MATH 266 Ordinary Differential Equations Fall 2020

Instructor: Otávio Menezes

Lectures: MWF 8:30am (Section 035) or 9:30am (Section 034). The 8:30am lectures will be recorded and posted on Brightspace on the same day (go to Course Tools - Kaltura Media Gallery).

Each section was split into two groups. Group 1 goes to class on Mondays, Group 2 on Wednesdays and the two groups alternate on Fridays. Check Prof. Brown's calendar if you are unsure of which group is to attend on a given day.

The lecture notes will be posted on this page (links on the Calendar at the bottom) and on Brightspace (Content - Lecture notes).

Online Homework: check the due dates in MyLabMath (3 assignments a week, always due Monday at 11:59pm). You can access MyLabMath through Brightspace (Content - PearsonMyLab - MyLab & Mastering Basics). Here is a Quick student guide to MyLabMath.

Written Homework: the assignments can be found here and will be posted on Gradescope (on Brightspace, click Content, then Gradescope) . The solutions are to be uploaded to Gradescope. Tutorial on how to submit an assignment.
HW 31, 32 and 33 due Monday, November 23 at 23:59 pm


Three computer projects (Submit through Brightspace)

Midterm 1: October 9 , covering up to Section 3.3. ONLINE, delivered through Gradecope.  PRACTICE EXAM solutions

Midterm 2: November 18, covering Sections from 3.4 to  5.7. ONLINE, delivered through Gradescope. PRACTICE EXAM

Office hours: MWF 10:30am - 11:30am online via Webex (link on Brightspace). If these times don't work for you in a particular week, feel free to email me so we can schedule a different time. Scheduling is also required for face-to-face office hours.

Resources:


Calendar We will cover the sections of the textbook listed in the assignment sheet, in that order.

Date HW
 Topics covered
8/24 notes video 1 1.1 -  ODEs and their solutions
8/26 notes video
2
 1.2 - y' = f(x)
8/28 notes video
3
 1.3 - Slope fields
8/31 notes video
3 1.3 - Existence and uniqueness
9/2 notes video alternative video
4
 1.4 - Separable equations
9/4 notes video
5 1.5 - 1st order linear equations
9/7 notes video
6 1.5 - Mixing problems
9/9 notes video
8 1.6 - Exact equations
9/11 notes video
7 1.6 - Substitution and homogeneous equations
9/14 notes video
7 1.6 - Homogeneous and Bernoulli equations
9/16 notes video
9, 10 2.1 and 2.2 - Population models, equilibrium, stability
9/18 notes video supplementary video
9, 10 2.2 - Stability and bifurcations
9/21 notes video
11 2.3 - Acceleration-velocity models
9/23 notes video
12 2.4 and 2.5 - Numerical solutions via Euler's method
9/25 notes video
13 3.1 - Second-order linear equations
9/28 notes video
14 3.2 - General solutions of linear equations
9/30 notes video
14, 15, 16 3.2 and 3.3 - Using a known solution to find another / table of solutions of linear homogeneous equations with constant coefficients
10/2 notes video
17 3.4 - Mechanical vibrations
10/5 notes video
18, 19 3.5 - Nonhomogeneous linear equations, undetermined coefficients
10/7 notes video
18,19 3.5 - Undetermined coefficients, variation of parameters
10/9

Midterm 1 (NO LECTURE)
10/12 video notes applet
20, 21
 3.6 - Forced vibrations
10/14 video notes applet
22, 23
 4.1 - First-order systems
10/16 video notes
22, 23
 4.2 - Method of elimination
10/19 video notes
23, 24
 5.1 - Review of matrices and linear systems
10/21 video notes
23, 24
 5.1 - Review of matrices and linear systems
10/23 video notes
25, 26
 5.2 - The eigenvalue method for homogeneous systems
10/26 video notes
25, 26
 5.2 - Characteristic polynomial, examples of the eigenvalue method
10/28 video notes
27
 5.5 - Multiple eigenvalue solutions
10/30 video notes supplementary video
27
 5.5b - Chains of generalized eigenvectors
11/2 video applet
28
 5.3 - Phase portraits of 2d linear systems of ODEs
11/6 video notes
29
 5.6 - Fundamental solutions and matrix exponentials
11/9 video1 video2 notes
29
 5.6b - Computation of some matrix exponentials
11/11 video notes
29
 5.7 - Nonhomogeneous systems
13/11 video notes
31, 34
 7 - Laplace transforms I
11/16 video notes
32, 33 7 - Laplace transforms II (solution of IVPs)
11/20 video notes
35 7 - Laplace transforms III (step functions)
11/23 video notes
35 7 - Laplace transforms IV (derivatives and convolutions)