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Office hours |
Mondays 1:30-2:30, Wednesdays 3:00-4:00, and by appointment. All office hours are in Room 318, Eckhart Hall. |
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Class Meeting Times |
MWF 12:30-1:20, Room 016, Albert Pick Hall for International Studies, 5828 S. University Ave. |
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Textbooks |
Elementary Differential Equations and Boundary
Value Problems: Eighth Edition, |
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Exams |
In-Class Exam I: Wednesday, April 11th Solutions |
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Syllabus |
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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 delta-function, 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, Cauchy-Riemann 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 337-339: 1, 5 (you may draw the forcing function by hand) |
April 4th |
Read Chapter 1 |
April 11th |
Read Sections 2.1-2.9, 3.1-3.6 |
April 18th |
Read Sections 3.7-4.2 |
April 25th |
Read Sections 4.3-5.2 |
May 2nd |
Read Sections 5.3-5.8 |
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 6.3-6.6 of Boyce and DiPrima |
Practice for Final |
6.4 Pages 337-339: 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.