Advanced Mathematics II (ID) (Summer Semester 2005)
- Lecturer: Prof. Maria Girardi
- Classes: Lecture (31001), Problem class (31002)
- Weekly hours: 4+2
- Audience: mach (2. semester)
This lecture is mandantory for students enrolled in the International program in Mechanical Engineering at the International Department. This is the english class of the lecture Höheren Mathematik II.
| Schedule | |||
|---|---|---|---|
| Lecture: | Monday 9:45-11:15 | ID SR 202 | Begin: 11.4.2005 |
| Friday 14:00-15:30 | ID SR 202 | ||
| Problem class: | Wednesday 9:45-11:15 | ID SR 202 | Begin: 13.4.2005 |
| Lecturers | ||
|---|---|---|
| Lecturer, Problem classes | Prof. Maria Girardi | |
| Office hours: by appointment | ||
| Room 2.045 Kollegiengebäude Mathematik (20.30) | ||
| Email: girardi@math.sc.edu | ||
Worksheets
| Worksheet | Solutions | Date | Due | Topics |
| Worksheet 1 | Solutions 1 | April 11, 2005 | April 18, 2005 | Taylor expansion |
| Worksheet 2 | Solutions 2 | April 18, 2005 | April 25, 2005 | Substitution and integration by parts, seprataion of variables |
| Worksheet 3 | Solutions 3 | April 24, 2005 | May 09, 2005 | Initial value problems, Bernolli differential equations, separation of variables, partial fraction decomposition |
| Worksheet 4 | Solutions 4 | May 05, 2005 | May 16, 2005 | Improper integrals, partial fracion decomposition |
| Worksheet 5 | Solutions 5 | May 13, 2005 | May 30, 2005 | Numeric integration, parameter integrals, trigonometric polynomials |
| Worksheet 6 | Solutions 6 | May 13, 2005 | May 30, 2005 | Fourier series |
| Worksheet 7 | Solutions 7 | May 30, 2005 | June 06, 2005 | Differential equations |
| Worksheet 8 | Solutions 8 | June 05, 2005 | June 15, 2005 | Nonhomogeneous differential equations |
| Worksheet 9 | Solutions 9 | June 13, 2005 | June 20, 2005 | Power series expansion |
| Worksheet 10 | Solutions 10 | June 20, 2005 | June 27, 2005 | Laplace transform |
| Worksheet 11 | Solutions 11 | June 27, 2005 | July 04, 2005 | Laplace transform, vector norms |
| Worksheet 12 | Solutions 12 | July 04, 2005 | July 11, 2005 | Determinants, cross product |
Additional Material
- http://www.mathematik.uni-karlsruhe.de/iag1/~hettlich/seite/maple_work/de|Maple Worksheets: Additionally to the sections of the lectures AM I, II and III there are worksheets (in German) on the computeralgebra system Maple.