Math 2280 - Introduction to Differential Equations

University of Utah

Summer, 2013

Contact Information

Instructor - Patrick Dylan Zwick.
Telephone - 801-651-8768 (Cell).
Email - zwick@math.utah.edu .

Office - JWB Math Building Room 129.
Office Hours - 1:00 PM - 2:00 PM; Mondays and Wednesdays

Class Location - Frederick Albert Sutton Building (FASB) Room 250.
Class Time - 10:00 AM - 11:00 AM Monday, Tuesday, Wednesday, and Thursday


All grades for the class are posted on canvas

Headline Announcements

Announcements

Administrative

Syllabus
Schedule

Note: The final exam for the class will be on Thursday, August 1st from 10:00 AM to 12:00 Noon.

MIT offers a similar course (Math 18.03) and the course is available on their open courseware system. There are lecture notes, assignments with solutions, and video lectures available from the website. It's pretty nice! You can check it out here. The video lectures are available here

Lecture Notes

Lecture 1 Lecture 1 with Examples
Lecture 2 Lecture 2 with Examples
Lecture 3 Lecture 3 with Examples
Lecture 4 Lecture 4 with Examples
Lecture 5 Lecture 5 with Examples
Lecture 6 Lecture 6 with Examples
Lecture 7 Lecture 7 with Examples
Lecture 8 Lecture 8 with Examples
Lecture 9 Lecture 9 with Examples
Lecture 10 Lecture 10 with Examples
Lecture 11 Lecture 11 with Examples
Lecture 12 Lecture 12 with Examples
Lecture 13 Lecture 13 with Examples
Lecture 14 Lecture 14 with Examples
Lecture 15 Lecture 15 with Examples
Lecture 16 Lecture 16 with Examples
Lecture 17 Lecture 17 with Examples
Lecture 18 Lecture 18 with Examples
Lecture 19 Lecture 19 with Examples
Lecture 20 Lecture 20 with Examples
Lecture 21 Lecture 21 with Examples
Lecture 22 Lecture 22 with Examples
Lecture 23 Lecture 23 with Examples
Lecture 24 Lecture 24 with Examples
Lecture 25 Lecture 25 with Examples
Lecture 26 Lecture 26 with Examples
Lecture 27 Lecture 27 with Examples
Lecture 28 Lecture 28 with Examples
Lecture 29 Lecture 29 with Examples
Lecture 30 Lecture 30 with Examples
Lecture 31 Lecture 31 with Examples
Lecture 32 Lecture 32 with Examples
Lecture 33 Lecture 33 with Examples
Lecture 34 Lecture 34 with Examples
Lecture 35 Lecture 35 with Examples

Other

Slopefield Example in Maple

Our classmate Kurt Fisher has made some nice Matlab programs for solving exercises 2.4.26 and 2.4.30 from homework assignment 3. I've linked to the appropriate files in case anybody else wants to check them out. To do so, download the linked directory to a directory on your computer, then type the name of the file "nnnnMain" of the "nnnnMain.m" file. Or you can open the file nnnnMain.m from Matlab and run it from there. Of course, you need Matlab on your computer in order to run these programs.
Exercise 2.4.26
Exercise 2.4.30

Kurt has also created a lovely Maple file that illustrates the technique of plotting multiple particular solutions for a second order homogeneous solutions. Such graphs are shown in Fig. 3.1.5 and 3.1.8 in the course text book, and these approaches are based on the Edwards, Application Manual, Sec. 3.1. The maple file is available here. To use the file just download it to your computer and open it with Maple.

Kurt Fisher has made some very detailed Maple files that explore how we go about plotting the slopefields and solutions for Exercises 5.2.1, 5.2.9, and 5.2.15. You can check these out here:
Plotting Exercise 5.2.01
Plotting Exercise 5.2.09
Plotting Exercise 5.2.15
To use these files just download them to your computer and open them with Maple.

Also, if you'd like a MUCH more detailed discussion on how to graph and plot solutions to 2x2 first-order systems of equations with constant coefficients you can find such a discussion on Prof. Arthur Mattuck's MIT video lecture no. 27. This lecture is available online here.

A professor a Lamar University named Paul has a useful set of notes for calculating inverse Laplace transforms. They should supplement the material from sections 7.2 and 7.3 of the textbook (lectures 27 and 28) nicely. The notes can be found here. Hope you find them useful.

Kurt Fisher has kindly made some Laplace transform flashcards that might be useful to you in your studying. You can download a .pdf for these flashcards here. You should print them out using both sides of the paper, and then you can cut them out and the flashcards will align.

