MATH 2250 Differential Equations and Linear Algebra

Lectures - T and Th 12:25-2:10 JWB 335
Discussion - M (sec 7) or W (sec 8) 12:55-1:45 JWB 335

Instructor - Tyler Skorczewski

Office - LCB 311

Office hours - T 2:10-3:30, Th 11:30-12:25, F 10:00-11:00 and by appointment

Email - tskorc(at)math.utah.edu

Teaching Assistant - Leif Zinn-Bjorkman

Office - LCB Loft

Office hours - M 4:30-5:30, W 10:30-11:30, and by appointment

Email - lzinnbj(at)math.utah.edu

Class webpage - www.math.utah.edu/~tskorc/2250/2250.html
Book - Differential Equations and Linear Algebra by C.H. Edwards and D.E. Penney

ISBN = 9780558141066 (custom edition)
ISBN = 9780136054252 (non-custom edition)

Syllabus - 2250syllabus.pdf
Final Exam - Tuesday December 11, 10:30 - 12:30

Note : No classes on

Labor Day - September 3

Fall break - October 7-14

Thanksgiving break - November 22-23

Announcements

Course grades have been calculated. The average grade for the class is about a B- and the breakdown for the grades (among all students - including those who did not take the final) is
A/A- - 29%
B+/B/B- - 35%
C+/C/C- - 23%
lower - 14%

The final is graded. The average final score was about a 63/94. The high score was 94/94. You can pick up your final in my office if you would like. Here are the solutions :final_solns.pdf

Here are the notes from the final review session: finalreview.pdf

Here are solutions to quiz 11.

I will be in the chat room on the Canvas site for this class Monday night from around 8-9pm or later if people still have questions.

Here is a practice exam to help you study for the final exam. Solutions are also posted, but please don't look at them until you have attempted the test in test like conditions (120 minutes, no notes/book/calculator). In addition, looking over the midterm exams, quizzes, homeworks, book and lecture notes will help you study as well. practicefinal.pdf : practicefinal_sols.pdf
There will be a review session for the final on Friday in JFB-B1 from 2:30-4:30. If you cannot make this, I will also be available in my office most of Friday.

Homework 13 (not to turn in - but you should still do it!) - you only need to sketch phase planes

section 9.2 - 22,30,33
section 9.3 - 1,3,4,6,7,17,33
section 9.4 - 1,7,13,18,21

Here are solutions to quiz 10.

Pplane is a nice tool for Matlab used to draw phase planes. You may find it useful in the homework: pplane8.m

Homework 12 - due Tuesday 12/4 at the beginning of class - you only need to sketch phase planes

section 7.4 - 3,9,13,16,17,20
section 9.1 - 1,2,3,9,10,13,20,25
section 9.2 - 3,9,15

Here is the third computer assignment. It is due Thursday December 6 at the beginning of class. A Maple worksheet is posted to get you started. chw3_start.mw: chw3_start.pdf. This is also the worksheet covered during lecture on 11/27.

Homework 11 - due Tuesday 11/27 at the beginning of class. Note that for problems requiring direction fields or phase planes you only need to sketch it. You do not need to turn in a computer printout.

section 6.1 - 3,8,13,16,34
section 7.1 - 1,10,16,20,26
section 7.2 - 4,6,14,19,28
section 7.3 - 6,14,18,35

Here are the solutions to the second midterm exam - exam2sols.pdf

Here are solutions to quiz 9.

Here is a practice exam to help you study for the second midterm exam. Solutions are also posted, but please don't look at them until you have attempted the test in test like conditions (60 minutes, no notes/book/calculator). In addition, looking over the quizzes, homeworks, book and lecture notes will help you study as well. practicemidterm2.pdf : practicemidterm2_sols.pdf 2 notes: 1) problem 4a) is written
u'' + 2u = e^{-t| but the solutions solve u'' -2u = e^{-t} --- 2) the solution for 5c should read (1/s)e^{-s} not (1/s)e^{-t} (I should know that mixing s and t makes no sense!!)

Here is a reading about Laplace Transforms that we will try to cover in lecture on Thursday 11/8.

Here are solutions to quiz 8.

