The following table gives a tentative list of topics and reading for the course. There could be changes along the way (that will always be announced in class) if we need to adjust the pace of the course or add material of interest. Also included are recommended problems from the text. You should be working problems continuously throughout the course! They will not be collected or graded, but they can always be discussed in class or office hours. These suggested problems represent a minimum diet. The book has plenty of problems, so don't hesitate to explore unassigned problems. You need to decide when you have worked enough problems to achieve mastery of a topic. Text: Modern Differential Equations, by Abell and Braselton.

Topic	Reading	Problems
Introduction	Section 1.1	1,2,4,5,10
Solutions of ODEs	Section 1.2	1,2,3,6,13,19,20
Intital values	Section 1.3	1,3,4,11
Direction fields	Section 1.4	1,3,4,11
Separable ODEs	Section 2.1	1,4,7,16,43,46,55,58-61
Exact ODEs	Section 2.3	11,14,17,19
First order linear ODEs	Section 2.4	1,3,6,11,25,27,38-40,48
Review problems		1-25
Population growth	Section 3.2	2,5,7,11,12,17,22
Free falling bodies	Section 3.4	1,3,11,20
Linear independence	Section 4.1	1,3,7,9,21
Fundamental sets	Section 4.2	1,3,5,7,9
Linear constant coeff ODEs	Section 4.3	1,6,11,15,19,25,43,45
Nonhomogeneous ODEs	Section 4.4	3,5
Nonhomogeneous ODEs	Section 4.6	3,6,10,15,19,23,43,45,62-64
Mechanics problems	Section 5.1	3,5,7,13
Mechanics problems	Section 5.2	7,11,23
Pendulum problem	Section 5.5	1a,3a,11
Laplace transforms	Section 7.1	3,7,15,19,23
Laplace transforms	Section 7.2	5,9,17,21,29,39
Inverse Laplace transforms	Section 7.3	3,5,9,13
IVPs with Laplace transforms	Section 7.4	3,5,6,7,11,17
Convolution theorem	Section 7.6	3,5,7,9,13,15
Cauchy-Euler ODE	Section 6.1	3,4,9,15,41
Power series review	Section 6.2	3,5,7
Power series solutions	Section 6.3	7,13,17,32,33,35
Systems of Linear ODEs	Section 8.4	3,5,7,9,11