Math 334  Ordinary Differential Equations  Fall 2021
Class Information
Instructor: Tuan Pham
Class meetings:
Section 2: MWF 11:00  11:50 AM at JKB 3104.
Section 3: MWF 12:00  12:50 PM at JKB 3104.
Class meeting may be livestreamed/recorded upon request: Zoom link,
camera control (ask instructor for code).
[Syllabus]
[Learning Suite]
[Class Schedule]
[Homework Schedule]
Office Hours
Monday, Wednesday 1:00  2:00 PM, Friday 1:30  3:00 at 265 TMCB (in person)
Tu 2:30  4:00 PM on Zoom: office hours Zoom link
Assignments
Homework is to be submitted on Learning Suite. The schedule of homework assignments is in a link above.
Optional review problems of each chapter are given on Learning Suite as multiple choice questions.
Lecture notes
Review for Final exam (Dec 8)
Lecture 39 (Dec 6): solving a nonhomogeneous system of ODEs
Lecture 38 (Dec 3): improper nodes, fundamental matrices
Lecture 37 (Dec 1): spiral points, center points
Lecture 36 (Nov 29): classification of equilibrium states: nodes, saddle points
Lecture 35 (Nov 23): classification of equilibrium states
Lecture 34 (Nov 22): linear (in)dependence, solving Y'=AY where A is a constant matrix
Lecture 33 (Nov 19): convert a system of ODEs with constant coefficients into a single ODE
Lecture 32 (Nov 17): solve systems of linear ODEs; differentiate and integrate matrix functions
Lecture 31 (Nov 15): system of ODEs
Lecture 30 (Nov 12): convolution
Lecture 29 (Nov 10): Dirac forcing
Review for Midterm II (Nov 8)
Lecture 28 (Nov 5): vibration with discontinuous forcing
Lecture 27 (Nov 3): Laplace transform of piecewise functions
Lecture 26 (Nov 1): apply Laplace transform to solve ODEs
Lecture 25 (Oct 29): Laplace transform
Lecture 24 (Oct 24): analytic functions (continued)
Lecture 23 (Oct 23): analytic functions
Lecture 22 (Oct 22): power series method to solve ODEs
Lecture 21 (Oct 20): power series
Lecture 20 (Oct 18): linear ODE of n'th order (continued)
Lecture 19 (Oct 15): resonance; linear ODE of n'th order
Lecture 18 (Oct 13): forced vibration
Lecture 17 (Oct 11): massspring mechanical vibration
Lecture 16 (Oct 8): variation of parameters
Lecture 15 (Oct 6): method of undetermined coefficients (continued); Correction
Review for Midterm I (Oct 4)
Lecture 14 (Oct 1): method of undetermined coefficients
Lecture 13 (Sep 29): summary of solving linear 2nd oder ODE with constant coefficients; reduction of order
Lecture 12 (Sep 27): characteristic equation with complex roots or double root
Lecture 11 (Sep 24): Abel's theorem; homogeneous linear 2nd ODE; Correction
Lecture 10 (Sep 22): 2nd order ODE: existence and uniqueness; homogeneous equations with constant coefficients
Lecture 9 (Sep 20): exact differential equations; second order ODE
Lecture 8 (Sep 17): autonomous first order ODE, equilibrium states, phase line
Lecture 7 (Sep 15): existence and uniqueness; autonomous first order ODE
Lecture 6 (Sep 13): compound interest; existence and uniqueness
Lecture 5 (Sep 10): separation of variables; the mixing problem
Lecture 4 (Sep 8): method of integrating factor
Lecture 3 (Sep 3): direction fields
Lecture 2 (Sep 1): examples and classifications of differential equations
Lecture 1 (Aug 30): introduction
Supplement materials
An example on fundamental matrix
Classification of equilibrium states
Clarify an example in class on 11/15/21
Solution to Midterm 2
Finish an example in class on 11/5/21
Finish an example in class on 11/1/21
Hints for Problem 8 and 21 of 6.1
Help with Problem 5 of 5.3
Solution to Midterm 1
Finish an example in class on 10/13/21
Mathematica instructions for Problem 20, HW 11.
Stepbystep solution to an example in class on 9/29/21
Plotting direction fields.
Access and first experiments on Mathematica.
Video lectures on Differential Equations by Prof. Gilbert Strang.
Links
Mathematics Labroom (for help or tutoring service)
Department of Mathematics
 This page was last modified on Wednesday, December 8, 2021