Homework 10 - due Tuesday 11/13 at the beginning of class

section 10.2 - 17,35
section 10.3 - 2,12,27,31,40
section 10.4 - 6,14,16,28,31
section 10.5 - 3,6,14,25

On Monday (11/12) I will be giving a review session before exam 2 from 6:00-7:30 PM in LCB 225. Please note the room change.

Homework 9 - due Tuesday 11/6 at the beginning of class

reading 1 - 1,4,6
section 10.1 - 3,7,11,21,25,39
section 10.2 - 5,11,16,17,27,35

Here are solutions to quiz 7.

The second computer assingment is posted here and is due Thursday, Novemeber 8 at the beginning of class. It must be done in Maple or Mathematica unless you have access to the symbolic toolbox of Matlab. As a reminder, remember I will not drop any computer homeworks when calculating grades. There is a Maple worksheet to get you started. It has most of what you will need, in the hopes that you spend most of your time concentrating on your writing and reasoning and less on figuring out Maple syntax: chw2_start.mw : chw2_start.pdf

Here is a reading about RLC circuits that will be covered in lecture on Tuesday 10/30.

Homework 8 - due Tuesday 10/30 at the beginning of class

section 5.4 - 1,11,14,17,23,35,37
section 5.5 - 1,6,14,22,24,28,38,60
section 5.6 - 4,8,17,21,23,30

Here are solutions to quiz 6.

Homework 7 - due Tuesday 10/23 at the beginning of class

section 5.1 - 8,13,18,25,30,37
section 5.2 - 4,9,15,25,30,33
section 5.3 - 9,13,18,23,39

Here are solutions to quiz 5.

Homework 6 - due Tuesday 10/16 (after Fall break) at the beginning of class

section 4.1 - 5,9,10,15,20,26,30,34,41
section 4.2 - 9,11,15,22,28,31
section 4.3 - 2,4,6,10,13,18,27,29
section 4.4 - 3,5,9,14,16,19,31,32
section 4.6 - 1,2
section 4.7 - 1,6,11,14,19,26

Here are the solutions to the first midterm exam - exam1sols.pdf

Here is a practice exam to help you study for the first midterm exam. Solutions are also posted, but please don't look at them until you have attempted the test in test like conditions (60 minutes, no notes/book/calculator). In addition, looking over the quizzes, homeworks, book and lecture notes will help you study as well. practicemidterm1.pdf : practicemidterm1_sols.pdf I made a mistake in the solutions for number 4b) so your answers will differ from the posted ones. (This hopefully is a good reminder to check your work on the exams :))

Here are solutions to quiz 4.

Here is an optional computer assignment. This assignment will have a maximum of 20 points and your score from this work will be added to your score from the first computer assignment.

Homework 5 - due Tuesday 9/25 at the beginning of class

section 3.4 - 3,8,15,18,27,31(b),34,40
section 3.5 - 4,8,16,18,24,30,32,37
section 3.6 - 3,5,12,15,23,24,31,38,53

Here are solutions to quiz 3.

On Monday (9/24) I will be giving a review session before exam 1 from 6:00-7:30 PM in LCB 225. PLease note the room change.

I will be hosting optional Matlab introduction sessions Friday (9/14) from 11:50-12:40 and Monday (9/17) from 9:40-10:30 in LCB 115.

Homework 4 - due Tuesday 9/18 at the beginning of class

section 3.1 - 1,4,11,16,23,29,31,33
section 3.2 - 2,5,8,23,24,27
section 3.3 - 3,8,15,16,32,35,36,37,39

Here are solutions to quiz 2.

I will be in the chat room on the Canvas site for this class Monday night from 8-9.

Here are links to the Maple worksheets from the September 6 lecture: Euler's Method: 9_6_euler.mw - 9_6_euler.pdf : Runga Kutta Method: 9_6_rk.mw - 9_6_rk.pdf

Homework 3 - due Tuesday 9/11 at the beginning of class

section 2.3 - 1,2,7,10,12,21,26
section 2.4 - 4,10,26(h=1 only),31
section 2.6 - 7,9,26,29
maple code for Euler's method can be found here

Here is the first computer assignment. It is due September 11. A worksheet to get you started can be obtained by opening Maple and going to the File->openURL and typing http://www.math.utah.edu/~tskorc/2250/ca1_start.mw
or you can download it here: ca1_start.mw - ca1_start.pdf

Here are solutions to quiz 1.

