Homework

Completing homework assignments is an integral part of this course. Problems are designed to reinforce concepts covered in lecture as well as to encourage students to explore implications of the results discussed in class. Very few students will be able to go through the entire course without struggling on many problems, so do not be discouraged if you do not immediately know how to solve a problem. In confronting difficult questions you should consider how the problem at hand connects to topics, definitions and/or theorems discussed in class.

When you have worked on a problem for a while and remain stuck, you are encouraged to ask for hints from your instructor or TA. Students may also discuss problems with one another, but must write solutions on their own. In particular if you have taken notes while discussing homework problems with friends or instructors, you must put these notes away when writing your solution. The Honor Code applies to this and all other written aspects of the course. Be warned: watching someone else solve a problem will not make homework a good preparation for tests. Don't get caught in the trap of relying on others to get through homework assignments.

Students are expected to take care in writing their assignments. For instance,
  • assignments should be written neatly;
  • assignments should contain clear, complete solutions;
  • solutions sets which contain multiple pages should be stapled; and
  • never forget to put your name, your section number and your TA's name on the top of your work.
  • Partial progress toward solutions on problems will be awarded partial credit, but simply writing answers down without justification will receive zero credit. Please note that usually only a portion of each week's problems will be scored; the selection of problems chosen to be graded will not be announced in advance.

    Logistics: Assignments must be turned in to your TA -- you will not receive credit for work turned into another section leader. (If you're unable to turn in your homework in section, slide it under your TA's office door.) The deadline is 3:30 p.m. on the given due date, and no late homework will be accepted under any circumstances. (This is as much a courtesy to your fellow students who expect the homework solutions to be posted, as an incentive to stay current with the course and not fall behind.) To accommodate exceptional situations such as a serious illness, your lowest homework score will be dropped at the end of the quarter. Solutions will be posted on this page by the following morning.

    Due Oct 4th Homework 1
    Section 1.1: 5, 8, 12, 15, 16, 30, 33, 37
    Section 1.2: 3(a and c), 16
    Solution
    Due Oct 11th Homework 2
    Section 2.1: 5, 10, 22, 32, 36
    Section 2.2: 3, 13
    Section 2.4: 6, 10
    Last Problem: Find general solution of
    2 ( x-2y+1) + (5x-y-4) y' = 0
    Solution
    Due Oct 18th Homework 3
    2.5: Problem 5: - solve as an exact equation
    - then solve as homogeneous equation
    2.5: 13, 16, 27(a)
    2.3: 2, 10, 15, 22, 28


    Solution
    Due Oct 25th Homework 4
    3.2: 11 (a), 12 (a), 18, 21, 25, 31
    3.3: 5, 6, 15, 21
    Solution
    Due Nov 1st Homework 5
    3.4: 2, 6, 8, 15, 17
    3.5: 2, 6, 8, 10, 13

    Solution
    Due Nov 8th Homework 6
    4.2: 3, 10, 15
    4.3: 7, 35, 36, 49
    4.5: 1, 4, 13


    Solution
    Due Nov 15th Homework 7
    4.7: 4, 8, 15, 23, 29
    4.4: 2, 7, 17, 19 (compare to 4.3: 49)
    4.4: 24

    Solution
    Due Nov 29th Homework 8
    5.1: 10, 12, 17
    5.2: 13, 19, 25
    5.3: 2, 10, 13, 23
    Solution
    Not graded

    But any of those
    may be used on final exam.
    5.4: 8, 11, 13
    5.5: 1, 7, 11, 15, 23
    Comment about 23: write f(t) using series and then take
    Laplace transform. You do not need Theorem 5.5.3, which
    we did not cover in class.

    5.6: 6, 9, 13, 21
    5.7: 6, 11
    Solution