Calculus II with Maple V

A MA 241 Supplement

by Dr. Joe A. Marlin & Dr. Hok Kim
with Labs & Projects by Dr. Ernest Burniston

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 or Release 5 worksheets as indicated. Note: Maple V Release 5 will open either version, but Release 4 will not open a Release 5 version.

• Chapter 0 Learning to Use Maple V
  • 0 Learning to Use Maple V (Release 4) (Release 5 Version)
• Chapter 6 Finding a Function When Its Derivative Is Known
  • 6.1 The Definite Integral Revisited (Release 4) (Release 5 Version)
  • 6.2 General Properties of The Definite Integral (Release 4) (Release 5 Version)
• Chapter 7 The Integral
  • 7.1 Some Basic Formulas (Release 4) (Release 5 Version)
  • 7.2 Finding Integrals by the Method of Substitution (Release 4 ) (Release 5 Version)
  • 7.3 Integration by Parts (Release 4) (Release 5 Version)
  • 7.4 Using Maple V in Place of Integral Tables (Release 4 ) (Release 5 Version)
  • 7.5 Approximating Definite Integrals Numerically (Release 4 ) (Release 5 Version)
  • 7.6 Approximation Errors and Simpson's Rule (Release 4 ) (Release 5 Version)
  • 7.7 Improper Integrals (Release 4 ) (Release 5 Version)
• Chapter 8 Applications That Use The Definite Integral
  • 8.1 The Area between Two Curves (Release 4 ) (Release 5 Version)
  • 8.2 Applications to Geometry (Release 4 ) (Release 5 Version)
  • 8.3 Applications to Physics (Release 4) (Release 5 Version)
• Chapter 9 Ordinary Differential Equations
  • 9.1 What is a Differential Equation (Release 4 ) (Release 5 Version)
  • 9.2 Direction Fields (Release 4 ) (Release 5 Version)
  • 9.3 Euler's Method (Release 4 ) (Release 5 Version)
  • 9.4 Separation of Variables (Release 4 ) (Release 5 Version)
  • 9.5 Models of Growth and Decay: First Order Rates (Release 4 ) (Release 5 Version)
  • 9.6 Systems of Differential Equations (Release 4 ) (Release 5 Version)
  • 9.7 Second-Order Linear Differential Equations (Release 4 ) (Release 5 Version)
• Chapter 10 Infinite Series
  • 10.1 Taylor Polynomials (Release 5 Version)
  • 10.2 Trigonometric Polynomials (Release 5 Version)
• Appendix: Old MA 241 Assignments with Answers. (These are assignments and answers to problems given in 1997-1998 academic year.)
  • Old Maple Assignment 1 with answers
  • Old Maple Assignment 2 with answers
  • Old Maple Assignment 3 with answers
  • Old Maple Assignment 4 with answers
• Appendix: MA 241 Assignments for Spring 1999 (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

   

marlin@math.ncsu.edu
Department of Mathematics, Box 8205
North Carolina State University
Raleigh, NC 27695/8205