Math 2243 Homepage

FINALS INFORMATION: Final is on December 15, 13:30-16:30 (1:30-4:30 PM) in Ford Hall 110/115/127.
You will NEED to have your student ID with you, or your exam will NOT be accepted.

Contact information

Instructor: Matthias Kurzke
Office: Lind Hall 357 (207 Church St SE)
Office Hours: MF 3:30-4:30 and by appointment
Phone: (612) 626-1062
Email: kurzke@ima.umn.edu

Discussion section TAs:

Doyoon Kim
Javier Zuniga

Practice final

A practice final is here. NEW! Solutions here.

Midterms

Practice midterm 1. Solutions.

Solutions to midterm 1.

Practice midterm 2.

Solutions to midterm 2.

Practice midterm 3.

Solutions to practice midterm 3

Solutions to midterm 3.

Other 2243 class

Homework assignment

Due dateAssignment
9/201.2: 3, 6, 26, 30. 1.3: 12, 16, 18, 32, 39, 40, 53.
9/271.4: 8, 12. 1.5: 2, 4, 23. 2.1: 8, 10. 2.2: 2, 4, 6, 14, 20.
10/42.2: 25, 26, 30, 34. 2.3: 2, 7, 14, 26. 2.4: 4, 8, 18, 19.
10/112.5: 15, 21, 24. 2.6: 2, 11, 14. 3.1: 4, 5, 31, 34, 40.
10/183.1: 44, 51. 3.2: 30, 32, 35. 3.3: 7, 11, 14, 18, 24, 25.
10/253.4: 4, 11, 30, 32, 34. 3.5: 14, 16, 20, 44, 46. 3.6: 2, 16, 20, 28, 44.
11/1 4.1: 4, 14, 28, 36. 4.2: 16, 30, 38, 60. 4.3: 16, 24, 26, 31, 32, 36. 4.4: 22, 28, 36, 40.
11/8 4.5: 4, 12, 16, 22. 4.6: 2, 8, 19, 32, 40, 44.
11/15 5.1: 10, 14, 34, 40, 62. 5.2: 6, 12, 34, 50. 5.3: 6, 18, 22, 26, 34, 46.
11/22 5.4: 8, 14, 20, 32, 40, 44. 6.1: 5, 7, 18, 34.
11/29 6.2: 16, 22, 28, 40. 6.3: 14, 16, 30, 33. 6.4: 4, 10, 15, 16.
12/86.5: 14, 20, 22. 7.1: 15, 23, 29, 37. 7.2: 4, 8, 12, 18, 22.

Course syllabus

Download as PDF

Course Description

The course is divided into two somewhat related parts.

Linear algebra: matrices and matrix operations, Gaussian elimination, matrix inverses, determinants, vector spaces and subspaces, dependence, Wronskian, dimension, eigenvalues, eigenvectors, diagonalization.
ODE: Separable and first-order linear equations with applications, 2nd order linear equations with constant coefficients, method of undetermined coefficients, simple harmonic motion, 2x2 and 3x3 systems of linear ODE's with constant coefficients, solution by eigenvalue/eigenvectors, nonhomogenous linear systems, phase plane analysis of 2x2 nonlinear systems near equilibria.

Prerequisites: C- in Math 1272 or 1372.

Text: Farlow, Hall, McDill, West: Differential equations and Linear Algebra. Prentice-Hall 2002.

For an errata list, see here.

4 credits. 3 lectures, 2 recitations per week.

Course Management

Grading and exams:

The final grade will be based on a total of 700 points, distributed as follows:

The midterms will be during the recitation sessions on the following Thursdays: October 6, November 3 and December 1.

The final exam will be on Thursday, December 15.

All students must have their official University I.D. Card with them at the time of the final exam and must show it to one of the proctors when handing in their exam. The proctor will NOT accept a final exam from a student without an I.D. Card.

Closed-book exams: Books or notes will not be allowed during any of the exams.

Homework policy: During the recitation sessions, homework will be assigned. Your TA will ask you to submit some part of the assigned homework and grade it, as well as conduct quizzes. You will be expected to present your arguments in a clear and organized manner, NOT just hand in some calculations whose connection to the question is unclear.

Calculator policy: Scientific calculators will be allowed during the exams, but will not be necessary. Graphing calculators or calculators that can perform symbolic algebra will not be permitted.