Assignments

Assignment 1

Section 1.1 - 1, 12, 15, 20, 45
Section 1.2 - 1, 6, 11, 15, 27, 35, 43
Section 1.3 - 1, 6, 9, 11, 15, 21, 29
Section 1.4 - 1, 3, 17, 19, 31, 35, 53, 68
Assignment 1
Due Thursday, May 23rd

Assignment 2

Section 1.5 - 1, 15, 21, 29, 38, 42
Section 1.6 - 1, 3, 13, 16, 22, 26, 31, 36, 56
Section 2.1 - 1, 8, 11, 16, 29
Section 2.2 - 1. 10, 21, 23, 24
Assignment 2
Due Thursday, May 30th

Assignment 3

Section 2.3 - 1, 2, 4, 10, 24
Section 2.4 - 1, 5, 9, 26, 30
Assignment 3
Due Thursday, June 6th

Assignment 4

Section 3.1 - 1, 16, 18, 24, 30
Section 3.2 - 1, 10, 16, 24, 31
Section 3.3 - 1, 10, 25, 30, 43
Assignment 4
Due Monday, June 17th

Assignment 5

Section 3.4 - 1, 5, 18, 21
Section 3.5 - 1, 11, 23, 28, 35, 47, 56
Section 3.6 - 1, 2, 9, 17, 24
Assignment 5
Due Thursday, June 20th

Assignment 6

Section 3.7 - 1, 5, 10, 17, 19
Section 3.8 - 1, 3, 5, 8, 13
Section 4.1 - 1, 2, 13, 15, 22
Section 4.2 - 1, 10, 19, 28
Assignment 6
Due Thursday, June 27th

Assignment 7

Section 5.1 - 1, 7, 15, 21, 27
Section 5.2 - 1, 9, 15, 21, 39
Assignment 7
Due Wednesday, July 3rd

Assignment 8

Section 5.4 - 1, 8, 15, 25, 33
Section 5.5 - 1, 7, 9, 18, 24
Section 5.6 - 1, 6, 10, 17, 19
Assignment 8
Note - There is a typo on Problem 5.4.33 in the textbook. The vector v2 should be [0 0 1 i]^T, and NOT [9 0 1 i]^T.
Due Monday, July 15th

Assignment 9

Section 7.1 - 1, 6, 20, 30, 36
Section 7.2 - 1, 4, 15, 20, 29
Assignment 9
Due Thursday, July 18th

Assignment 10

Section 7.3 - 3, 8, 19, 24, 30, 33
Section 7.4 - 1, 5, 10, 19, 31
Section 7.5 - 1, 6, 15, 21, 26
Assignment 10
Due Thursday, July 25th

Assignment 11

Section 7.6 - 1, 6, 11, 14, 15
Section 9.1 - 1, 8, 11, 13, 21
Section 9.2 - 1, 9, 15, 17, 20
Assignment 11
Due Thursday, August 1st

Assignment 12

Section 9.3 - 1, 5, 8, 13, 20
Section 9.5 - 1, 3, 5, 7, 9
Assignment 12
Due Thursday, August 1st
Note - This assignment is for extra credit, and it will not count against your grade if you don't have it in.

Exams

Exam 1 Exam 1 Solutions
Exam 2 Exam 2 Solutions
Exam 3 Exam 3 Solutions
Final Final Solutions

Exams from Previous Years

These are the exams, along with solutions, from previous times I've taught this class. The exams do not necessarily correspond with the current class schedule, and there may be some sections covered in previous semesters that we will not cover this semester, and vice-versa. With those disclaimers, they might be a helpful study resource, so they're provided below.

Spring 2013

Practice Exam 1 Practice Exam 1 Solutions
Practice Exam 2 Practice Exam 2 Solutions
Practice Exam 3 Practice Exam 3 Solutions
Practice Exam 4 Practice Exam 4 Solutions
Practice Final Exam Practice Final Exam Solutions

Exam 1 Exam 1 Solutions
Exam 2 Exam 2 Solutions
Exam 3 Exam 3 Solutions
Exam 4 Exam 4 Solutions
Final Final Solutions

Spring 2009

Exam 1 Exam 1 Solutions
Exam 2 Exam 2 Solutions
Exam 3 Exam 3 Solutions
Final Exam Final Exam Solutions

Spring 2008

Exam 1 Exam 1 Solutions
Exam 2 Exam 2 Solutions
Exam 3 Exam 3 Solutions
Final Exam Part 1 Final Exam Part 1 Solutions
Final Exam Part 2 Final Exam Part 2 Solutions


Old Classes

Math 2280 Spring, 2013
Math 15 Spring, 2013
Math 2270 Fall, 2012
Math 2210 Summer, 2012
Math 2210 Summer, 2010
Math 1010 Fall, 2009
Math 1210 Summer, 2009
Math 2280 Spring, 2009
Math 2210 Fall, 2008
Evolutionary Biology and Game Theory Fall, 2008
Math 2210 Summer, 2008
REU on Computational Algebraic Geometry Summer, 2008
Knot Theory Spring, 2008
Math 2280 Spring, 2008
Math 1030 Fall, 2007
Math 2210 Summer, 2007

Talks

Notes for Math Department Talks