- Book
- xviii, 254 pages ; 24 cm
Science Library (Li and Ma)
Science Library (Li and Ma) | Status |
---|---|
Stacks | |
QA275 .H235 2018 | Unknown |
- Book
- 1 volume (various pagings) : color illustrations ; 29 cm
- Part One Organization of the Body 1 Major Themes of Anatomy and PhysiologyATLAS A General Orientation to Human Anatomy 2 The Chemistry of Life 3 Cellular Form and Function 4 Genetics of Cellular Function 5 Histology Part Two Support and Movement 6 The Integumentary System 7 Bone Tissue 8 The Skeletal System 9 Joints 10 The Muscular SystemATLAS B Regional and Surface Anatomy 11 Muscular Tissue Part Three Internal Coordination and Control 12 Nervous Tissue 13 The Spinal Cord, Spinal Nerves, and Somatic Reflexes 14 The Brain and Cranial Nerves 15 The Autonomic Nervous System and Visceral Reflexes 16 Sense Organs 17 The Endocrine System Part Four Circulation and Defense 18 The Circulatory System: Blood 19 The Circulatory System: Heart 20 The Circulatory System: Blood Vessels and Circulation 21 The Lymphatic and Immune Systems Part Five Intake and Output 22 The Respiratory System 23 The Urinary System 24 Fluid, Electrolyte, and Acid - Base Balance 25 The Digestive System 26 Nutrition and Metabolism Part Six Reproduction and the Life Cycle 27 The Male Reproductive System 28 The Female Reproductive System 29 Human Development and Aging APPENDIX A: Periodic Table of the Elements APPENDIX B: Answer Keys APPENDIX C: Symbols, Weights, and Measures APPENDIX D: Biomedical Abbreviations APPENDIX E: The Genetic Code APPENDIX F: Lexicon of biomedical Word Elements APPENDIX G: Eighth Edition Changes in Terminology Glossary CreditsIndex.
- (source: Nielsen Book Data)9781259277726 20170410
(source: Nielsen Book Data)9781259277726 20170410
- Part One Organization of the Body 1 Major Themes of Anatomy and PhysiologyATLAS A General Orientation to Human Anatomy 2 The Chemistry of Life 3 Cellular Form and Function 4 Genetics of Cellular Function 5 Histology Part Two Support and Movement 6 The Integumentary System 7 Bone Tissue 8 The Skeletal System 9 Joints 10 The Muscular SystemATLAS B Regional and Surface Anatomy 11 Muscular Tissue Part Three Internal Coordination and Control 12 Nervous Tissue 13 The Spinal Cord, Spinal Nerves, and Somatic Reflexes 14 The Brain and Cranial Nerves 15 The Autonomic Nervous System and Visceral Reflexes 16 Sense Organs 17 The Endocrine System Part Four Circulation and Defense 18 The Circulatory System: Blood 19 The Circulatory System: Heart 20 The Circulatory System: Blood Vessels and Circulation 21 The Lymphatic and Immune Systems Part Five Intake and Output 22 The Respiratory System 23 The Urinary System 24 Fluid, Electrolyte, and Acid - Base Balance 25 The Digestive System 26 Nutrition and Metabolism Part Six Reproduction and the Life Cycle 27 The Male Reproductive System 28 The Female Reproductive System 29 Human Development and Aging APPENDIX A: Periodic Table of the Elements APPENDIX B: Answer Keys APPENDIX C: Symbols, Weights, and Measures APPENDIX D: Biomedical Abbreviations APPENDIX E: The Genetic Code APPENDIX F: Lexicon of biomedical Word Elements APPENDIX G: Eighth Edition Changes in Terminology Glossary CreditsIndex.
- (source: Nielsen Book Data)9781259277726 20170410
(source: Nielsen Book Data)9781259277726 20170410
Science Library (Li and Ma)
Science Library (Li and Ma) | Status |
---|---|
Stacks | |
QP34.5 .S23 2018 | Unknown |
3. Basic technical mathematics [2018]
- Book
- 1 volume (various pagings) : illustrations (some color) ; 29 cm
- 1 Basic Algebraic Operations 1.1 Numbers 1.2 Fundamental Operations of Algebra 1.3 Calculators and Approximate Numbers 1.4 Exponents and Unit Conversions 1.5 Scientific Notation 1.6 Roots and Radicals 1.7 Addition and Subtraction of Algebraic Expressions 1.8 Multiplication of Algebraic Expressions 1.9 Division of Algebraic Expressions 1.10 Solving Equations 1.11 Formulas and Literal Equations 1.12 Applied Word Problems 2 Geometry 2.1 Lines and Angles 2.2 Triangles 2.3 Quadrilaterals 2.4 Circles 2.5 Measurement of Irregular Areas 2.6 Solid Geometric Figures 3 Functions and Graphs 3.1 Introduction to Functions 3.2 More about Functions 3.3 Rectangular Coordinates 3.4 The Graph of a Function 3.5 Graphs on the Graphing Calculator 3.6 Graphs of Functions Defined by Tables of Data 4 The Trigonometric Functions 4.1 Angles 4.2 Defining the Trigonometric Functions 4.3 Values of the Trigonometric Functions 4.4 The Right Triangle 4.5 Applications of Right Triangles 5 Systems of Linear Equations Determinants 5.1 Linear Equations and Graphs of Linear Functions 5.2 Systems of Equations and Graphical Solutions 5.3 Solving Systems of Two Linear Equations in Two Unknowns Algebraically 5.4 Solving Systems of Two Linear Equations in Two Unknowns by Determinants 5.5 Solving Systems of Three Linear Equations in Three Unknowns Algebraically 5.6 Solving Systems of Three Linear Equations in Three Unknowns by Determinants 6 Factoring and Fractions 6.1 Factoring: Greatest Common Factor and Difference of Squares 6.2 Factoring Trinomials 6.3 The Sum and Difference of Cubes 6.4 Equivalent Fractions 6.5 Multiplication and Division of Fractions 6.6 Addition and Subtraction of Fractions 6.7 Equations Involving Fractions 7 Quadratic Equations 7.1 Quadratic Equations-- Solution by Factoring 7.2 Completing the Square 7.3 The Quadratic Formula 7.4 The Graph of the Quadratic Function 8 Trigonometric Functions of Any Angle 8.1 Signs of the Trigonometric Functions 8.2 Trigonometric Functions of Any Angle 8.3 Radians 8.4 Applications of Radian Measure 9 Vectors and Oblique Triangles 9.1 Introduction to Vectors 9.2 Components of Vectors 9.3 Vector Addition by Components 9.4 Applications of Vectors 9.5 Oblique Triangles, the Law of Sines 9.6 The Law of Cosines 10 Graphs of the Trigonometric Functions 10.1 Graphs of y = a sin x and y = a cos x 10.2 Graphs of y = a sin bx and y = a cos bx 10.3 Graphs of y = a sin (bx + c) and y = a cos (bx + c) 10.4 Graphs of y = tan x, y = cot x, y = sec x, y = csc x 10.5 Applications of the Trigonometric Graphs 10.6 Composite Trigonometric Curves 11 Exponents and Radicals 11.1 Simplifying Expressions with Integer Exponents 11.2 Fractional Exponents 11.3 Simplest Radical Form 11.4 Addition and Subtraction of Radicals 11.5 Multiplication and Division of Radicals 12 Complex Numbers 12.1 Basic Definitions 12.2 Basic Operations with Complex Numbers 12.3 Graphical Representation of Complex Numbers 12.4 Polar Form of a Complex Number 12.5 Exponential Form of a Complex Number 12.6 Products, Quotients, Powers, and Roots of Complex Numbers 12.7 An Application to Alternating-current (ac) Circuits 13 Exponential and Logarithmic Functions 13.1 Exponential Functions 13.2 Logarithmic Functions 13.3 Properties of Logarithms 13.4 Logarithms to the Base 10 13.5 Natural Logarithms 13.6 Exponential and Logarithmic Equations 13.7 Graphs on Logarithmic and Semilogarithmic Paper 14 Additional Types of Equations and Systems of Equations 14.1 Graphical Solution of Systems of Equations 14.2 Algebraic Solution of Systems of Equations 14.3 Equations in Quadratic Form 14.4 Equations with Radicals 15 Equations of Higher Degree 15.1 The Remainder and Factor Theorems-- Synthetic Division 15.2 The Roots of an Equation 15.3 Rational and Irrational Roots 16 Matrices-- Systems of Linear Equations 16.1 Matrices: Definitions and Basic Operations 16.2 Multiplication of Matrices 16.3 Finding the Inverse of a Matrix 16.4 Matrices and Linear Equations 16.5 Gaussian Elimination 16.6 Higher-order Determinants 17 Inequalities 17.1 Properties of Inequalities 17.2 Solving Linear Inequalities 17.3 Solving Nonlinear Inequalities 17.4 Inequalities Involving Absolute Values 17.5 Graphical Solution of Inequalities with Two Variables 17.6 Linear Programming 18 Variation 18.1 Ratio and Proportion 18.2 Variation 19 Sequences and the Binomial Theorem 19.1 Arithmetic Sequences 19.2 Geometric Sequences 19.3 Infinite Geometric Series 19.4 The Binomial Theorem 20 Additional Topics in Trigonometry 20.1 Fundamental Trigonometric Identities 20.2 The Sum and Difference Formulas 20.3 Double-Angle Formulas 20.4 Half-Angle Formulas 20.5 Solving Trigonometric Equations 20.6 The Inverse Trigonometric Functions 21 Plane Analytic Geometry 21.1 Basic Definitions 21.2 The Straight Line 21.3 The Circle 21.4 The Parabola 21.5 The Ellipse 21.6 The Hyperbola 21.7 Translation of Axes 21.8 The Second-degree Equation 21.9 Rotation of Axes 21.10 Polar Coordinates 21.11 Curves in Polar Coordinates 22 Introduction to Statistics 22.1 Graphical Displays of Data 22.2 Measures of Central Tendency 22.3 Standard Deviation 22.4 Normal Distributions 22.5 Statistical Process Control 22.6 Linear Regression 22.7 Nonlinear Regression Appendix A Solving Word Problems Appendix B Units of Measurement.
- (source: Nielsen Book Data)9780134437705 20170515
(source: Nielsen Book Data)9780134437705 20170515
- 1 Basic Algebraic Operations 1.1 Numbers 1.2 Fundamental Operations of Algebra 1.3 Calculators and Approximate Numbers 1.4 Exponents and Unit Conversions 1.5 Scientific Notation 1.6 Roots and Radicals 1.7 Addition and Subtraction of Algebraic Expressions 1.8 Multiplication of Algebraic Expressions 1.9 Division of Algebraic Expressions 1.10 Solving Equations 1.11 Formulas and Literal Equations 1.12 Applied Word Problems 2 Geometry 2.1 Lines and Angles 2.2 Triangles 2.3 Quadrilaterals 2.4 Circles 2.5 Measurement of Irregular Areas 2.6 Solid Geometric Figures 3 Functions and Graphs 3.1 Introduction to Functions 3.2 More about Functions 3.3 Rectangular Coordinates 3.4 The Graph of a Function 3.5 Graphs on the Graphing Calculator 3.6 Graphs of Functions Defined by Tables of Data 4 The Trigonometric Functions 4.1 Angles 4.2 Defining the Trigonometric Functions 4.3 Values of the Trigonometric Functions 4.4 The Right Triangle 4.5 Applications of Right Triangles 5 Systems of Linear Equations Determinants 5.1 Linear Equations and Graphs of Linear Functions 5.2 Systems of Equations and Graphical Solutions 5.3 Solving Systems of Two Linear Equations in Two Unknowns Algebraically 5.4 Solving Systems of Two Linear Equations in Two Unknowns by Determinants 5.5 Solving Systems of Three Linear Equations in Three Unknowns Algebraically 5.6 Solving Systems of Three Linear Equations in Three Unknowns by Determinants 6 Factoring and Fractions 6.1 Factoring: Greatest Common Factor and Difference of Squares 6.2 Factoring Trinomials 6.3 The Sum and Difference of Cubes 6.4 Equivalent Fractions 6.5 Multiplication and Division of Fractions 6.6 Addition and Subtraction of Fractions 6.7 Equations Involving Fractions 7 Quadratic Equations 7.1 Quadratic Equations-- Solution by Factoring 7.2 Completing the Square 7.3 The Quadratic Formula 7.4 The Graph of the Quadratic Function 8 Trigonometric Functions of Any Angle 8.1 Signs of the Trigonometric Functions 8.2 Trigonometric Functions of Any Angle 8.3 Radians 8.4 Applications of Radian Measure 9 Vectors and Oblique Triangles 9.1 Introduction to Vectors 9.2 Components of Vectors 9.3 Vector Addition by Components 9.4 Applications of Vectors 9.5 Oblique Triangles, the Law of Sines 9.6 The Law of Cosines 10 Graphs of the Trigonometric Functions 10.1 Graphs of y = a sin x and y = a cos x 10.2 Graphs of y = a sin bx and y = a cos bx 10.3 Graphs of y = a sin (bx + c) and y = a cos (bx + c) 10.4 Graphs of y = tan x, y = cot x, y = sec x, y = csc x 10.5 Applications of the Trigonometric Graphs 10.6 Composite Trigonometric Curves 11 Exponents and Radicals 11.1 Simplifying Expressions with Integer Exponents 11.2 Fractional Exponents 11.3 Simplest Radical Form 11.4 Addition and Subtraction of Radicals 11.5 Multiplication and Division of Radicals 12 Complex Numbers 12.1 Basic Definitions 12.2 Basic Operations with Complex Numbers 12.3 Graphical Representation of Complex Numbers 12.4 Polar Form of a Complex Number 12.5 Exponential Form of a Complex Number 12.6 Products, Quotients, Powers, and Roots of Complex Numbers 12.7 An Application to Alternating-current (ac) Circuits 13 Exponential and Logarithmic Functions 13.1 Exponential Functions 13.2 Logarithmic Functions 13.3 Properties of Logarithms 13.4 Logarithms to the Base 10 13.5 Natural Logarithms 13.6 Exponential and Logarithmic Equations 13.7 Graphs on Logarithmic and Semilogarithmic Paper 14 Additional Types of Equations and Systems of Equations 14.1 Graphical Solution of Systems of Equations 14.2 Algebraic Solution of Systems of Equations 14.3 Equations in Quadratic Form 14.4 Equations with Radicals 15 Equations of Higher Degree 15.1 The Remainder and Factor Theorems-- Synthetic Division 15.2 The Roots of an Equation 15.3 Rational and Irrational Roots 16 Matrices-- Systems of Linear Equations 16.1 Matrices: Definitions and Basic Operations 16.2 Multiplication of Matrices 16.3 Finding the Inverse of a Matrix 16.4 Matrices and Linear Equations 16.5 Gaussian Elimination 16.6 Higher-order Determinants 17 Inequalities 17.1 Properties of Inequalities 17.2 Solving Linear Inequalities 17.3 Solving Nonlinear Inequalities 17.4 Inequalities Involving Absolute Values 17.5 Graphical Solution of Inequalities with Two Variables 17.6 Linear Programming 18 Variation 18.1 Ratio and Proportion 18.2 Variation 19 Sequences and the Binomial Theorem 19.1 Arithmetic Sequences 19.2 Geometric Sequences 19.3 Infinite Geometric Series 19.4 The Binomial Theorem 20 Additional Topics in Trigonometry 20.1 Fundamental Trigonometric Identities 20.2 The Sum and Difference Formulas 20.3 Double-Angle Formulas 20.4 Half-Angle Formulas 20.5 Solving Trigonometric Equations 20.6 The Inverse Trigonometric Functions 21 Plane Analytic Geometry 21.1 Basic Definitions 21.2 The Straight Line 21.3 The Circle 21.4 The Parabola 21.5 The Ellipse 21.6 The Hyperbola 21.7 Translation of Axes 21.8 The Second-degree Equation 21.9 Rotation of Axes 21.10 Polar Coordinates 21.11 Curves in Polar Coordinates 22 Introduction to Statistics 22.1 Graphical Displays of Data 22.2 Measures of Central Tendency 22.3 Standard Deviation 22.4 Normal Distributions 22.5 Statistical Process Control 22.6 Linear Regression 22.7 Nonlinear Regression Appendix A Solving Word Problems Appendix B Units of Measurement.
