Text: Differential Equations, 4th edition, Blanchard, Devaney, Hall
Throughout the course, use Winplot instead of the software mentioned in the text.

Textbook homework will not be collected.  Make sure you know how to do all these problems, and ask questions in class about anything that does not make sense.  All of this material is fair game for the midterm and final exam.

Section 1.1: Modeling via differential equations
1.1 (p. 14) #1, 3, 5, 11, 13, 14, 15, 17, 21, 22

Section 1.2: Separation of variables (analytic technique)
p. 33 #1, 3, 5, 7, 9, 11, 13, 21, 27, 33, 39, 41

Section 1.3: Slope fields (qualitative technique)
p. 47 #2, 4, 7, 9, 11, 13, 16, 17, 18

Section 1.4: Euler's method (numerical technique)
p. 61 1, 2, 5, 6, 9, 15 (use technology as desired, but be sure you can reproduce the underlying calculations if asked)

Sections 1.5: Existence and uniqueness of solutions
p. 71 #1-11 odd, 12, 14

Section 1.6: Equilibria and the phase line
p. 89 #1, 3, 5, 6, 7, 9, 11, 13, 18, 29, 30, 37, 39

Section 1.7: Bifurcations
p. 106 #1, 3, 5, 9, 11, 13, 15

Sections 1.8: First order linear differential equations (undetermined coefficients method)
p. 121 #1, 4, 8, 9, 17, 18, 20, 29

Section 1.9: First order linear differential equations (integrating factor method)
p. 133 # 2, 4, 7, 11, 13, 24, 25

Sections 2.1: Modeling via systems
p. 161 #1-7 all, 19, 23

Section 2.2: Geometry of first order systems
p. 178 #2, 5, 7, 11, 13, 16, 21, 25

Section 2.3: The damped harmonic oscillator
p. 187 #1, 3

Section 2.4: Analytic methods for special systems
p. 194 #1, 3, 5, 7, 9, 10

Section 2.7: The SIR model of an epidemic
p. 214 #1, 3, 5, 6, 7

Section 3.1: Properties of linear systems and matrix notation
p. 258 #5, 7, 9, 13, 17, 25, 26, 29

Section 3.2: Straight-line solutions to linear systems, eigenvectors, eigenvalues
p. 277 #1, 3, 11, 15, 16, 20, 21

Sections 3.3: Phase planes and solutions for linear systems with real eigenvalues
p. 293 #1, 3, 9, 13, 21, 23

Section 3.4: Phase planes and solutions for linear systems with nonreal eigenvalues
p. 310 #1, 3, 5, 7, 9, 11, 15, 25

Section 3.5: Special cases: repeated and zero eigenvalues
p. 327 #1, 3, 5, 7, 9, 11, 17, 19, 21, 22

Section 3.6: Second-Order Linear Equations
p. 342 #1-11 odd, 13, 21

Section 3.7: The Trace-Determinant Plane
p. 358 #1, 2, 3, 5, 7, 11