Section: 2 (Honors)
Time: 9-9:50 MWRF
Meeting Room: EE105 Engrg
Instructor: Jaak Vilms
Office:
EE114 Engrg
Phone:
491-5153
Email:
vilms@math.colostate.edu
Office Hours: 3-4p MW, 10-11a RF
Text:
Differential Equations
by
Edwards and Penney
Course Outline:
M340 - Sec. 2H - Syllabus 1 Spring 99
Instructor: Prof. J. Vilms, E114 Engrg
e-mail: vilms@math.colostate.edu
phone: 207-1909 (home), 491-5153 (office),
491-6327 (math office)
Text: Differential Equations, Edwards & Penney, 1996
Programmable graphing calculator required.
------------------------------------------------------------
M Jan 18 MLK Holiday
W 20 1.1-2 Intro, Models
R 21 1.3 Slope fields, Solution curves
F 22 1.3 Existence and uniqueness theorem
M 25 1.4 Separable eqns
W 27 1.4 Applied problems
R 28 1.5 Linear 1st order eqns
F 29 1.5 Mixture problems
M Feb 1 1.6 Substitution tricks
W 3 1.6 Exact equations
R 4 2.1 Logistic equation
F 5 2.1 continued
M 8 2.3 Acceleration and velocity probs
W 10 2.4 Euler's method for approx solus
R 11 2.5 More on Euler's method
F 12 2.5 continued
M 15 3.1 2nd order linear eqns
W 17 3.1 2nd order linear, const coeffs
R 18 3.2 nth order linear eqns
F 19 3.2 continued
M 22 3.3 nth order linear, const coeffs
W 24 3.3 continued
R 25 3.4 Vibration problems
F 26 3.5 Nonhomogeneous eqs
M Mar 1 3.6 Forced oscillations, resonance
W 3 3.6 continued
R 4 Review
F 5 MIDTERM EXAM
M 8 Spring Vacation
W 10
R 11
F 12
M Mar 15 7.1 Laplace transforms and inverses
W 17 7.1 continued
R 18 7.2 Solving initial value problems
F 19 7.2 continued
(* W drop period ends Monday, March 22)
M * 22 7.3 Translations, Partial fractions
W 24 7.3 continued
R 25 7.4 Convolution, Derivs, Integrals
F 26 7.5 Waves and sawtooths
M 29 7.5 continued
W 31 7.6 Impulse, Delta function
R Apr 1 7.6 continued
F 2 4.1 1st order systems of eqns
M 5 4.2 Method of elimination
W 7 5.1 Matrices, determinants
R 8 5.1 1st ord linear systems via matrices
F 9 5.1 continued
M 12 5.2 Eigenvalue method
W 14 5.2 continued
R 15 5.3 2nd order linear systems
F 16 5.3 continued
M 19 5.4 Multiple eigenvalue case
W 21 5.4 continued
R 22 5.5 Matrix exponentials
F 23 5.5 continued
M 26 2.2 Lyapunov and asymptotic stability
W 28 2.2 continued
R 29 6.1 Stability of autonomous lin systems
F 30 6.1 continued
M May 3 6.2 Analysis of stability at critical pts
W 5 6.2 continued
R 6 Review, Student course survey
F 7 Review
Friday, May 14 at 7 am - FINAL EXAM
Examinations:
One Midterm Exam, plus Final Exam
Grading Policy:
Grade: Midterm Exam = 25 %
Quizzes = 25 %
Homework = 10 %
Final Exam = 40 %
Course Coordinator: Prof. Gerhard Dangelmayr