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1. Calculus for the life sciences [2015]
- Greenwell, Raymond N., author.
- Second edition. - Boston : Pearson Addison Wesley, [2015]
- Description
- Book — One volume (various pagings) : color illustrations ; 29 cm
- Summary
-
- R. Algebra Reference R.1 Polynomials R.2 Factoring R.3 Rational Expressions R.4 Equations R.5 Inequalities R.6 Exponents R.7 Radicals
- 1. Functions 1.1 Lines and Linear Functions 1.2 The Least Squares Line 1.3 Properties of Functions 1.4 Quadratic Functions-- Translation and Reflection 1.5 Polynomial and Rational Functions Chapter Review Extended Application: Using Extrapolation to Predict Life Expectancy
- 2. Exponential, Logarithmic, and Trigonometric Functions 2.1 Exponential Functions 2.2 Logarithmic Functions 2.3 Applications: Growth and Decay 2.4 Trigonometric Functions Chapter Review Extended Application: Power Functions
- 3. The Derivative 3.1 Limits 3.2 Continuity 3.3 Rates of Change 3.4 Definition of the Derivative 3.5 Graphical Differentiation Chapter Review Extended Application: A Model For Drugs Administered Intravenously
- 4. Calculating the Derivative 4.1 Techniques for Finding Derivatives 4.2 Derivatives of Products and Quotients 4.3 The Chain Rule 4.4 Derivatives of Exponential Functions 4.5 Derivatives of Logarithmic Functions 4.6 Derivatives of Trigonometric Functions Chapter Review Extended Application: Managing Renewable Resources
- 5. Graphs and the Derivative 5.1 Increasing and Decreasing Functions 5.2 Relative Extrema 5.3 Higher Derivatives, Concavity, and the Second Derivative Test 5.4 Curve Sketching Chapter Review Extended Application: A Drug Concentration Model for Orally Administered Medications
- 6. Applications of the Derivative 6.1 Absolute Extrema 6.2 Applications of Extrema 6.3 Implicit Differentiation 6.4 Related Rates 6.5 Differentials: Linear Approximation Chapter Review Extended Application: A Total Cost Model for a Training Program
- 7. Integration 7.1 Antiderivatives 7.2 Substitution 7.3 Area and the Definite Integral 7.4 The Fundamental Theorem of Calculus 7.5 The Area Between Two Curves Chapter Review Extended Application: Estimating Depletion Dates for Minerals
- 8. Further Techniques and Applications of Integration 8.1 Numerical Integration 8.2 Integration by Parts 8.3 Volume and Average Value 8.4 Improper Integrals Chapter Review Extended Application: Flow Systems
- 9. Multivariable Calculus 9.1 Functions of Several Variables 9.2 Partial Derivatives 9.3 Maxima and Minima 9.4 Total Differentials and Approximations 9.5 Double Integrals Chapter Review Extended Application: Optimization for a Predator
- 10. Matrices 10.1 Solution of Linear Systems 10.2 Addition and Subtraction of Matrices 10.3 Multiplication of Matrices 10.4 Matrix Inverses 10.5 Eigenvalues and Eigenvectors Chapter Review Extended Application: Contagion
- 11. Differential Equations 11.1 Solutions of Elementary and Separable Differential Equations 11.2 Linear First-Order Differential Equations 11.3 Euler's Method 11.4 Linear Systems of Differential Equations 11.5 Non-Linear Systems of Differential Equations 11.6 Applications of Differential Equations Chapter Review Extended Application: Pollution of the Great Lakes
- 12. Probability 12.1 Sets 12.2 Introduction to Probability 12.3 Conditional Probability-- Independent Events-- Bayes' Theorem 12.4 Discrete Random Variables-- Applications to Decision Making Chapter Review Extended Application: Medical Diagnosis
- 13. Probability and Calculus 13.1 Continuous Probability Models 13.2 Expected Value and Variance of Continuous Random Variables. 13.3 Special Probability Density Functions Chapter Review Extended Application: Exponential Waiting Times
- 14. Discrete Dynamical Systems 14.1 Sequences 14.2 Equilibrium Points 14.3 Determining Stability Chapter Review Extended Application: Mathematical Modeling in a Dynamic World Special Topics (available online) Sequences and Series Geometric Sequences Annuities: An Application of Sequences Taylor Polynomials Infinite Series Taylor Series Newton's Method L'Hopital's Rule Markov Chains.
- (source: Nielsen Book Data)
(source: Nielsen Book Data)
- Online
Science Library (Li and Ma)
Science Library (Li and Ma) | Status |
---|---|
Stacks | Request (opens in new tab) |
QA303.2 .G74 2015 | Unknown |
- Harshbarger, Ronald J., 1938- author.
- 12th edition. - Boston, MA : Cengage Learning, [2019]
- Description
- Book — XV, 901 pages, pages AP 1-45, A 1-67, I 1-18 : illustrations ; 29 cm
- Summary
-
- 0. ALGEBRAIC CONCEPTS. Sets. The Real Numbers. Integral Exponents. Radicals and Rational Exponents. Operations with Algebraic Expressions. Factoring. Algebraic Fractions.
- 1. LINEAR EQUATIONS AND FUNCTIONS. Solutions of Linear Equations and Inequalities in One Variable. Functions. Linear Functions. Graphs and Graphing Utilities. Solutions of Systems of Linear Equations. Applications of Functions in Business and Economics.
