| Mon 29 Aug |
1.1 |
Functions and Graphs |
13,15,49,51,67 |
| Wed 31 Aug |
1.2 |
Linear and Quadratic Graphs |
21, 25,
29, 31, 33,
37, 39 |
| Thu 1 Sep |
1.3 |
Basic Functions: Polynomials,
Rational |
6,7,8,11, 19,
25, 27,28,30 |
|
|
Functions, Composition of Functions |
|
| Mon 5 Sep |
|
No class |
|
| Wed 7 Sep |
1.4 |
Trigonometric Functions: sin(x),
cos(x), |
3, 7,
19, 21 |
|
|
tan(x). Definitions of sec(x),
csc(x), |
|
|
|
cot(x) |
|
| Thu 8 Sep |
1.4 |
Trigonometric Identities: Pythagorean |
23, 24,
27, 38, 41, 45 |
|
|
identity, addition formula,
double-angle. |
|
|
|
Law of cosines |
|
| Mon 12 Sep |
1.5 |
Inverse Functions |
3, 17,
31, 33, 39,
43, 49 |
| Wed 14 Sep |
1.6 |
Exponential and Logarithmic Functions |
1, 3, 7,
9, 25, 27, 29,
35 |
| Thu 15 Sep |
2.1 |
Limits and rates of change |
1, 3,
7, 8, 15,
23, 29 |
|
2.2 |
Limits: Numerical and graphical |
5, 8, 21,
23, 25, 27,
31, 37, 38 |
| Mon 19 Sep |
2.3 |
Limit laws |
13, 15, 17, 19, 21, 25,
27 |
|
2.4 |
Continuity |
1, 3, 5, 7, 19,
23, 25, 27, 67, 73, 77 |
| Wed 21 Sep |
2.5 |
Evaluating limits algebraically |
1, 9, 15, 19, 25, 27, 39, 47, 49,
51 |
|
2.6 |
Trigonometric limits |
7, 9, 13, 23, 24,25, 27, 35,
41 |
| Thu 22 Sep |
2.7 |
Intermediate Value Theorem |
1, 3, 5 |
|
2.8 |
Formal definition of a limit |
1, 3, 5 |
| Mon 26 Sep |
|
Review |
|
| Wed 28 Sep |
|
No class |
|
| Thu 29 Sep |
|
No class |
|
| Mon 3 Oct |
|
Exam
1 |
|
| Wed 5 Oct |
3.1 |
Definition of the derivative |
1, 3, 5, 7, 11, 13, 53, 55,
57 |
| Thu 6 Oct |
3.2 |
Derivative as a function |
1, 3, 11, 12, 24, 27, 39, 55,
57 |
| Mon 10 Oct |
|
No class |
|
| Wed 12 Oct |
3.3 |
Product and quotient rules |
13, 14, 23, 31, 35,
53 |
| Thu 13 Oct |
3.4 |
Rates of change |
5, 7, 9, 11, 13,
15, 20, 31, 33, 35 |
| Mon 17 Oct |
3.5 |
Higher derivatives |
17, 19, 29, 53 |
|
3.6 |
Trigonometric functions |
9, 15, 17, 21, 33,
43 |
| Wed 19 Oct |
3.7 |
Chain rule |
3, 5, 6, 7, 19, 35, 39,
77 |
| Thu 20 Oct |
3.8 |
Implicit differentiation |
1, 2, 5, 11, 17, 31,
41, 43 |
| Mon 24 Oct |
3.9 |
Derivatives of inverse functions |
3, 7, 9, 11, 13, 15, 23,
27 |
|
3.10 |
Derivatives of exponentials and logs |
1, 7, 9, 17, 27, 35,
37 |
| Wed 26 Oct |
3.11 |
Related rates |
3, 5, 9, 15, 17, 21, 25,
27, 29, 31 |
| Thu 27 Oct |
|
Review |
|
| Mon 31 Oct |
|
Exam
2 |
|
| Wed 2 Nov |
4.1 |
Linear approximation |
9, 13, 15, 19, 25, 41, 45,
49 |
| Thu 3 Nov |
4.2 |
Extreme values |
1, 7, 11, 15, 39, 47, 53,
65 |
| Mon 7 Nov |
4.3 |
First derivative test |
1, 13, 15, 16, 21, 29, 33, 35, 39,
51 |
| Wed 9 Nov |
4.4 |
Second derivative test |
1, 2, 4, 5, 9, 13, 17, 29, 33, 43,
45 |
| Thu 10 Nov |
4.5 |
Graph sketching and asymptotes |
1, 5, 11, 15, 21, 29, 49,
53, 57, 63, 65, 67, 73, 75, 77 |
| Mon 14 Nov |
4.6 |
Optimization |
1, 5, 9, 11, 13, 15, 19,
21, 22, 41, 43, 47 |
| Wed 16 Nov |
4.7 |
L’Hopital’s Rule |
11, 13, 27, 31, 33, 35, 43, 45,
47, 61 |
|
4.8 |
Newton’s method (optional) |
Matlab Project |
| Thu 17 Nov |
|
Review |
|
| Mon 21 Nov |
|
Exam
3 |
|
| Tue 22 Nov |
4.9 |
Antiderivatives |
7, 8, 25, 27, 33, 43, 45, 47, 65,
67, 69, 75 |
| Wed 23 Nov |
5.1 |
Approximating area |
2, 3, 13, 15, 17, 21, 23,
27, 57 |
| Thu 24 Nov |
|
No class |
|
| Mon 28 Nov |
5.2 |
Definite integral |
3, 7, 9, 13, 17,
29, 37, 57, 83 |
| Wed 30 Nov |
5.3 |
Fundamental Theorem of Calculus I |
9, 17, 23, 27, 37, 43, 45,
51, 55, 57 |
| Thu 1 Dec |
5.4 |
Fundamental Theorem of Calculus II |
5, 15, 21, 23, 25,
31, 33, 37, 39, 43 |
| Mon 5 Dec |
5.5 |
Net change (optional) |
1, 3, 5, 7, 11, 13,
17 |
| Wed 7 Dec |
5.6 |
Integration by substitution |
33, 35, 37, 39, 43, 47, 51, 67,
69, 73, 75, 85, 91 |
| Thu 8 Dec |
5.7 |
Integration of transcendental
functions |
3, 7, 13, 17, 27, 33, 43, 47,
57 |
|
5.8 |
Exponential growth & decay
(optional) |
1, 5, 9, 11, 17, 23, 33,
41 |
| Mon 12 Dec |
|
Review |
|
| Wed 14 Dec |
|
Review |
|
| Thu 15 Dec |
|
Final
Exam |
|