Honors Calculus I
MAC 2311, Fall 2007

 

Text: Calculus: Single Variable, 4th edition, Hughes-Hallett, Gleason, et al., John Wiley & Sons.
 

Date

Topic

Sections

Assignment (to be completed before next class)

M

Aug 27

Functions and Change

1.1

1-33 odd, 28, 34, 36

W

Aug 29                      

Exponential Functions

New Functions from Old

1.2,1.3

1.2:  1-31odd, 35, 39
1.3:  1-15 odd, 21-24, 25-53 odd, 54

F

Aug 31

Logarithms

1.4

All odd problems

M

Sept 3

Labor Day, no class

 

 

W

Sept 5

Trig functions
Polynomials and rational functions

1.5, 1.6

1.5:  All odd problems
1.6:  1-13 odd, 14, 16, 20-23, 25, 28, 29

F

Sept 7

Introduction to Continuity, IVT

1.7

1.7:  1-19 odd

M

Sept 10

Limits and more on IVT

1.8

1, 3, 5, 11, 13, 17, 19, 21, 29, 31-43 odd, 48

W

Sept 12

Speed and the Derivative

 2.1, 2.2

2.1:  All odd problems
2.2:  1, 3, 5, 7, 11-15, 17, 21, 27, 29, 33-41 odd

F

Sept 14

Catch up & Review

 

Ch 1:  1-33 odd, 34, 35-49odd, 50, 52; CYU alt odds

M

Sept 17

TEST 1

 

 

W

Sept 19

Derivative function

2.3

1-9 odd, 10, 13, 15, 21-35 odd, 36-38, 41-43

F

Sept 21

Interpretations of derivatives, Second Derivative

2.4, 2.5

2.4:  1-10, 11, 13, 15, 17, 19
2.5:  All odd problems

M

Sept 24

Differentiability

2.6

1, 3, 8, 9-17odd

W

Sept 26

Differentiating polynomials

3.1

3-43 odd, 51, 53, 57-69 odd

F

Sept 28

Differentiating exponentials

3.2

1-43 odd, 51-53

M

Oct 1

Product and Quotient Rules

3.3

1-41 odd

W

Oct 3

Chain Rule

3.4

1-63 odd, 71, 79, 81

F

Oct 5

Catch up & Review

 

Ch 2:  1-11 odd, 15, 17-19, 23, 25, 28, 31; CYU alt odds
Ch 3:  1, 5, 9, 17, 31, 33, 35, 37, 41, 49, 51, 53, 58, 72, 73, 83, 94, 95, 99, 102

M

Oct 8

TEST 2

 

 

W

Oct 10

Trig Functions

3.5

3-47 odd

F

Oct 12

More on the Chain Rule

3.6

1-45 odd, 51, 53, 58, 59

M

Oct 15

Implicit Functions

3.7

1-29 odd

W

Oct 17

Linear Approximation , Theorems on Differentiability

3.9, 3.10

3.9:  1, 3, 5, 9, 11, 18, 25
3.10:  1-9

F

Oct 19

Gateway Test

 

 

M

Oct 22

Derivatives and Concavity

4.1

1-27 odd, 31-45 odd

W

Oct 24

Optimization

4.3

1-21 odd, 27, 33, 35

F

Oct 26

More on optimization

4.5

1-13 odd, 16-21, 25, 27, 29, 34

M

Oct 29

Rates and Related Rates

4.6

1, 2, 4, 6, 9-11, 13-19 odd, 24, 27, Handout

W

Oct 31

L’Hopital’s Rule

4.7

1-17odd, 21-29 odd

F

Nov 2

Catch up & Review

 

Ch 3:  84, 85, 89, 98, 101; CYU alt odds
Ch 4:  1-21 odd, 22, 25, 27, 29, 35, 37, 45, 51, 54; CYU alt odds

M

Nov 5

TEST 3

 

 

W

Nov 7

Distance and the Definite Integral

5.1

1, 3, 5, 7, 8, 9, 11, 13, 15, 16, 17-25 odd

F

Nov 9

Distance and the Definite Integral

5.2

1, 5, 7, 13, 15, 17, 19, 21, 27, 29

M

Nov 12

Veteran’s Day, no class

 

 

W

Nov 14

1st Fundamental Theorem of Calculus

5.3

1-7, 9, 11, 15, 17, 23, 24, 29, 30, 34

F

Nov 16

Theorems about integrals

5.4

1-27 odd, 31, 35-39, 42

M

Nov 19

Antiderivatives

6.1

1, 3, 5, 7-13, 15, 27, 19, 23

W

Nov 21

Antiderivatives

Differential Equations

  6.2, 6.3

6.2:  All odd problems

F

Nov 23

Thanksgiving Break, no class

 

 

M

Nov 26

Differential Equations

2nd Fundamental Theorem of Calculus

6.3, 6.4

 6.3:  All odd problems
 6.4:  1, 3, 5, 6, 9, 11, 15-27 odd

W

Nov 28

Equations of Motion

6.5

 1-7 odd

F

Nov 30

Catch up & Review

 

Ch 5:  1-11 odd, 21, 27, 29, 31, 33, 35, 38, 43, 44, 46, 47; CYU alt odds
Ch 6:  1-51 odd

M

Dec 3

TEST 4

 

 

W

Dec 5

Review

 

 

Su

Dec 9

FINAL EXAM, 4:00 – 6:30 p.m.