This calendar is tentative and will be updated throughout the semester.
|
Week |
Day |
Date |
Topic |
Sections |
HW |
| 1 | Monday | 8/24/09 | Introductions, plan for the course, sequences | ||
| Wednesday | 8/26/09 | Power series representation of functions | Notes, S&H 9 | ||
| Friday | 8/28/09 | Geometric series | S&H 9.6 | ||
| 2 | Monday | 8/31/09 | Variations on geometric series | ||
| Wednesday | 9/2/09 | Taylor series: 1 variable | S&H 9.2 | ||
| Friday | 9/4/09 | Taylor Series: several variables | S&H 9.3 | ||
| 3 | Monday | 9/7/09 | Labor Day | ||
| Wednesday | 9/9/09 | Comparison, Limit comparison, Ratio test | |||
| Friday | 9/11/09 | Radius of convergence | Hand out p.12 all | ||
| 4 | Monday | 9/14/09 | Integration and differentiation term by term, products, composition | p.14 1,2 | |
| Wednesday | 9/16/09 | Series for differential equations | p.16 1,2 | ||
| Friday | 9/18/09 | Integral test, p-series | p.19 1-5 | ||
| 5 | Monday | 9/21/09 | Alternating series | p.21 1-6 | |
| Wednesday | 9/23/09 | Review | |||
| Friday | 9/25/09 | Exam 1 | |||
| 6 | Monday | 9/2809 | Multiple integrals | Spivak 3, S&H 8.3 | |
| Wednesday | 9/30/09 | Fubini | Spivak | ||
| Friday | 10/2/09 | Changing order | |||
| 7 | Monday | 10/5/09 | Change of Variables | ||
| Wednesday | 10/7/09 | ||||
| Friday | 10/9/09 | Technique | |||
| 8 | Monday | 10/12/09 | Triple integrals | Mathematica notebook on visualization | |
| Wednesday | 10/14/09 | Spherical, Cylindrical coordinates | |||
| Friday | 10/16/09 | Fall Break | |||
| 9 | Monday | 10/19/09 | Line integrals | ||
| Wednesday | 10/21/09 | Independence of parametrization,Fundamental theorem | p. 491 1-5,11 | ||
| Friday | 10/23/09 | Independence of path, recovering potentials | p.500 1,2,7,8 | ||
| 10 | Monday | 10/26/09 | 1-forms and 1-chains | Danu Arapura's notes on differential forms | |
| Wednesday | 10/28/09 | Review of theory of multiple integrals | |||
| Friday | 10/30/09 | Review practice for both line and multiple integrals | |||
| 11 | Monday | 11/2/09 | Review theory for line integrals | ||
| Wednesday | 11/4/09 | Exam 2 | |||
| Friday | 11/6/09 | 0 forms and 1 forms | |||
| 12 | Monday | 11/9/09 | Algebra of forms, exterior derivative | A 2-11, S-H 8.4 | S-H: p.522 1-5, Spivak p.104 25 |
| Wednesday | 11/11/09 | d^2 =0 | Spivak p.96 19, p.100 23,24 | ||
| Friday | 11/13/09 | Integration of forms on simplices | |||
| 13 | Monday | 11/16/09 | Integration on chains | ||
| Wednesday | 11/18/09 | Stokes's theorem | |||
| Friday | 11/20/09 | Green's, Gauss's theorems | |||
| 14 | Monday | 11/23/09 | More on Green, Gauss , and Stokes | ||
| Wednesday | 11/25/09 | Thanksgiving break | |||
| Friday | 11/27/09 | Thanksgiving break | |||
| 15 | Monday | 11/30/09 | Manifolds | ||
| Wednesday | 12/2/09 | Integration of forms on manifolds | |||
| Friday | 12/4/09 | Review | Last Class | ||
| Finals | Monday | 12/7/09 | Reading Day | ||
| Thursday | 12/10/09 | 10:15-12:15 | Exam 3 | ||