Math 23 - Winter 02

MWF 11:15am - 12:20pm
Bradley 103

Scott Pauls
scott.pauls@dartmouth.edu


Course Overview and expectations :  Rough syllabus, grading, office hours, etc

Maple Demos:

  1. Wronskian computations for more than two functions as demonstrated in class on Jan 22.
  2. System solution computations as demonstrated in class on Feb 4.
  3. Fourier polynomial computations and pictures as demonstrated in class on Feb 18.
  4. Heat equation computations and pictures as demonstrated in class on Feb 22.
  5. Heat equation computations and pictures as demonstrated in class on Feb 25.
  6. Wave equation solutions computations and pictures as demonstrated in class on Feb 27.

Homework Assignments:

  1. 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?
  2. Day 2: Read sections 2.6, 3.1,3.2. Do problems: 2.3 : 5,14,21,23.  2.4: 32
  3. Day 3: No homework.
  4. Day 4: Read sections 3.1-3.3.  Do problems: 2.6 :  12, 27. 3.1: 21, 28
  5. Day 5: (Re)read sections 3.1-3.6. Do problems: 3.2: 25. 3.3: 17,18,25,28.
  6. 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.
  7. Day 7: Read sections 4.1-4.3.  Do problems:  3.7 : 15,28,29.  4.1: 19
  8. Day 8: No homework
  9. Day 9: Read sections 5.1-5.4.  Do problems:  4.2 : 23  5.2: 5,12
  10. Day 10: Read sections 5.4-5.8 No problems.
  11. Day 11: Do problems:  5.6 : 12,14,15
  12. Day 12: Read sections 7.1-7.5.  No problems
  13. Day 13: Read sections 7.5.  Do problems:  7.4 : 4,6  
  14. Day 14: Read sections 7.5-7.6.  Do problems:  7.5: 9,15,31
  15. Day 15: No homework.
  16. Day 16: Read sections 10.1-10.2.  Do problems:  7.6: 7  7.7: 6  7.8: 5,6
  17. Day 17: Read sections 10.2-10.4.  Do problems:  10.1: 1,3,11,12  10.2: 15,16
  18. Day 18: Read sections 10.5-10.6.  Do problems:  10.3: 1,13,14,15 (due friday)