Instructor:  Sookyung Joo 
Office: Lind 358.  
Office Hours: MF 12:301:20pm or by appointment  
email: sjoo at ima.umn.edu  
Meeting:  MWF 11:15am  12:05pm, Phys 166 
021  TTh 10:10am  11:00am  VinH 2  Zuniga, Jose 
022  TTh 10:10am  11:00am  VinH 207  Ho, ChungI 
023  TTh 11:15am  12:05pm  VinH 6  Zuniga, Jose 
024  TTh 11:15am  12:05pm  VinH 113  Ho, ChungI 
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 firstorder 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 17 (up to Section 7.2) as well as Sections 8.1, 8.2 and 8.5. 4 credits. 3 lectures, 2 recitations per week. 
* 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 10:10am11:00am TTh, Zuniga,Javier Ford Hall B10
022 10:10am11:00am TTh, Ho,ChungI Ford Hall B15
023 11:15am12:05pm TTh,
Zuniga,Javier Ford
Hall B29
024
11:15am12:05pm TTh, Ho,ChungI
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."
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.HW and quizzes  100pts  
Three midterms  100pts each  
Final  300 pts 
Week 
Due Date 
Sections 
Homework Problems 
1  Sep 14  1.1 1.2 
2426 3,7,1318,20,24,26,29 
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 18,14 
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 
Section  Suggested homework 
1.1  2327 
1.2  2, 3, 6, 7, 1318, 20, 23, 24, 26, 29, 30 
1.3  12, 13, 1626, 29, 31, 32, 39, 40, 4347, 53, 54 
1.4  1, 710, 12 
1.5  24, 712, 21, 23 
2.1  712 
2.2  16, 915, 19, 20, 25, 26, 3035, 45, 46 
2.3  15, 7, 14, 16, 17, 21, 24, 26 
2.4  2, 4, 7, 8, 1113, 1719 
2.5  1318, 2124 
2.6  13, 57, 11, 1417, 23 
3.1  4, 5, 3134, 40, 42, 4446, 51, 54, 61 
3.2  510, 2933, 35 
3.3  710, 14, 17, 18, 24, 25 
3.4  1, 47, 11, 12, 1618, 20, 23, 2932, 3436 
3.5  2, 46, 8, 9, 1214, 1620, 22, 23, 25, 26, 34, 3638, 4351, 56 
3.6  1, 2, 58, 1114, 1618, 2022, 2632, 38, 39, 4245, 4750, 5458, 64, 65 
4.1  46, 810, 1416, 21, 22, 2528, 3139, 49, 52 
4.2  1624, 2830, 35, 3841, 43, 47, 55, 56, 5962 
4.3  13, 1528, 3436, 41, 42 
4.4  46, 2233, 36, 39, 40 
4.5  413, 1517, 20, 22, 23 
4.6  1, 2, 813, 1720, 32, 33, 40, 41, 44 
5.1  610, 1315, 1729, 33, 34, 3743, 47, 59, 6163, 6567, 7073, 7880 
5.2  2, 3, 6, 7, 1014, 23, 30, 34, 35, 38, 39, 4447, 5052, 5561 
5.3  69, 15, 18, 20, 22, 24, 2629, 31, 3336, 3941, 4547 
5.4  13, 79, 1315, 2023, 2733, 3941, 4344 
6.1  3, 5, 7, 9, 1719, 2326, 3335 
6.2  1523, 28, 31, 39, 40, 43 
6.3  1417, 2327, 30, 33 
6.4  35, 911, 15, 16 
6.5  112, 14, 15, 17 
7.1  11, 13, 15, 17, 19, 21, 23, 2733, 35, 37 
7.2  19, 1118, 2023 
8.1  3, 5, 11, 13, 1517, 24, 25 
8.2  39, 1215, 18, 19 