Homework


Derivatives and Integrals Gateway - you must get 100% on both exams by June 3, 2012.
Login to WeBWork and practice:
  • "Take Derivatives Gateway test" (this is only a practice test). The format for the exam is here.
  • "Take Integrals Gateway test" (this is only a practice test). The format for the exam is here.

    • Homework 1 - Due: May 21
  • Read the syllabus and complete the intro sheet.
  • Complete the integral sheet.
  • 1.1 - p.10: 1-5,11,12,20 (only verify that the indicated expression is an implicit solution),28,31

    • Homework 2 - Due: May 22
  • 1.2 - p.17: 2,8,12
  • 2.2 - p.51: 2,14,20,25,26,27

    • Homework 3 - Due: May 23
  • 2.3 - p.61: 2,6,12,16,21,22,27,31

    • Homework 4 - Due: May 27
  • 2.5 - p.74: 2-4,6,8,15-18,22

    • Test 1: Wed. May 29. This test covers the material from Homeworks 1-4 (you will turn in the book problems at the beginning of class organized and stapled).

    Homework 5 - Due: May 29
  • 3.1 - p.90: 1,2,21,22,35 (for 35(b) just take the limit as t goes to infinity. Ignore the comment about Problem 40 in 2.1, since we did not cover 2.1 yet.)

    • Homework 6 - Due: May 30
  • 4.1 - p.127: 1,2,15-19,23,25,27. For a review of determinants, please read this.

    • Homework 7 - Due: June 3
  • 4.1 - p.127: 31
  • 4.2 - p.131: 1-4,10,11
  • 4.3 - p.137: 1-10

    • Homework 8 - Due: June 4
  • 4.3 - p.137: 15,16,23,24,29,30
  • 4.4 - p.147: 1,2,4,5

    • Homework 9 - Due: June 5
  • 4.4 - p.147: 8,10,12,13,27, Find the form for \(y_p\) for problems 17,21,26.

    • Test 2: Thur. June 6. This test covers the material from Homeworks 5-9 (you will turn in the book problems at the beginning of class organized and stapled).

    Homework 10 - Due: June 6
  • 4.6 - p.161: 1,3,5,10,11,19.

    • Homework 11 - Due: June 11
  • 4.7 - p.168: 2,3,4,6,19,23,24,25.
  • 5.1 - p.205: 9.

    • Homework 12 - Due: June 12
  • 5.1 - p.205: 25a,25c,29.
  • Read 6.1.

    • Test 3: Due Mon. June 17. This test covers the material from Homeworks 10-12 (you will turn in the book problems at the beginning of class organized and stapled).

    Homework 13 - Due: June 17
  • 6.1 - p.237: 23-29. (the book says to shift so the general term involves $ x^k $, but you can shift so the general term involves $ x^n $). In other words, your final power series should look like $ \sum_{n=\text{start}}^{\infty} (\text{coefficient function that depends on $n$}) x^n $.
  • Example: series solution about an ordinary point
  • 6.2 - p.246: 3,4,5,6,9 (Hint: you should get $2c_2+c_0 = 0$ so $c_2=-c_0/2$ and a recurrence relation), 11 (Hint: you should get $c_2=0$, $6c_3+c_0=0$ so $c_3=-c_0/6$ and a recurrence relation).