Homework assignments will be posted on this page. The schedule is subject to change: you should always review it again on the web before starting work on a problem set. Problem sets are due two class sessions (not counting exam days) after they are assigned (allowing one intervening day for questions) unless I say something different here.

**Monday June 8 :**Chapter 1 (review), 2.1 (Differential Equations and Solutions)

2.1: 3,6, 8-13, 17, 18, 31, 32

**Tuesday June 9 :**2.2 (Separable Equations)

2.2: 1,2,5,6,11,12,13,14,16,17,18,36,40

**Wednesday June 10 :**2.4 (Linear Equations)

2.4: 1-6,11,12,13,16-19,23,24,31,32,36,37

2.1 due

**Thursday June 11 :**Friday is add deadline

2.5 (Mixing Problems)

2.5: 1-7,9,12,13 [problem 6 is apparently misstated: interchange the inflow and outflow (3 and 2 gals/min) and you get a problem you can do]

2.2 due

**Monday June 15 :**2.6 (Exact Equations); 2.7 (Existence and Uniqueness of Solutions)

2.6: 5-8, 10, 14, 15, 19, 20, 22, 23, 26, 27, 35, 36

2.4 due

**Tuesday June 16 :**[I will still be talking about section 2.6] 2.8 (Dependence of Solutions on Initial Conditions),2.9(Autonomous Equations and Stability)

**Wednesday June 17 :**[covered 2.7]3.1 (Modelling Population Growth), 3.3 (Personal Finance)

2.7: [sorry about posting this late] 1-10,17,18 [I have a little more to say about 17 and 18, re discontinuous driving functions], 24 [this problem gives a realistic example where nonuniqueness happens!]

2.5 due (extended one day)

**Thursday June 18 :**Test I

covers sections 2.1-6 (of course not 2.3).

**Monday June 22 :**[actually covering 2.8 and (mostly) 2.9] 3.4 (Electrical Circuits)

2.8: 16,17; 2.9: 9,10,17,18,20,21,24,25

2.6 due

**Tuesday June 23 :**[actually covering 3.1 and 3.4]4.1 (Definitions and Examples),4.2(Second-Order Equations and Systems)

3.1: 6,7[harvesting changes the differential equation of course!] ; 12,13,16[in 16 we have a different equation of course, but still one we can solve]; 3.4 1-4,7-10,17[this last problem is like 17,18 in section 2.7]

2.7 due

**Wednesday June 24 :**[discuss 4.1, 4.3—not done with 4.3]4.3 (Linear Homogeneous Systems with Constant Coefficients)

4.1: 13-16,17,18,22,23 ; 4.3: 3,4,7,9,10,14, 15,17,18,25,28,29,32. Note that 4.1 and 4.3 have different due dates. You should start 4.3, though.

2.8/9 due

**Thursday June 25 :**[continued 4.3]4.4 (Harmonic Motion)

**Monday June 29 :**drop deadline

[covered 4.4]4.5 (Inhomogeneous Equations: Undetermined Coefficients); 4.7 (Forced Harmonic Motion)

4.4: 3,4,11,12,15,16,18,23,24.

3.1/4 due, and 4.1 due.

**Tuesday June 30 :**[will cover 4.5]4.6 (Variation of Parameters)

4.5: 1-6,16,17,18-21,24-27

4.3 due.

**Wednesday July 1 :**5.1,5.2 (Definition and Basic Properties of Laplace Transform)

4.4 due

**Thursday July 2 :**Test II

**Monday July 6 :**[did 4.6]5.3,5.4 (Inverse Laplace Transforms; using Laplace Transforms to Solve Differential Equations)

4.5 due

**Tuesday July 7 :**[did selected stuff from 5.1 to 5.4]5.5,5.6 (Discontinuous Forcing Terms; Delta Function)

[oops, forgot to put this up]4.6: (do all these problems by variation of parameters: the book does not say this specifically but I do): 1,2,7-10 [it is useful to note that you CAN do number 9 by undetermined coefficients: do you see how?]; 5.1: 1,3,5,6,10,25,28; 5.2 1,2,5,6,8,11,12.

**Wednesday July 8 :**6.1,6.2 (Euler's Method, Runge-Kutta Methods)

5.3: 21, 22, 27-29, 34,35 (more of these would not hurt); 5.4: 11, 12, 15,16,17,18,21,22,25,26

**Thursday July 9 :**7.1 Vectors and Matrices

4.6 due

**Monday July 13 :**7.2 systems with two or three variables

5.5: 12,13,16,17,22,23,27-29,32*,33*; 5.6: 2-4.

5.1 and 5.2 due

**Tuesday July 14 :**7.3 Solving Systems of Equations

6.1: 2-7; 6.2: 2-5. This corrects the typo. I'm putting it a day later because Im going to do a 6.2 example Monday.

5.3 and 5.4 due

**Wednesday July 15 :**7.4,7.5 Properties of Solution Sets, Subspaces

5.5/6 due

**Thursday July 16 :**Test III

**Monday July 20 :**7.6, 7.7 Square matrices, Determinants

7.1: 16-19 (good matrix calculation practice); 34,35,39,40; 52-54. 7.2: 5,6,17,18,21,22; 7.3: 1-10. I'll have more to say about technique for solving systems tomorrow. I'm giving an extended due date.

**Tuesday July 21 :**8.1 Systems: Definitions and Examples

6.1/2 due.

**Wednesday July 22 :**8.4: Linear Systems

8.5: 7-10, 20-26

**Thursday July 23 :**9.1: Overview of the Technique (for linear systems with constant coefficients)

8.4 23-27 (word problem setups); 9.1: 16,17,20,21,25-27; 9.2: 5,6,11,12,20,21. This is a lot of stuff; use your weekend wisely.

Ch 7 practice due

**Monday July 27 :**9.2: Planar Systems

9.3: 10-15. I don't especially like these problems, but I don't see better ones (I'd rather start with a matrix, solve the equation, then sketch the solutions). Last homework assignment: due at the final.

8.5 due

**Tuesday July 28 :**11.1,11.2 intro to series solutions

8.4 due

**Wednesday July 29 :**review/overflow

9.1/2 due

**Thursday July 30 :**Final Exam