MATH 305

Introduction to Differential Equations

Homework and Lab Problems

Answer all questions with supporting work and full justification.  Always be sure to demonstrate the techniques taught in class.  You are encouraged to use technology where appropriate -- this "appropriateness" will be discussed during class.

Due Date Problems / Additional Instructions
None Section 1.1:  1-11 (odd)
Section 2.1:  3-15 (odd)
Jan 31, 2011 Lab 1 homework

Selected answers

You may turn in an electronic copy of your work, or a printed version.
None Section 2.2:  1-21 (odd)
Feb 9, 2011 Section 2.2:  34,36,38
Section 2.3:  8,10,18
Section 2.4:  42
Section 2.5:  4,6,12

For 2.5, #6:  Change the problem to read "...water is poured into the tank at a rate of 2 gal per minute...[and] leaves the tank at 3 gal per minute."

Feel free to use Mathematica for tedious computations, still practicing the methods from class.  Where used, provide appropriate printouts.

Selected hints & answers
None Section 2.4:  1-13 (odd), 31-41 (odd)

Practice separation of variables, integrating factor and the variation of parameters techniques, as needed.
Feb 9, 2011 Exam 1:  May include material covered through Monday, February 7 (1.1, 2.1, 2.2, 2.3, 2.4, 2.5), including variation of parameters.  The exam will be closed text and closed notes.  Calculators will be allowed, but all work must be shown.  All problems listed above are recommended for thorough preparation.
February 23, 2011 Homework assignment 3
March 2, 2011 Homework assignment 4
March 9, 2011 Homework assignment 5
None Section 5.1:  1-13 (odd)
Section 5.2:  1-7 (odd), 19-41 (odd)
March 23, 2011 Exam 2:  May include material from class lecture and the following sections in the text:  4.1, 4.3, 4.5, 4.6, 4.7, 5.1, 5.2, 5.3, 5.4.  As mentioned in the Blackboard announcement, the exam is open notes, as long as those notes were created by you.
April 6, 2011 Homework assignment 6
April 11, 2011 Lab 2
April 20, 2011 Homework assignment 7
April 27, 2011 Lab 3
None These are optional problems that may help you study for the final exam.

Section 9.1:  17,21,23,25,27,39,41,43,45,47
Section 9.2:  1-11 (odd), 17-27 (odd), 59
Section 9.5:  7-17 (odd), 21-31 (odd), 37,39,41,45,47,49,53
Feb 9, 2011 Exam 3:  May include Laplace transform and systems material from class lecture; the following sections in the text:  5.4, 5.5, 5.6, 9.1, 9.2, 9.5; homework assignments 6 and 7; and Lab 3.  You may use personal notes, class handouts, a calculator, and Mathematica during the exam, which will be located in Sims 114 during the scheduled final exam period.