Courant Institute New York University FAS CAS GSAS

Calendar for Calculus II, Spring 2009

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Author: Matthew Leingang <leingang@cims.nyu.edu>
Date: March 12, 2009

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

Week Dates Section Topics
1 1/20–1/24 5.1 Areas and Distances
5.2 The definite integral
5.3 Evaluating definite integrals
5.5 The Substitution Rule
2 1/27–1/31 6.1 Integration by parts
6.2 Trigonometric Integrals and Substitution
3 2/2–2/6 6.3 Integration by Partial Fraction Decomposition
6.4 Integration with tables and Computer Algebra Systems
4 2/9–2/13 6.5 Approximate Integration
6.6 Improper Integrals
5 2/16–2/20 7.1 Areas between Curves
7.2 Volumes
6 2/23–2/27 7.3 Volumes by Cylindrical Shells
7.4 Arc length
7.5 Applications of Integration
7 3/2–3/6 7.5 Applications of Integration
Midterm
8 3/9–3/13 7.6 Differential Equations
SB 3/16–3/20 Spring Break
9 3/23–3/27 8.1 Sequences
8.2 Series
10 3/30–4/3 8.3 The integral and comparison tests
8.4 Other convergence tests
11 4/6–4/10 8.5 Power Series
8.6 Representing Functions as Power Series
12 4/13–4/17 8.7 Taylor and Maclaurin series
8.8 Applications of Taylor Polynomials
13 4/20–4/24 9.1 Parametric Curves
9.2 Calculus with parametric curves
14 4/27–4/31 9.3 Polar Coordinates
9.4 Areas and lengths in Polar Coordinates
15 5/4 Catch up and Review (MW only)
F 5/8 Final Exam: 2:00-3:50pm