Course Overview and expectations
: Rough syllabus, grading, office hours, etc
Maple Demos:
- Wronskian computations for more than two functions as demonstrated in class on Jan 22.
- System solution computations as demonstrated in class on Feb 4.
- Fourier polynomial computations and pictures as demonstrated in class on Feb 18.
- Heat equation computations and pictures as demonstrated in class on Feb 22.
- Heat equation computations and pictures as demonstrated in class on Feb 25.
- Wave equation solutions computations and pictures as demonstrated in class on Feb 27.
Homework Assignments:
- Day 1:Read sections 2.1-2.4. Do problems: 2.1: 5,13,25.
2.2: 9. Extra Question: Why can we choose the intgration
constant in the first part of the procedure for linear first order differential
equations to be zero?
- Day 2: Read sections 2.6, 3.1,3.2. Do problems: 2.3
: 5,14,21,23. 2.4: 32
- Day 3: No homework.
- Day 4: Read sections 3.1-3.3. Do problems: 2.6
: 12, 27. 3.1: 21, 28
- Day 5: (Re)read sections 3.1-3.6. Do problems: 3.2:
25. 3.3: 17,18,25,28.
- Day 6: Read sections 3.7,4.1 (optional reading for those interested
in applications 3.8,3.9). Do problems: 3.4: 38,39. 3.5: 41.
3.6: 13,27.
- Day 7: Read sections 4.1-4.3. Do problems: 3.7
: 15,28,29. 4.1: 19
- Day 8: No homework
- Day 9: Read sections 5.1-5.4. Do problems: 4.2
: 23 5.2: 5,12
- Day 10: Read sections 5.4-5.8 No problems.
- Day 11: Do problems: 5.6
: 12,14,15
- Day 12: Read sections 7.1-7.5. No problems
- Day 13: Read sections 7.5. Do problems: 7.4
: 4,6
- Day 14: Read sections 7.5-7.6. Do problems: 7.5: 9,15,31
- Day 15: No homework.
- Day 16: Read sections 10.1-10.2. Do problems: 7.6: 7 7.7: 6 7.8: 5,6
- Day 17: Read sections 10.2-10.4. Do problems: 10.1: 1,3,11,12 10.2: 15,16
- Day 18: Read sections 10.5-10.6. Do problems: 10.3: 1,13,14,15 (due friday)