Basic technical mathematics with calculus
- Allyn J. Washington, Dutchess Community College, Richard S. Evans, Corning Community College.
- Eleventh edition.
- Boston : Pearson, 
- Copyright notice
- Physical description
- 1 volume (various pagings) : color illustrations ; 29 cm
Science Library (Li and Ma)
|QA37.3 .W38 2018||Unknown|
- 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
- Publisher's Summary
- For courses in technical and pre-engineering technical programs or other programs for which coverage of basic mathematics is required. The best-seller in technical mathematics gets an "Oh, wow!" update The 11th Edition of Basic Technical Mathematics with Calculus is a bold revision of this classic bestseller. The text now sports an engaging full-color design, and new co-author Rich Evans has introduced a wealth of relevant applications and improvements, many based on user feedback. The text is supported by an all-new online graphing calculator manual, accessible at point-of-use via short URLs. The new edition continues to feature a vast number of applications from technical and pre-engineering fields-including computer design, electronics, solar energy, lasers fiber optics, and the environment-and aims to develop your understanding of mathematical methods without simply providing a collection of formulas. The authors start the text by establishing a solid background in algebra and trigonometry, recognizing the importance of these topics for success in solving applied problems. 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. The MyLab Math course features hundreds of new algorithmic exercises, tutorial videos, and PowerPoint slides. NOTE: You are purchasing a standalone product; MyLab(TM) Math does not come packaged with this content. If you would like to purchase both the physical text and MyLab Math, search for: 0134469658 / 9780134469652 Basic Technical Mathematics with Calculus plus MyLab Math with Pearson eText -- Access Card Package Package consists of: * 013443773X/9780134437736 Basic Technical Mathematics with Calculus * 0321431308 / 9780321431301 MyLab Math -- Glue-in Access Card * 0321654064 / 9780321654069 MyLab Math Inside Star Sticker MyLab Math should only be purchased when required by an instructor.
(source: Nielsen Book Data)9780134437736 20170515
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- Includes indexes.
- 9780134437736 (student edition ; hardcover)
- 013443773X (student edition ; hardcover)
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