Kettering University

Department of Science and Mathematics

Calculus II with Maple V

A MATH-102 Supplement - Labs & Projects

by Dr. Leszek Gawarecki

This online text serves as a supplement for studying Calculus II using Maple V. The following link is to the cover page and is in Adobe Acrobat format.

• Cover Page (pdf)

The following links open Maple V Release 4 worksheets.

• Chapter 0 Learning to Use Maple V
• 0 Learning to Use Maple V
• Chapter 6 Finding a Function When Its Derivative Is Known
• 6.1 The Definite Integral Revisited
• 6.2 General Properties of The Definite Integral
• Chapter 7 The Integral
• 7.1 Some Basic Formulas
• 7.2 Finding Integrals by the Method of Substitution
• 7.3 Integration by Parts
• 7.4 Using Maple V in Place of Integral Tables
• 7.5 Approximating Definite Integrals Numerically
• 7.6 Approximation Errors and Simpson's Rule
• 7.7 Improper Integrals
• Chapter 8 Applications That Use The Definite Integral
• 8.1 The Area between Two Curves
• 8.2 Applications to Geometry
• 8.3 Applications to Physics
• Chapter 9 Ordinary Differential Equations
• 9.1 What is a Differential Equation
• 9.2 Direction Fields
• 9.3 Euler's Method
• 9.4 Separation of Variables
• 9.5 Models of Growth and Decay: First Order Rates
• 9.6 Systems of Differential Equations
• 9.7 Second-Order Linear Differential Equations
• Chapter 10 Infinite Series
• 10.1 Taylor Polynomials
• 10.2 Trigonometric Polynomials
• Appendix: MA 241 Assignments (Consult the course syllabus for due dates)
• Maple Assignment 1
• Maple Assignment 2
• Maple Assignment 3
• Maple Assignment 4
• Appendix: Labs and Projects (these are Adobe Acrobat files)
• Lab 1 Riemann Sums I (pdf)
• Lab 2 Riemann Sums II (pdf)
• Lab 3 Integration by Substitution (pdf)
• Lab 4 Integration by Parts (pdf)
• Lab 5 Euler's Method (pdf)
• Lab 6 Hyperbolic Functions (pdf)
• Lab 7 Mixture Problem (pdf)
• Lab 8 Cable in Contact with a Rough Surface (pdf)
• Lab 9 Central Orbits (pdf)
• Project 1 Mixing Problem (pdf)
• Project 2 Cables Hanging under their own Weight (pdf)
• Project 3 Catenary (pdf)
• Project 4 Fourier Series (pdf)

• Back to Calculus & Differential Equations with Maple V Home Page
• Back to MA 241 Home Page

(v1.1/jam/1 July 1997)