Prelims are in class and those dates are firm. Homework assignments might be modified, with some new problems being added, or others deleted. Topics include differentiation and integration of elementary transcendental functions, techniques of integration, applications, polar coordinates, infinite series, and complex numbers, as well as an introduction to proving theorems.
Lectures TR, section F. Homework due in Lecture on Tuesdays, except as noted in the schedule below.
| Weak | Day | Topics | Homework due | Problems assigned |
|---|---|---|---|---|
| 1 | R 09/29 | 1.1 Inequalities 1.2 Numbers and least upper bound |
09/03 | 1.2, 1.5, 1.7, 1.8, 1.12, 1.15, 1.16, 1.19, 1.21, 1.23, 1.24 |
| 2 | T 09/30 R 09/05 |
1.3a and 1.3b Sequences and their limits 1.3b (continued) Sequences and series | 09/10 | 1.25, 1.26, 1.29, 1.32, 1.33, 1.37, 1.39, 1.42, 1.43, 1.44, 1.47 |
| 3 | T 09/10 R 09/12 |
1.3c, Nested intervals, 1.3d Cauchy sequences, 1.4 The number e 2.1, 2.2 Functions, continuity | 09/17 | 1.46, 1.48, 1.50, 1.51, 1.52, 1.54, 2.1, 2.2, 2.7, 2.11(extra credit), 2.14, 2.15, 2.16 2.17 |
| 4 | T 09/17 R 09/19 |
2.3-2.5 review functions and properties 2.6 Sequences of functions and their limits |
09/24 | 2.23, 2.25, 2.30, 2.40, 2.41, 2.57, 2.59, 2.61, 2.62, 2.63, 2.64, 2.70, 2.71 |
| 5 | T 09/24 R 09/26 |
3.1-3.5 review derivatives, diff eqs 4.1-4.3 Linear, quad. approx. and Taylor's theorem |
Friday 09/27 | 3.6, 3.9, 3.10, 3.44, 3.56, 3.57, 3.67, 3.69, 3.70 |
| 6 | T 10/01 R 10/03 |
In class prelim through 3.5 4.3 Taylor's Theorem (continued), 4.4 Approximating derivatives |
10/08 | 4.17, 4.18, 4.32, 4.37, 4.42, 4.43, 4.45, 4.46, 4.58, 4.60, 4.61 |
| 7 | T 10/08 R 10/10 |
6.1 Examples of integrals, 6.2 Definite integral 6.3 Fundamental theorem of calculus |
Friday 10/11 | 6.1, 6.3, 6.4, 6.7, 6.8, 6.9, 6.11 |
| 8 | T 10/15 R 10/17 |
Fall break 6.4 Applications of integrals |
10/22 | 6.15, 6.16, 6.18, 6.21, 6.26, 6.27, 6.27, 6.28, 6.30, 6.31, 6.32 |
| 9 | T 10/22 R 10/24 |
7.1 Integration by parts 7.2 Change of variables in an integral |
10/29 | TBA |
| 10 | T 10/29 R 10/31 |
7.3 Improper integrals 7.4 Further properties of integrals |
Friday 12/01 | TBA |
| 11 | T 11/05 R 11/07 |
Prelim 2 in class covers through 7.3 9.1 Complex numbers |
11/12 | TBA |
| 12 | T 11/12 R 11/14 |
9.2 Complex functions 9.2 continued |
11/19 | TBA |
| 13 | T 11/19 R 11/21 |
8.1 Approximation of integrals, 8.2 Simpsons rule 10.1 Differential equations |
11/26 | TBA |
| 14 | T 11/26 R 11/28 |
10.1 Differential equations (continued) No class – Thanksgiving |
12/03 | TBA |
| 15 | T 12/03 R 12/05 |
Review for final Review for final December 17 |
12/06 | LaTex HW portfolios |