- (source: Nielsen Book Data)9780134437705 20170515
(source: Nielsen Book Data)9780134437705 20170515
Science Library (Li and Ma)
Science Library (Li and Ma) | Status |
---|---|
Stacks | |
QA39.3 .W365 2018 | Unknown |
- Book
- 1 volume (various pagings) : color illustrations ; 29 cm
- 1 Basic Algebraic Operations 1.1 Numbers 1.2 Fundamental Operations of Algebra 1.3 Calculators and Approximate Numbers 1.4 Exponents and Unit Conversions 1.5 Scientific Notation 1.6 Roots and Radicals 1.7 Addition and Subtraction of Algebraic Expressions 1.8 Multiplication of Algebraic Expressions 1.9 Division of Algebraic Expressions 1.10 Solving Equations 1.11 Formulas and Literal Equations 1.12 Applied Word Problems 2 Geometry 2.1 Lines and Angles 2.2 Triangles 2.3 Quadrilaterals 2.4 Circles 2.5 Measurement of Irregular Areas 2.6 Solid Geometric Figures 3 Functions and Graphs 3.1 Introduction to Functions 3.2 More about Functions 3.3 Rectangular Coordinates 3.4 The Graph of a Function 3.5 Graphs on the Graphing Calculator 3.6 Graphs of Functions Defined by Tables of Data 4 The Trigonometric Functions 4.1 Angles 4.2 Defining the Trigonometric Functions 4.3 Values of the Trigonometric Functions 4.4 The Right Triangle 4.5 Applications of Right Triangles 5 Systems of Linear Equations Determinants 5.1 Linear Equations and Graphs of Linear Functions 5.2 Systems of Equations and Graphical Solutions 5.3 Solving Systems of Two Linear Equations in Two Unknowns Algebraically 5.4 Solving Systems of Two Linear Equations in Two Unknowns by Determinants 5.5 Solving Systems of Three Linear Equations in Three Unknowns Algebraically 5.6 Solving Systems of Three Linear Equations in Three Unknowns by Determinants 6 Factoring and Fractions 6.1 Factoring: Greatest Common Factor and Difference of Squares 6.2 Factoring Trinomials 6.3 The Sum and Difference of Cubes 6.4 Equivalent Fractions 6.5 Multiplication and Division of Fractions 6.6 Addition and Subtraction of Fractions 6.7 Equations Involving Fractions 7 Quadratic Equations 7.1 Quadratic Equations-- Solution by Factoring 7.2 Completing the Square 7.3 The Quadratic Formula 7.4 The Graph of the Quadratic Function 8 Trigonometric Functions of Any Angle 8.1 Signs of the Trigonometric Functions 8.2 Trigonometric Functions of Any Angle 8.3 Radians 8.4 Applications of Radian Measure 9 Vectors and Oblique Triangles 9.1 Introduction to Vectors 9.2 Components of Vectors 9.3 Vector Addition by Components 9.4 Applications of Vectors 9.5 Oblique Triangles, the Law of Sines 9.6 The Law of Cosines 10 Graphs of the Trigonometric Functions 10.1 Graphs of y = a sin x and y = a cos x 10.2 Graphs of y = a sin bx and y = a cos bx 10.3 Graphs of y = a sin (bx + c) and y = a cos (bx + c) 10.4 Graphs of y = tan x, y = cot x, y = sec x, y = csc x 10.5 Applications of the Trigonometric Graphs 10.6 Composite Trigonometric Curves 11 Exponents and Radicals 11.1 Simplifying Expressions with Integer Exponents 11.2 Fractional Exponents 11.3 Simplest Radical Form 11.4 Addition and Subtraction of Radicals 11.5 Multiplication and Division of Radicals 12 Complex Numbers 12.1 Basic Definitions 12.2 Basic Operations with Complex Numbers 12.3 Graphical Representation of Complex Numbers 12.4 Polar Form of a Complex Number 12.5 Exponential Form of a Complex Number 12.6 Products, Quotients, Powers, and Roots of Complex Numbers 12.7 An Application to Alternating-current (ac) Circuits 13 Exponential and Logarithmic Functions 13.1 Exponential Functions 13.2 Logarithmic Functions 13.3 Properties of Logarithms 13.4 Logarithms to the Base 10 13.5 Natural Logarithms 13.6 Exponential and Logarithmic Equations 13.7 Graphs on Logarithmic and Semilogarithmic Paper 14 Additional Types of Equations and Systems of Equations 14.1 Graphical Solution of Systems of Equations 14.2 Algebraic Solution of Systems of Equations 14.3 Equations in Quadratic Form 14.4 Equations with Radicals 15 Equations of Higher Degree 15.1 The Remainder and Factor Theorems-- Synthetic Division 15.2 The Roots of an Equation 15.3 Rational and Irrational Roots 16 Matrices-- Systems of Linear Equations 16.1 Matrices: Definitions and Basic Operations 16.2 Multiplication of Matrices 16.3 Finding the Inverse of a Matrix 16.4 Matrices and Linear Equations 16.5 Gaussian Elimination 16.6 Higher-order Determinants 17 Inequalities 17.1 Properties of Inequalities 17.2 Solving Linear Inequalities 17.3 Solving Nonlinear Inequalities 17.4 Inequalities Involving Absolute Values 17.5 Graphical Solution of Inequalities with Two Variables 17.6 Linear Programming 18 Variation 18.1 Ratio and Proportion 18.2 Variation 19 Sequences and the Binomial Theorem 19.1 Arithmetic Sequences 19.2 Geometric Sequences 19.3 Infinite Geometric Series 19.4 The Binomial Theorem 20 Additional Topics in Trigonometry 20.1 Fundamental Trigonometric Identities 20.2 The Sum and Difference Formulas 20.3 Double-Angle Formulas 20.4 Half-Angle Formulas 20.5 Solving Trigonometric Equations 20.6 The Inverse Trigonometric Functions 21 Plane Analytic Geometry 21.1 Basic Definitions 21.2 The Straight Line 21.3 The Circle 21.4 The Parabola 21.5 The Ellipse 21.6 The Hyperbola 21.7 Translation of Axes 21.8 The Second-degree Equation 21.9 Rotation of Axes 21.10 Polar Coordinates 21.11 Curves in Polar Coordinates 22 Introduction to Statistics 22.1 Graphical Displays of Data 22.2 Measures of Central Tendency 22.3 Standard Deviation 22.4 Normal Distributions 22.5 Statistical Process Control 22.6 Linear Regression 22.7 Nonlinear Regression 23 The Derivative 23.1 Limits 23.2 The Slope of a Tangent to a Curve 23.3 The Derivative 23.4 The Derivative as an Instantaneous Rate of Change 23.5 Derivatives of Polynomials 23.6 Derivatives of Products and Quotients of Functions 23.7 The Derivative of a Power of a Function 23.8 Differentiation of Implicit Functions 23.9 Higher Derivatives 24 Applications of the Derivative 24.1 Tangents and Normals 24.2 Newton's Method for Solving Equations 24.3 Curvilinear Motion 24.4 Related Rates 24.5 Using Derivatives in Curve Sketching 24.6 More on Curve Sketching 24.7 Applied Maximum and Minimum Problems 24.8 Differentials and Linear Approximations 25 Integration 25.1 Antiderivatives 25.2 The Indefinite Integral 25.3 The Area Under a Curve 25.4 The Definite Integral 25.5 Numerical Integration: The Trapezoidal Rule 25.6 Simpson's Rule 26 Applications of Integration 26.1 Applications of the Indefinite Integral 26.2 Areas by Integration 26.3 Volumes by Integration 26.4 Centroids 26.5 Moments of Inertia 26.6 Other Applications 27 Differentiation of Transcendental Functions 27.1 Derivatives of the Sine and Cosine Functions 27.2 Derivatives of the Other Trigonometric Functions 27.3 Derivatives of the Inverse Trigonometric Functions 27.4 Applications 27.5 Derivative of the Logarithmic Function 27.6 Derivative of the Exponential Function 27.7 L'Hospital's Rule 27.8 Applications 28 Methods of Integration 28.1 The Power Rule for Integration 28.2 The Basic Logarithmic Form 28.3 The Exponential Form 28.4 Basic Trigonometric Forms 28.5 Other Trigonometric Forms 28.6 Inverse Trigonometric Forms 28.7 Integration by Parts 28.8 Integration by Trigonometric Substitution 28.9 Integration by Partial Fractions: Non-repeated Linear Factors 28.10 Integration by Partial Fractions: Other Cases 28.11 Integration by Use of Tables 29 Partial Derivatives and Double Integrals 29.1 Functions of Two Variables 29.2 Curves and Surfaces in Three Dimensions 29.3 Partial Derivatives 29.4 Double Integrals 30 Expansion of Functions in Series 30.1 Infinite Series 30.2 Maclaurin Series 30.3 Operations with Series 30.4 Computations by Use of Series Expansions 30.5 Taylor Series 30.6 Introduction to Fourier Series 30.7 More About Fourier Series 31 Differential Equations 31.1 Solutions of Differential Equations 31.2 Separation of Variables 31.3 Integrating Combinations 31.4 The Linear Differential Equation of the First Order 31.5 Numerical Solutions of First-order Equations 31.6 Elementary Applications 31.7 Higher-order Homogeneous Equations 31.8 Auxiliary Equation with Repeated or Complex Roots 31.9 Solutions of Nonhomogeneous Equations 31.10 Applications of Higher-order Equations 31.11 Laplace Transforms 31.12 Solving Differential Equations by Laplace Transforms Appendix A Solving Word Problems Appendix B Units of Measurement Appendix C Newton's Method Appendix D A Table of Integrals.
