Math 112

 

Calculus
FALL 2006

 

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General Information

Instructor Office hours 

 

Problem Sets

Problem Set 1 – Due Sept 14

Problem Set 2 – Due Sept 21

Problem Set 3 – Due Sept 28

Problem Set 4 – Due Oct 6 @ 4pm

Problem Set 5 – Duce Oct 20 @ 4pm (Solutions)

Problem Set 6 – Due Oct 31 @ 8:30 am

Problem Set 7 – Due Nov 6. @ 8:30 am

Problem Set 8 – Due Nov 29 @ 8:30 am

 

Lecture Schedule

 

Week 

Topic

Chapter

1

Course Overview

n/a

1-2

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

3-4

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