MATH 2250, Section 003
TTh 6:00-7:30PM, WEB 102 (Warnock Engineering Building)
Prerequisites: MATH 2210 or 1260 or (MATH 1220 and either PHYS 2210 or 3210)

Ordinary Differential Equations and Linear Algebra



Instructor:

Damon Toth
LCB 315 (LeRoy Cowles Building)
tel: 585-7657
fax: 581-4148
toth[at symbol]math[dot]utah[dot]edu
office hours: TTh 4:00-5:00PM, or by appointment

Teaching Assistants:

Erika Meucci & Liang Zhang
meucci[at symbol]math[dot]utah[dot]edu
lzhang[at symbol]math[dot]utah[dot]edu
TA help sessions: T OR Th 5:00-6:00PM in WEB 102
(whichever day the homework is due)


Course description Textbook Syllabus Schedule Grading Resources

Course Description

This course serves as an introduction to differential equations and their application to problems in science and engineering. Traditionally, a course in linear algebra is needed as a prerequisite to a differential equations course. For this course, no such prerequisite is needed, as linear algebra concepts and techniques are introduced as necessary before their application to differential equation problems. We will learn how to use differential equations to describe physical phenomena in mechanics, electrical circuits, population dynamics, and other areas. We will learn how to find, represent, and interpret solutions to differential equations exactly or approximately using a variety of conceptual and computational techniques. By the end of the course, students should be ready for more advanced courses in either differential equations (ordinary and partial), linear algebra, or scientific computing.

Textbook

Differential Equations and Linear Algebra, Second Edition, by Edwards and Penney

You may also purchase the Custom Edition, which is the same as the 2nd Edition but also includes the Student Solutions Manual bound at the back, which you may find useful. The course will follow the book fairly closely, and homework problems will be assigned from the book.

Syllabus

Main topics of the course: In the textbook, we will cover most of Chapters 1-7, and parts of Chapters 9 and 10 (time-permitting).

Schedule

Assigned Date Due Date Homework Problems / Handouts
First day of class Tues. Jan. 8 CourseInfo.pdf (see above for updated office hours / TA info)
Homework #1 Thurs. Jan. 10 Thurs. Jan. 17 1.1: 2, 12, 22*, 26*, 28, 36 (*: graphing part not required)

1.2: 4, 6, 10, 14, 28

1.4: 2, 4, 6, 12, 22, 26, 34

Homework #2 Thurs. Jan. 17 Thurs. Jan. 24 1.4: 38, 40, 48

1.5: 2-24 even, 36, 38

Homework #3 Thurs. Jan. 24 Thurs. Jan. 31 2.1: 2*, 10, 28 (*: graphing part not required)

2.2: 2-12 even (solving for explicit solution and sketching not required)

Computing Assignment (see below under Resources for helpful files)

Midterm 1 (in class) Thurs. Feb. 7 Grading Info and Solutions
Homework #4 Thurs. Jan. 31 Tues. Feb. 12 3.1: 4, 10, 16, 22, 26

3.2: 8, 12, 14, 24, 28

Computing Assignment (see below for files)

Homework #5 Tues. Feb. 12 Tues. Feb. 19 3.4: 2, 6, 8, 10, 14, 22

3.5: 6, 8, 12, 20, 24, 30

3.6: 2, 6, 8, 26, 28, 58

Homework #6 Tues. Feb. 19 Tues. Feb. 26 3.5 Computer Application: #7 and #8 (page 197)

-> Use Maple, print your code, write down price of each item

4.1: 6, 8, 10, 18, 20, 26, 30, 36

4.2: 2-16 even

Homework #7 Tues. Feb. 26 Tues. Mar. 4 4.3: 2, 8, 10, 14, 18, 20, 24

4.4: 2-16 even, 24

4.5: 2, 6

4.6: 4, 14, 18

4.7: 6-16 even, 24

Midterm 2 (in class) Tues. Mar. 11 Grading Info and Solutions
No Class (spring break!) Tues. Mar. 18
No Class (spring break!) Thurs. Mar. 20
Homework #8 Thurs. Mar. 6 Tues. Mar. 25 5.1: 34-48 even

5.2: 2, 8, 10

5.3: 8, 12, 14, 16, 20, 24, 26, 30, 36

5.4: 2, 4

Homework #9 Tues. Mar. 25 Tues. Apr. 1 5.4: 18, 20

5.5: 2, 6, 10, 14, 18, 22, 26, 30-40 even, 48-56 even

Homework #10 Tues. Apr. 1 Tues. Apr. 8 5.6: 2, 4, 6 (graphing not required)

10.1: 2-10 even, 14, 16, 26-32 even

10.2: 2-10 even

Homework #11 Tues. Apr. 8 Tues. Apr. 15 10.3: 28-36 even

10.4: 2, 6, 8, 12, 36, 38

10.5: 2, 8, 26, 32*, 34* (*: graphing not required)

Homework #12 Tues. Apr. 15 Tues. Apr. 22 6.1: 2, 6, 10, 14, 28, 32

7.1: 2, 8

7.2: 4, 8, 12, 14, 24

7.3: 2, 6, 8, 10, 14 (graphing not required)

Last day of class Tues. Apr. 22
No Class (reading day) Thurs. Apr. 24
Final Exam Take-Home Portion Tues. Apr. 22 Tues. Apr. 29 Take-Home Solutions
Final Exam Tues. Apr. 29 6:00PM-8:00PM, in our classroom

Final Exam Solutions

Grading

There will be 12 homework assignments due in class. Check the above schedule for due dates. Homeworks constitute 30% of the final grade. There will be two midterm exams, each accounting for 20% of the final grade, and a final exam accounting for 30% of the final grade.

Resources

The math department's tutoring center has tutors available if you want to drop in for extra help in this class. They are located in the T. Benny Rushing Mathematics Center (adjacent to the LCB and JWB). Check their website for the hours when tutors will be there.

The following files will be helpful for Homework 3:

proj1-3.mws - This is a Maple worksheet; save it and load it into Maple. You can see the commands used to perform tasks like the ones you are asked to do in the homework (following what I did in lecture and the example of section 1-3 in the text book). You can hit Enter next to each Maple command to see the result.

proj1-3.pdf - This file has more explanation of the commands used in the Maple worksheet. Scroll down to page 3 under "Using Maple."

For Homework 4: proj2-4.mws and proj2-4.pdf

For Homework 6: proj3-5.mws and proj3-5.pdf (Note, use this as a guide for entering the data for the homework, and you can use the "linsolve" command to find the solution).

(Note: These were taken from the text book's web page).


<toth[at symbol]math[dot]utah[dot]edu>