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 |
|
F |
Aug 31 |
Logarithms |
1.4 |
All odd problems |
|
M |
Sept 3 |
Labor
Day, no class |
|
|
|
W |
Sept 5 |
Trig functions |
1.5, 1.6 |
1.5: All odd
problems |
|
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 |
|
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 |
|
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 |
|
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 |
|
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 |
|
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 |
|
|
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 |
|
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 |
|
M |
Dec 3 |
TEST 4
|
|
|
|
W |
Dec 5 |
Review |
|
|
|
Su |
Dec 9 |
FINAL EXAM, |
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