- (source: Nielsen Book Data)9780134437736 20170515
(source: Nielsen Book Data)9780134437736 20170515
- 1 Basic Algebraic Operations 1.1 Numbers 1.2 Fundamental Operations of Algebra 1.3 Calculators and Approximate Numbers 1.4 Exponents and Unit Conversions 1.5 Scientific Notation 1.6 Roots and Radicals 1.7 Addition and Subtraction of Algebraic Expressions 1.8 Multiplication of Algebraic Expressions 1.9 Division of Algebraic Expressions 1.10 Solving Equations 1.11 Formulas and Literal Equations 1.12 Applied Word Problems 2 Geometry 2.1 Lines and Angles 2.2 Triangles 2.3 Quadrilaterals 2.4 Circles 2.5 Measurement of Irregular Areas 2.6 Solid Geometric Figures 3 Functions and Graphs 3.1 Introduction to Functions 3.2 More about Functions 3.3 Rectangular Coordinates 3.4 The Graph of a Function 3.5 Graphs on the Graphing Calculator 3.6 Graphs of Functions Defined by Tables of Data 4 The Trigonometric Functions 4.1 Angles 4.2 Defining the Trigonometric Functions 4.3 Values of the Trigonometric Functions 4.4 The Right Triangle 4.5 Applications of Right Triangles 5 Systems of Linear Equations Determinants 5.1 Linear Equations and Graphs of Linear Functions 5.2 Systems of Equations and Graphical Solutions 5.3 Solving Systems of Two Linear Equations in Two Unknowns Algebraically 5.4 Solving Systems of Two Linear Equations in Two Unknowns by Determinants 5.5 Solving Systems of Three Linear Equations in Three Unknowns Algebraically 5.6 Solving Systems of Three Linear Equations in Three Unknowns by Determinants 6 Factoring and Fractions 6.1 Factoring: Greatest Common Factor and Difference of Squares 6.2 Factoring Trinomials 6.3 The Sum and Difference of Cubes 6.4 Equivalent Fractions 6.5 Multiplication and Division of Fractions 6.6 Addition and Subtraction of Fractions 6.7 Equations Involving Fractions 7 Quadratic Equations 7.1 Quadratic Equations-- Solution by Factoring 7.2 Completing the Square 7.3 The Quadratic Formula 7.4 The Graph of the Quadratic Function 8 Trigonometric Functions of Any Angle 8.1 Signs of the Trigonometric Functions 8.2 Trigonometric Functions of Any Angle 8.3 Radians 8.4 Applications of Radian Measure 9 Vectors and Oblique Triangles 9.1 Introduction to Vectors 9.2 Components of Vectors 9.3 Vector Addition by Components 9.4 Applications of Vectors 9.5 Oblique Triangles, the Law of Sines 9.6 The Law of Cosines 10 Graphs of the Trigonometric Functions 10.1 Graphs of y = a sin x and y = a cos x 10.2 Graphs of y = a sin bx and y = a cos bx 10.3 Graphs of y = a sin (bx + c) and y = a cos (bx + c) 10.4 Graphs of y = tan x, y = cot x, y = sec x, y = csc x 10.5 Applications of the Trigonometric Graphs 10.6 Composite Trigonometric Curves 11 Exponents and Radicals 11.1 Simplifying Expressions with Integer Exponents 11.2 Fractional Exponents 11.3 Simplest Radical Form 11.4 Addition and Subtraction of Radicals 11.5 Multiplication and Division of Radicals 12 Complex Numbers 12.1 Basic Definitions 12.2 Basic Operations with Complex Numbers 12.3 Graphical Representation of Complex Numbers 12.4 Polar Form of a Complex Number 12.5 Exponential Form of a Complex Number 12.6 Products, Quotients, Powers, and Roots of Complex Numbers 12.7 An Application to Alternating-current (ac) Circuits 13 Exponential and Logarithmic Functions 13.1 Exponential Functions 13.2 Logarithmic Functions 13.3 Properties of Logarithms 13.4 Logarithms to the Base 10 13.5 Natural Logarithms 13.6 Exponential and Logarithmic Equations 13.7 Graphs on Logarithmic and Semilogarithmic Paper 14 Additional Types of Equations and Systems of Equations 14.1 Graphical Solution of Systems of Equations 14.2 Algebraic Solution of Systems of Equations 14.3 Equations in Quadratic Form 14.4 Equations with Radicals 15 Equations of Higher Degree 15.1 The Remainder and Factor Theorems-- Synthetic Division 15.2 The Roots of an Equation 15.3 Rational and Irrational Roots 16 Matrices-- Systems of Linear Equations 16.1 Matrices: Definitions and Basic Operations 16.2 Multiplication of Matrices 16.3 Finding the Inverse of a Matrix 16.4 Matrices and Linear Equations 16.5 Gaussian Elimination 16.6 Higher-order Determinants 17 Inequalities 17.1 Properties of Inequalities 17.2 Solving Linear Inequalities 17.3 Solving Nonlinear Inequalities 17.4 Inequalities Involving Absolute Values 17.5 Graphical Solution of Inequalities with Two Variables 17.6 Linear Programming 18 Variation 18.1 Ratio and Proportion 18.2 Variation 19 Sequences and the Binomial Theorem 19.1 Arithmetic Sequences 19.2 Geometric Sequences 19.3 Infinite Geometric Series 19.4 The Binomial Theorem 20 Additional Topics in Trigonometry 20.1 Fundamental Trigonometric Identities 20.2 The Sum and Difference Formulas 20.3 Double-Angle Formulas 20.4 Half-Angle Formulas 20.5 Solving Trigonometric Equations 20.6 The Inverse Trigonometric Functions 21 Plane Analytic Geometry 21.1 Basic Definitions 21.2 The Straight Line 21.3 The Circle 21.4 The Parabola 21.5 The Ellipse 21.6 The Hyperbola 21.7 Translation of Axes 21.8 The Second-degree Equation 21.9 Rotation of Axes 21.10 Polar Coordinates 21.11 Curves in Polar Coordinates 22 Introduction to Statistics 22.1 Graphical Displays of Data 22.2 Measures of Central Tendency 22.3 Standard Deviation 22.4 Normal Distributions 22.5 Statistical Process Control 22.6 Linear Regression 22.7 Nonlinear Regression 23 The Derivative 23.1 Limits 23.2 The Slope of a Tangent to a Curve 23.3 The Derivative 23.4 The Derivative as an Instantaneous Rate of Change 23.5 Derivatives of Polynomials 23.6 Derivatives of Products and Quotients of Functions 23.7 The Derivative of a Power of a Function 23.8 Differentiation of Implicit Functions 23.9 Higher Derivatives 24 Applications of the Derivative 24.1 Tangents and Normals 24.2 Newton's Method for Solving Equations 24.3 Curvilinear Motion 24.4 Related Rates 24.5 Using Derivatives in Curve Sketching 24.6 More on Curve Sketching 24.7 Applied Maximum and Minimum Problems 24.8 Differentials and Linear Approximations 25 Integration 25.1 Antiderivatives 25.2 The Indefinite Integral 25.3 The Area Under a Curve 25.4 The Definite Integral 25.5 Numerical Integration: The Trapezoidal Rule 25.6 Simpson's Rule 26 Applications of Integration 26.1 Applications of the Indefinite Integral 26.2 Areas by Integration 26.3 Volumes by Integration 26.4 Centroids 26.5 Moments of Inertia 26.6 Other Applications 27 Differentiation of Transcendental Functions 27.1 Derivatives of the Sine and Cosine Functions 27.2 Derivatives of the Other Trigonometric Functions 27.3 Derivatives of the Inverse Trigonometric Functions 27.4 Applications 27.5 Derivative of the Logarithmic Function 27.6 Derivative of the Exponential Function 27.7 L'Hospital's Rule 27.8 Applications 28 Methods of Integration 28.1 The Power Rule for Integration 28.2 The Basic Logarithmic Form 28.3 The Exponential Form 28.4 Basic Trigonometric Forms 28.5 Other Trigonometric Forms 28.6 Inverse Trigonometric Forms 28.7 Integration by Parts 28.8 Integration by Trigonometric Substitution 28.9 Integration by Partial Fractions: Non-repeated Linear Factors 28.10 Integration by Partial Fractions: Other Cases 28.11 Integration by Use of Tables 29 Partial Derivatives and Double Integrals 29.1 Functions of Two Variables 29.2 Curves and Surfaces in Three Dimensions 29.3 Partial Derivatives 29.4 Double Integrals 30 Expansion of Functions in Series 30.1 Infinite Series 30.2 Maclaurin Series 30.3 Operations with Series 30.4 Computations by Use of Series Expansions 30.5 Taylor Series 30.6 Introduction to Fourier Series 30.7 More About Fourier Series 31 Differential Equations 31.1 Solutions of Differential Equations 31.2 Separation of Variables 31.3 Integrating Combinations 31.4 The Linear Differential Equation of the First Order 31.5 Numerical Solutions of First-order Equations 31.6 Elementary Applications 31.7 Higher-order Homogeneous Equations 31.8 Auxiliary Equation with Repeated or Complex Roots 31.9 Solutions of Nonhomogeneous Equations 31.10 Applications of Higher-order Equations 31.11 Laplace Transforms 31.12 Solving Differential Equations by Laplace Transforms Appendix A Solving Word Problems Appendix B Units of Measurement Appendix C Newton's Method Appendix D A Table of Integrals.
- (source: Nielsen Book Data)9780134437736 20170515
(source: Nielsen Book Data)9780134437736 20170515
Science Library (Li and Ma)
Science Library (Li and Ma) | Status |
---|---|
Stacks | |
QA37.3 .W38 2018 | Unknown |
5. Bioengineering fundamentals [2018]
- Book
- x, 613 pages ; 27 cm
For sophomore-level courses in Bioengineering, Biomedical Engineering, and related fields. A unifying, interdisciplinary approach to the fundamentals of bioengineering Now in its 2nd Edition, Bioengineering Fundamentals combines engineering principles with technical rigor and a problem-solving focus, ultimately taking a unifying, interdisciplinary approach to the conservation laws that form the foundation of bioengineering: mass, energy, charge, and momentum. The text emphasizes fundamental concepts, practical skill development, and problem-solving strategies while incorporating a wide array of examples and case studies. This 2nd Edition has been updated and expanded with new and clarified content, plus new homework and example problems.
(source: Nielsen Book Data)9780134637433 20170703
(source: Nielsen Book Data)9780134637433 20170703
For sophomore-level courses in Bioengineering, Biomedical Engineering, and related fields. A unifying, interdisciplinary approach to the fundamentals of bioengineering Now in its 2nd Edition, Bioengineering Fundamentals combines engineering principles with technical rigor and a problem-solving focus, ultimately taking a unifying, interdisciplinary approach to the conservation laws that form the foundation of bioengineering: mass, energy, charge, and momentum. The text emphasizes fundamental concepts, practical skill development, and problem-solving strategies while incorporating a wide array of examples and case studies. This 2nd Edition has been updated and expanded with new and clarified content, plus new homework and example problems.
(source: Nielsen Book Data)9780134637433 20170703
(source: Nielsen Book Data)9780134637433 20170703
Science Library (Li and Ma)
Science Library (Li and Ma) | Status |
---|---|
Stacks | |
TA164 .S38 2018 | In-library use New books shelf Request |
6. Biology : concepts and applications [2018]
- Book
- xxvii, 854 pages : illustrations (chiefly color), color map ; 28 cm
- INTRODUCTION. 1. The Science of Biology. Unit I: PRINCIPLES OF CELLULAR LIFE. 2. Life's Chemical Basis. 3. Molecules of Life. 4. Cell Structure. 5. Ground Rules of Metabolism. 6. Where It Starts-Photosynthesis. 7. Releasing Chemical Energy. UNIT II: GENETICS. 8. DNA Structure and Function. 9. From DNA to Protein. 10. Control of Gene Expression. 11. How Cells Reproduce. 12. Meiosis and Sexual Reproduction. 13. Patterns in Inherited Traits. 14. Human Inheritance. 15. Biotechnology. UNIT III: PRINCIPLES OF EVOLUTION. 16. Evidence of Evolution. 17. Processes of Evolution. 18. Life's Origin and Early Evolution. UNIT IV: EVOLUTION AND BIODIVERSITY. 19. Viruses, Bacteria, and Archaea. 20. The Protists. 21. Plant Evolution. 22. Fungi. 23. Animals I: Major Invertebrate Groups. 24. Animals II: The Chordates. UNIT V. HOW PLANTS WORK. 25. Plant Tissues. 26. Plant Nutrition and Transport. 27. Plant Reproduction and Development. UNIT VI. HOW ANIMALS WORK. 28. Animal Tissues and Organ Systems. 29. Neural Control. 30. Sensory Perception. 31. Endocrine Control. 32. Structural Support and Movement. 33. Circulation. 34. Immunity. 35. Respiration. 36. Digestion and Human Nutrition. 37. Maintaining the Internal Environment. 38. Reproduction and Development. UNIT VII: PRINCIPLES OF ECOLOGY. 39. Animal Behavior. 40. Population Ecology. 41. Community Ecology. 42. Ecosystems. 43. The Biosphere. 44. Human Effects on the Biosphere. Appendix I: Periodic Table of the Elements. Appendix II: Amino Acids. Appendix III: A Closer Look at Some Major Metabolic Pathways. Appendix IV: A Plain English Map of the Human Chromosomes. Appendix V: Restless Earth-Life's Changing Geologic Stage. Appendix VI: Units of Measure. Appendix VII: Answers to Self-Quizzes and Genetics Problems. Glossary. Index.
- (source: Nielsen Book Data)9781305967335 20170410
(source: Nielsen Book Data)9781305967335 20170410
- INTRODUCTION. 1. The Science of Biology. Unit I: PRINCIPLES OF CELLULAR LIFE. 2. Life's Chemical Basis. 3. Molecules of Life. 4. Cell Structure. 5. Ground Rules of Metabolism. 6. Where It Starts-Photosynthesis. 7. Releasing Chemical Energy. UNIT II: GENETICS. 8. DNA Structure and Function. 9. From DNA to Protein. 10. Control of Gene Expression. 11. How Cells Reproduce. 12. Meiosis and Sexual Reproduction. 13. Patterns in Inherited Traits. 14. Human Inheritance. 15. Biotechnology. UNIT III: PRINCIPLES OF EVOLUTION. 16. Evidence of Evolution. 17. Processes of Evolution. 18. Life's Origin and Early Evolution. UNIT IV: EVOLUTION AND BIODIVERSITY. 19. Viruses, Bacteria, and Archaea. 20. The Protists. 21. Plant Evolution. 22. Fungi. 23. Animals I: Major Invertebrate Groups. 24. Animals II: The Chordates. UNIT V. HOW PLANTS WORK. 25. Plant Tissues. 26. Plant Nutrition and Transport. 27. Plant Reproduction and Development. UNIT VI. HOW ANIMALS WORK. 28. Animal Tissues and Organ Systems. 29. Neural Control. 30. Sensory Perception. 31. Endocrine Control. 32. Structural Support and Movement. 33. Circulation. 34. Immunity. 35. Respiration. 36. Digestion and Human Nutrition. 37. Maintaining the Internal Environment. 38. Reproduction and Development. UNIT VII: PRINCIPLES OF ECOLOGY. 39. Animal Behavior. 40. Population Ecology. 41. Community Ecology. 42. Ecosystems. 43. The Biosphere. 44. Human Effects on the Biosphere. Appendix I: Periodic Table of the Elements. Appendix II: Amino Acids. Appendix III: A Closer Look at Some Major Metabolic Pathways. Appendix IV: A Plain English Map of the Human Chromosomes. Appendix V: Restless Earth-Life's Changing Geologic Stage. Appendix VI: Units of Measure. Appendix VII: Answers to Self-Quizzes and Genetics Problems. Glossary. Index.
