MA 2243 Linear Algebra and Differential Equations

Lecture 020, Fall 2005

Instructor:

Sookyung Joo

Office: Lind 358.

Office Hours: MF 12:30-1:20pm or by appointment

e-mail: sjoo at ima.umn.edu

Meeting: MWF 11:15am - 12:05pm, Phys 166

Discussion Sessions

021 TTh 10:10am - 11:00am VinH 2 Zuniga, Jose
022 TTh 10:10am - 11:00am VinH 207 Ho, Chung-I
023 TTh 11:15am - 12:05pm VinH 6 Zuniga, Jose
024 TTh 11:15am - 12:05pm VinH 113 Ho, Chung-I

Course Syllabus

Practice final    Solutions to Practice final

other 2243 class

Brief Course Description


Credit will not be granted if credit has been received for: MATH 2373, prereq 1272 or 1282 or 1372 or 1572,  4 credits

Overview: 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.

Text: Farlow, Hall, McDill, West. Differential Equations and Linear Algebra   We will cover Chapters 1-7 (up to Section 7.2) as well as Sections 8.1, 8.2 and 8.5.

4 credits. 3 lectures, 2 recitations per week.

Tests

There will be three one-hour midterms (during recitation session) and one final exam.

* Test 1: Thursday, Oct 6,
* Test 2: Thursday, Nov 3 (covering 3.1 - 4.4)
* Test 3: Thursday, Dec 1 (covering 4.5 - 6.5, except 6.4)
* Final : 1:30 - 4:30pm, Thursday, Dec 15 (comprehensive)

                 -021  10:10am-11:00am TTh,    Zuniga,Javier     Ford Hall B10

                 -022  10:10am-11:00am TTh,   Ho,Chung-I      Ford Hall B15      

                 -023  11:15am-12:05pm TTh,   Zuniga,Javier    Ford Hall B29       

                 -024  11:15am-12:05pm TTh,    Ho,Chung-I     Ford Hall B80       

"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." 

Grades for midterms

Test 1 Solutions to midterm 1     Practice midterm 1     Solutions to practice midterm 1

Advisory grade         A 85~100     B 70~84     C 50~69     D 35~49

Test 2 Solutions to midterm 2     Practice midterm 2    Solutions to Practice midterm 2

Advisory grade         A 92~100     B 83~91     C 68~82     D 50~67

Test 3 Solutions to midterm 3     Practice midterm 3     Solutions to practice midterm 3

Advisory grade         A 85~100     B 70~84     C 50~69     D 35~49

Calculator and Exam 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 policy:  No makeup tests without rigorous emergency reasons. Athletes please present "Proofs of Activities" in advance.

Drop Dates:   Students may drop the course without permission before the end of the 8th week of the semester (Oct 31). If you drop before the end of the 2nd week, no mention of the course appears on your transcript. Otherwise, you receive a "W." Starting Nov 1, you need permission to drop the course.

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.

Course Grade

HW and quizzes 100pts
Three midterms 100pts each
Final 300 pts

Homework assigments

Week
Due Date
Sections
Homework Problems
1 Sep 14 1.1
1.2
24-26
3,7,13-18,20,24,26,29
2
Sep 20 1.3
1.4
1.5
13,17,26,32,40,46
10,12
2,7,9,21,23
3
Sep 27 2.1
2.2
2.3
8,9,12,24,25,38
2,4,12,14,19,26,30, 32,34
4,17,26
4
Oct 4 2.4
2.5
4,8,17,18
15,17,20,24
5
Oct 11 3.1
3.2
4,10,34,40,46,54
26,27,30,33,35
6
Oct 18 3.3
3.4
3.5
7,10,14,18
1,4,16,20,23,28,35
5,8,12,16,20,43,56
7
Oct 25 3.6
4.1
1,6,8,17,20,28,42,44
4,14,16,24,35
8
Nov 1 4.2
4.3
4.4
18,20,30,38
13,16,23,24,31,36
22,28,30,33,36
9
Nov 8 4.5
4.6
4,13,15,19
1,2,8,15,32,40
10
Nov 15 5.1
5.2
5.3
10,17,34,41,65,67
2,12,34,38
6,18,22,34,40
11
Nov 22 5.4
6.1
6.2
28,30,32,33
7,18,34
For #4,11,12, find solutions, sketch phase portraits and determine the stability of the origin. #19,24,40
12
Nov 29 6.2
6.3
6.5
16,28
For #10, find the real general solution, sketch phase portraits and determine the stability of the origin, 14,16, 33
1-8,14
13
Dec 6 6.4
7.1
4,10,11,15,16
11,19,29,31,37
14
Dec 13 7.2 7,8,13,18,23

No homework from section 8.1 and 8.2 will be collected. The suggested homework problems are #1,3,13,15,17 in section 8.2.

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