MATH 2552 Spring 2019

Ordinary Differential Equations

F and L Sections

Lectures

F Sections: TTh 12:00-1:15 PM, MoSE GO 11
L Sections: TTh 3:00-4:15 PM, Boggs B9

INSTRUCTOR: John McCuan, 209 Skiles
Office Hours: TTh 1:30-2:30 or by appointment
Email: gtspring19 pm.me

Course Page: http://www.math.gatech.edu/~mccuan/courses/2552/

Recitations MW 1:55-2:45 PM,

Section F1 MW 11:15-12:05
TEACHING ASSISTANT: Thibaud Alemany
Skiles 268
Office Hours: Tue 11:00-12:00

Section F2 11:15-12:05
TEACHING ASSISTANT: Jaemin Park
Skiles 269
Office Hours: Fri 12:30-1:30 Cluck 280

Section F3 MW 12:20-1:10
TEACHING ASSISTANT: Thibaud Alemany
Skiles 268
Office Hours: Tue 11:00-12:00

Section F4 MW 12:20-1:10
TEACHING ASSISTANT: Jaemin Park
Skiles 269
Office Hours: Fri 12:30-1:30 Cluck 280

Section L1 MW 4:30-5:20
TEACHING ASSISTANT: Xingyu Zhu
Skiles 168
Office Hours: TTh 3:00-4:00 Cluck 280 or by appointment

Section L2 MW 4:30-5:20
TEACHING ASSISTANT: Yuqing Wang
Skiles 169
Office Hours: Fri 1:30-2:30 Cluck 280

Section L3 MW 6:00-6:50
TEACHING ASSISTANT: Xingyu Zhu
Skiles 168
Office Hours: TTh 3:00-4:00 Cluck 280 or by appointment

Section L4 MW 6:00-6:50
TEACHING ASSISTANT: Yuqing Wang
Skiles 169
Office Hours: Fri 1:30-2:30 Cluck 280

Text: An Introduction to Modern Methods & Application (3rd Edition)
James R. Brannan & William E. Boyce

Topics/Sections Covered: Topics from Chapters 1-8

Grading Scheme:

Homework 15%
Exam 1 27%
Exam 2 28%
Final Exam 30%

(Below 60% F; 60-69% D; 70-79% C; 80-89% B; 90-100% A)

HOMEWORK   Homework will be collected in recitation on Wednesday and checked for completion.

Recitation Worksheets

Dates of Exams (tentative):

Exam 1 Thursday February 14  
Exam 2 Tuesday April 2  

Final Exams:

F Sections: Thursday May 2   (11:20-2:10)
L Sections: Tuesday April 30   (2:40-5:30)


Exams are cumulative.

No calculators, notes, or other aids may be used during exams.

Policy on missed exams: Official written excuse required.

Link to GT code

If you want to meet me during office hours, send an email to let me know. If you want to meet me outside office hours, send me an email and let me know.

Sample Exams:

Exam 1
Note: This practice exam was prepared from the previous edition of the text, so topics may vary slightly.
Updated Practice Exam 1
The list of topics on the previous exam should be modified for the updated exam (Spring 2019) in the following manner: No numerical methods are covered on the updated exam. Some elementary aspects of systems (linearity, existence and uniqueness, equilibria for autonomous systems, and solving linear systems when there is a basis of real eigenvectors) are now included.
Exam 2
Exam 2 (updated from a previous semester)
The list of topics on this exam from a previous semester should be updated to *include* linearization and phase plane techniques as well as population systems. Some material on "elementary oscillators" is not included on the 2019 exam, but some of it is---the main topics that are *not* included are the "trigonometric tricks" related to periodic forcing of a linear oscillator (beats and resonance). These are not included.
Updated (2019) Practice Exam 2
Final Exam
some solutions
new/updated practice final

Practice Final Exam Spring 2019

Table of Laplace transforms for the final

Extra Materials:

Calculus Review

Matlab Tutorial by Tobias von Petersdorff

Another direction field and phase plane plotter from John Polking of Rice (recommended by Stefan Abi Karam)

Classification of equilibrium points by Gerhard Dangelmayr of Colorado State

Direction Fields (Mathematica notebook) pdf

numerical solutions I (Mathematica notebook) pdf

numerical solutions II (Mathematica notebook) pdf

numerical solutions III (Mathematica notebook) pdf

Simple Euler Method

matrix exponentiation and ODEs

An oscillator problem (Mathematica notebook) with several errors pdf

An oscillator problem (Mathematica notebook) corrected version pdf

An oscillator problem with discontinuous forcing (Mathematica notebook) pdf

An oscillator problem with discontinuous forcing (Mathematica notebook) pdf

A nonlinear system (Mathematica notebook) pdf

Stopping a linear oscillator with an impulse

Slope Field Generator + Euler's Method

Euler's Method pdf

Plotting a slope field pdf

Problem 2.6.4 in Brannon and Boyce

More on problem 2.6.4 pdf

Solving a system numerically pdf

Exercise 7.2.23 pdf

Exercise 4.6.6,8 pdf
First Lecture

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