https://faculty.math.illinois.edu/~r-sowers (this syllabus can be
found
there)Text: Boyce and DiPrima, Elementary
Differential
Equations and Boundary Value Problemss (6th ed.) 1997, Wiley
and Sons.
Course topic: Differential Equations (see also
the
Course Catalog Entry for Math 341.
Grading policy: Final grades will be determined on the basis of
the total numerical score (0-500 points) achieved on exams.
Relative weights are:
| Final: | 150 pts (30% of grade) |
| Hourly Exam 1: | 100 pts (20% of grade) |
| Hourly Exam 2: | 100 pts (20% of grade) |
| Hourly Exam 3: | 100 pts (20% of grade) |
| Weekly Quizzes: | 50 pts (10% of grade) |
| Total: | 500 pts (100% of grade) |
Additionally, I will randomly and frequently ask students to do problems at the board.
Outline: The first part of the course will be dedicated to an understanding of the definition of ODE's and quantitative propertices of some simple ODE's. Then we will discuss linear ODE's in some detail. We will then spend a short amount of time convincing ourselves of the ``abstract'' statement that ODE's have unique solutions. Then we will further discuss the quantitative properties of nonlinear ODE's and end with some numerical considerations.
| Week | Dates | Section of book | ||
|---|---|---|---|---|
| M | W | F | ||
| 1 | 1/21--1/23 | 2.1 | 2.2 | |
| 2 | 1/26--1/30 | 2.3 | 2.4 | 2.5 |
| 3 | 2/2--2/6 | 2.6 -2.7 | 2.8 | 2.9 |
| 4 | 2/9--2/13 | 2.10 | Review for E1 | |
| 5 | 2/16--2/20 | Return E1 | 3.1 | 3.2 |
| 6 | 2/23--2/27 | 3.3 | 3.4 | 3.5 |
| 7 | 3/2--3/6 | 3.6 | 3.7 | 3.8 |
| 8 | 3/9--3/13 | Ch. 4 | Review for E2 | |
| 9 | 3/16--3/20 | Return E2 | 2.11 | 2.11 |
| 10 | 3/30--4/3 | 2.11 | 9.1 | 9.1 |
| 11 | 4/6--4/10 | 9.1 | 9.1 | 9.2 |
| 12 | 4/13--4/17 | 9.2 | 9.2 | 10.1 |
| 13 | 4/20--4/24 | 10.1 | 10.1 | Review for E3 |
| 14 | 4/27--5/1 | 10.2 | 10.2 | |
| 15 | 5/4--5/6 | Review | Review | |