Course Description: Math 1272, Calculus II

Overview: Techniques of integration, including integration by parts, simple trig substitutions, partial fractions. Basic numerical integration; improper integrals; arc length; area of surface of revolution. Separable differential equations, Euler's method, exponential growth and decay. Parametric curves and polar coordinates. Review of conic sections. Sequences and series, comparison and ratio tests, Taylor series and polynomials. Vectors in three dimensions, dot product, cross product; lines, planes, cylinders, quadric surfaces; cylindrical and spherical coordinates. 4 credits. 3 lectures, 2 recitations per week.

Prerequisite: C- in Math 1271.

Audience: Part of the standard calculus course for students outside of IT.

Text:

Stewart, Calculus, Early Transcendentals, 5^th edition.

Coverage:

Chapter 7, omitting 7.6	9 lectures
Chapter 8, omitting 8.4 and 8.5	3 lectures
Chapter 9, omitting 9.5-9.7	4 lectures
Chapter 10, omitting 10.6	7 lectures
Chapter 11, omitting 11.5, 11.7, and 11.11	11 lectures
Chapter 12	8 lectures
Total	42 lectures

Class pacing may vary depending on term length. Check the class syllabus for details.