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CEGEP Champlain
ST. LAWRENCE

Math 201-203-RE
Integral Calculus


Martin Huard

Revised on May 1, 2009


Schedule

Course Outline

Formula Sheets

Rules of Differentiation
Properties of Sums and Integrals
The Unit Circle
Trigonometric Formulas
   
Strategy for Integration - Solutions
Strategy for Testing Series - Solutions
   

Exercise Sheets

Review of Differentiation
I - Antiderivatives
II - Sigma Notation and Areas
III - The Definite Integral
IV - The Fundamental Theorem of Calculus
V - Substitutions
VI - Integration by Parts
VII  - Trigonometric Integrals
VIII - Partial Fractions
IX - Rationalizing Substitutions
X - Approximate Integration
XI - Improper Integrals
XII - Areas between Curves
XIII - Volumes of Solids of Revolution
XIV - Volumes by the Slicing Method
XV - Length of a Curve
XVI - Business applications
XVII - Differential Equations
XVIII - Sequences
XIX - Infinite Series
XX - The Integral and Convergence Tests
XXI - Alternating Series and the Ratio Test
XXII - Power Series
XXIII - Taylor and MacLaurin Series
   
Semester Review - Solutions

Maple

bullet Maple Introduction
bullet Limits and Derivatives with Maple
bullet Integrals and Sums with Maple
bullet Integration Techniques with Maple

 

Tests and Assignments

Test 1 - Solutions -  Friday February 6
Test 2 - Solutions - Wednesday February 25
Test 3 - Solutions -  Wednesday April 1

Test 4 - Solutions - Monday April 27
  QUIZ - Solutions  -Thursday April 30
Final Exam - Wednesday May 6, 8:30
Assignment 1Solutions - Maple Solutions - due Tuesday February 3
Assignment 2 - Solutions - due Monday February 23
Assignment 3 - Solutions - due Monday March 30
Assignment 4 - Solutions - due Wednesday April 20

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