| Lecture | Date | Topic | Section
|
| 1 | Thu 8/26 | Review of integration, the fundamental theorem of calculus | 4.1-4.4
|
| 2 | Tue 8/31 | Review of the substitution rule | 4.5
|
| 3 | Thu 9/2 | Integration by parts | 6.1
|
| --- | Tue 9/7 | No Class | ---
|
| 4 | Thu 9/9 | Trigonometric integrals | 6.2
|
| 5 | Tue 9/14 | Integration by partial fractions | 6.3
|
| --- | Thu 9/16 | No Class | ---
|
| 6 | Tue 9/21 | Further examples of integration techniques | 6.1-6.4
|
| 7 | Thu 9/23 | Numerical integration | 6.5
|
| 8 | Tue 9/28 | L'Hospital's rule | 5.8
|
| 9 | Thu 9/30 | Improper integrals | 6.6
|
| 10 | Tue 10/5 | Review | ---
|
| 11 | Thu 10/7 | Midterm I | ---
|
| 12 | Tue 10/12 | Intoduction to sequences | 8.1
|
| 13 | Thu 10/14 | More on sequences | 8.1
|
| 14 | Tue 10/19 | Introduction to series | 8.2
|
| 15 | Thu 10/21 | More on series | 8.2
|
| 16 | Tue 10/26 | The integral test | 8.3
|
| 17 | Thu 10/28 | The comparison, ratio, and root tests | 8.3
|
| 18 | Tue 11/2 | Alternating series and the Leibniz test | 8.4
|
| 19 | Thu 11/4 | Absolute vs. conditional convergence | 8.4
|
| 20 | Tue 11/9 | Review | ---
|
| 21 | Thu 11/11 | Midterm II | ---
|
| 22 | Tue 11/16 | Introduction to power series | 8.5
|
| 23 | Thu 11/18 | Representing functions by power series | 8.6
|
| 24 | Tue 11/23 | Operations on power series | 8.6
|
| --- | Thu 11/25 | No Class (Thanksgiving) | ---
|
| 25 | Tue 11/30 | Taylor polynomials and Taylor series | 8.7
|
| 26 | Thu 12/2 | More on Taylor series | 8.7
|
| 27 | Tue 12/7 | Applications of Taylor series | 8.8
|
| 28 | Thu 12/9 | Review | ---
|