Note: this schedule is only approximate and will be updated irregularly.
| Date | Topic | Textbook Sections |
|---|
| 1/10 | Solids of revolution: volumes | 6.2, 6.3 |
| 1/12 | Solids of revolution: volumes (cont.) and surface areas | 6.3,
6.4 |
| 1/17 | Class cancelled |
| 1/19 | Integration by substitution (review) and integration by parts | 7.2,
7.3 |
| 1/22 | Trigonometric integrals | 7.4 |
| 1/24 | Derivatives and integrals of inverse trigonometric
functions | 6.8 |
| 1/26 | Trigonometric substitution | 7.6 |
| 1/29 | Integration via partial fractions | 7.5 |
| 1/31 | Integration via partial fractions (cont.), quadratic polynomials
in integrals | 7.5, 7.7 |
| 2/2 | Improper integrals | 7.8 |
| 2/5 | Midterm 1 Q&A session | Chapters 6, 7 |
| 2/7 | Introduction to ordinary differential equations (ODEs) | 8.1 |
| 2/9 | Introduction to ODEs (cont.) | 8.1, 8.2 |
| 2/12 | Separable ODEs | 8.3 |
| 2/14 | First order linear ODEs | 8.4 |
| 2/16 | The logistic equation | 8.5 |
| 2/19 | The logistic equation (cont.) | 8.5 |
| 2/21 | Second order linear ODEs | 8.6 |
| 2/23 | Second order linear ODEs (cont.) | 8.6 |
| 2/26 | Mechanical vibrations | 8.7 |
| 2/28 | Midterm 2 Q&A session | Chapter 8 |
| 3/2 | Sequences and series | 10.2, 10.3 |
| 3/5 | Sequences and series (cont.) | 10.2, 10.3 |
| 3/7 | Sequences and series (cont.) | 10.2, 10.3 |
| 3/9 | Convergence tests I: the integral test | 10.5 |
| 3/19 | Convergence tests II: comparison tests | 10.6 |
| 3/21 | Absolute and conditional convergence of series | 10.7 |
| 3/23 | Convergence tests III: the ratio and root tests | 10.7 |
| 3/26 | Power series | 10.8 |
| 3/28 | Power series (cont.), Taylor series and Taylor
polynomials | 10.8, 10.4 |
| 3/30 | Taylor series and Taylor polynomials (cont.) | 10.4 |
| 4/2 | Midterm 3 Q&A session | Chapter 10 |
| 4/4 | Power series solutions to ODEs | 10.10 |
| 4/9 | Introduction to vectors in R2 and
R3 | 11.1, 11.2 |
| 4/11 | The dot and cross products | 11.2, 11.3 |
| 4/13 | The dot and cross products (cont.), lines and planes in
R3 | 11.3, 11.4 |
| 4/16 | Lines and planes in
R3 (cont.) | 11.4 |
| 4/18 | Matrices and matrix operations | 11.6 |
| 4/20 | Matrix operations (cont.) | 11.6 |
| 4/23 | Matrices and linear systems | 11.5 |
| 4/25 | Wiggle room | ?? |
| 4/27 | Final Review | Chapters 6, 7, 8, 10, 11 |
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