Spring 1999

M 340 : Introduction to Ordinary Differential Equations

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