Course schedule¶
This is a tentative schedule. It will change often. Here is a list of suggested problem.
| Lecture | Date / Day | Topic | Section # in CLP-2 | in-class | pre-recorded | homework |
|---|---|---|---|---|---|---|
| 1 | 06 July / Mon | Introduction, Riemann sum, definite integral | 1.1, 1.2 | slides, video | slides, video | hw1 out |
| 2 | 08 July / Wed | No lecture | ||||
| 3 | 09 July / Thurs | Definite integrals contd., the fundamental theorem of calculus | 1.2, 1.3 | slides, video | slides, video | |
| 4 | 10 July / Fri | FTC continued; indefinite integration, u-substitution | 1.3, 1.4 | slides, video | slides, video | |
| 5 | 13 July / Mon | Areas between curves, Work | 1.5, 2.1 | slides, video | slides, video | hw1 due/ hw2 out |
| 6 | 15 July / Wed | Quiz 1 | ||||
| 7 | 16 July / Thurs | Volume, Integration by parts | 1.6, 1.7 | slides, video | slides, video | |
| 8 | 17 July / Fri | Trigonometric integrals, Integration by trigonometric substitution | 1.8, 1.9 | slides, video | slides, video | |
| 9 | 20 July / Mon | Partial fractions, improper integrals | 1.10, 1.12 | slides, video | slides, video | hw2 due/ hw3 out |
| 10 | 22 July / Wed | Quiz 2 | solution | |||
| 11 | 23 July / Thurs | improper integrals contd., average value | 1.12, 2.2 | slides, video | slides, video | |
| 12 | 24 July / Fri | Center of mass, Separable differential equations | 2.3, 1.12 | slides, video | slides, video | |
| 13 | 27 July / Mon | Numerical approximation, sequences | 1.11, 3.1 | slides, video | slides, video | hw3 due / hw4 out |
| 14 | 29 July / Wed | Quiz 3 | solution | |||
| 15 | 30 July / Thurs | Limits of sequences, examples, introduction to series | 3.1 | slides, video | slides, video | |
| 16 | 31 July / Fri | Properties of series, examples, and convergence | 3.2 | slides, video | No pre-recorded lecture | |
| 17 | 03 August / Mon | No lecture (BC day) | hw 4 due on 08/04 | |||
| 18 | 05 August / Wed | Quiz 4 | solution | hw5 out | ||
| 19 | 06 August / Thurs | The integral test, comparison test, | 3.3 | slides, video | slides, video | |
| 20 | 07 August / Fri | Alternating series, absolute and conditional convergence | 3.4 | slides, video | slides, video | |
| 21 | 10 August / Mon | Power series, Taylor series | 3.5, 3.6 | slides, video | slides, video | |
| 22 | 12 August / Wed | Quiz 5 | solution | |||
| 23 | 13 August / Thurs | Power series, Taylor series (cont.) / Review | 3.5, 3.6 | slides, video | Review slides video | hw 5 due on 08/16 (changed from 08/14) |