- (source: Nielsen Book Data)9781305967335 20170410
(source: Nielsen Book Data)9781305967335 20170410
Science Library (Li and Ma)
Science Library (Li and Ma) | Status |
---|---|
Stacks | |
QH307.2 .S73 2018 | Unknown |
7. Biopsychology [2018]
- Book
- xxiii, 595 pages : color illustrations ; 29 cm
- What is biopsychology?
- Foundations of biopsychology
- Sensory and motor systems
- Brain plasticity
- Biopsychology of motivation
- Disorders of cognition and emotion.
(source: Nielsen Book Data)9780134203690 20170306
- What is biopsychology?
- Foundations of biopsychology
- Sensory and motor systems
- Brain plasticity
- Biopsychology of motivation
- Disorders of cognition and emotion.
(source: Nielsen Book Data)9780134203690 20170306
Science Library (Li and Ma)
Science Library (Li and Ma) | Status |
---|---|
Stacks | |
QP360 .P463 2018 | Unknown |
- Book
- xvi, 699 pages : color illustrations ; 28 cm
- 1. Introduction to Statistics 2. Exploring Data with Tables and Graphs 3. Describing, Exploring, and Comparing Data 4. Probability 5. Discrete Probability Distributions 6. Normal Probability Distributions 7. Estimating Parameters and Determining Sample Sizes 8. Hypothesis Testing 9. Inferences from Two Samples 10. Correlation and Regression 11. Goodness-of-Fit and Contingency Tables 12. Analysis of Variance 13. Nonparametric Tests 14. Survival Analysis.
- (source: Nielsen Book Data)9780134039015 20170313
(source: Nielsen Book Data)9780134039015 20170313
- 1. Introduction to Statistics 2. Exploring Data with Tables and Graphs 3. Describing, Exploring, and Comparing Data 4. Probability 5. Discrete Probability Distributions 6. Normal Probability Distributions 7. Estimating Parameters and Determining Sample Sizes 8. Hypothesis Testing 9. Inferences from Two Samples 10. Correlation and Regression 11. Goodness-of-Fit and Contingency Tables 12. Analysis of Variance 13. Nonparametric Tests 14. Survival Analysis.
- (source: Nielsen Book Data)9780134039015 20170313
(source: Nielsen Book Data)9780134039015 20170313
Science Library (Li and Ma)
Science Library (Li and Ma) | Status |
---|---|
Stacks | |
QH323.5 .T75 2018 | Unknown |
9. Calculus & its applications [2018]
- Book
- 1 volume (various pagings) : illustrations (some color) ; 29 cm
- 0. Functions 0.1 Functions and Their Graphs 0.2 Some Important Functions 0.3 The Algebra of Functions 0.4 Zeros of Functions - The Quadratic Formula and Factoring 0.5 Exponents and Power Functions 0.6 Functions and Graphs in Applications 1. The Derivative 1.1 The Slope of a Straight Line 1.2 The Slope of a Curve at a Point 1.3 The Derivative and Limits 1.4 Limits and the Derivative 1.5 Differentiability and Continuity 1.6 Some Rules for Differentiation 1.7 More About Derivatives 1.8 The Derivative as a Rate of Change 2. Applications of the Derivative 2.1 Describing Graphs of Functions 2.2 The First and Second Derivative Rules 2.3 The First and Section Derivative Tests and Curve Sketching 2.4 Curve Sketching (Conclusion) 2.5 Optimization Problems 2.6 Further Optimization Problems 2.7 Applications of Derivatives to Business and Economics 3. Techniques of Differentiation 3.1 The Product and Quotient Rules 3.2 The Chain Rule 3.3 Implicit Differentiation and Related Rates 4. The Exponential and Natural Logarithm Functions 4.1 Exponential Functions 4.2 The Exponential Function ex 4.3 Differentiation of Exponential Functions 4.4 The Natural Logarithm Function 4.5 The Derivative of ln x 4.6 Properties of the Natural Logarithm Function 5. Applications of the Exponential and Natural Logarithm Functions 5.1 Exponential Growth and Decay 5.2 Compound Interest 5.3. Applications of the Natural Logarithm Function to Economics 5.4. Further Exponential Models 6. The Definite Integral 6.1 Antidifferentiation 6.2 The Definite Integral and Net Change of a Function 6.3 The Definite Integral and Area Under a Graph 6.4 Areas in the xy-Plane 6.5 Applications of the Definite Integral 7. Functions of Several Variables 7.1 Examples of Functions of Several Variables 7.2 Partial Derivatives 7.3 Maxima and Minima of Functions of Several Variables 7.4 Lagrange Multipliers and Constrained Optimization 7.5 The Method of Least Squares 7.6 Double Integrals 8. The Trigonometric Functions 8.1 Radian Measure of Angles 8.2 The Sine and the Cosine 8.3 Differentiation and Integration of sin t and cos t 8.4 The Tangent and Other Trigonometric Functions 9. Techniques of Integration 9.1 Integration by Substitution 9.2 Integration by Parts 9.3 Evaluation of Definite Integrals 9.4 Approximation of Definite Integrals 9.5 Some Applications of the Integral 9.6 Improper Integrals 10. Differential Equations 10.1 Solutions of Differential Equations 10.2 Separation of Variables 10.3 First-Order Linear Differential Equations 10.4 Applications of First-Order Linear Differential Equations 10.5 Graphing Solutions of Differential Equations 10.6 Applications of Differential Equations 10.7 Numerical Solution of Differential Equations 11. Taylor Polynomials and Infinite Series 11.1 Taylor Polynomials 11.2 The Newton-Raphson Algorithm 11.3 Infinite Series 11.4 Series with Positive Terms 11.5 Taylor Series 12. Probability and Calculus 12.1 Discrete Random Variables 12.2 Continuous Random Variables 12.3 Expected Value and Variance 12.4 Exponential and Normal Random Variables 12.5 Poisson and Geometric Random Variables.
- (source: Nielsen Book Data)9780134437774 20170717
(source: Nielsen Book Data)9780134437774 20170717
- 0. Functions 0.1 Functions and Their Graphs 0.2 Some Important Functions 0.3 The Algebra of Functions 0.4 Zeros of Functions - The Quadratic Formula and Factoring 0.5 Exponents and Power Functions 0.6 Functions and Graphs in Applications 1. The Derivative 1.1 The Slope of a Straight Line 1.2 The Slope of a Curve at a Point 1.3 The Derivative and Limits 1.4 Limits and the Derivative 1.5 Differentiability and Continuity 1.6 Some Rules for Differentiation 1.7 More About Derivatives 1.8 The Derivative as a Rate of Change 2. Applications of the Derivative 2.1 Describing Graphs of Functions 2.2 The First and Second Derivative Rules 2.3 The First and Section Derivative Tests and Curve Sketching 2.4 Curve Sketching (Conclusion) 2.5 Optimization Problems 2.6 Further Optimization Problems 2.7 Applications of Derivatives to Business and Economics 3. Techniques of Differentiation 3.1 The Product and Quotient Rules 3.2 The Chain Rule 3.3 Implicit Differentiation and Related Rates 4. The Exponential and Natural Logarithm Functions 4.1 Exponential Functions 4.2 The Exponential Function ex 4.3 Differentiation of Exponential Functions 4.4 The Natural Logarithm Function 4.5 The Derivative of ln x 4.6 Properties of the Natural Logarithm Function 5. Applications of the Exponential and Natural Logarithm Functions 5.1 Exponential Growth and Decay 5.2 Compound Interest 5.3. Applications of the Natural Logarithm Function to Economics 5.4. Further Exponential Models 6. The Definite Integral 6.1 Antidifferentiation 6.2 The Definite Integral and Net Change of a Function 6.3 The Definite Integral and Area Under a Graph 6.4 Areas in the xy-Plane 6.5 Applications of the Definite Integral 7. Functions of Several Variables 7.1 Examples of Functions of Several Variables 7.2 Partial Derivatives 7.3 Maxima and Minima of Functions of Several Variables 7.4 Lagrange Multipliers and Constrained Optimization 7.5 The Method of Least Squares 7.6 Double Integrals 8. The Trigonometric Functions 8.1 Radian Measure of Angles 8.2 The Sine and the Cosine 8.3 Differentiation and Integration of sin t and cos t 8.4 The Tangent and Other Trigonometric Functions 9. Techniques of Integration 9.1 Integration by Substitution 9.2 Integration by Parts 9.3 Evaluation of Definite Integrals 9.4 Approximation of Definite Integrals 9.5 Some Applications of the Integral 9.6 Improper Integrals 10. Differential Equations 10.1 Solutions of Differential Equations 10.2 Separation of Variables 10.3 First-Order Linear Differential Equations 10.4 Applications of First-Order Linear Differential Equations 10.5 Graphing Solutions of Differential Equations 10.6 Applications of Differential Equations 10.7 Numerical Solution of Differential Equations 11. Taylor Polynomials and Infinite Series 11.1 Taylor Polynomials 11.2 The Newton-Raphson Algorithm 11.3 Infinite Series 11.4 Series with Positive Terms 11.5 Taylor Series 12. Probability and Calculus 12.1 Discrete Random Variables 12.2 Continuous Random Variables 12.3 Expected Value and Variance 12.4 Exponential and Normal Random Variables 12.5 Poisson and Geometric Random Variables.
- (source: Nielsen Book Data)9780134437774 20170717
(source: Nielsen Book Data)9780134437774 20170717
Science Library (Li and Ma)
Science Library (Li and Ma) | Status |
---|---|
Stacks | |
QA303.2 .G66 2018 | Unavailable In process Request |
10. Calculus : with CalcChat and CalcView [2018]
- Book
- 1 volume (various pagings) : color illustrations ; 29 cm
- P. PREPARATION FOR CALCULUS. Graphs and Models. Linear Models and Rates of Change. Functions and Their Graphs. Review of Trigonometric Functions. Review Exercises. P.S. Problem Solving. 1. LIMITS AND THEIR PROPERTIES. A Preview of Calculus. Finding Limits Graphically and Numerically. Evaluating Limits Analytically. Continuity and One-Sided Limits. Infinite Limits. Section Project: Graphs and Limits of Trigonometric Functions. Review Exercises. P.S. Problem Solving. 2. DIFFERENTIATION. The Derivative and the Tangent Line Problem. Basic Differentiation Rules and Rates of Change. Product and Quotient Rules and Higher-Order Derivatives. The Chain Rule. Implicit Differentiation. Section Project: Optical Illusions. Related Rates. Review Exercises. P.S. Problem Solving. 3. APPLICATIONS OF DIFFERENTIATION. Extrema on an Interval. Rolle"s Theorem and the Mean Value Theorem. Increasing and Decreasing Functions and the First Derivative Test. Section Project: Even Fourth-Degree Polynomials. Concavity and the Second Derivative Test. Limits at Infinity. A Summary of Curve Sketching. Optimization Problems. Section Project: Minimum Time. Newton"s Method. Differentials. Review Exercises. P.S. Problem Solving. 4. INTEGRATION. Antiderivatives and Indefinite Integration. Area. Riemann Sums and Definite Integrals. The Fundamental Theorem of Calculus. Section Project: Demonstrating the Fundamental Theorem. Integration by Substitution. Review Exercises. P.S. Problem Solving. 5. LOGARITHMIC, EXPONENTIAL, AND OTHER TRANSCENDENTAL FUNCTIONS. The Natural Logarithmic Function: Differentiation. The Natural Logarithmic Function: Integration. Inverse Functions. Exponential Functions: Differentiation and Integration. Bases Other than e and Applications. Section Project: Using Graphing Utilities to Estimate Slope. Indeterminate Forms and L'Hopital's Rule. Inverse Trigonometric Functions: Differentiation. Inverse Trigonometric Functions: Integration. Hyperbolic Functions. Section Project: Mercator Map. Review Exercises. P.S. Problem Solving. 6. DIFFERENTIAL EQUATIONS. Slope Fields and Euler"s Method. Growth and Decay. Separation of Variables and the Logistic Equation. First-Order Linear Differential Equations. Section Project: Weight Loss. Review Exercises. P.S. Problem Solving. 7. APPLICATIONS OF INTEGRATION. Area of a Region Between Two Curves. Volume: The Disk Method. Volume: The Shell Method. Section Project: Saturn. Arc Length and Surfaces of Revolution. Work. Section Project: Pyramid of Khufu. Moments, Centers of Mass, and Centroids. Fluid Pressure and Fluid Force. Review Exercises. P.S. Problem Solving. 8. INTEGRATION TECHNIQUES AND IMPROPER INTEGRALS. Basic Integration Rules. Integration by Parts. Trigonometric Integrals. Section Project: The Wallis Product. Trigonometric Substitution. Partial Fractions. Numerical Integration. Integration by Tables and Other Integration Techniques. Improper Integrals. Review Exercises. P.S. Problem Solving. 9. INFINITE SERIES. Sequences. Series and Convergence. Section Project: Cantor"s Disappearing Table. The Integral Test and p-Series. Section Project: The Harmonic Series. Comparisons of Series. Alternating Series. The Ratio and Root Tests. Taylor Polynomials and Approximations. Power Series. Representation of Functions by Power Series. Taylor and Maclaurin Series. Review Exercises. P.S. Problem Solving. 10. CONICS, PARAMETRIC EQUATIONS, AND POLAR COORDINATES. Conics and Calculus. Plane Curves and Parametric Equations. Section Project: Cycloids. Parametric Equations and Calculus. Polar Coordinates and Polar Graphs. Section Project: Cassini Oval. Area and Arc Length in Polar Coordinates. Polar Equations of Conics and Kepler"s Laws. Review Exercises. P.S. Problem Solving. 11. VECTORS AND THE GEOMETRY OF SPACE. Vectors in the Plane. Space Coordinates and Vectors in Space. The Dot Product of Two Vectors. The Cross Product of Two Vectors in Space. Lines and Planes in Space. Section Project: Distances in Space. Surfaces in Space. Cylindrical and Spherical Coordinates. Review Exercises. P.S. Problem Solving. 12. VECTOR-VALUED FUNCTIONS. Vector-Valued Functions. Section Project: Witch of Agnesi. Differentiation and Integration of Vector-Valued Functions. Velocity and Acceleration. Tangent Vectors and Normal Vectors. Arc Length and Curvature. Review Exercises. P.S. Problem Solving. 13. FUNCTIONS OF SEVERAL VARIABLES. Introduction to Functions of Several Variables. Limits and Continuity. Partial Derivatives. Differentials. Chain Rules for Functions of Several Variables. Directional Derivatives and Gradients. Tangent Planes and Normal Lines. Section Project: Wildflowers. Extrema of Functions of Two Variables. Applications of Extrema of Functions of Two Variables. Section Project: Building a Pipeline. Lagrange Multipliers. Review Exercises. P.S. Problem Solving. 14. MULTIPLE INTEGRATION. Iterated Integrals and Area in the Plane. Double Integrals and Volume. Change of Variables: Polar Coordinates. Center of Mass and Moments of Inertia. Section Project: Center of Pressure on a Sail. Surface Area. Section Project: Surface Area in Polar Coordinates. Triple Integrals and Applications. Triple Integrals in Cylindrical and Spherical Coordinates. Section Project: Wrinkled and Bumpy Spheres. Change of Variables: Jacobians. Review Exercises. P.S. Problem Solving. 15. VECTOR ANALYSIS. Vector Fields. Line Integrals. Conservative Vector Fields and Independence of Path. Green"s Theorem. Section Project: Hyperbolic and Trigonometric Functions. Parametric Surfaces. Surface Integrals. Section Project: Hyperboloid of One Sheet. Divergence Theorem. Stokes" Theorem. Review Exercises. Section Project: The Planimeter. P.S. Problem Solving. 16. SECOND ORDER DIFFERENTIAL EQUATIONS* ONLINE. Exact First-Order Equations. Second-Order Homogeneous Linear Equations. Second-Order Nonhomogeneous Linear Equations. Section Project: Parachute Jump. Series Solutions of Differential Equations. Review Exercises. P.S. Problem Solving. APPENDIX. A. Proofs of Selected Theorems. B. Integration Tables. C. Precalculus Review (Web). C.1. Real Numbers and the Real Number Line. C.2. The Cartesian Plane. D. Rotation and the General Second-Degree Equation (Web). E. Complex Numbers (Web). F. Business and Economic Applications (Web). G. Fitting Models to Data (Web).
