Principles of Calculus Modeling: An Interactive Approach: Exercises

Principles of Calculus Modeling
An Interactive Approach

by Donald Kreider, Dwight Lahr, and Susan Diesel
Department of Mathematics, Dartmouth College
Department of Mathematics, Norwich University

Exercises

Following is the list of exercise sets that appear on the Web site.

Exercises for 1.1 Modeling Discrete Data
Exercises for 1.2 Lines in the Plane
Exercises for 1.3 Functions and their Graphs
Exercises for 1.4 Defining New Functions from Old
Exercises for 1.5 Trigonometric Functions
Exercises for 1.6 Exponential and Logarithmic Functions
Exercises for 1.7 Case Study: Modeling with Elementary Functions
Exercises for 2.1 Modeling Rates of Change
Exercises for 2.2 The Legacy of Galileo, Newton, and Leibniz
Exercises for 2.3 Limits of Functions
Exercises for 2.4 Limits at Infinity and Infinite Limits
Exercises for 2.5 Continuity
Exercises for 2.6 Tangent Lines and Their Slopes
Exercises for 2.7 The Derivative
Exercises for 2.8 Differentiation Rule
Exercises for 2.9 Derivatives of the Trigonometric Functions
Exercises for 2.10 The Mean Value Theorem
Exercises for 2.11 Implicit Differentiation
Exercises for 2.12 Derivatives of Exponential and Logarithm Functions
Exercises for 2.13 Newton’s Method
Exercises for 2.14 Linear Approximations
Exercises for 2.15 Antiderivatives and Initial Value Problems
Exercises for 2.16 Velocity and Acceleration
Exercises for 2.17 Related Rates
Exercises for 2.18 Case Study: Torricelli’s Law
Exercises for 3.1 Modeling with Differential Equations
Exercises for 3.2 Exponential Growth and Decay
Exercises for 3.3 Separable Differential Equations
Exercises for 3.4 Slope Fields and Euler’s Method
Exercises for 3.5 Issues in Curve Sketching
Exercises for 3.6 Optimization
Exercises for 3.7 Case Study: Population Modeling
Exercises for 4.1 Modeling Accumulations
Exercises for 4.2 The Definite Integral
Exercises for 4.3 Properties of the Definite Integral
Exercises for 4.4 The Fundamental Theorem of Calculus
Exercises for 4.5 Techniques of Integration
Exercises for 4.6 Trapezoid Rule
Exercises for 4.7 Areas Between Curves
Exercises for 4.8 Volumes of Solids of Revolution
Exercises for 4.9 Arc Length
Exercises for 4.10 Inverse Trigonometric Functions
Exercises for 4.11 Case Study: Flood Watch
Exercises for 5.1 Case Study: Sleuthing Galileo

Index Page