| Lecture | Sections | Topics | Homework |
| 1 | 6.2, 6.5, 12.4 | Integration by substitution (review) | 6.2 2,3,14,17,23,29,36,37,45,52,53,61,64,65
6.5 5,8,9,13,21,28,46,49,51 12.4 5,7,15,20,24,25,29,33,34 |
| 2 | 6.6, 12.4 | Area between curves | 6.6 1,2,5,6,7,20,21,23,33,34,38,39,47
12.4 37,38 |
| 3 | 7.1 | Integration by parts | 7.1 5,8, 11,13,16,21,26,27,39,40 |
| 4 | 7.2 | Integration using tables | 7.2 3,7,8,11,15,18,19,20,25,27,32,37 |
| 5 | 7.3 | Numerical integration | 7.3 3,5,9,10,11,14,17,20,25,27,32,37,39 |
| 6 | 7.4 | Improper Integrals | 7.4 1,4,7,9,10,18,19,30,31,33,39 |
| 7 | 11.1 | Taylor Polynomials | 11.1 11,13,14,16,17,20,25,27,31,33 |
| 8 | 9.1 | Differential equations, initial value problems | 9.1 4,9,11,13,14,15,16,17,18,19,23
16.1 15,16,19,33,39 |
| 9 | 9.2 | Separation of variables | 9.2 3,9,11,13,15,18,21,22,31,33,34
16.2 7,17,21,22 |
| 10 | 9.3 | Applications | 9.3 1,2,3,4,7,9,10,13,16,19 |
| 11 | Catch-up and review | ||
| 12 | FIRST
MIDTERM EXAM
(Lectures 1-10) |
||
| 13 | A1-A2 | Growth models, logistic equation | A1 1,2 |
| 14 | A2 | Logistic equation | A2 1,2 (p. 10) |
| 15 | 16.4 | 1st. order linear differential equations | 16.4 3,5,6,7,8,11,13,14,15,16,17 |
| 16 | 16.4 | 1st. order linear differential equations | 16.4 19,20,21,24,29,33,39-42,47,48 |
| 17 | 16.5 | 2nd. order linear differential equations | 16.5 8,11,13,16,19,21,25,26,28,31,33,34 |
| 18 | 16.6 | Non-homogeneous differential equations | 16.6 5,7,9,13,15,21,24,25 |
| 19 | B1 | Systems of linear equations and matrices. | B1 1,2a,3a,4,5 |
| 20 | B2 | Algebra of matrices | B2 1,2,3,5,7,8,10,11,13 |
| 21 | B3-B4 | Determinants | B3 1,2,3,4,5,6,7
B4 1,2 |
| 22 | B5-B6 | Invertible matrices. Cramer's rule | B5 1,2,3,4
B6 1,2,3,4 |
| 23 | B7-B8 | Eigenvalues and eigenvectors | B7 1,2,3
B8 1,2,3,4,5 |
| 24 | Catch-up and review | ||
| 25 | SECOND
MIDTERM EXAM
(Lectures 13-23) |
||
| 26 | UMAP (1,2) | Population projection | 1 (p. 4), 2 (p. 10) |
| 27 | UMAP (3) | Population projection | 3 (p. 12), 4 (p.13) |
| 28 | UMAP (3,4) | Population projection | 6,7,8 (p.17) |
| FINAL
EXAM
4-7pm, room TBA (cummulative) |