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 7 :

Chapter 1 (review), 2.1 (Differential Equations and Solutions)

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

• Tuesday June 8 :

2.2 (Separable Equations)

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

• Wednesday June 9 :

2.4 (Linear Equations)

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

2.1 due

• Thursday June 10 :

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 14 :

2.6 (Exact Equations)

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

2.4 due

• Tuesday June 15 :

2.7 (Existence and Uniqueness of Solutions)

2.7: 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!]

• Wednesday June 16 :

2.8 (Dependence of Solutions on Initial Conditions); 2.9 (autonomous equations and stability)

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

2.5 due (extended one day), 2.6 due

• Thursday June 17 :

Test I

covers sections 2.1-7 (of course not 2.3).

• Monday June 21 :

3.1 (modelling population growth); 3.4 (electric circuits)

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

• Tuesday June 22 :

4.1 (Definitions and Examples),4.2(Second-Order Equations and Systems) [accidentally skipped this and went on to 4.3]

4.1: 13-16,22,23 .

2.8/9 due

• Wednesday June 23 :

4.3 (Linear Homogeneous Equations with Constant Coefficients)

4.3: 3,4,7,9,10,14, 15,17,18,25,28,29,32.

3.1 due; 3.4 due

• Thursday June 24 :

4.4 (Harmonic Motion) [I'm going to talk a little about 4.1 and do examples, and stay on schedule; I might start 4.5 but we will still be doing 4.5 and 4.7 on Monday].

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

• Monday June 28 :

4.5 (Inhomogeneous Equations: Undetermined Coefficients); 4.7 (Forced Harmonic Motion)

4.5: 1-6,16,17,18-21,24-27; 4.7: 9-11, 16-19.

4.1 and 4.3 due.

• Tuesday June 29 :

4.6 (Variation of Parameters)

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?].

4.4 due

• Wednesday June 30 :

5.1,5.2 (Definition and Basic Properties of Laplace Transform)

5.1: 1,3,5,6,10,25,28; 5.2 1,2,5,6,8,11,12.

4.5 due

• Thursday July 1 :

5.3,5.4 (Inverse Laplace Transforms; using Laplace Transforms to Solve Differential Equations)

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

4.6 due; also 4.7 due.

• Monday July 5 :

Independence Day – no classes

• Tuesday July 6 :

Test II

• Wednesday July 7 :

5.5,5.6 (Discontinuous Forcing Terms; Delta Function)

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

5.1 and 5.2 due

• Thursday July 8 :

6.1,6.2 (Euler's Method, Runge-Kutta Methods)

6.1: 2-7; 6.2: 2-5.

5.3 and 5.4 due

• Monday July 12 :

Chapter 7 coverage

[this is not the assignment, see Wednesday; Im just leaving this here so I can paste bits of it into next assignment]. 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 will probably rethink how I do chapter 7; this depends on where we actually are when we get to it.

5.5/6 due

• Tuesday July 13 :

Chapter 7 coverage

6.1/2 due.

• Wednesday July 14 :

Chapter 7 coverage

7.1: 16-19 (good matrix calculation practice); 34,35,39,40; 52-54 [this is all matrix and vector calculation which should be review; we will be doing more of it on Monday].

• Thursday July 15 :

Test III

• Monday July 19 :

8.4 (Linear Systems) and 8.5 (properties of linear systems)

7.2: 17,18,21,22;7.3: 1-10.

6.2 due: 5.6 and 6.1 still accepted.

• Tuesday July 20 :

8.4/5 continued

Matrix inverses, determinants and eigenvalues: 7.6 in problems 10-14, compute the inverses of the given matrices if they exist (a matrix is nonsingular if it has an inverse, otherwise singular); 7.7: 22-29,46,47. Just compute determinants. I will explain the “nullspace” bit but Im not looking for it. 9.1 1-4,9,10. Ignore 8.4 stuff, it is here to copy to correct place below later. 8.4 23-27 (word problem setups)

7.1 due

• Wednesday July 21 :

9.1/2

8.5: 7,8,23,24; 9.1: 17,20,25,26 (I'll do a three by three in class); 9.2: 5,6,11,12,20,21,26,27. Doing more odd problems could do no harm if you have time.

7.2/3 due

• Thursday July 22 :

9.1/2

• Monday July 26 :

9.3

8.4 22-27; 9.2: 58,60,61

7.6.7.7/9.1 assignment due

• Tuesday July 27 :

11.1,11.2 intro to series solutions (?)

9.3 13-15, 16,17,20,21

8.5/9.1/2 due

• Wednesday July 28 :

review/overflow

8.4/9.2 due

• Thursday July 29 :

Final Exam

9.3 due