Fall 2003

MA232 Differential Equations - Syllabus

Day	Date		Topics
Tues.	Aug. 26		Hello and Introduction, Sections 1.1, 1.2, 1.3.
Thurs.	Aug 28		Separable Equations, Section 2.2,  Linear Equations with variable Coefficients, Section 2.1
Tues.	Sept. 2		1.2 More about graphical interpretations. 2.7 Numerical Methods: Euler Method
Thur.	Sept. 4		3.1 Homogeneous, Const Coeff, Section
Tues.	Sept. 9		3.2 Fundamental Solutions of Linear Homogeneous Equations
Thurs.	Sept. 11		3.3 Linear Independence and Wronskian, & Start Complex
Tues.	Sept. 16		Complex Continued, 3.4 Complex Roots of Characteristic Equations
Thurs.	Sept. 18		3.5 Repeated Roots; Reduction of Order
Tues	Sept. 23		Review for Exam
We. Evening	Sept. 24		Exam 1
Thurs	Sept 25		3.5 Repeated Roots: Reduction of Order
Thurs.	Oct. 2		3.8 On Oscillators, Homogeneous-Under/Critial/Over Damped 3.6 Nonhomogeneous Equations, Method of Undetermined Coeff
Tues.	Oct. 7		3.7 Variation of Parameters
Thurs.	Oct. 9		3.8-3.9 Mechanical Oscillators and Beats and Resonance
Tues.	Oct. 14		Review
Tues.	Oct. 14		Exam 2
Thurs.	Oct. 16		3.7 Variation of Paramaters
Tu.	Oct 22.		6.1 Intro to Laplace Transform.
Thurs.	Oct 24.		6.2 Initial Val. Problems and Laplace Transform
Tues.	Oct. 28		6.2, 6.3 and step function
Thurs	Oct. 30		6.3, 6.4 and discontinuous forcing odes
Tues	Nov. 4		6.4, 6.5 and impulse functions
Thurs	Nov 6		Linear Algebra Handout up to Inverse
Tu.	Nov 11		Review
We.	Nov12	Exam 3
Th.	Nov 12			A.4, A.5 (General systems and the inverse)
Tu.	Nov 18			A.5, A.6 (The inverse and about rank)
Th.	Nov 20			A.6, A.7 (About the rank and the determinant)
Tu.	Nov 25			7.1 Motivate systems of ODEs systems, 7.3 Eigenvalues/vectors start 7.5 Solve systems of ODEs with Eigenvalues/vectors
Tu.	Dec. 02			7.5 Solve systems of ODEs with Eigenvalues/vectors 7.6 Solve systems of ODEs with Eigenvalues/vectors where complex eigenvalues…sins and cosines…
Th.	Nov 27			Review