

Office hours 
Mondays 1:302:30, Wednesdays 3:004:00, and by appointment. All office hours are in Room 318, Eckhart Hall. 

Class Meeting Times 
MWF 12:301:20, Room 016, Albert Pick Hall for International Studies, 5828 S. University Ave. 


Textbooks 
Elementary Differential Equations and Boundary
Value Problems: Eighth Edition, 

Exams 
InClass Exam I: Wednesday, April 11th Solutions 

Syllabus 

Topics Covered 
Direction fields, classification of differential equations, integrating factors, separable equations, modeling, linear versus nonlinear equations, population dynamics, exact equations, Euler's method, existence and uniqueness theorem, Picard's Iteration Method, difference equations, second order homogeneous equations with constant coefficients, fundamental solution sets, Wronskians, linear independence, characteristic equation and solutions, method of undetermined coefficients, variation of parameters, vibrations, higher order equations, power series review, power series solutions near an ordinary point, power series solutions near a regular singular point, Laplace transform and initial value problems, step functions, equations with discontinuous forcing functions, Dirac deltafunction, convolution, geometry of the complex plane (circles and lines), triangle inequality, open subsets, curves, complex functions, complex sequences, complex power series, complex exponential and trigonometric functions, line integrals, Green's Theorem, analytic and harmonic functions, CauchyRiemann equations, Cauchy's Theorem, Cauchy's Formula, isolated singularities, Residue Theorem, and applications to definite integrals. 
Homework: Homework is due at the beginning of class on Wednesdays. All exercises are in Boyce and DiPrima, until we use Fisher later in the quarter. Use Mathematica or MatLab for the exercises marked with a "mouse symbol" in the text, and hand in the printouts.
Due 
Homework Assignment 
Practice for Final 
6.4 Pages 337339: 1, 5 (you may draw the forcing function by hand) 
April 4th 
Read Chapter 1 
April 11th 
Read Sections 2.12.9, 3.13.6 
April 18th 
Read Sections 3.74.2 
April 25th 
Read Sections 4.35.2 
May 2nd 
Read Sections 5.35.8 
May 9th 
Read Chapter 1 of Fisher Complex Variables 
May 16th 
Read Chapter 2 of Fisher Complex Variables (leave out 2.1.1 and 2.3.1.) 
May 23rd 
Read Chapter 2.5 and 2.6 of Fisher Complex Variables. 
May 30th 
Read 6.36.6 of Boyce and DiPrima 
Practice for Final 
6.4 Pages 337339: 1, 5 (you may draw the forcing function by hand) 
Remark: The code for this site goes back to Miklos Abert – who got it from someone else.