| Week | Topics | Homework | Due |
|---|---|---|---|
| 1/23 | Syllabus, Introduction 5.1 Area and the Definition of the Integral 5.2 General Theory of the Riemann Integral 5.3 The Fundamental Theorem of Calculus |
Workshop Problem 1/31 : 5.2 #12 5.2 1dfi, 8 5.3 1abcdeghi, 4 |
2/2 |
| 1/30 | 5.4 Formal Integration I 5.5 Formal Integration II : Trig Functions |
Workshop Problem 2/7 5.4 1abcdfhmqstwx, 2 5.5 1acdg, 2e, 3abde, 5 |
2/9 |
| 2/6 | 5.6 Formal Integration III : Rational Functions and Partial Fractions 5.7 ``Improper" Integrals |
Workshop Problem 2/14 5.6 2abcgij, 4 5.7 1abefgh, 2abde, 7 |
2/16 |
| 2/13 | 5.8 Geometric Applications of Riemann Sums 5.9 Riemann Integrability |
5.8 2abcf, 5abcd, 6 | 2/23 |
| 2/20 | Review for First Midterm First Midterm on Wed 2/22 Introduction to Infinite Series |
Workshop Problem 2/28 2.1 15,16,17,19 2.2 15,16,17,19 (as the book says, try to guess!) 2.3 34 2.5 10 |
3/1 |
| 2/27 | 6.1 Local Approximation by Polynomials 6.2 Convergence of Series |
Workshop Problem 3/6 6.1 1cef, 2, 3, 5, 6a 6.2 4 5.7 3cdefg |
3/8 |
| 3/5 | 6.2 Convergence of Series 6.3 Unconditional Convergence |
Workshop Problem 3/13 6.2 1acdfhklm, 2, 6 6.3 1abei, 4, 5 |
3/15 |
| 3/12 | 6.4 Convergence of Power Series 6.5 Handling Power Series |
Workshop Problem 3/20 6.4 1, 2, 7, 10, 11, 13, 20 6.5 1, 2, 9, 11, 19, 23, 28, 34, 37, 38, 42 |
3/22 |
| 3/19 | Introduction to Differential Equations Separable Differential Equations |
Workshop Problem 3/27 HW Problem Set |
3/29 |
| 3/26 | First Order Linear Diff. Eqs. --- Integration Factors Second Order Diff. Eqs. with Constant Coefficients |
HW Problem Set | 4/12 |
| 4/2 | Spring Recess, No Classes | ||
| 4/9 | Review for Second Midterm Second Midterm on Friday 4/13 |
No Homework this Week | |
| 4/16 | Uniform Convergence and the Uniform Norm The Weierstrass Approximation Theorem Notes |
Workshop Problem 4/24 HW Problem Set |
4/26 |
| 4/23 | L^p Spaces Introduction to the Lebesgue Integral |
5/3 | |
| 4/30 | Review | ||
| 12/19 | Final (cumulative) Monday, May 14, 11:15am-1:45pm |