Homework 2 - due Tuesday 9/4 at the beginning of class

section 1.5 - 5,16,20,27,30,41,46
section 2.1 - 6,8,10,21,30,33,34
section 2.2 - 3,10,14,18,20,23,28

There will be introductory Maple sessions in LCB 115 this week with the instructors teaching Math 2250 this semester. You can go to any session you want or you can go online and work through the tutorial from Indiana University here.
times:
T 2-2:50 PM - Dr. Korevaar
W 10:45-11:35 AM - Dr. Skorczewski
W 3:05-3:55 PM - Aryn DeJulis
Th 12:55-1:45 PM - Chris Brooks
F 9:40-10:30 AM - Kyle Steffen
F 3:05-3:55 PM - TBA

I will be in the chat room on the Canvas site for this class Monday from 8-9 PM

Homework 1 - due Tuesday 8/28 at the beginning of class

section 1.1 - 3,4,9,21,33,35,36,46
section 1.2 - 5,6,7,15,18,20,22,30,37
section 1.3 - 6,15,16,17,26,29
section 1.4 - 12,17,20,33,44,69

You do not need to attend the Monday discussion section on August 20 before the lectures start.

Material covered

This course as the name suggests covers differential equations and linear algebra. We will cover most of chapters 1-7,9-10 from the textbook, and if time permits, chapter 8.
A tentative lecture schedule can be found here. This is subject to change.

Grading

Grading will be posted on the U of U Canvas website and based on performance on homeworks, computer assignments, midterm exams, and one final exam. The weighting for each is as follows:

Homeworks (including computer assignments)	20%
Quizzes	10%
Midterm Exams	40%
Final Exam	30%

Exams

There will be two midterm exams and one final exam for this class. All exam scores will be counted (I will not drop a lowest score). The final exam is comprehensive and covers the entire course. Make-up exams will only be given for university excused absences and must be arranged in advance. The exam dates are given below. Plan accordingly. You will be required to show your student ID during the test.

Midterm 1	Tuesday, September 25
Midterm 2	Tuesday, November 13
Final Exam	Tuesday December 11, 10:30 - 12:30

Quizzes

There will be weekly quizzes given on Thursdays at the beginning of class. These quizzes will cover key concepts and techniques from the lectures and homework assigned that week. I will drop the lowest 2 quiz scores when determing grades. There will be no make up quizzes.

Homework

Homework will be assigned regularly to reinforce concepts from the lectures. I will drop the lowest score on the homeworks (regular assignments only, not computer assignments) when calculating grades. Beyond their contributions to your course grades, the real value in carefully working the homework problems and in doing the projects is that mathematics (like anything) must be practiced and experienced to really be understood. Collaboration on homeworks is encouraged, but what you turn in must be your own work. Homework is due at the beginning of class on the due date. No late homework will be accepted. A good rule to adhere to is: "If your homework is important enough that you would be upset if it was not accepted, then it is important enough to turn in on time."

Computer Assignments

There will be several computer projects assigned during the semester, related to the classroom material. They will be written in the software package MAPLE. In addition, you will be asked to use this computer software to check various homework calculations from throughout the course. There is a Math Department Computer Lab in the T. Benny Rushing Mathematics Center at which you all automatically have accounts. There are other labs around campus where Maple is also available, for example at the College of Engineering and Marriott Library. There will be optional computer lab sessions scheduled the first few weeks of the semester to introduce students to Maple. There is also an online tutorial here for those who cannot make the optional lab sessions.

Tutoring Center

The math department offers free drop-in tutoring for math department classes at the 1000 and 2000 level, as well as the following 3000 level classes: 3070-3080, 3150, 3160. The tutoring center is located in room 155 of the T. Benny Rushing Mathematics Center (adjacent to the LCB and JWB).

Students with Disabilities

The American with Disabilities Act requires that reasonable accommodations be provided for students with physical, sensory, cognitive, systemic, learning, and psychiatric disabilities. Any student with a certified disability who needs to arrange reasonable accommodations must contact University Disability Services (UDS) and me at the beginning of the semester to discuss any such accommodations for the course.

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