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

	Maple Introduction
	Limits and Derivatives with Maple
	Integrals and Sums with Maple
	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 1 - Solutions - 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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Comments/Criticism:

mhuard@slc.qc.ca