Math 362  Linear Algebra


Fall 2018

Any of the following pdf files can be viewed and/or printed using Adobe Acrobat Reader which is available as a free download.

Course Syllabus
Tentative Homework Assignments


DATE ASSIGNMENT
08/27
Linear Systems, Matrix Notation, and Solving  (Document Projector Not Working -- Started Worksheet on Board.  Finish Next Time.)
No homework yet.
IMPORTANT ANNOUNCEMENT:  There has been a room switch.  Starting on Wednesday, class will meet in CH 014.
08/29
Linear Systems, Matrix Notation, and Solving
Row Reduction and Echelon Forms
Section 1.1, p. 10:  #2, 3, 6, 9, 13, 16, 17, 19, 23, 26, 31
Section 1.2, p. 21:  #1, 3, 7, 13
08/31
Section 1.2, p. 21:  #16, 18, 19, 22, 23, 26, 27
Vectors
Section 1.3, p. 32:  #1, 3, 7[Don't answer "Is every vector..." question], 10, 11, 13, 23(a-d)

Enjoy the Labor Day Holiday
09/05
Section 1.4, p. 40:  1, 4, 5, 8, 9, 11, 12
Section 1.3, p. 32:  #7[Answer “Is every vector…” question], 15, 18, 21, 23(e), 24, 25, 27(a,b), 29
Due Friday 9/7:  Sections 1.1 & 1.2
09/07
Section 1.4, p. 40:  #[1(b), 4(b)], 13, 15, 17-20, 21, 23, 26, 32
Section 1.5, p. 48:  #1, 4, 5, 9, 12
09/10
Section 1.5, p. 48:  #13, 15, 17, 23, 25, 27, 35
Applications of Linear Systems: Examples
Section 1.6, p. 55:  #5, 7
Quiz Wednesday over Sections 1.3-1.4
09/12
Quiz 1  Solutions
Continue with Applications of Linear Systems
Section 1.6, p. 55:  #13, 14, 3, 4
09/14
Section 1.7, p. 61:  #1, 6, 9, 11, 31, 35
09/17
Linear Independence Worksheet
Section 1.7, p. 61:  #36, 37, 15-17, 19, 22, 25, 27, 29
Due Wednesday 9/19:  Sections 1.5-1.6
09/19
Matrix Operations Theorems
Section 2.1, p. 102:  #2, 3, 5, 8, 9, 10, 11, 12, 19, 21, 22, 29, 30, 16, 27, 28, 33, 34
09/21
Section 2.2, p. 111:  #1, 4, 29, 32, 33
09/24
Inverse of a Matrix and Elementary Matrices
Section 2.2, p. 111:  #5, 7, 11, 13, 15, 21, 25, 26, 9
09/26
Quiz 2  Solutions
Finish Inverse of a Matrix and Elementary Matrices
09/28
Determinants
Section 3.1, p. 169:  #1, 4, 7, 10, 13, 16, 19, 22, 25, 31, 34, 35, 37, 38, 39
Exam 1 Review Information
10/01
Review for Exam 1
Exam 1 Postponed to Friday, October 5
10/03
Properties of Determinants
Section 3.2, p. 175:  #2, 9, 13, 16, 19, 21, 27, 31, 33, 36, 37, 40, 45[M] 
Note:  Section 3.2 will NOT be on Exam 1
10/05
Exam 1  Solutions
10/10
Section 1.8, p. 69:  #1, 2, 6, 9, 11
10/12
Section 1.8, p. 69:  #13, 15, 17, 21, 25, 26, 29, 30, 31, 33
Section 1.9, p. 78:  #1, 2, 17, 19
10/15
One-to-One and Onto Transformations
Section 1.9, p. 78:  #(1, 2, 17, 19), 25, 27, 22, 23(d,e), 24(d,e), 33, 34, 35,36
Homework Check Postponed to Friday 10/19
10/17
Invertible Matrix Theorem w/Transformations
Section 2.3, p. 115:  #1, 4, 7, 11, 14, 17, 20, 22, 27, [33, 34, 38, 39 Linear Transformations]
10/19
Cramer's Rule and Adjoint
Section 3.3, p. 187:  #2, 5, 7, 13, 16
10/22
Vector Spaces
Section 4.1, p. 197: #1, 3, 5, 7, 8, 21, 25, 27, 29
Quiz on Wednesday over Sections 2.3 & 3.3
10/24
Quiz 3  Solutions
Section 4.1, p. 197: #11, 13, 15, 17, 19, 23(a-d), 31, 32, 35[M]
10/26
Section 4.2, p. 207: #1, 3, 6, 7, 9, 12, 15, 17,18, 25(a-d, f)
10/29
Section 4.3, p. 215:  #1, 5, 7, 8, 9, 14, 19, 21, 23, 27, 34, 37
Due Wednesday 10/31:  Sections 4.1-4.2
10/31
Started Sections 4.5-4.6 (No new homework)
11/02
Section 4.5, p. 231:  #2, 3, 11, 14, 15, 20
Section 4.6, p. 238:  #1, 4, 7, 8, 9, 13, 16, 18(a, c)
Eigenvalues and Eigenvectors
We'll be continuing with Sections 5.1-5.2, so starting the homework below is optional.
Proof on p.3
Section 5.1, p. 273: #1, 4, 7, [11, 15, 16 Ignore the directions and just find the associated eigenvectors.] , 17, 23, 24
Section 5.2, p. 281:\#3, 8, 9, 13, 20
11/05
Proof on p.3 of Eigenvalues and Eigenvectors
Section 5.1, p. 273: #1, 4, 7, [11, 15, 16 Find a basis.] , 17, 23, 24
Section 5.2, p. 281:#3, 8, 9, 13, 20
Take-Home Quiz this week over Sections 4.3, 4.5, and 4.6 [Handed out later this week.]
11/07
Similarity and Diagonalization [Finish the proof on p.4]
Section 5.1, p. 273:  #19, 20, 21, 25, 27
Section 5.2, p. 281:  #15, 17, 18, 21, 23, 24
Section 5.3, p. 288:  #2, 3, 5
No Class on Friday 11/9
11/09
No Class Today -- Take-Home Quiz will be sent via email later today.
Take-Home Quiz 4 [Due:  Monday 11/12 by 4pm]
11/12
More on Diagonalization and Independent Eigenvectors
Section 5.3, p. 288: #(2, 3, 5) 7, 9, 13, 16, 19, 21, 24, 25,  27, 29, 31, 32, 35[Use lambda = 5, 5, 3, 1, 1]
11/14
Review for Exam 2
11/16
Exam 2  Solutions
11/19
Difference Equations/Dynamical Systems
Section 1.10, p. 87:  #9, 10, 11, 12[Also, find how many cars are in each location after 1 week.]

