Chapter 5 Contents***

Index About this Chapter
Section 5.1 Raindrops: 5.1.1 Galileo's Model; 5.1.2 Stokes' Law; 5.1.3 The Velocity-Squared Model; Section Summary; Exercises
Section 5.2 Euler's Method: 5.2.1 A Numerical Solution for the Velocity-Squared Model; 5.2.2 The General Euler's Method; Section Summary; Exercises
Section 5.3 Periodic Motion: 5.3.1 Spring Mass Systems; 5.3.2 A Differential Equation for Spring Motion; 5.3.3 Circular Motion: Sines and Cosines; 5.3.4 Period and Frequency; 5.3.5 Derivatives of Sine and Cosine 1: Examination; 5.3.6 Derivatives of Sine and Cosine 2: Calculation; Section Summary; Exercises
Section 5.4 Modeling With Circular Functions: 5.4.1 How Much Daylight?; 5.4.2 Euler's Method Solutions for the Spring Equation; 5.4.3 Symbolic Solutions of the Spring Equation; Section Summary; Exercises
Section 5.5 Trigonometric and Inverse Trigonometric Functions: 5.5.1 How Tall is a Tree?; 5.5.2 Derivative of the Tangent Function; 5.5.3 Inverse Trigonometric Functions; Section Summary; Exercises
Section 5.6 Derivative Calculations: 5.6.1 Why Hand Calculation?; 5.6.2 Calculations with Algebraic Functions; 5.6.3 Calculations with Transcendental Functions; Section Summary; Exercises
Chapter Summary: Chapter Review; Concepts and Applications; Formulas