Sec.  slides

PowerPoint

Topics

2.1

Rates of Change and Tangents to Curves

2.2

Limit of a Function and Limit Laws

2.3

The Precise Definition of a Limit (Up to the end of Example 4)

2.4

One-Sided Limits

2.5

Continuity

2.6 

Limits Involving infinity; Asymptotes of Graphs

3.1

Tangents and the Derivative at a point

3.2

The Derivative as a function

3.3

Differentiation Rules

3.4

The Derivative as a Rate of Change

3.5

Derivatives of Trigonometric Functions

3.6

The Chain Rule

3.7

Implicit Differentiation

3.8

Derivatives of Inverse Functions and Logarithms

3.9

Inverse Trigonometric Functions

3.10

Related Rates

3.11

Linearization and Differentials

4.1

Extreme Values of Functions

4.2

The Mean Value Theorem

4.3

Monotonic Functions and the first Derivative Test

4.4(part1) (part2)

Concavity and Curve Sketching

4.5

Indeterminate Forms and L’ Hospital’s Rule

4.6

Applied Optimization

4.7

Newton’s Method

4.8

Antiderivatives

5.1

Area and Estimating With Finite Sum

5.2

Sigma Notation and Limits of Finite Sums