Happy Thanksgiving!
11/26
Discrete Dynamical Systems and Eigenvalues
Section 5.6, p. 309: #1, 2, 3, 4, 5, 6
11/28
Inner Product, Length, and Orthogonality
Section 6.1, p. 336:  #2, 5, 8, 11, 12, 14, 15, 17, 19(a,b), 21, 24, 25, 27
Sections 1.10 and 5.6 due Friday 11/30
11/30
Orthogonal and Orthonormal Sets and Bases
Finish Proof on Worksheet, p. 3
Section 6.2, p. 346: #2, 5, 7, 10, 17, 19, 21, 26
12/03
Section 6.1, p. 338:  #29, 30, 31
Section 6.2, p. 346:  #11-16(all)
No Quiz Nor Homework Check This Week
12/05
Orthogonal Decomposition
Section 6.3, p. 354:  #1, 2, 7-10(all)
12/07
Review for Final Exam

Click link for Finals Week Schedule and Office Hours
12/10
Monday Reading Day
Office Hours 11:30am - 12:30pm
12/11
Tuesday
Office Hours 9:00 - 10:30am
12/12
Wednesday
Office Hours 3:00 - 4:00pm
12/13
Thursday
Optional Review Session 1:30 - 2:30pm
12/14
Friday
Cumulative Final Exam 1:00 - 3:00pm

Previous Math 362 Course -- Fall 2017



 Dr. Crawford's Home page

 Elmhurst College Mathematics Home Page

 Elmhurst College Mathematics Faculty Page