Course Outline

Review updated Sept.16

Answers to review

Piecewise Defined Functions

Answers to Review

Intro to Limits & Continuity

Intro to Limits Continued ...

Special Limits

Tangent Line Problem

2-3 Tangent Line Problem

**Limits Assignment and Limit Def of Derivative Assignment:**

p.133: 3,16,19,40,41,43,(59).

p.146: 3,5,7,9,11-23}odd,37,39,41.

p.163: 3-27}odd

**Note:**I will provide the graph for 9b, don't do 11b.

**Also:**15 uses an alternate form of the limit definition - we will cover this after the test.

p.173: 3,4,5-15}odd,21-31}odd

Limits and Continuity - extra practice. Questions concerning differentiability will not be on the quiz.

The Limit Definition 1-3

The Limit Definition 2-3

Graph for p.163 9b

p.163 15 & 17

Limits & Continuity Quiz 1-3

Limits & Continuity Quiz 2-3

**Test Outline**

- Part I = last Quiz
- Part II = The Limit Definition:
- quadratic
- Rational?
- Equation of Tangent Line
- Sketch Derivative from graph of f(x)

Power Rule 1-3

Power Rule 2-3

**Derivative Rules Problem Set:**

p.191: {3-15,19-29}odd, 45,47,51.

p.197: 2,7-13}odd 17,23,31,35

p.216: 1,3,5,9,13,21,23,35

p.224:1,3,7,9,11,13,17,19,25,27,29,55,57,67.

p.233: 1-13}odd 17,21,23,25,27,29,55,59,63.

Differentiation Rules Practice P.Set Problems

The Chain Rule Examples

Implicit Differentiation - Examples

2-3 Implicit Differentiation Examples

Implicit Differentiation: Problem Set examples

Deriv. Laws Quiz 2-3

Deriv. Laws Quiz 1-3

Graphing

Graphing

Graphing

Cubic

Slant Asymptote

**Graphing and Derivatives of Exponentials & Logs Problem Set:**

__Exponentials & Logs:__

p.197: 3,5,12,15,25.

p.224: 31 p. 233: 15

p.249: 3-23}odd

__Graphing:__

p.323: 1-29}odd.

(Note: we will need to discuss 27. To correct your notes, I need to go over with you why points at which the first derivative is undefined should be considered to be critical points for the purposes of constructing your table or number line. If the function is defined at the point but the first derivative is undefined, the tangent is vertical - points where this occurs will be inflection points.)

Intro to Related Rates 2-3

Intro to Related Rates 1-3 (Ms. Moore)

1-3 RR Continued...

2-3 RR Continued...

Logs & RR

More RR & Logs

Intro to Optimization

More Optimization

Opt. & RR

RR & Opt

Deriv. of arcsin,cos,tan

MVT & RT 1-3

MVT & RT 2-3

Assigned problems...

Related Rates and Optimization - Problem Set File

**Introduction to Integrals**

Riemann Sums & the MVT Worksheet

RS & MVT notes

Intro to u-substitution

1-3 Volumes of Revolution

2-3 Vols of Rev Continued...

Intro to Differential Equations

2-3 Intro to Diff Eq's

2-3 DEq's Continued

1-3 DE's Continued...

Some topics that have come up with the practice exams

Some MC Solutions (PE1)

Review for optional Celebration #3

Answers to optional review.