- 2. QUADRATIC AND OTHER SPECIAL FUNCTIONS. Quadratic Equations. Quadratic Functions: Parabolas. Business Applications Using Quadratics. Special Functions and Their Graphs. Modeling-- Fitting Curves to Data with Graphing Utilities (optional).
- 3. MATRICES. Matrices. Multiplication of Matrices. Gauss-Jordan Elimination: Solving Systems of Equations. Inverse of a Square Matrix-- Matrix Equations. Applications of Matrices: Leontief Input-Output Models.
- 4. INEQUALITIES AND LINEAR PROGRAMMING. Linear Inequalities in Two Variables. Linear Programming: Graphical Methods. The Simplex Method: Maximization. The Simplex Method: Duality and Minimization. The Simplex Method with Mixed Constraints.
- 5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions. Logarithmic Functions and Their Properties. Equations and Applications with Exponential and Logarithmic Functions.
- 6. MATHEMATICS OF FINANCE. Simple Interest-- Sequences. Compound Interest-- Geometric Sequences. Future Values of Annuities. Present Values of Annuities. Loans and Amortization.
- 7. INTRODUCTION TO PROBABILITY. Probability-- Odds. Unions and Intersections of Events: One-Trial Experiments. Conditional Probability: The Product Rule. Probability Trees and Bayes'' Formula. Counting: Permutations and Combinations. Permutations, Combinations, and Probability. Markov Chains.
- 8. FURTHER TOPICS IN PROBABILITY-- DATA DESCRIPTION. Binomial Probability Experiments. Data Description. Discrete Probability Distributions-- The Binomial Distribution. Normal Probability Distribution. The Normal Curve Approximation to the Binomial Distribution.
- 9. DERIVATIVES. Limits. Continuous Functions-- Limits at Infinity. Rates of Change and Derivatives. Derivative Formulas. The Product Rule and the Quotient Rule. The Chain Rule and the Power Rule. Using Derivative Formulas. Higher-Order Derivatives. Applications: Marginals and Derivatives.
- 10. APPLICATIONS AND DERIVATIVES. Relative Maxima and Minima: Curve Sketching. Concavity: Points of Inflection. Optimization in Business and Economics. Applications of Maxima and Minima. Rational Functions: More Curve Sketching.
- 11. DERIVATIVES CONTINUED. Derivatives of Logarithmic Functions. Derivatives of Exponential Functions. Implicit Differentiation. Related Rates. Applications in Business and Economics.
- 12. INDEFINITE INTEGRALS. Indefinite Integrals. The Power Rule. Integrals Involving Exponential and Logarithmic Functions. Applications of the Indefinite Integral in Business and Economics. Differential Equations.
- 13. DEFINITE INTEGRALS: TECHNIQUES OF INTEGRATION. Area Under a Curve. The Definite Integral: The Fundamental Theorem of Calculus. Area Between Two Curves. Applications of Definite Integrals in Business and Economics. Using Tables of Integrals. Integration by Parts. Improper Integrals and Their Applications. Numerical Integration Methods: The Trapezoidal Rule and Simpson''s Rule.
- 14. FUNCTIONS OF TWO OR MORE VARIABLES. Functions of Two or More Variables. Partial Differentiation. Applications of Functions of Two Variables in Business and Economics. Maxima and Minima. Maxima and Minima of Functions Subject to Constraints: Lagrange Multipliers. APPENDICES. A. Graphing Calculator Guide. B. Excel Guide. C. Areas Under the Standard Normal Curve.
- (source: Nielsen Book Data)
(source: Nielsen Book Data)
- Online
Science Library (Li and Ma)
Science Library (Li and Ma) | Status |
---|---|
Stacks | Request (opens in new tab) |
HF5691 .H3184 2019 | Unknown |
- MacKenzie, Aulay, author.
- First edition - Boca Raton, FL : CRC Press, an imprint of Taylor & Francis, [2004]
- Description
- Book — 1 online resource (176 pages) : 150 illustrations
- Summary
-
- part Section A - Using numbers in life sciences -- chapter Section B - Measures and units -- chapter B2: Units: The Syste?me International -- chapter B3: Preparing solutions -- chapter Section C - Handling and presenting data -- chapter C2: Presenting data -- chapter Section D - Building blocks of mathematics -- chapter D2: Trigonometry -- chapter D3: Indices and logarithms -- chapter Section E - Using mathematics -- chapter E2: Defining biological relationships -- chapter Section F - Rates of change: Differentiation -- chapter F2: Other functions -- chapter Section G - Rates of change Integration -- chapter G2: Position, velocity, and acceleration -- chapter G3: Methods of integration -- chapter G4: Areas under lines -- chapter G5: Numerical integration -- chapter Section H - Equations -- chapter H2: Difference equations -- chapter Section I - Using equations -- part I2: Heat loss from a body -- chapter I3: Chemical kinetics -- chapter Section J - Building blocks of statistics -- chapter J2: Experimental design -- chapter J3: Tests and testing -- chapter Section K - Finding the right statistical test -- chapter K2: Searching for patterns in continuous data -- chapter K3: Searching for patterns in count data -- chapter K4: Searching in a data pond
(source: Nielsen Book Data)
4. Mathématiques et statistique pour les sciences de la nature : modéliser, comprendre et appliquer [2010]
- Biau, Gérard.
- Les Ulis : EDP Sciences, ©2010.
- Description
- Book — 1 online resource (xv, 531 pages) : illustrations.
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