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