Math 3
Calculus
Last updated August 22, 2023 15:34:42 EDT

## Syllabus

The following is a tentative syllabus for the course. This page will be updated irregularly.
On the other hand, the weekly syllabus contained in the Homework Assignments page will always be accurate.

Lectures Sections in Text Brief Description
9/11 Chap 1 & 2.1 Review of functions (especially exponential). Introduction to tangent lines and velocity
9/13 2.2 and 2.3 Limits and limit laws
9/15 2.3 and 2.4 More on limits and the precise definition of a limit
9/18 2.5 Continuity and a review of trig functions
9/20 2.5 and 2.6 Continuity, limts at infinity, and asymptotes
9/22 2.7 and 2.8 Rates of change, the derivative, and the derivative as a function
9/25 3.1 Dervatives of polynomials and exponential functions
9/27 3.2 The product and quotient rules
9/29 3.3 The derivatives of trig functions
10/2 3.4 The chain rule
10/3   Preliminary Exam
10/4 3.5 Implicit differentiation
10/6 3.6 and 3.7 The derivative of logarithmic functions and applications to rates of change
10/9 3.8 Exponential growth and decay
10/11 3.9 Related rates
10/13 3.10 and 3.11 Linear approximation and hyperbolic functions
10/16 4.1 Maximums and minimums
10/18 4.2 and 4.3 The Mean Value Theorem and the shape of graphs
10/20 4.3 The derivative and the shape of graphs
10/23 4.4 Indeterminate forms and L'Hospital's rule
10/25 4.5 Curve sketching
10/26   Midterm Exam
10/27 4.7 Optimization
10/30 4.8 and 4.9 Newton's method and antiderivatives
11/1 5.1 Areas and distances
11/3 5.2 The definite integral
11/6 5.3 The Fundamental Theorem of Calculus
11/8 5.4 Indefinite integrals and the net change theorem
11/10 5.5 Substitution
11/13 7.1 Integration by parts
11/17   Final Exam

Dana P. Williams
Last updated August 22, 2023 15:34:42 EDT