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Math 231. Calculus II
Lecture Syllabus

Textbook: Stewart, Calculus: Early Transcendentals,
7th edition, with Enhanced Webassign
, Thomson Brooks/Cole.

Chapter 7 (6 lectures)

7.1 Integration by Parts (include a brief review of elementary substitutions)
7.2 Trigonometric Integrals
7.3 Trigonometric Substitution
7.4 Integration of Rational Functions by Partial Fractions
7.5 Strategy for Integration (can be covered in discussion sections)
7.7 Approximate Integration
7.8 Improper Integrals

Chapter 8 (2-3 lectures)

8.1 Arc Length
8.2 Area of a Surface of Revolution
8.3 Applications to physics and engineering

Chapter 11 (11 lectures)

11.1 Sequences
11.2 Series
11.3 The Integral Test and Estimates of Sums
11.4 The Comparison Tests
11.5 Alternating Series
11.6 Absolute Convergence and the Ratio and Root Tests
11.7 Strategy for Testing Series (can be covered in discussion sections)
11.8 Power Series
11.9 Representation of Functions by Power Series
11.10 Taylor and Maclaurin Series (2 lectures)
11.11 Applications of Taylor Polynomials

Chapter 10 (4-5 lectures)

10.1 Curves Defined by Parametric Equations
10.2 Calculus with Parametric Curves
10.3 Polar Coordinates
10.4 Areas and Lengths in Polar Coordinates

Hour Exams (3 class periods)

Leeway (1-2 class periods)

A reasonable choice for the material for each hour exam is the first exam after Chapter 7, the second exam after Section 11.4, and the third exam after Section 11.11 or 10.2. Chapter 11 contains too much material for one exam.

Revised January 10, 2011; approved by Scott Ahlgren.