- (source: Nielsen Book Data)9781337275347 20170403
(source: Nielsen Book Data)9781337275347 20170403
- P. PREPARATION FOR CALCULUS. Graphs and Models. Linear Models and Rates of Change. Functions and Their Graphs. Review of Trigonometric Functions. Review Exercises. P.S. Problem Solving. 1. LIMITS AND THEIR PROPERTIES. A Preview of Calculus. Finding Limits Graphically and Numerically. Evaluating Limits Analytically. Continuity and One-Sided Limits. Infinite Limits. Section Project: Graphs and Limits of Trigonometric Functions. Review Exercises. P.S. Problem Solving. 2. DIFFERENTIATION. The Derivative and the Tangent Line Problem. Basic Differentiation Rules and Rates of Change. Product and Quotient Rules and Higher-Order Derivatives. The Chain Rule. Implicit Differentiation. Section Project: Optical Illusions. Related Rates. Review Exercises. P.S. Problem Solving. 3. APPLICATIONS OF DIFFERENTIATION. Extrema on an Interval. Rolle"s Theorem and the Mean Value Theorem. Increasing and Decreasing Functions and the First Derivative Test. Section Project: Even Fourth-Degree Polynomials. Concavity and the Second Derivative Test. Limits at Infinity. A Summary of Curve Sketching. Optimization Problems. Section Project: Minimum Time. Newton"s Method. Differentials. Review Exercises. P.S. Problem Solving. 4. INTEGRATION. Antiderivatives and Indefinite Integration. Area. Riemann Sums and Definite Integrals. The Fundamental Theorem of Calculus. Section Project: Demonstrating the Fundamental Theorem. Integration by Substitution. Review Exercises. P.S. Problem Solving. 5. LOGARITHMIC, EXPONENTIAL, AND OTHER TRANSCENDENTAL FUNCTIONS. The Natural Logarithmic Function: Differentiation. The Natural Logarithmic Function: Integration. Inverse Functions. Exponential Functions: Differentiation and Integration. Bases Other than e and Applications. Section Project: Using Graphing Utilities to Estimate Slope. Indeterminate Forms and L'Hopital's Rule. Inverse Trigonometric Functions: Differentiation. Inverse Trigonometric Functions: Integration. Hyperbolic Functions. Section Project: Mercator Map. Review Exercises. P.S. Problem Solving. 6. DIFFERENTIAL EQUATIONS. Slope Fields and Euler"s Method. Growth and Decay. Separation of Variables and the Logistic Equation. First-Order Linear Differential Equations. Section Project: Weight Loss. Review Exercises. P.S. Problem Solving. 7. APPLICATIONS OF INTEGRATION. Area of a Region Between Two Curves. Volume: The Disk Method. Volume: The Shell Method. Section Project: Saturn. Arc Length and Surfaces of Revolution. Work. Section Project: Pyramid of Khufu. Moments, Centers of Mass, and Centroids. Fluid Pressure and Fluid Force. Review Exercises. P.S. Problem Solving. 8. INTEGRATION TECHNIQUES AND IMPROPER INTEGRALS. Basic Integration Rules. Integration by Parts. Trigonometric Integrals. Section Project: The Wallis Product. Trigonometric Substitution. Partial Fractions. Numerical Integration. Integration by Tables and Other Integration Techniques. Improper Integrals. Review Exercises. P.S. Problem Solving. 9. INFINITE SERIES. Sequences. Series and Convergence. Section Project: Cantor"s Disappearing Table. The Integral Test and p-Series. Section Project: The Harmonic Series. Comparisons of Series. Alternating Series. The Ratio and Root Tests. Taylor Polynomials and Approximations. Power Series. Representation of Functions by Power Series. Taylor and Maclaurin Series. Review Exercises. P.S. Problem Solving. 10. CONICS, PARAMETRIC EQUATIONS, AND POLAR COORDINATES. Conics and Calculus. Plane Curves and Parametric Equations. Section Project: Cycloids. Parametric Equations and Calculus. Polar Coordinates and Polar Graphs. Section Project: Cassini Oval. Area and Arc Length in Polar Coordinates. Polar Equations of Conics and Kepler"s Laws. Review Exercises. P.S. Problem Solving. 11. VECTORS AND THE GEOMETRY OF SPACE. Vectors in the Plane. Space Coordinates and Vectors in Space. The Dot Product of Two Vectors. The Cross Product of Two Vectors in Space. Lines and Planes in Space. Section Project: Distances in Space. Surfaces in Space. Cylindrical and Spherical Coordinates. Review Exercises. P.S. Problem Solving. 12. VECTOR-VALUED FUNCTIONS. Vector-Valued Functions. Section Project: Witch of Agnesi. Differentiation and Integration of Vector-Valued Functions. Velocity and Acceleration. Tangent Vectors and Normal Vectors. Arc Length and Curvature. Review Exercises. P.S. Problem Solving. 13. FUNCTIONS OF SEVERAL VARIABLES. Introduction to Functions of Several Variables. Limits and Continuity. Partial Derivatives. Differentials. Chain Rules for Functions of Several Variables. Directional Derivatives and Gradients. Tangent Planes and Normal Lines. Section Project: Wildflowers. Extrema of Functions of Two Variables. Applications of Extrema of Functions of Two Variables. Section Project: Building a Pipeline. Lagrange Multipliers. Review Exercises. P.S. Problem Solving. 14. MULTIPLE INTEGRATION. Iterated Integrals and Area in the Plane. Double Integrals and Volume. Change of Variables: Polar Coordinates. Center of Mass and Moments of Inertia. Section Project: Center of Pressure on a Sail. Surface Area. Section Project: Surface Area in Polar Coordinates. Triple Integrals and Applications. Triple Integrals in Cylindrical and Spherical Coordinates. Section Project: Wrinkled and Bumpy Spheres. Change of Variables: Jacobians. Review Exercises. P.S. Problem Solving. 15. VECTOR ANALYSIS. Vector Fields. Line Integrals. Conservative Vector Fields and Independence of Path. Green"s Theorem. Section Project: Hyperbolic and Trigonometric Functions. Parametric Surfaces. Surface Integrals. Section Project: Hyperboloid of One Sheet. Divergence Theorem. Stokes" Theorem. Review Exercises. Section Project: The Planimeter. P.S. Problem Solving. 16. SECOND ORDER DIFFERENTIAL EQUATIONS* ONLINE. Exact First-Order Equations. Second-Order Homogeneous Linear Equations. Second-Order Nonhomogeneous Linear Equations. Section Project: Parachute Jump. Series Solutions of Differential Equations. Review Exercises. P.S. Problem Solving. APPENDIX. A. Proofs of Selected Theorems. B. Integration Tables. C. Precalculus Review (Web). C.1. Real Numbers and the Real Number Line. C.2. The Cartesian Plane. D. Rotation and the General Second-Degree Equation (Web). E. Complex Numbers (Web). F. Business and Economic Applications (Web). G. Fitting Models to Data (Web).
- (source: Nielsen Book Data)9781337275347 20170403
(source: Nielsen Book Data)9781337275347 20170403
Science Library (Li and Ma)
Science Library (Li and Ma) | Status |
---|---|
Stacks | |
QA303.2 .L367 2018 | Unknown |
11. Chemistry : the central science [2018]
- Book
- 1 volume (various pagings) ; 29 cm
- 1. Introduction: Matter, Energy, and Measurement 2. Atoms, Molecules, and Ions 3. Chemical Reactions and Reaction Stoichiometry 4. Reactions in Aqueous Solution 5. Thermochemistry 6. Electronic Structure of Atoms 7. Periodic Properties of the Elements 8. Basic Concepts of Chemical Bonding 9. Molecular Geometry and Bonding Theories 10. Gases 11. Liquids and Intermolecular Forces 12. Solids and Modern Materials 13. Properties of Solutions 14. Chemical Kinetics 15. Chemical Equilibrium 16. Acid-Base Equilibria 17. Additional Aspects of Aqueous Equilibria 18. Chemistry of the Environment 19. Chemical Thermodynamics 20. Electrochemistry 21. Nuclear Chemistry 22. Chemistry of the Nonmetals 23. Transition Metals and Coordination Chemistry 24. The Chemistry of Life: Organic and Biological Chemistry Appendices Mathematical Operations Properties of Water Thermodynamic Quantities for Selected Substances at 298.15 K (25omicron C) Aqueous Equilibrium Constants Standard Reduction Potentials at 25omicron C Answers to Selected Exercises Answers to Give It Some Thought Answers to Go Figure Answer to Selected Practice Exercises Glossary Photo and Art Credits.
- (source: Nielsen Book Data)9780134414232 20170515
(source: Nielsen Book Data)9780134414232 20170515
- 1. Introduction: Matter, Energy, and Measurement 2. Atoms, Molecules, and Ions 3. Chemical Reactions and Reaction Stoichiometry 4. Reactions in Aqueous Solution 5. Thermochemistry 6. Electronic Structure of Atoms 7. Periodic Properties of the Elements 8. Basic Concepts of Chemical Bonding 9. Molecular Geometry and Bonding Theories 10. Gases 11. Liquids and Intermolecular Forces 12. Solids and Modern Materials 13. Properties of Solutions 14. Chemical Kinetics 15. Chemical Equilibrium 16. Acid-Base Equilibria 17. Additional Aspects of Aqueous Equilibria 18. Chemistry of the Environment 19. Chemical Thermodynamics 20. Electrochemistry 21. Nuclear Chemistry 22. Chemistry of the Nonmetals 23. Transition Metals and Coordination Chemistry 24. The Chemistry of Life: Organic and Biological Chemistry Appendices Mathematical Operations Properties of Water Thermodynamic Quantities for Selected Substances at 298.15 K (25omicron C) Aqueous Equilibrium Constants Standard Reduction Potentials at 25omicron C Answers to Selected Exercises Answers to Give It Some Thought Answers to Go Figure Answer to Selected Practice Exercises Glossary Photo and Art Credits.
