## Math 141

### Calculus with Analytic Geometry II

**4 credits**

**Blue Book Description:** Derivatives, integrals, applications; sequences and series; analytic geometry; polar coordinates. Students many take only one course for credit from MATH 141 and 141B.

**Pre-requisites:** MATH 140, 140A, or 140B

**Pre-requisite for:** MATH 230, MATH 231, MATH 250, MATH 251, MATH 311W, MATH 312

**Suggested Textbook:**

Single Variable Calculus: Early Transcendentals, Vol 2, 7th edition, by James Stewart, published by Brookes/Cole Centage Learning*Check with your instructor to make sure this is the textbook used for your section.*

**Topics:**

Chapter 7: Techniques of Integration

7.1 Integration by Parts

7.2 Trigonometric Integrals

7.3 Trigonometric Substitution

7.4 Integration of Rational Functions by Partial Fractions

7.5 Strategy for Integration

7.7 Approximate Integration

7.8 Improper Integrals

Chapter 11: Infinite Sequences and Series

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

11.8 Power Series

11.9 Representations of Functions as Power Series

11.10 Taylor and Maclaurin Series

11.11 Applications of Taylor Polynomials (optional)

Chapter 10: Parametric Equations and Polar Coordinates

10.1 Curves Defined by Parametric Equations

10.2 Calculus with Parametric Curves (Surface Area is Optional)

10.3 Polar Coordinates

10.4 Areas and Length in Polar Coordinates