Math 307: homework

• For Friday, 5 January: Read Section 2.1, and try to figure out the answers to these questions: What are first order linear differential equations? How do you solve them?
• For Monday, 8 January: Continue with Section 2.1: the general form for a linear first order differential equation is y' + p(x) y = q(x). How do you solve these sorts of equations?
• Due Wednesday, 10 January. Click here for solutions.
  • Section 2.1: 13
  • Section 2.2: 2, 4, 24
• Due Wednesday, 17 January. Click here for solutions.
  • Section 2.1: 14
  • Section 2.5: 3, 5, and read problems 20-24
  • Section 3.1: 5, 15, 21
• Practice problems. Do these before the exam on Wednesday, 24 January. Do not hand them in. Click here for solutions.
  • Section 3.2: 1, 4, 23
  • Section 3.3: 1, 4
  • "Exercises I" from the notes on complex numbers: 2, 3, 5
• For Monday, 29 January: Read Section 3.5, and try to answer the following questions: how do you find the general solution of a second order linear homogeneous equation with constant coefficients, if the characteristic equation has only one root? Also, what is the method of "reduction of order"?
• Due Wednesday, 31 January. Click here for solutions.
  • "Exercises II" from the notes on complex numbers: 9
  • Section 3.4: 4, 5, 9, 21
  • Exam revisions (optional).
• Due Wednesday, 7 February at 4:30 in my office. Click here for solutions.
  • Section 3.5: 4, 14, 25
  • Section 3.6: 8, 28 (there is a hint available for this problem, in PDF format).
  • Section 3.7: 5, 18
• Practice problems: make sure you do these before the exam. Click here for solutions.
  • Section 3.8: 3, 6, 10, 17, 28
  • Section 3.9: 1, 5, 7, 17, 18
• For Wednesday, 21 February:
  • Practice problems (don't hand in): work out the Taylor polynomials for e^x, sin(x), cos(x) (all with a=0). You could also try ln(x) (at a=1), ln(1+x) (at a=0), and 1/(1-x) (at a=0).
• Due Friday, 23 February:
  • Exam revisions (optional)
• Due Wednesday, 28 February. Click here for solutions.
  • page 24 of notes on infinite series: 4
  • Section 5.1: 4, 5, 12, 16
• Practice problems on infinite series. Do not hand in.
  • Section 5.1: 24, 25
  • Section 5.2: 1, 2, 3, 4
  • Section 5.3: 2, 3, 11, 12

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Last modified: Mon Apr 29 12:10:50 PDT 2002