COURSE NUMBER AND TITLE: MATH 2012 Calculus and Analytic Geometry II

CREDIT HOURS: 4

CATALOG DESCRIPTION: A continuation of calculus including applications of integration, techniques of integration, improper integrals, sequences, series, and polar coordinates.

PREREQUISITE(S): Math 2011 (grade of C or better) or advanced placement.

SUGGESTED TEXT(S):
Calculus, by Salas, Hille, Etgen
Calculus, by Rogawski
Essential Calculus, by Stewart

COURSE OUTLINE:

1. Techniques of Integration
   • Integration by Parts
   • Integration of Powers and Products of Trigonometric Functions
   • Integration using Partial Fractions
   • Numerical Integration
2. Applications of the Integral
   • Area
   • Volume by Parallel Cross-Sections; Discs and Washers; the Shell Method
   • The Centroid of a Region; Center of Mass
   • Work
3. Conic Sections; Polar Coordinates; Parametric Equations
   • Parabolas, Ellipses, and Hyperbolas
   • Polar Coordinates
   • Parametric Equations of Curves
   • Arc Length
   • The Area of a Surface of Revolution
4. Infinite Series
   • The Integral Test; the Comparison Test; the Root Test; the Ratio Test
   • Absolute and Conditional Convergence; Alternating Series
   • Taylor Series; Power Series
   • Binomial Series