- (source: Nielsen Book Data)9780134414232 20170515
(source: Nielsen Book Data)9780134414232 20170515
Science Library (Li and Ma)
Science Library (Li and Ma) | Status |
---|---|
Stacks | |
QD31.3 .B76 2018 | Unknown |
12. College algebra [2018]
- Book
- 1 volume (various pagings) : illustrations (some color) ; 29 cm
Science Library (Li and Ma)
Science Library (Li and Ma) | Status |
---|---|
Stacks | |
QA152.3 .B642 2018 | Unavailable Ask at circulation desk |
- Book
- 1 volume (various pagings) : illustrations (some color) ; 29 cm
- P. Prerequisites: Fundamental Concepts of Algebra P.1 Algebraic Expressions, Mathematical Models, and Real Numbers P.2 Basic Rules of Algebra P.3 Exponents and Scientific Notation P.4 Radicals and Rational Exponents P.5 Polynomials P.6 Factoring Polynomials P.7 Rational Expressions 1. Functions and Graphs 1.1 Graphs and Graphing Utilities 1.2 Basics of Functions and Their Graphs 1.3 More on Functions and Their Graphs 1.4 Linear Functions and Slope 1.5 More on Slope 1.6 Transformations of Functions 1.7 Combinations of Functions-- Composite Functions 1.8 Inverse Functions 1.9 Distance and Midpoint Formulas-- Circles 2. Equations and Inequalities 2.1 Linear Equations and Rational Equations 2.2 Models and Applications 2.3 Complex Numbers 2.4 Quadratic Equations 2.5 Other Types of Equations 2.6 Linear Inequalities and Absolute Value Inequalities 3. Polynomial and Rational Functions 3.1 Quadratic Functions 3.2 Polynomial Functions and Their Graphs 3.3 Dividing Polynomials-- Remainder and Factor Theorems 3.4 Zeros of Polynomial Functions 3.5 Rational Functions and Their Graphs 3.6 Polynomial and Rational Inequalities 3.7 Modeling Using Variation 4. Exponential and Logarithmic Functions 4.1 Exponential Functions 4.2 Logarithmic Functions 4.3 Properties of Logarithms 4.4 Exponential and Logarithmic Equations 4.5 Exponential Growth and Decay-- Modeling Data 5. Systems of Equations and Inequalities 5.1 Systems of Linear Equations in Two Variables 5.2 Systems of Linear Equations in Three Variables 5.3 Partial Fractions 5.4 Systems of Nonlinear Equations in Two Variables 5.5 Systems of Inequalities 5.6 Linear Programming 6. Matrices and Determinants 6.1 Matrix Solutions to Linear Systems 6.2 Inconsistent and Dependent Systems and Their Applications 6.3 Matrix Operations and Their Applications 6.4 Multiplicative Inverses of Matrices and Matrix Equations 6.5 Determinants and Cramer's Rule 7. Conic Sections 7.1 The Ellipse 7.2 The Hyperbola 7.3 The Parabola 8. Sequences, Induction, and Probability 8.1 Sequences and Summation Notation 8.2 Arithmetic Sequences 8.3 Geometric Sequences and Series 8.4 Mathematical Induction 8.5 The Binomial Theorem 8.6 Counting Principles, Permutations, and Combinations 8.7 Probability.
- (source: Nielsen Book Data)9780134470023 20170717
(source: Nielsen Book Data)9780134470023 20170717
- P. Prerequisites: Fundamental Concepts of Algebra P.1 Algebraic Expressions, Mathematical Models, and Real Numbers P.2 Basic Rules of Algebra P.3 Exponents and Scientific Notation P.4 Radicals and Rational Exponents P.5 Polynomials P.6 Factoring Polynomials P.7 Rational Expressions 1. Functions and Graphs 1.1 Graphs and Graphing Utilities 1.2 Basics of Functions and Their Graphs 1.3 More on Functions and Their Graphs 1.4 Linear Functions and Slope 1.5 More on Slope 1.6 Transformations of Functions 1.7 Combinations of Functions-- Composite Functions 1.8 Inverse Functions 1.9 Distance and Midpoint Formulas-- Circles 2. Equations and Inequalities 2.1 Linear Equations and Rational Equations 2.2 Models and Applications 2.3 Complex Numbers 2.4 Quadratic Equations 2.5 Other Types of Equations 2.6 Linear Inequalities and Absolute Value Inequalities 3. Polynomial and Rational Functions 3.1 Quadratic Functions 3.2 Polynomial Functions and Their Graphs 3.3 Dividing Polynomials-- Remainder and Factor Theorems 3.4 Zeros of Polynomial Functions 3.5 Rational Functions and Their Graphs 3.6 Polynomial and Rational Inequalities 3.7 Modeling Using Variation 4. Exponential and Logarithmic Functions 4.1 Exponential Functions 4.2 Logarithmic Functions 4.3 Properties of Logarithms 4.4 Exponential and Logarithmic Equations 4.5 Exponential Growth and Decay-- Modeling Data 5. Systems of Equations and Inequalities 5.1 Systems of Linear Equations in Two Variables 5.2 Systems of Linear Equations in Three Variables 5.3 Partial Fractions 5.4 Systems of Nonlinear Equations in Two Variables 5.5 Systems of Inequalities 5.6 Linear Programming 6. Matrices and Determinants 6.1 Matrix Solutions to Linear Systems 6.2 Inconsistent and Dependent Systems and Their Applications 6.3 Matrix Operations and Their Applications 6.4 Multiplicative Inverses of Matrices and Matrix Equations 6.5 Determinants and Cramer's Rule 7. Conic Sections 7.1 The Ellipse 7.2 The Hyperbola 7.3 The Parabola 8. Sequences, Induction, and Probability 8.1 Sequences and Summation Notation 8.2 Arithmetic Sequences 8.3 Geometric Sequences and Series 8.4 Mathematical Induction 8.5 The Binomial Theorem 8.6 Counting Principles, Permutations, and Combinations 8.7 Probability.
- (source: Nielsen Book Data)9780134470023 20170717
(source: Nielsen Book Data)9780134470023 20170717
Science Library (Li and Ma)
Science Library (Li and Ma) | Status |
---|---|
Stacks | |
QA331.3 .B55 2018 | Unavailable In process Request |
14. College algebra essentials [2018]
- Book
- 1 volume (various pagings) : color illustrations ; 29 cm
- P. Prerequisites: Fundamental Concepts of Algebra P.1 Algebraic Expressions, Mathematical Models, and Real Numbers P.2 Exponents and Scientific Notation P.3 Radicals and Rational Exponents P.4 Polynomials P.5 Factoring Polynomials P.6 Rational Expressions 1. Equations and Inequalities 1.1 Graphs and Graphing Utilities 1.2 Linear Equations and Rational Equations 1.3 Models and Applications 1.4 Complex Numbers 1.5 Quadratic Equations 1.6 Other Types of Equations 1.7 Linear Inequalities and Absolute Value Inequalities 2. Functions and Graphs 2.1 Basics of Functions and Their Graphs 2.2 More on Functions and Their Graphs 2.3 Linear Functions and Slope 2.4 More on Slope 2.5 Transformations of Functions 2.6 Combinations of Functions-- Composite Functions 2.7 Inverse Functions 2.8 Distance and Midpoint Formulas-- Circles 3. Polynomial and Rational Functions 3.1 Quadratic Functions 3.2 Polynomial Functions and Their Graphs 3.3 Dividing Polynomials-- Remainder and Factor Theorems 3.4 Zeros of Polynomial Functions 3.5 Rational Functions and Their Graphs 3.6 Polynomial and Rational Inequalities 3.7 Modeling Using Variation 4. Exponential and Logarithmic Functions 4.1 Exponential Functions 4.2 Logarithmic Functions 4.3 Properties of Logarithms 4.4 Exponential and Logarithmic Equations 4.5 Exponential Growth and Decay-- Modeling Data 5. Systems of Equations and Inequalities 5.1 Systems of Linear Equations in Two Variables 5.2 Systems of Linear Equations in Three Variables 5.3 Partial Fractions 5.4 Systems of Nonlinear Equations in Two Variables 5.5 Systems of Inequalities 5.6 Linear Programming.
- (source: Nielsen Book Data)9780134469294 20170306
(source: Nielsen Book Data)9780134469294 20170306
- P. Prerequisites: Fundamental Concepts of Algebra P.1 Algebraic Expressions, Mathematical Models, and Real Numbers P.2 Exponents and Scientific Notation P.3 Radicals and Rational Exponents P.4 Polynomials P.5 Factoring Polynomials P.6 Rational Expressions 1. Equations and Inequalities 1.1 Graphs and Graphing Utilities 1.2 Linear Equations and Rational Equations 1.3 Models and Applications 1.4 Complex Numbers 1.5 Quadratic Equations 1.6 Other Types of Equations 1.7 Linear Inequalities and Absolute Value Inequalities 2. Functions and Graphs 2.1 Basics of Functions and Their Graphs 2.2 More on Functions and Their Graphs 2.3 Linear Functions and Slope 2.4 More on Slope 2.5 Transformations of Functions 2.6 Combinations of Functions-- Composite Functions 2.7 Inverse Functions 2.8 Distance and Midpoint Formulas-- Circles 3. Polynomial and Rational Functions 3.1 Quadratic Functions 3.2 Polynomial Functions and Their Graphs 3.3 Dividing Polynomials-- Remainder and Factor Theorems 3.4 Zeros of Polynomial Functions 3.5 Rational Functions and Their Graphs 3.6 Polynomial and Rational Inequalities 3.7 Modeling Using Variation 4. Exponential and Logarithmic Functions 4.1 Exponential Functions 4.2 Logarithmic Functions 4.3 Properties of Logarithms 4.4 Exponential and Logarithmic Equations 4.5 Exponential Growth and Decay-- Modeling Data 5. Systems of Equations and Inequalities 5.1 Systems of Linear Equations in Two Variables 5.2 Systems of Linear Equations in Three Variables 5.3 Partial Fractions 5.4 Systems of Nonlinear Equations in Two Variables 5.5 Systems of Inequalities 5.6 Linear Programming.
- (source: Nielsen Book Data)9780134469294 20170306
(source: Nielsen Book Data)9780134469294 20170306
Science Library (Li and Ma)
Science Library (Li and Ma) | Status |
---|---|
Stacks | |
QA152.3 .B645 2018 | Unknown |
15. College algebra : with CalcChat and CalcView [2018]
- Book
- xi, 642, A97 pages : illustrations (some color) ; 29 cm
- P. PREREQUISITES. Review of Real Numbers and Their Properties. Exponents and Radicals. Polynomials and Special Products. Factoring Polynomials. Rational Expressions. The Rectangular Coordinate System and Graphs. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving. 1. EQUATIONS, INEQUALITIES, AND MATHEMATICAL MODELING. Graphs of Equations. Linear Equations in One Variable. Modeling with Linear Equations. Quadratic Equations and Applications. Complex Numbers. Other Types of Equations. Linear Inequalities in One Variable. Other Types of Inequalities. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving. 2. FUNCTIONS AND THEIR GRAPHS. Linear Equations in Two Variables. Functions. Analyzing Graphs of Functions. A Library of Parent Functions. Transformations of Functions. Combinations of Functions: Composite Functions. Inverse Functions. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test for Chapters P-2. Proofs in Mathematics. P.S. Problem Solving. 3. POLYNOMIAL FUNCTIONS. Quadratic Functions and Models. Polynomial Functions of Higher Degree. Polynomial and Synthetic Division. Zeros of Polynomial Functions. Mathematical Modeling and Variation. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving. 4. RATIONAL FUNCTIONS AND CONICS. Rational Functions and Asymptotes. Graphs of Rational Functions. Conics. Translations of Conics. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving. 5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions and Their Graphs. Logarithmic Functions and Their Graphs. Properties of Logarithms. Exponential and Logarithmic Equations. Exponential and Logarithmic Models. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test for Chapters 3-5. Proofs in Mathematics. P.S. Problem Solving. 6. SYSTEMS OF EQUATIONS AND INEQUALITIES. Linear and Nonlinear Systems of Equations. Two-Variable Linear Systems. Multivariable Linear Systems. Partial Fractions. Systems of Inequalities. Linear Programming. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving. 7. MATRICES AND DETERMINANTS. Matrices and Systems of Equations. Operations with Matrices. The Inverse of a Square Matrix. The Determinant of a Square Matrix. Applications of Matrices and Determinants. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving. 8. SEQUENCES, SERIES, AND PROBABILITY. Sequences and Series. Arithmetic Sequences and Partial Sums. Geometric Sequences and Series. Mathematical Induction. The Binomial Theorem. Counting Principles. Probability. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test for Chapters 6-8. Proofs in Mathematics. P.S. Problem Solving. APPENDIX A: Errors and the Algebra of Calculus. APPENDIX B: Concepts in Statistics (Web). B.1 Representing Data. B.2 Analyzing Data. B.3 Modeling Data. Alternative Version of Chapter P (Web). P.1 Operations with Real Numbers. P.2 Properties of Real Numbers. P.3 Algebraic Expressions. P.4 Operations with Polynomials. P.5 Factoring Polynomials. P.6 Factoring Trinomials.
- (source: Nielsen Book Data)9781337282291 20170410
(source: Nielsen Book Data)9781337282291 20170410
- P. PREREQUISITES. Review of Real Numbers and Their Properties. Exponents and Radicals. Polynomials and Special Products. Factoring Polynomials. Rational Expressions. The Rectangular Coordinate System and Graphs. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving. 1. EQUATIONS, INEQUALITIES, AND MATHEMATICAL MODELING. Graphs of Equations. Linear Equations in One Variable. Modeling with Linear Equations. Quadratic Equations and Applications. Complex Numbers. Other Types of Equations. Linear Inequalities in One Variable. Other Types of Inequalities. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving. 2. FUNCTIONS AND THEIR GRAPHS. Linear Equations in Two Variables. Functions. Analyzing Graphs of Functions. A Library of Parent Functions. Transformations of Functions. Combinations of Functions: Composite Functions. Inverse Functions. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test for Chapters P-2. Proofs in Mathematics. P.S. Problem Solving. 3. POLYNOMIAL FUNCTIONS. Quadratic Functions and Models. Polynomial Functions of Higher Degree. Polynomial and Synthetic Division. Zeros of Polynomial Functions. Mathematical Modeling and Variation. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving. 4. RATIONAL FUNCTIONS AND CONICS. Rational Functions and Asymptotes. Graphs of Rational Functions. Conics. Translations of Conics. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving. 5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions and Their Graphs. Logarithmic Functions and Their Graphs. Properties of Logarithms. Exponential and Logarithmic Equations. Exponential and Logarithmic Models. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test for Chapters 3-5. Proofs in Mathematics. P.S. Problem Solving. 6. SYSTEMS OF EQUATIONS AND INEQUALITIES. Linear and Nonlinear Systems of Equations. Two-Variable Linear Systems. Multivariable Linear Systems. Partial Fractions. Systems of Inequalities. Linear Programming. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving. 7. MATRICES AND DETERMINANTS. Matrices and Systems of Equations. Operations with Matrices. The Inverse of a Square Matrix. The Determinant of a Square Matrix. Applications of Matrices and Determinants. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving. 8. SEQUENCES, SERIES, AND PROBABILITY. Sequences and Series. Arithmetic Sequences and Partial Sums. Geometric Sequences and Series. Mathematical Induction. The Binomial Theorem. Counting Principles. Probability. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test for Chapters 6-8. Proofs in Mathematics. P.S. Problem Solving. APPENDIX A: Errors and the Algebra of Calculus. APPENDIX B: Concepts in Statistics (Web). B.1 Representing Data. B.2 Analyzing Data. B.3 Modeling Data. Alternative Version of Chapter P (Web). P.1 Operations with Real Numbers. P.2 Properties of Real Numbers. P.3 Algebraic Expressions. P.4 Operations with Polynomials. P.5 Factoring Polynomials. P.6 Factoring Trinomials.
