Week
Topics
Chapters
1/11-1/15
introduction, linear equations
1.1-1.3, 2.1
1/18-1/22
linear equations, seperable equations
(no class on Mon. 1/18), 2.1, 2.2
1/25-1/29
modeling, difference
2.3, 2.4
2/1-2/5
autonomous equations, constant coefficients,
fundamental solutions
2.5, 3.1, 3.2
2/8-2/12
Wronskian, complex roots
3.2, 3.3, 3.4
2/15-2/19
repeated roots, nonhomogenemous equations
3.4, 3.5
2/22-2/26
nonhomogenemous equations, review I, mechanical vibrations
3.5, review I, 3.7
3/1-3/5
nth order linear equations, homogeneous equations, Laplace transform
4.1, 4.2, 6.1
3/8-3/12
Spring break, no classes
(no classes)
3/15-3/19
initial value problems, step functions
6.2, 6.3
3/22-3/26
review II (2 classes), step functions
review IIa, review IIb, 6.3
3/29-4/2
discontinuous forcing functions, impulse functions, systems of ODE's
6.4, 6.5, 7.1
4/5-4/9
classification of critical points, phase portraits
7.5-7.8
4/12-4/16
critical points, phase portraits, nonhomogeneous systems,
numerical methods
7.8, 7.9, 8.1
4/19-4/23
phase plane, autonomous systems and stability, locally linear systems
9.1, 9.2, 9.3
4/26-4/30
locally linear systems, final review (2 classes)
9.3, final reviews a, b
Dates of the two midterm examinations: