MATH 308/502-521: DIFFERENTIAL EQUATIONS

Fall 2019

General information

Instructor:	Diane Guignard
Classes:	MWF 09:10am-10:00am in BLOC 128 (Section 502)
	MWF 11:30am-12:20pm in BLOC 149 (Section 521)
Office hours:	MWF 10:15am-11:15am, or by appointment, in BLOC 608P
Extra help:	Week-in-Review sessions schedule
	Help sessions schedule
Textbook:	Elementary Differential Equations and Boundary Value Problems (11th edition)
	by William E. Boyce, Richard C. DiPrima, and Douglas B. Meade
Syllabus:	syllabus.pdf (updated 09/03, added Course Objectives and WIR)

Important dates

Date	Event
October 4	Exam 1 (in class)
November 8	Exam 2 (in class)
November 15	Q-drop deadline (5:00pm)
December 9	Final exam for Section 502 (08:00am-10:00am in BLOC 128)
December 11	Final exam for Section 521 (10:30am-12:30pm in BLOC 149)

Important information

Exam 1 will cover Chapter 1, Chapter 2 (Sections 2.1 to 2.6) and Chapter 3 (Sections 3.1 to 3.6) (see info_exam1 for more details).
Exam 2 will cover Chapter 5 (Sections 5.1 to 5.3), Chapter 6 and Chapter 7 (Sections 7.1 to 7.3) (see info_exam2 for more details; recurrence relation corrected for Exo5 ).
The final exam is comprehensive and will thus cover Chapter 1, Chapter 2 (Sections 2.1 to 2.6), Chapter 3, Chapter 5 (Sections 5.1 to 5.3), Chapter 6, Chapter 7 (Sections 7.1 to 7.6 and 7.8 to 7.9) and Chapter 8 (see final_exam for more details).

Homework problems

Assignment 1

Hand in: Homework 1 (due September 6) updated 08/30, 1pm (solutions)

Additional practice:
- Section 1.1: 1,2,5,15
- Section 1.2: 11,12
- Section 1.3: 1,3,7,15,21
- Section 2.1: 1,9,12,16
Assignment 2

Strongly suggested: Homework 2 (do not hand in, quiz September 13)

Additional practice:
- Section 2.2: 1,5,9,15
- Section 2.3: 2,13, read example 2
- Section 2.4: 1,8,11,13,26
Assignment 3

Hand in: Homework 3 (due September 20) updated 09/16 (solutions)

Additional practice:
- Section 2.5: 2,4,9,15,21
- Section 2.6: 2,4,14,18
- Section 3.1: 1,5,9,13,17
Assignment 4

Strongly suggested: Homework 4 (do not hand in, quiz September 27)

Additional practice:
- Section 3.2: 4,8,20,22,27
- Section 3.3: 1,2,5,12,20
- Section 3.4: 1,11,20
Assignment 5

Strongly suggested: Homework 5 (do not hand in, exam 1 October 4)

Additional practice:
- Section 3.5: 1,5,8,13
- Section 3.6: 2,7,10,11
Assignment 6

Hand in: Homework 6 (due October 11) - remark: in exercise 2, you can use 0.5 Ns/m for the damping constant (both options are OK) - (solutions)
Assignment 7

Strongly suggested: Homework 7 (do not hand in, quiz October 18)

Additional practice:
- Section 6.1: 4,6,23 (Gamma function)
- Section 6.2: 2,9
- Section 6.3: 3,10,14
Assignment 8

Hand in: Homework 8 (due October 25) (solutions)

Additional practice:
- Section 6.4: 1,3
- Section 6.5: 1,7
- Section 6.6: 11,15,16
Assignment 9

Strongly suggested: Homework 9 (do not hand in, quiz November 1)
Assignment 10

Strongly suggested: Homework 10 (do not hand in, exam 2 November 8)

Additional practice:
- Section 7.1: 3,5,6
- Section 7.2: 4,9,19
- Section 7.3: 6,17
Assignment 11

Hand in: Homework 11 (due November 18) (solutions)

Additional practice:
- Section 7.4: 10,12
- Section 7.5: 3,10
- Section 7.6: 2,7,12
Assignment 12

Strongly suggested: Homework 12 (do not hand in, quiz November 25)

Additional practice:
- Section 7.8: 3,6
- Section 7.9cd: 1,8
Assignment 13

Strongly suggested: Homework 13 (do not hand in, final exam December 9 (502) / December 11 (521))

Computer resources

Matlab/Octave Scripts

Matlab can be accessed in the open access labs on campus (e.g. in Blocker) or through the Texas A&M Virtual Online Access Lab. The scripts below can also be used in GNU Octave, which is available for free download here.

Script for plotting a direction field: DirectionField_MATH308.m
Script for plotting the solution of a spring-mass problem (Sections 3.7 and 3.8): MechanicalVibrations_MATH308.m (examples done in class: here)
Script for plotting a phase portrait: PhasePlane_MATH308.m
Script and functions for computing an approximation of a 1st order DE: main.m , forward_euler.m , backward_euler.m , crank_nicolson.m , heun.m

Java Programs - Courtesy of John C. Polking, Rice University

Helpful information about downloading and running these programs can be found here.

Program for plotting a direction field and solution curves: dfield.jar
Program for plotting a phase portrait: pplane.jar

Quizzes and exams (with solution)

Quiz1_502 - Quiz1_521, Quiz2_502 - Quiz2_521, Exam1_502 - Exam1_521, Quiz3_502 - Quiz3_521, Quiz4_502 - Quiz4_521, Exam2_502 - Exam2_521, Quiz5_502 - Quiz5_521

Extra material

Summary method of undertermined coefficients: MUC
Table of some Laplace transforms: Table
Mechanical vibrations: examples

Material covered

Week 1: Syllabus, Chapter 1, Section 2.1
Week 2: Sections 2.2, 2.3 and 2.4
Week 3: Sections 2.5, 2.6 and 3.1
Week 4: Sections 3.2, 3.3 and 3.4
Week 5: Sections 3.5, 3.6 and part of 3.7
Week 6: Part of 3.7, Section 3.8, Review and Exam 1
Week 7: Sections 6.1, 6.2 and 6.3
Week 8: Sections 6.4, 6.5 and 6.6
Week 9: Sections 5.1, 5.2 and 5.3
Week 10: Sections 7.1, 7.2 and 7.3
Week 11: Section 7.4, Review and Exam 2
Week 12: Sections 7.5, 7.6, part of 7.8 and 9.1
Week 13: Part of 7.8, Section 7.9 and part of Chapter 8 (introduction of 4 numerical schemes)
Week 14: Part of Chapter 8 (error analysis)
Week 15: Part of Chapter 8 (absolute stability) and Review