Courant Institute New York University FAS CAS GSAS

Calendar for Calculus I, SPRING 2011

Coordinator: Kiryl Tsishchanka
Term: Spring 2011
Date: November 12, 2010

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

Week Dates Section Topics
1 1/24–1/27 1.1 Functions and their Representations
1.2 A catalog of essential functions
2 1/31–2/3 1.3 The limit of a function
1.4 Calculating Limits
3 2/7–2/10 1.5 Continuity
1.6 Limits involving Infinity
4 2/14–2/17 2.1 Derivatives and rates of change
2.2 The derivative as a function
5 2/22–2/24 2.3 Basic differentiation formulas
2.4
The product and quotient rules
2.5 The chain rule
6
2/28–3/3 2.6 Implicit differentiation
2.8 Linear approximations and differentials
7 3/7–3/10 Midterm Exam
3.1 Exponential functions
3.2 Inverse functions and logarithms
8 3/21–3/24 3.3 Derivatives of Logarithmic and Exponential Functions
3.4 Exponential growth and decay
9 3/28–3/31 3.5 Inverse trigonometric functions
3.7 Indterminate forms and L'Hôpital's Rule
10 4/4–4/7 4.1 Maximum and Minimum Values
4.2 The Mean Value Theorem
11 4/11–4/14 4.3 Derivatives and the shapes of curves
4.4 Curve sketching
12 4/18–4/21 4.5 Optimization problems
4.7
Antiderivatives
13
4/25–4/28 5.1 Areas and distances
5.2 The definite integral
5.3
Evaluating definite integrals
14 5/2–5/5 5.4 The Fundamental Theorem of Calculus
5.5 The Substitution Rule
15
5/9 Catch up and Review (if time permits)
F 5/12 Final Exam: 2:00-3:50pm