Lecture Schedule
Week

Topic

Chapter

1

Course Overview

n/a

12

Chapter 1: Math
Review
Key
concepts:
Functions as
building blocks (trig, ln, exp, polynomial)
a function of a function is a function

1

2

Limits:
Numerical, one sided, infinite,
vertical asymptotes, Limit laws
Key Concept:
Behavior of a
function NEAR a point…

2.2, 2.3

34

Limits: Squeeze
Theorem, Continuity, Limits at infinity; Horizontal asymptotes

2.3, 2.5, 2.6

4

Tangents, rates
of Change, Derivative

2.1, 2.7, 2.8

5

Derivative of a point,
derivative as a function

2.8,2.9

5

Derivative of
exponentials

3.1

6

Product Quotient
rules/ Midterm (Tentative)

3.2

7

Applications,
derivatives of trig functions

3.3, 3.4

8

Composite functions,
chain rule, implicit diff

3.5, 3.6

9

Higher
derivatives, log functions, inv trig

3.7, 3.8

Nov 7
(tentative)

Midterm 2:
Differentiation rules


10

Application:
Related rates

3.10

11

Taylor series, Critical points

3.11, 4.1

12

Application, Mean
Value Thm, Graphing

4.2, 4.3

13

Curve
Sketching, Indeterminate forms


14

Optimization


