Courant Institute New York University FAS CAS GSAS

Calendar for Calculus I, Spring 2009

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Author: Matthew Leingang <leingang@cims.nyu.edu>
Date: 2009-05-05

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

Week Dates Section Topics
1 1/20-1/23 1.1 Functions and their Representations
1.2 A catalog of essential functions
2 1/26-1/30 1.3 The limit of a function
1.4 Calculating Limits
3 2/2-2/6 1.5 Continuity
1.6 Limits involving Infinity
4 2/9-2/13 2.1 Derivatives and rates of change
2.2 The derivative as a function
2.3 Basic differentiation rules
5 2/16-2/20 2.4 The product and quotient rules
2.5 The chain rule (TR) [1]
6 2/23-2/27 2.5 The chain rule (MW)
2.6 Implicit differentiation
2.8 Linear approximations and differentials (TR)
7 3/2-3/5 2.8 Linear approximations and differentials (MW)
3.1 Exponential functions (TR)
Midterm
8 3/9-3/13 3.1 Exponential functions (MW)
3.2 Inverse functions and logarithms
3.3 Derivatives of Logarithmic and Exponential Functions
3.5 Inverse trigonometric functions
SB 3/16-3/20 Spring Break (no classes)
9 3/23-3/27 4.1 Maximum and Minimum Values
4.2 The Mean Value Theorem
4.3 Derivatives and the shapes of curves
10 3/30-4/3 4.4 Curve sketching
11 4/6-4/10 4.5 Optimization problems
12 4/13-4/17 5.1 Areas and distances
5.2 The definite integral
13 4/20-4/24 5.3 Evaluating definite integrals
5.4 The Fundamental Theorem of Calculus
14 4/27-5/1 5.5 The Substitution Rule
15 5/4 Catch up and Review (MW only)
F 5/8 Final Exam: 2:00-3:50pm
[1]No classes meet on February 16 (Presidents' Day). So the MW and TR schedules are out of sync for a few weeks.