Old Lecture Assignments:

• Lecture 1 (Tuesday, 15 January)
  • Reading: G&W chapter 0 through 0.4 except stuff about calculators.
  • Problems: a bunch of exercises in computing derivatives. Solutions here. If you need more practice, here's another sheet of problems and solutions.
• Lecture 2 (Thursday, 17 January):
  • Reading: G&W appendix A, pages 3 and 4 (the Taylor series stuff).
  • Problems: a Taylor series problem. Links to solutions appear in the problem document.
• Lecture 3 (Tuesday, 22 January):
  • Reading: G&W section 0.5. The IEEE Arithmetic Short Reference from the CSCI 4676 textbook may also be useful.
  • Problems: an IEEE Floating Point Arithmetic problem. Links to solutions appear in the problem document. Please also do parts (a), (b), and (c) of problem 18 in Chapter 0 of Gerald & Wheatley. Solutions are in the back of the book.
• Lecture 4 (Thursday, 24 January):
  • Reading: G&W sections 0.7, 1.1
  • Problems: a set of problems on parallel computing. Solutions here.
• Lecture 5 (Tuesday, 29 January):
  • Reading: G&W sections 1.2-3
  • Problems: Chapter 1, problems 2, 4(a), and 6(a). Solutions here.
• Lecture 6 (Thursday, 31 January):
  • Reading: G&W sections 1.4, 1.6
  • Problems: Chapter 1, problems 12(a) and 29. In problem 12, skip the comparison to problem 7. Solutions to problem 29 are here and solutions to problem 12(a) are in the back of the book.
• Lecture 7 (Tuesday, 5 February):
  • Reading: G&W section 1.6
  • Problems: Chapter 1, problem 30. Solutions are in the back of the book.
• Lecture 8 (Thursday, 7 February):
  • Reading: G&W sections 1.10, 2.1-2.2
  • Problems: problems 56 and 60 from Chapter 1 and problems 1(b), 1(c), and 2(a) from Chapter 2. This is more homework than usual, but most of it is linear algebra review. You're also welcome to refit your PA2 code to do #56 and #60, which will save a lot of plug&chug time. Solutions to #60 and the various Chapter 2 problems are in the back of the book; solutions to #56 are here.
• Lecture 9 (Tuesday, 12 February):
  • Reading: G&W sections 2.3-4.
  • Problems: problems 4(b) and 15 from Chapter 2. Solutions are in the back of the book.
• Lecture 10 (Thursday, 14 February):
  • Reading: G&W section 2.4.
  • Problems: problem 17 from Chapter 2. Only do the problem 10 matrix. Solutions here.
• Lecture 11 (Tuesday, 19 February):
  • Reading: G&W sections 2.5-6.
  • Problems: problem 22 from Chapter 2. Solutions are in the back of the book.
• Lecture 12 (Thursday, 21 February):
  • Reading: G&W sections 2.7-9.
  • Problems: problems 32, 39, 46, and 50 from Chapter 2. Just do parts (a) and (c) of #39. Solutions to problems 39, 46, and 50 are here; solutions to #32 are in the back of the book.
• Lecture 13 (Tuesday, 26 February):
  • Reading: G&W sections 2.9-11.
  • Problems: problems 55 and 57 from Chapter 2. Solutions to problem 57 are here; solutions to #55 are in the back of the book.
• Lecture 14 (Thursday, 28 February):
  • Reading: G&W section 2.15.
  • Problems: problem 81 from Chapter 2. Solutions here. Notes on parallelization here
• Lecture 15 (Tuesday, 5 March):
  • Reading: G&W sections 2.12 and 3.1.
  • Problems: problem 62 from Chapter 2. Please also compute f(1.5) by hand, using the data from programming assignment 6. Solutions to problem 62 are here; the PA6 math is here.
• Lecture 16 (Thursday, 7 March):
  • Reading: G&W section 3.2.
  • Problems: problem 1 from Chapter 3. Solutions here.
• Lecture 17 (Tuesday, 12 March):
  • Reading: 3.4
  • Problems: problem 35 from Chapter 3. Solutions here.
• Lecture 18 (Thursday, 14 March):
  • Reading: 3.5
  • Problems: work on PA7 and do problem 46 from Chapter 3. Solutions to #46 here.
• Lecture 19 (Tuesday, 19 March):
  • Reading: 3.6
  • Problems: work on PA8.
• Lecture 20 (Thursday, 21 March):
  • Reading: 3.7 and your lecture notes. (I did a highly streamlined version of sections 5.1-5.3 in ten minutes, one picture, and three formulas. If you missed lecture, you'll have to get notes from a friend or read through those sections on your own.)
  • Problems: problem 59 from Chapter 3. Please also compute f'(1.4) from the table of data given in problem 40 of Chapter 5, using:
    • first-order forward differences, with h=0.1
    • first-order forward differences, with h=0.2
    • first-order backward differences, with h=0.1
    • center differences, with h=0.1
    • center differences, with h=0.2
    Solutions to problem 59 of Chapter 3 are in the back of the book; solutions to the derivative problem are here.
• Lecture 21 (Tuesday, 2 April):
  • Reading: 5.4
  • Problems: use center differences and the extrapolation technique of section 5.4 to get f'(1.4) from the table of data given in problem 40 of Chapter 5 to an O(h^4) accuracy. Solutions here. Please also do problem 31 of Chapter 5. Solutions here.
• Lecture 22 (Thursday, 4 April):
  • Reading: 5.5-5.7
  • Problems: problems 40, 48, and 53 from Chapter 5. For problems 48 and 53, just do the h=0.1 part. Solutions here.
• Lecture 23 (Tuesday, 9 April):
  • Reading: 5.9-10
  • Problems: two exercises in Gaussian quadrature. Solutions here.
• Lecture 24 (Thursday, 11 April):
  • Reading: 5.11 and pp 1-4 of ODE Notes, which were passed out in class this day.
  • Problems: an exercise in how to take an nth-order ODE apart into n first-order ODEs. Solutions here.
• Lecture 25 (Tuesday, 16 April):
  • Reading: ODE Notes through section 2.1
  • Problems: integrate the second-order ODE system x'' + xx' - t = 0 from x(0)=1, x'(0)=2 for two steps using h=0.1 and Forward Euler. Solutions here.
• Lecture 26 (Thursday, 18 April):
  • Reading: ODE Notes through section 2.4
  • Problems: work on PA11.