Courant Institute New York University FAS CAS GSAS

Calendar for Calculus I, Fall 2010

Coordinator: Kiryl Tsishchanka
Term: Fall 2010
Date: August 24, 2010

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

Week Dates Section Topics
1 9/7–9/9 1.1 Functions and their Representations
1.2 A catalog of essential functions
2 9/13–9/16 1.3 The limit of a function
1.4 Calculating Limits
3 9/20–9/23 1.5 Continuity
1.6 Limits involving Infinity
4 9/27–9/30 2.1 Derivatives and rates of change
2.2 The derivative as a function
5 10/4–10/7 2.3 Basic differentiation formulas
2.4
The product and quotient rules
2.5 The chain rule
6
10/11–10/14 2.6 Implicit differentiation
2.8 Linear approximations and differentials
7 10/18–10/21 Midterm Exam
3.1 Exponential functions
3.2 Inverse functions and logarithms
8 10/25–10/28 3.3 Derivatives of Logarithmic and Exponential Functions
3.4 Exponential growth and decay
9 11/1–11/4 3.5 Inverse trigonometric functions
3.7 Indterminate forms and L'Hôpital's Rule
10 11/8–11/11 4.1 Maximum and Minimum Values
4.2 The Mean Value Theorem
11 11/15–11/18 4.3 Derivatives and the shapes of curves
4.4 Curve sketching
12 11/22–11/24 4.5 Optimization problems
13 11/29–12/2 4.7 Antiderivatives
5.1 Areas and distances
5.2 The definite integral
14 12/6–12/9 5.3 Evaluating definite integrals
5.4 The Fundamental Theorem of Calculus
15
12/13–12/15 5.5
The Substitution Rule
Catch up and Review (if time permits)
F 12/20 Final Exam: 12:00-1:50pm