*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