Math 23, Winter 2005

Differential Equations

General Information Syllabus Homework Assignments Exam Related


Syllabus

The following is a tentative syllabus for the course.  X-hours will occasionally be used in place of or in addition to scheduled lectures.


Lectures Sections in Text Brief Description
Day 1:  1/5 1.1, 1.2, 1.3 Introduction, classification of differential equations, direction fields
Day 2:  1/7 2.2, 2.6 Separable and exact DEs
Day 3:  1/10 2.1, 2.4 Linear and nonlinear equations
Day 4:  1/12 2.3 Modeling with 1st order DEs
Day 5:  1/14 3.1, 3.4, (3.5) Homogeneous DEs with constant coefficients, complex and repeated roots
1/17 Martin Luther King Day - Class moved to x-period
1/18   Last day to add/drop
Day 6:  1/19 3.2, 3.3 Fundamental solutions, linear independence, Wronskian
Day 7:  1/20 3.5 Reduction of order
Day 8:  1/21 3.6, 3.7 Nonhomogeneous equations, undetermined coefficients, variation of parameters
Day 9:  1/24 3.8, 3.9 Mechanical vibrations, forced vibrations
Day 10:  1/26 7.1 Systems of DEs
Day 11:  1/28 7.2, 7.3, 7.4 Matrices, eigenvalues, eigenvectors
Day 12:  1/31 First midterm exam
Day 13:  2/2 7.5, 7.6 Systems of DEs, real distinct and complex eigenvalues
Day 14:  2/3 7.6, 7.8 Systems of DEs, complex and repeated eigenvalues
Day 15:  2/4 2.5, 9.1 Critical points of autonomous 1st order DEs, phase portraits of linear systems
Day 16:  2/7 9.2 Autonomous systems and stability
Day 17:  2/9 9.3 Almost linear systems
Day 18:  2/10 5.1 Review of series
2/11 Winter Carnival - Class moved to x-period
Day 19:  2/14 5.2 Series solutions
Day 20:  2/16 5.3 Series solutions
Day 21:  2/18 10.1, 10.2 Fourier series
Day 22:  2/21 Second midterm exam
Day 23:  2/23 10.3, 10.4 Fourier Convergence Theorem, even and odd extensions
2/23   Last day to drop
Day 24:  2/25 10.5 Heat equation, separation of variables
Day 25:  2/28 10.6 Other heat equations: nonhomogeneous and insulated ends
Day 26:  3/2 10.7 Wave equation
Day 27:  3/4 10.8 Laplace equation
Day 27:  3/7 No class
Day 28:  3/9 10.7, 10.8 Review