Student Solutions Manual for Calculus for the Life Sciences （2ND）

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Student Solutions Manual for Calculus for the Life Sciences （2ND）

Greenwell, Raymond/ Ritchey, Nathan/ Lial, Margaret

ウェブストア価格 ¥17,199（本体¥15,636）
Pearson（2014/08発売）
外貨定価 UK£ 59.25
ポイント 156pt

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製本 Paperback:紙装版/ペーパーバック版／ページ数 570 p.
言語 ENG
商品コード 9780321963833
DDC分類 515.02457

Full Description

This manual contains completely worked-out solutions for all the odd-numbered exercises in the text.

Table of Contents

Algebra Reference

R.1 Polynomials
R.2 Factoring
R.3 Rational Expressions
R.4 Equations
R.5 Inequalities
R.6 Exponents
R.7 Radicals

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

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

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

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

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

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

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

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

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

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 Eigenvectorsx

Chapter Review
Extended Application: Contagion

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

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

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

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'Hôpital's Rule

Markov Chains