## Math 231. Calculus II

Lecture Syllabus

**Textbook: Stewart, Calculus: Early Transcendentals,
8th 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; 5/23/17; approved by Scott Ahlgren.