Makeup exam policy: Makeup exams will be possible only with a rigorous emergency reason. If you know in advance that you have to miss an exam, notify me as soon as you can. Absence from exams without a valid reason will result in 0 points for that exam, with no makeup exam possible.

Drop Dates: You may drop this course without permission before the eighth week of the semester (October 31). Starting November 1, permission will be needed to drop the course.

If you drop before the end of the second week, the course will not appear on your transcript. Afterwards, you will receive a ``W''.

Student Conduct: Statement on Scholastic Conduct: Each student should read the college bulletin for the definitions and possible penalties for scholastic dishonesty. Students suspected of cheating will be reported to the Scholastic Conduct Committee.

Syllabus and suggested homework

Dates Sections covered
9/6-9/9 1.1-1.2
9/12-9/16 1.3-1.5
9/19-9/23 2.1-2.3
9/26-9/30 2.4-2.6
10/3-10/7 3.1-3.2
10/6 Midterm exam covering Chapters 1-2
10/10-10/14 3.3-3.5
10/17-10/21 3.6, 4.1-4.2
10/24-10/28 4.3-4.5
10/31-11/4 4.6, 5.1
11/3 Midterm exam covering Chapters 3-4
11/7-11/11 5.2-5.3
11/14-11/18 5.4, 6.1-6.2
11/21-11/23 6.3-6.4
11/28-12/2 6.5, 7.1
12/1 Midterm exam covering Chapters 5-6
12/5-12/9 7.2, 8.1-8.2
12/12-12/14 8.2 & Review
12/15 Comprehensive Final Exam
Compulsory homework will be assigned during the semester (part of the suggested homework).

Section Suggested homework
1.1 23-27
1.2 2, 3, 6, 7, 13-18, 20, 23, 24, 26, 29, 30
1.3 12, 13, 16-26, 29, 31, 32, 39, 40, 43-47, 53, 54
1.4 1, 7-10, 12
1.5 2-4, 7-12, 21, 23
2.1 7-12
2.2 1-6, 9-15, 19, 20, 25, 26, 30-35, 45, 46
2.3 1-5, 7, 14, 16, 17, 21, 24, 26
2.4 2, 4, 7, 8, 11-13, 17-19
2.5 13-18, 21-24
2.6 1-3, 5-7, 11, 14-17, 23
3.1 4, 5, 31-34, 40, 42, 44-46, 51, 54, 61
3.2 5-10, 29-33, 35
3.3 7-10, 14, 17, 18, 24, 25
3.4 1, 4-7, 11, 12, 16-18, 20, 23, 29-32, 34-36
3.5 2, 4-6, 8, 9, 12-14, 16-20, 22, 23, 25, 26, 34, 36-38, 43-51, 56
3.6 1, 2, 5-8, 11-14, 16-18, 20-22, 26-32, 38, 39, 42-45, 47-50, 54-58, 64, 65
4.1 4-6, 8-10, 14-16, 21, 22, 25-28, 31-39, 49, 52
4.2 16-24, 28-30, 35, 38-41, 43, 47, 55, 56, 59-62
4.3 13, 15-28, 34-36, 41, 42
4.4 4-6, 22-33, 36, 39, 40
4.5 4-13, 15-17, 20, 22, 23
4.6 1, 2, 8-13, 17-20, 32, 33, 40, 41, 44
5.1 6-10, 13-15, 17-29, 33, 34, 37-43, 47, 59, 61-63, 65-67, 70-73, 78-80
5.2 2, 3, 6, 7, 10-14, 23, 30, 34, 35, 38, 39, 44-47, 50-52, 55-61
5.3 6-9, 15, 18, 20, 22, 24, 26-29, 31, 33-36, 39-41, 45-47
5.4 1-3, 7-9, 13-15, 20-23, 27-33, 39-41, 43-44
6.1 3, 5, 7, 9, 17-19, 23-26, 33-35
6.2 15-23, 28, 31, 39, 40, 43
6.3 14-17, 23-27, 30, 33
6.4 3-5, 9-11, 15, 16
6.5 1-12, 14, 15, 17
7.1 11, 13, 15, 17, 19, 21, 23, 27-33, 35, 37
7.2 1-9, 11-18, 20-23
8.1 3, 5, 11, 13, 15-17, 24, 25
8.2 3-9, 12-15, 18, 19