Courant Institute New York University FAS CAS GSAS

Calendar for Calculus II, Spring 2010

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Author: Matthew Leingang and the Mathematics Department
Date: March 09, 2010

This is a week-by-week calendar of topics covered in Calculus II.

Week Dates Section Topics
1 1/18–1/21 5.1 Areas and Distances
5.2 The definite integral
5.3 Evaluating definite integrals
5.5 The Substitution Rule
2 1/25–1/28 6.1 Integration by parts
6.2 Trigonometric Integrals and Substitution
3 2/1–2/4 6.3 Integration by Partial Fraction Decomposition
6.4 Integration with tables and Computer Algebra Systems
4 2/8–2/11 6.5 Approximate Integration
6.6 Improper Integrals
5 2/15–2/18 7.1 Areas between Curves
7.2 Volumes
6 2/22–2/25 7.3 Volumes by Cylindrical Shells
7.4 Arc length
7 3/1–3/4 7.5 Applications of Integration
Midterm
8 3/8–3/11 7.6 Differential Equations
SB 3/15–3/19 Spring Break
9 3/22–3/25 8.1 Sequences
8.2 Series
10 3/29–4/1 8.3 The integral and comparison tests
8.4 Other convergence tests
11 4/5–4/8 8.5 Power Series
8.6 Representing Functions as Power Series
12 4/12–4/15 8.7 Taylor and Maclaurin series
8.8 Applications of Taylor Polynomials
13 4/19–4/22 9.1 Parametric Curves
9.2 Calculus with parametric curves
14 4/26–4/29 9.3 Polar Coordinates
9.4 Areas and lengths in Polar Coordinates
15 5/3 Catch up and Review (MW sections)
16 5/10 Final Exam: 12:00–1:50pm