You will be receiving the syllabus in four installments (one syllabus covers the material for the next hour exam). For some lessons/problems, you may have to use Maple or the TI92 or another software package to solve and plot, by numerical means, the indicated problem. Such problems need to be solved and plotted by numerical means since these problems may not have an explicit solution written as elementary functions. These problems may help you understand the usefulness of approximation methods.
| LESSON/PAGES | TOPICS | PROBLEMS |
| 1. 1-5 | 1.1 Definitions and terminology | p. 5: 1,7,8,11,14,15 |
| 2. 6-11 | 1.2 Solutions and IVPs | p.14:
3,6,10,11,20(a),22,29,31 |
| 3. 16-21 | 1.3 Direction Fields | p.22: 1,3, 5,6ab |
| 4. 24-27 | 1.4 Numerical solutions: Euler's method | p.28: 2,4,5CP |
| 5. 32-33 | B. Approximating solutions: Picard's method | p.33: a,b CP |
| 6. 40-45 | 2.2 Separable DEs | p.46: 4,5,6,7,10,12,18,23 |
| 7. 49-54 | 2.3 Linear DEs |
p.54: 2,3,7,9,10,19,21 |
| 8. | review | |
| 9. 101-103 | 3.3 Applications (heating/cooling) | p.107: 1,2,5 |
| 10. 108-113 | 3.4 Applications (Newtonian mechanics) | p.115: 1,2,7 |
| 11. 119-122 | 3.5 Applications (Electrical circuits) | p.122: 1,3,7 |
| 12., 13. | review/Test 1 |
SM222 has overlaps significantly with SM212 (coordinated by Prof. Joyner). You may want to take advantage of the resources posted on his web page:
http://cadigweb.ew.usna.edu/~wdj/teach/sm212.html
You will find some lecture notes, and old hourly tests and old final exams
there.
For hints on using the TI92, see
http://cadigweb.ew.usna.edu/~wdj/teach/sm212_ti92.html
The Maple code at
http://cadigweb.ew.usna.edu/~wdj/teach/sm212/sm212_euler.htm
helps with the CPs in lessons 4,5.
The Maple code at
http://cadigweb.ew.usna.edu/~wdj/teach/sm212/sm212_euler_2x2.html
helps with the CPs in lesson 38.