Courant Institute New York University FAS CAS GSAS

Calendar for Calculus I, Spring 2010

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Author: Matthew Leingang and the Mathematics Department
Date: February 02, 2010

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

Week Dates Section Topics
1 1/18–1/21 1.1 Functions and their Representations
1.2 A catalog of essential functions
2 1/25–1/28 1.3 The limit of a function
1.4 Calculating Limits
3 2/1–2/4 1.5 Continuity
1.6 Limits involving Infinity
4 2/8–2/11 2.1 Derivatives and rates of change
2.2 The derivative as a function
2.3 Basic differentiation rules
5 2/15–2/18 2.4 The product and quotient rules
2.5 The chain rule
6 2/22–2/25 2.6 Implicit differentiation
2.8 Linear approximations and differentials
7 3/1–3/4 3.1 Exponential functions
3.2 Inverse functions and logarithms
3.3 Derivatives of Logarithmic and Exponential Functions
Midterm
8 3/8–3/11 3.4 Exponential growth and decay
3.5 Inverse trigonometric functions
SB 3/15–3/19 Spring Break
9 3/22–3/25 4.1 Maximum and Minimum Values
4.2 The Mean Value Theorem
10 3/29–4/1 4.3 Derivatives and the shapes of curves
4.4 Curve sketching
11 4/5–4/8 4.5 Optimization problems
4.7 Antiderivatives
12 4/12–4/15 5.1 Areas and distances
5.2 The definite integral
13 4/19–4/22 5.3 Evaluating definite integrals
5.4 The Fundamental Theorem of Calculus
14 4/26–4/29 5.5 The Substitution Rule
Catch up and Review (TR sections)
15 5/3 Catch up and Review (MW sections)
16 5/10 Final Exam: 12:00-1:50pm