- (source: Nielsen Book Data)9781337282291 20170410
(source: Nielsen Book Data)9781337282291 20170410
Science Library (Li and Ma)
Science Library (Li and Ma) | Status |
---|---|
Stacks | |
QA154.3 .L3465 2018 | Unknown |
- Book
- 1 volume (various pagings) ; 29 cm
- 1. Introduction to Functions and Graphs 1.1 Numbers, Data, and Problem Solving 1.2 Visualizing and Graphing Data Checking Basic Concepts for Sections 1.1 and 1.2 1.3 Functions and Their Representations 1.4 Types of Functions and Their Rates of Change Checking Basic Concepts for Sections 1.3 and 1.4 Chapter 1 Summary Chapter 1 Review Exercises Chapter 1 Extended and Discovery Exercises 2. Linear Functions and Equations 2.1 Equations of Lines 2.2 Linear Equations Checking Basic Concepts for Sections 2.1 and 2.2 2.3 Linear Inequalities 2.4 More Modeling with Functions Checking Basic Concepts for Sections 2.3 and 2.4 2.5 Absolute Value Equations and Inequalities Checking Basic Concepts for Section 2.5 Chapter 2 Summary Chapter 2 Review Exercises Chapter 2 Extended and Discovery Exercises Chapters 1-2 Cumulative Review Exercises 3. Quadratic Functions and Equations 3.1 Quadratic Functions and Models 3.2 Quadratic Equations and Problem Solving Checking Basic Concepts for Sections 3.1 and 3.2 3.3 Complex Numbers 3.4 Quadratic Inequalities Checking Basic Concepts for Sections 3.3 and 3.4 3.5 Transformations of Graphs Checking Basic Concepts for Section 3.5 Chapter 3 Summary Chapter 3 Review Exercises Chapter 3 Extended and Discovery Exercises 4. More Nonlinear Functions and Equations 4.1 More Nonlinear Functions and Their Graphs 4.2 Polynomial Functions and Models Checking Basic Concepts for Sections 4.1 and 4.2 4.3 Division of Polynomials 4.4 Real Zeros of Polynomial Functions Checking Basic Concepts for Sections 4.3 and 4.4 4.5 The Fundamental Theorem of Algebra 4.6 Rational Functions and Models Checking Basic Concepts for Sections 4.5 and 4.6 4.7 More Equations and Inequalities 4.8 Radical Equations and Power Functions Checking Basic Concepts for Sections 4.7 and 4.8 Chapter 4 Summary Chapter 4 Review Exercises Chapter 4 Extended and Discovery Exercises Chapters 1-4 Cumulative Review Exercises 5. Exponential and Logarithmic Functions 5.1 Combining Functions 5.2 Inverse Functions and Their Representations Checking Basic Concepts for Sections 5.1 and 5.2 5.3 Exponential Functions and Models 5.4 Logarithmic Functions and Models Checking Basic Concepts for Sections 5.3 and 5.4 5.5 Properties of Logarithms 5.6 Exponential and Logarithmic Equations Checking Basic Concepts for Sections 5.5 and 5.6 5.7 Constructing Nonlinear Models Checking Basic Concepts for Section 5.7 Chapter 5 Summary Chapter 5 Review Exercises Chapter 5 Extended and Discovery Exercises 6. Systems of Equations and Inequalities 6.1 Functions and Systems of Equations in Two Variables 6.2 Systems of Inequalities in Two Variables Checking Basic Concepts for Sections 6.1 and 6.2 6.3 Systems of Linear Equations in Three Variables 6.4 Solutions to Linear Systems Using Matrices Checking Basic Concepts for Sections 6.3 and 6.4 6.5 Properties and Applications of Matrices 6.6 Inverses of Matrices Checking Basic Concepts for Sections 6.5 and 6.6 6.7 Determinants Checking Basic Concepts for Section 6.7 Chapter 6 Summary Chapter 6 Review Exercises Chapter 6 Extended and Discovery Exercises Chapters 1-6 Cumulative Review Exercises 7. Conic Sections 7.1 Parabolas 7.2 Ellipses Checking Basic Concepts for Sections 7.1 and 7.2 7.3 Hyperbolas Checking Basic Concepts for Section 7.3 Chapter 7 Summary Chapter 7 Review Exercises Chapter 7 Extended and Discovery Exercises 8. Further Topics in Algebra 8.1 Sequences 8.2 Series Checking Basic Concepts for Sections 8.1 and 8.2 8.3 Counting 8.4 The Binomial Theorem Checking Basic Concepts for Sections 8.3 and 8.4 8.5 Mathematical Induction 8.6 Probability Checking Basic Concepts for Sections 8.5 and 8.6 Chapter 8 Summary Chapter 8 Review Exercises Chapter 8 Extended and Discovery Exercises Chapters 1-8 Cumulative Review Exercises R. Reference: Basic Concepts from Algebra and Geometry R.1 Formulas from Geometry R.2 Integer Exponents R.3 Polynomial Expressions R.4 Factoring Polynomials R.5 Rational Expressions R.6 Radical Notation and Rational Exponents R.7 Radical Expressions Appendix A: Collaborative Activities Appendix B: A Library of Functions Appendix C: Partial Fractions Appendix D: Percent Change and Exponential Functions Bibliography Answers to Selected Exercises Photo Credits Index of Applications Index.
- (source: Nielsen Book Data)9780134418049 20170522
(source: Nielsen Book Data)9780134418049 20170522
- 1. Introduction to Functions and Graphs 1.1 Numbers, Data, and Problem Solving 1.2 Visualizing and Graphing Data Checking Basic Concepts for Sections 1.1 and 1.2 1.3 Functions and Their Representations 1.4 Types of Functions and Their Rates of Change Checking Basic Concepts for Sections 1.3 and 1.4 Chapter 1 Summary Chapter 1 Review Exercises Chapter 1 Extended and Discovery Exercises 2. Linear Functions and Equations 2.1 Equations of Lines 2.2 Linear Equations Checking Basic Concepts for Sections 2.1 and 2.2 2.3 Linear Inequalities 2.4 More Modeling with Functions Checking Basic Concepts for Sections 2.3 and 2.4 2.5 Absolute Value Equations and Inequalities Checking Basic Concepts for Section 2.5 Chapter 2 Summary Chapter 2 Review Exercises Chapter 2 Extended and Discovery Exercises Chapters 1-2 Cumulative Review Exercises 3. Quadratic Functions and Equations 3.1 Quadratic Functions and Models 3.2 Quadratic Equations and Problem Solving Checking Basic Concepts for Sections 3.1 and 3.2 3.3 Complex Numbers 3.4 Quadratic Inequalities Checking Basic Concepts for Sections 3.3 and 3.4 3.5 Transformations of Graphs Checking Basic Concepts for Section 3.5 Chapter 3 Summary Chapter 3 Review Exercises Chapter 3 Extended and Discovery Exercises 4. More Nonlinear Functions and Equations 4.1 More Nonlinear Functions and Their Graphs 4.2 Polynomial Functions and Models Checking Basic Concepts for Sections 4.1 and 4.2 4.3 Division of Polynomials 4.4 Real Zeros of Polynomial Functions Checking Basic Concepts for Sections 4.3 and 4.4 4.5 The Fundamental Theorem of Algebra 4.6 Rational Functions and Models Checking Basic Concepts for Sections 4.5 and 4.6 4.7 More Equations and Inequalities 4.8 Radical Equations and Power Functions Checking Basic Concepts for Sections 4.7 and 4.8 Chapter 4 Summary Chapter 4 Review Exercises Chapter 4 Extended and Discovery Exercises Chapters 1-4 Cumulative Review Exercises 5. Exponential and Logarithmic Functions 5.1 Combining Functions 5.2 Inverse Functions and Their Representations Checking Basic Concepts for Sections 5.1 and 5.2 5.3 Exponential Functions and Models 5.4 Logarithmic Functions and Models Checking Basic Concepts for Sections 5.3 and 5.4 5.5 Properties of Logarithms 5.6 Exponential and Logarithmic Equations Checking Basic Concepts for Sections 5.5 and 5.6 5.7 Constructing Nonlinear Models Checking Basic Concepts for Section 5.7 Chapter 5 Summary Chapter 5 Review Exercises Chapter 5 Extended and Discovery Exercises 6. Systems of Equations and Inequalities 6.1 Functions and Systems of Equations in Two Variables 6.2 Systems of Inequalities in Two Variables Checking Basic Concepts for Sections 6.1 and 6.2 6.3 Systems of Linear Equations in Three Variables 6.4 Solutions to Linear Systems Using Matrices Checking Basic Concepts for Sections 6.3 and 6.4 6.5 Properties and Applications of Matrices 6.6 Inverses of Matrices Checking Basic Concepts for Sections 6.5 and 6.6 6.7 Determinants Checking Basic Concepts for Section 6.7 Chapter 6 Summary Chapter 6 Review Exercises Chapter 6 Extended and Discovery Exercises Chapters 1-6 Cumulative Review Exercises 7. Conic Sections 7.1 Parabolas 7.2 Ellipses Checking Basic Concepts for Sections 7.1 and 7.2 7.3 Hyperbolas Checking Basic Concepts for Section 7.3 Chapter 7 Summary Chapter 7 Review Exercises Chapter 7 Extended and Discovery Exercises 8. Further Topics in Algebra 8.1 Sequences 8.2 Series Checking Basic Concepts for Sections 8.1 and 8.2 8.3 Counting 8.4 The Binomial Theorem Checking Basic Concepts for Sections 8.3 and 8.4 8.5 Mathematical Induction 8.6 Probability Checking Basic Concepts for Sections 8.5 and 8.6 Chapter 8 Summary Chapter 8 Review Exercises Chapter 8 Extended and Discovery Exercises Chapters 1-8 Cumulative Review Exercises R. Reference: Basic Concepts from Algebra and Geometry R.1 Formulas from Geometry R.2 Integer Exponents R.3 Polynomial Expressions R.4 Factoring Polynomials R.5 Rational Expressions R.6 Radical Notation and Rational Exponents R.7 Radical Expressions Appendix A: Collaborative Activities Appendix B: A Library of Functions Appendix C: Partial Fractions Appendix D: Percent Change and Exponential Functions Bibliography Answers to Selected Exercises Photo Credits Index of Applications Index.
- (source: Nielsen Book Data)9780134418049 20170522
(source: Nielsen Book Data)9780134418049 20170522
Science Library (Li and Ma)
Science Library (Li and Ma) | Status |
---|---|
Stacks | |
QA152.3 .R63 2018 | Unknown |
17. Differential equations & linear algebra [2018]
- Book
- xiii, 739 pages : illustrations ; 26 cm
- 1. First-Order Differential Equations 1.1 Differential Equations and Mathematical Models 1.2 Integrals as General and Particular Solutions 1.3 Slope Fields and Solution Curves 1.4 Separable Equations and Applications 1.5 Linear First-Order Equations 1.6 Substitution Methods and Exact Equations 2. Mathematical Models and Numerical Methods 2.1 Population Models 2.2 Equilibrium Solutions and Stability 2.3 Acceleration-Velocity Models 2.4 Numerical Approximation: Euler's Method 2.5 A Closer Look at the Euler Method 2.6 The Runge-Kutta Method 3. Linear Systems and Matrices 3.1 Introduction to Linear Systems 3.2 Matrices and Gaussian Elimination 3.3 Reduced Row-Echelon Matrices 3.4 Matrix Operations 3.5 Inverses of Matrices 3.6 Determinants 3.7 Linear Equations and Curve Fitting 4. Vector Spaces 4.1 The Vector Space R3 4.2 The Vector Space Rn and Subspaces 4.3 Linear Combinations and Independence of Vectors 4.4 Bases and Dimension for Vector Spaces 4.5 Row and Column Spaces 4.6 Orthogonal Vectors in Rn 4.7 General Vector Spaces 5. Higher-Order Linear Differential Equations 5.1 Introduction: Second-Order Linear Equations 5.2 General Solutions of Linear Equations 5.3 Homogeneous Equations with Constant Coefficients 5.4 Mechanical Vibrations 5.5 Nonhomogeneous Equations and Undetermined Coefficients 5.6 Forced Oscillations and Resonance 6. Eigenvalues and Eigenvectors 6.1 Introduction to Eigenvalues 6.2 Diagonalization of Matrices 6.3 Applications Involving Powers of Matrices 7. Linear Systems of Differential Equations 7.1 First-Order Systems and Applications 7.2 Matrices and Linear Systems 7.3 The Eigenvalue Method for Linear Systems 7.4 A Gallery of Solution Curves of Linear Systems 7.5 Second-Order Systems and Mechanical Applications 7.6 Multiple Eigenvalue Solutions 7.7 Numerical Methods for Systems 8. Matrix Exponential Methods 8.1 Matrix Exponentials and Linear Systems 8.2 Nonhomogeneous Linear Systems 8.3 Spectral Decomposition Methods 9. Nonlinear Systems and Phenomena 9.1 Stability and the Phase Plane 9.2 Linear and Almost Linear Systems 9.3 Ecological Models: Predators and Competitors 9.4 Nonlinear Mechanical Systems 10. Laplace Transform Methods 10.1 Laplace Transforms and Inverse Transforms 10.2 Transformation of Initial Value Problems 10.3 Translation and Partial Fractions 10.4 Derivatives, Integrals, and Products of Transforms 10.5 Periodic and Piecewise Continuous Input Functions 11. Power Series Methods 11.1 Introduction and Review of Power Series 11.2 Power Series Solutions 11.3 Frobenius Series Solutions 11.4 Bessel Functions Appendix A: Existence and Uniqueness of Solutions Appendix B: Theory of Determinants APPLICATION MODULES The modules listed below follow the indicated sections in the text. Most provide computing projects that illustrate the corresponding text sections. Many of these modules are enhanced by the supplementary material found at the new Expanded Applications website. 1.3 Computer-Generated Slope Fields and Solution Curves 1.4 The Logistic Equation 1.5 Indoor Temperature Oscillations 1.6 Computer Algebra Solutions 2.1 Logistic Modeling of Population Data 2.3 Rocket Propulsion 2.4 Implementing Euler's Method 2.5 Improved Euler Implementation 2.6 Runge-Kutta Implementation 3.2 Automated Row Operations 3.3 Automated Row Reduction 3.5 Automated Solution of Linear Systems 5.1 Plotting Second-Order Solution Families 5.2 Plotting Third-Order Solution Families 5.3 Approximate Solutions of Linear Equations 5.5 Automated Variation of Parameters 5.6 Forced Vibrations and Resonance 7.1 Gravitation and Kepler's Laws of Planetary Motion 7.3 Automatic Calculation of Eigenvalues and Eigenvectors 7.4 Dynamic Phase Plane Graphics 7.5 Earthquake-Induced Vibrations of Multistory Buildings 7.6 Defective Eigenvalues and Generalized Eigenvectors 7.7 Comets and Spacecraft 8.1 Automated Matrix Exponential Solutions 8.2 Automated Variation of Parameters 9.1 Phase Portraits and First-Order Equations 9.2 Phase Portraits of Almost Linear Systems 9.3 Your Own Wildlife Conservation Preserve 9.4 The Rayleigh and van der Pol Equations.
