Math 362  Linear Algebra


Fall 2017

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Course Syllabus
Tentative Homework Assignments


DATE ASSIGNMENT
08/28
Linear Systems, Matrix Notation, and Solving
Row Reduction and Echelon Forms  (Finish next time)
Section 1.1, p. 10:  #2, 3, 6, 9, 13, 16, 17, 19, 24, 28, 31
08/30
Finish Row Reduction and Echelon Forms worksheet
Section 1.1, p. 10:  #16, 17, 19, 24, 28, 31
Section 1.2, p. 21:  #1, 3, 7, 13, 16, 18, 19, 21, 23, 26, 27
09/01
Vectors
Section 1.3, p. 32:  #1, 3, 7[Don’t answer “Is every vector…” question], 10, 11
09/04
Labor Day -- No School
09/06
Section 1.3, p. 32:  #13, 23(a-d)
Section 1.4, p. 40:  1, 4, 5, 8, 9, 11, 12
Due Friday 09/08:  Sections 1.1 & 1.2
09/08
Section 1.3, p. 32: #7[Answer “Is every vector…” question], 15, 18, 21, 23(e), 24, 25, 27(a,b), 29
Section 1.4, p. 40: #[1(b), 4(b)], 13, 15, 17-20, 21, 23, 26, 32
09/11
Section 1.5, p. 47:  #1, 4, 5, 9, 12, 13, 15, 17, 24,26, 33, [ 25(b) -- save this proof for next time.]
Quiz on Wednesday over Sections 1.3-1.4
09/13
Quiz 1 Solutions
Applications of Linear Systems: Examples
Section 1.6, p. 54: #7, 9, 11, 13, 15, 3, 5
09/15
Section 1.6, p. 54: #3, 5
Read the Introduction to Chapter 1 (pages 1-2) and write a paragraph summary.
09/18
Linear Independence Worksheet
Section 1.7, p. 60:  #1, 6, 9, 11, 31, 34, 36, 37 // 15-17, 19, 21, 25, 27, 29
Due Wednesday 09/20:  Sections 1.5 & 1.6
09/20
Finish Linear Independence Worksheet
Section 2.1, p. 100:  #2, 3, 5, 8
09/22
Matrix Operations Theorems
Section 2.1, p. 100:  #(2, 3, 5, 8), 9, 10, 11, 12, 16(a-b), 19, 21, 22, 29, 30 // 16(c-e), 27, 28, 33, 34
09/25
Section 2.2, p. 109:  #1, 4, 5, 7, 29, 32, 11, 13, 17, 21, 26
Quiz on Wednesday over Sections 1.7 & 2.1
09/27
Quiz 2 Solutions
Section 2.2, p. 109:  #9(a-e)
09/29
Inverse of a Matrix and Elementary Matrices
Section 2.2, p. 109:  #29, 32, 33[Hint in back of book], 37
Determinants  [Discussed p.1 in class, but it won't be on the exam]
Exam 1 Review Information
10/02
Exam 1Review
10/04
Exam 1 Solutions
10/06
Finished Determinants worksheet
Section 3.1, p. 167:  #1-22(every 3rd, e.g. 1, 4, ...), 25, 31, 33, 36, 37, 38, 39
10/09
Monday Fall Recess -- No Class
10/11
Section 3.2, p. 175:  #2, 9, 13, 16, 19
Properties of Determinants
Properties of Determinants -- Proof Homework Restated
10/13
Class Cancelled
10/16
Section 3.2, p. 175:  #21, 27, 31, 32, 33, 37, 40, 45[M]
Due Wednesday 10/18:  Section 3.1
10/18
Cramer's Rule and Adjoint
Section 3.3, p. 185:  #2, 5, 7, 13, 16
10/20
Section 1.8, p. 68:  #1, 2, 6, 9, 11, 13, 15, 17, 21, 23, 24, 25
10/23
Section 1.8, p. 68:  #27, 31, 33
Section 3.3, p. 185:  #19, 24, 25, 27, 28
Section 1.9, p. 78:  #1, 2, (17, 19 -- oops forgot to assign)
Quiz on Wednesday over Section 3.2 and Section 3.3(only 10/18 assignment)
10/25
Quiz 3 Solutions 
Section 1.9, p. 78:  #25, 27, (oops, needed #17 & 19) 36, 33, 35
10/27
One-to-One and Onto Transformations
Section 1.9, p. 78:  #17, 19, 25, 27, 22, 23(d,e), 24(a,d), 34
Invertible Matrix Theorem w/Transformations  [Have completed by Monday]
10/30
Section 2.3, p. 115:  #1, 4, 7, 11, 14, 17, 20, 22, 27, [33, 34, 38, 39 Linear Transformations]
Vector Spaces  [Only just started... bring back next time.]
Due Wednesday 11/01:  Section 1.8-1.9
11/01
Section 4.1, p. 195: #1, 3, 5, 7, 8, 21, 25, 27, 11, 13, 15, 17, 19, 23(a-d), 31, 32, 35[M]
11/03
Null Space and Column Space
Section 4.2, p. 205:  #1, 3, 6, 7,9,12, 15, 1, 18, 25(a-d,f), [25(e), 31]
11/06
11/08
Quiz 4 Solutions
Section 4.3, p. 213:  #1, 5, 7, 8, 9
11/10
Section 4.3, p. 213:  #14, 19, 21, 23, 27, 34, 37
11/13
Exam 2 Review Information
11/15
Exam 2 Solutions
11/17
Section 4.5, p. 229:  #2, 5, 11, 14, 15, 20
Section 4.6, p. 236:  #1, 4, 7, 8, 9, 13, 16, 18(a, c)
[Don't answer anything about Row Space
11/20
Redo #7 only on  Exam 2 (Proofs)  [Due Monday, November 27 (beginning of class)]
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
11/22
Orthogonal and Orthonormal Sets and Bases
Finish Proof on Worksheet, p. 3
Section 6.2, p. 344: #2, 5, 7, 10, 17, 19, 21, 26
11/27
Eigenvalues and Eigenvectors
Proof on p.3
Section 5.1, p. 271: #1, 4, 7, 9, 10, 11 , 17, 23, 24
Section 5.2, p. 279: #3, 8, 9, 13, 20
Due Wednesday 11/29:  Section 4.6 & 6.1
11/29
Similarity and Diagonalization [Finish the proof on p.4]
Section 5.1, p. 271:  #15, 19, 20, 21, 25, 27
Section 5.2, p. 279:  #15, 17, 18, 21, 23, 24
Section 5.3, p. 286:  #2, 3, 5
12/01
More on Diagonalization and Independent Eigenvectors
 Section 5.3, p. 286: #7, 9, 13, 16, 19, 21,  27, 29, 35[Use lambda = 7, 7, 7, -14, -14], 24, 25, 31, 32
12/04
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.]
No Quiz nor Homework Check this week.
12/06
Discrete Dynamical Systems and Eigenvalues
Section 5.6, p. 309: #1, 2, 3, 4, 5, 6
12/08
Review for Final Exam
New Material Definitions and Named Theorem Sheet

Click link for Finals Week Schedule and Office Hours
12/11
Monday Reading Day
Optional Review Session 1:00pm-2:00pm (tentatively scheduled in our regular classroom)
Office Hours 9:00am-10:00am
12/12
Tuesday
Office Hours 1:30 - 2:30
12/13
Wednesday
Office Hours 10:00 - 11:00am
MTH 362 Final Exam 1:00-3:00pm (Comprehensive)

Previous Math 362 Course -- Fall 2014



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