- (source: Nielsen Book Data)9780134497181 20170508
(source: Nielsen Book Data)9780134497181 20170508
- 1. First-Order Differential Equations 1.1 Differential Equations and Mathematical Models 1.2 Integrals as General and Particular Solutions 1.3 Slope Fields and Solution Curves 1.4 Separable Equations and Applications 1.5 Linear First-Order Equations 1.6 Substitution Methods and Exact Equations 2. Mathematical Models and Numerical Methods 2.1 Population Models 2.2 Equilibrium Solutions and Stability 2.3 Acceleration-Velocity Models 2.4 Numerical Approximation: Euler's Method 2.5 A Closer Look at the Euler Method 2.6 The Runge-Kutta Method 3. Linear Systems and Matrices 3.1 Introduction to Linear Systems 3.2 Matrices and Gaussian Elimination 3.3 Reduced Row-Echelon Matrices 3.4 Matrix Operations 3.5 Inverses of Matrices 3.6 Determinants 3.7 Linear Equations and Curve Fitting 4. Vector Spaces 4.1 The Vector Space R3 4.2 The Vector Space Rn and Subspaces 4.3 Linear Combinations and Independence of Vectors 4.4 Bases and Dimension for Vector Spaces 4.5 Row and Column Spaces 4.6 Orthogonal Vectors in Rn 4.7 General Vector Spaces 5. Higher-Order Linear Differential Equations 5.1 Introduction: Second-Order Linear Equations 5.2 General Solutions of Linear Equations 5.3 Homogeneous Equations with Constant Coefficients 5.4 Mechanical Vibrations 5.5 Nonhomogeneous Equations and Undetermined Coefficients 5.6 Forced Oscillations and Resonance 6. Eigenvalues and Eigenvectors 6.1 Introduction to Eigenvalues 6.2 Diagonalization of Matrices 6.3 Applications Involving Powers of Matrices 7. Linear Systems of Differential Equations 7.1 First-Order Systems and Applications 7.2 Matrices and Linear Systems 7.3 The Eigenvalue Method for Linear Systems 7.4 A Gallery of Solution Curves of Linear Systems 7.5 Second-Order Systems and Mechanical Applications 7.6 Multiple Eigenvalue Solutions 7.7 Numerical Methods for Systems 8. Matrix Exponential Methods 8.1 Matrix Exponentials and Linear Systems 8.2 Nonhomogeneous Linear Systems 8.3 Spectral Decomposition Methods 9. Nonlinear Systems and Phenomena 9.1 Stability and the Phase Plane 9.2 Linear and Almost Linear Systems 9.3 Ecological Models: Predators and Competitors 9.4 Nonlinear Mechanical Systems 10. Laplace Transform Methods 10.1 Laplace Transforms and Inverse Transforms 10.2 Transformation of Initial Value Problems 10.3 Translation and Partial Fractions 10.4 Derivatives, Integrals, and Products of Transforms 10.5 Periodic and Piecewise Continuous Input Functions 11. Power Series Methods 11.1 Introduction and Review of Power Series 11.2 Power Series Solutions 11.3 Frobenius Series Solutions 11.4 Bessel Functions Appendix A: Existence and Uniqueness of Solutions Appendix B: Theory of Determinants APPLICATION MODULES The modules listed below follow the indicated sections in the text. Most provide computing projects that illustrate the corresponding text sections. Many of these modules are enhanced by the supplementary material found at the new Expanded Applications website. 1.3 Computer-Generated Slope Fields and Solution Curves 1.4 The Logistic Equation 1.5 Indoor Temperature Oscillations 1.6 Computer Algebra Solutions 2.1 Logistic Modeling of Population Data 2.3 Rocket Propulsion 2.4 Implementing Euler's Method 2.5 Improved Euler Implementation 2.6 Runge-Kutta Implementation 3.2 Automated Row Operations 3.3 Automated Row Reduction 3.5 Automated Solution of Linear Systems 5.1 Plotting Second-Order Solution Families 5.2 Plotting Third-Order Solution Families 5.3 Approximate Solutions of Linear Equations 5.5 Automated Variation of Parameters 5.6 Forced Vibrations and Resonance 7.1 Gravitation and Kepler's Laws of Planetary Motion 7.3 Automatic Calculation of Eigenvalues and Eigenvectors 7.4 Dynamic Phase Plane Graphics 7.5 Earthquake-Induced Vibrations of Multistory Buildings 7.6 Defective Eigenvalues and Generalized Eigenvectors 7.7 Comets and Spacecraft 8.1 Automated Matrix Exponential Solutions 8.2 Automated Variation of Parameters 9.1 Phase Portraits and First-Order Equations 9.2 Phase Portraits of Almost Linear Systems 9.3 Your Own Wildlife Conservation Preserve 9.4 The Rayleigh and van der Pol Equations.
- (source: Nielsen Book Data)9780134497181 20170508
(source: Nielsen Book Data)9780134497181 20170508
Science Library (Li and Ma)
Science Library (Li and Ma) | Status |
---|---|
Stacks | |
QA372 .E34 2018 | Unknown |
18. Discrete mathematics [2018]
- Book
- xix, 747 pages ; 27 cm
For one- or two-term introductory courses in discrete mathematics. An accessible introduction to the topics of discrete math, this best-selling text also works to expand students' mathematical maturity. With nearly 4,500 exercises, Discrete Mathematics provides ample opportunities for students to practice, apply, and demonstrate conceptual understanding. Exercise sets features a large number of applications, especially applications to computer science. The almost 650 worked examples provide ready reference for students as they work. A strong emphasis on the interplay among the various topics serves to reinforce understanding. The text models various problem-solving techniques in detail, then provides opportunity to practice these techniques. The text also builds mathematical maturity by emphasizing how to read and write proofs. Many proofs are illustrated with annotated figures and/or motivated by special Discussion sections. The side margins of the text now include "tiny URLs" that direct students to relevant applications, extensions, and computer programs on the textbook website.
(source: Nielsen Book Data)9780321964687 20170522
(source: Nielsen Book Data)9780321964687 20170522
For one- or two-term introductory courses in discrete mathematics. An accessible introduction to the topics of discrete math, this best-selling text also works to expand students' mathematical maturity. With nearly 4,500 exercises, Discrete Mathematics provides ample opportunities for students to practice, apply, and demonstrate conceptual understanding. Exercise sets features a large number of applications, especially applications to computer science. The almost 650 worked examples provide ready reference for students as they work. A strong emphasis on the interplay among the various topics serves to reinforce understanding. The text models various problem-solving techniques in detail, then provides opportunity to practice these techniques. The text also builds mathematical maturity by emphasizing how to read and write proofs. Many proofs are illustrated with annotated figures and/or motivated by special Discussion sections. The side margins of the text now include "tiny URLs" that direct students to relevant applications, extensions, and computer programs on the textbook website.
(source: Nielsen Book Data)9780321964687 20170522
(source: Nielsen Book Data)9780321964687 20170522
Science Library (Li and Ma)
Science Library (Li and Ma) | Status |
---|---|
Stacks | |
QA39.2 .J65 2018 | Unknown |
- Book
- 1 volume (various pagings) : illustrations (chiefly color) ; 29 cm
For courses in Beginning & Intermediate Algebra. Understanding and Applying Mathematical Concepts The goal of the Bittinger Concepts and Applications Series is to help today's student learn and retain mathematical concepts. This proven program prepares students for the transition from skills-oriented elementary algebra courses to more concept-oriented college-level mathematics courses. This requires the development of critical-thinking skills: to reason mathematically, to communicate mathematically, and to identify and solve mathematical problems. The new editions support students with a tightly integrated MyLab(TM) Math course; a strong focus on problem-solving, applications, and concepts, and the robust MyMathGuide workbook and objective-based video program. In addition, new material-developed as a result of the authors' experience in the classroom, as well as from insights from faculty and students-includes more systematic review and preparation for practice, as well as stronger focus on real-world applications. Also available with MyLab Math. MyLab(TM) Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts. Note: You are purchasing a standalone product; MyLab(TM) does not come packaged with this content. Students, if interested in purchasing this title with MyLab, ask your instructor for the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information. If you would like to purchase both the physical text and MyLab, search for: 0134445813 / 9780134445816 Elementary and Intermediate Algebra: Concepts & Applications, Plus MyLab Math -- Access Card Package, 7/e Package consists of: 013446270X / 9780134462707 Elementary and Intermediate Algebra: Concepts & Applications 0321431308 / 9780321431301 MyLab Math -- Glue-in Access Card 0321654064 / 9780321654069 MyLab Math Inside Star Sticker Student can use the URL and phone number below to help answer their questions: http://247pearsoned.custhelp.com/app/home 800-677-6337.
(source: Nielsen Book Data)9780134462707 20170605
(source: Nielsen Book Data)9780134462707 20170605
For courses in Beginning & Intermediate Algebra. Understanding and Applying Mathematical Concepts The goal of the Bittinger Concepts and Applications Series is to help today's student learn and retain mathematical concepts. This proven program prepares students for the transition from skills-oriented elementary algebra courses to more concept-oriented college-level mathematics courses. This requires the development of critical-thinking skills: to reason mathematically, to communicate mathematically, and to identify and solve mathematical problems. The new editions support students with a tightly integrated MyLab(TM) Math course; a strong focus on problem-solving, applications, and concepts, and the robust MyMathGuide workbook and objective-based video program. In addition, new material-developed as a result of the authors' experience in the classroom, as well as from insights from faculty and students-includes more systematic review and preparation for practice, as well as stronger focus on real-world applications. Also available with MyLab Math. MyLab(TM) Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts. Note: You are purchasing a standalone product; MyLab(TM) does not come packaged with this content. Students, if interested in purchasing this title with MyLab, ask your instructor for the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information. If you would like to purchase both the physical text and MyLab, search for: 0134445813 / 9780134445816 Elementary and Intermediate Algebra: Concepts & Applications, Plus MyLab Math -- Access Card Package, 7/e Package consists of: 013446270X / 9780134462707 Elementary and Intermediate Algebra: Concepts & Applications 0321431308 / 9780321431301 MyLab Math -- Glue-in Access Card 0321654064 / 9780321654069 MyLab Math Inside Star Sticker Student can use the URL and phone number below to help answer their questions: http://247pearsoned.custhelp.com/app/home 800-677-6337.
(source: Nielsen Book Data)9780134462707 20170605
(source: Nielsen Book Data)9780134462707 20170605
Science Library (Li and Ma)
Science Library (Li and Ma) | Status |
---|---|
Stacks | |
QA152.3 .B546 2018 | Unknown |
20. Elementary statistics [2018]
- Book
- xxi, 764 pages : color illustrations ; 29 cm
- 1. Introduction to Statistics 2. Exploring Data with Tables and Graphs 3. Describing, Exploring, and Comparing Data 4. Probability 5. Discrete Probability Distributions 6. Normal Probability Distributions 7. Estimating Parameters and Determining Sample Sizes 8. Hypothesis Testing 9. Inferences from Two Samples 10. Correlation and Regression 11. Goodness-of-Fit and Contingency Tables 12. Analysis of Variance 13. Nonparametric Tests 14. Statistical Process Control 15. Ethics in Statistics.
- (source: Nielsen Book Data)9780134462455 20170327
(source: Nielsen Book Data)9780134462455 20170327
- 1. Introduction to Statistics 2. Exploring Data with Tables and Graphs 3. Describing, Exploring, and Comparing Data 4. Probability 5. Discrete Probability Distributions 6. Normal Probability Distributions 7. Estimating Parameters and Determining Sample Sizes 8. Hypothesis Testing 9. Inferences from Two Samples 10. Correlation and Regression 11. Goodness-of-Fit and Contingency Tables 12. Analysis of Variance 13. Nonparametric Tests 14. Statistical Process Control 15. Ethics in Statistics.
- (source: Nielsen Book Data)9780134462455 20170327
(source: Nielsen Book Data)9780134462455 20170327
Science Library (Li and Ma)
Science Library (Li and Ma) | Status |
---|---|
Stacks | |
QA276.12 .T76 2018 | Unknown |