Last Updated:  November 20, 2017

Math 2085  
Linear Algebra
Spring 2017

 

Daily Class Schedule

 

Daily Schedule

Class Date Topic Section Problems from book
1 Aug 21 Gauss's Method
One.I.1
1.17,  1.19, 1.22, 1.24, 1.27
2 Aug 23 Describing the Solution Set
One.I.2
2.15, 2.16, 2.17, 2.18, 2.21, 2.25, 2.29
3 Aug 25 General = Particular + Homogeneous
One.I.3
3.15, 3.17, 3.18, 3.20, 3.24
4 Aug 28 Gauss-Jordan Reduction
One.III.1
1.8, 1.10, 1.12, 1.14, 1.15
5 Aug 30 The Linear Combination Lemma
One.III.2
2.11, 2.14, 2.20, 2.22
6 Sept 1 Definition of Vector Space
Two.I.1 1.17, 1.18, 1.19, 1.21, 1.22, 1.28
7 Sept 6 Examples of Vector Spaces
Two.I.1, 2
2.20, 2.21, 2.23, 2.25, 2.26, 2.27, 2.29
8 Sept 8 Subspaces and Spanning Sets
Two.I.2

9 Sept 11 Linear Independence
Two.II.1
1.20, 1.21, 1.23, 1.24, 1.27
10 Sept 13 Basis
Two.III.1
1.18, 1.19, 1.20, 1.24, 1.25, 1.28, 1.19, 1.37
11 Sept 15 Review

12 Sept 18 Exam 1

13 Sept 20 Dimension of Vector Space
Two.III.2
2.16, 2.18, 2.21, 2.22, 2.26
14 Sept 22 Dimension
Two.III.2, 3

15 Sept 25 Vector Spaces and Linear Systems
Two.III.3
3.17--3.21, 3.23, 3.24, 3.29, 3.32
16 Sept 27 Definition and Examples of Isomorphism
Three.I.1
1.12, 1.13, 1.17, 1.21,1.23, 1.24
17 Sept 29
Three.I.1

18 Oct 2 Dimension characterizes Isomorphism
Three.I.2
2.9, 2.10, 2.11, 2.12, 2.14, 2.15
19 Oct 4
Three.I.2

20 Oct 6 Homomorphisms
Three.II.1
1.18, 1.19, 1,20, 1.25, 1.26, 1.31
21 Oct 9 Range and Null Space
Three.II.2
2.21, 2.23, 2.24, 2.25, 2.30, 2.33, 2.35
22 Oct 11
Three.II.2

23 Oct 13 Review

24 Oct 16 Exam 2

25 Oct 18 Linear Maps via Matrices
Three.III.1
1.12, 1.18, 1.21, 1.26, 1.29, 1.33
26 Oct 23 Matrix representation of linear map
Three.III.2
2.14, 2.15, 2.16, 2.22
27 Oct 25 Matrix sum and scalar product
Three.IV.1, 2
1.8, 1.18, 2.14, 2.15, 2.17, 2.19, 2.21, 2.33
28 Oct 27 Matrix multiplication
Three.IV.2, 3
3.24, 3.25, 3.28, 3.29, 3.32, 3.34, 3.41
29 Oct 30 Inverse of matrix
Three.IV.4
4.13, 4.14, 4.15, 4.17, 4.18, 4.20, 4.28, 4.34
30 Nov 1 Basis representation
Three.V.1
1.7, 1.9, 1.10
31 Nov 3


32 Nov 6 Determinants
Four.I.1
1.1, 1.3, 1.4, 1.7, 1.9, 1.15
33 Nov 8 Properties of determinants
Four.I.2
2.8, 2.9, 2.12, 2.13, 2.15, 2.18
34 Nov 10 Laplace expansion
Four.III.1
1.11, 1.12, 1.14, 1.16
35 Nov 13 Review

36 Nov 15 Exam 3

37 Nov 17 Matrix similarity
Five.II.1
1.8, 1.9, 1.10, 1.11
38 Nov 20 Diagonalizability
Five.II.1, 2
2.6, 2.7, 2.14, 2.15, 2.17
39 Nov 22
Five.II.2

40 Nov 27 Eigenvalues and Eigenvectors
Five.II.3
3.21, 3.22, 3.23, 3.25, 3.26, 3.27, 3.28, 3.32
41 Nov 29


42 Dec 1 Review

 

Homework Assignments

 

 

 Homework Assignment (to turn in)

Due  Date Solutions
Homework #1 Aug 28
Solutions
Homework #2 Sept 6
Solutions
Homework #3 Sept 15
Solutions
Homework #4 Sept 27
Solutions
Homework #5 Oct 4
Solutions
Homework #6 Oct 13
Solutions
Homework #7 Oct 30
Solutions
Homework #8 Nov 6
Solutions
Homework #9 Nov 13
Solutions
Homework #10 Nov 29













   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   

 

Exam Reviews

Exam 1 Review  With Solutions
Exam 2 Review  With Solutions
Exam 3 Review  With Solutions

Old Exams

Exam I (2010) Exam I (2010) Solutions Exam I (2008)  Exam I (2008) Solutions Exam I (1992) 
Exam II (2010)  Exam II (2010) Solutions Exam II (2008)  Exam II (2008) Solutions    
Exam III (2010) Exam III (2010) Solutions Exam III (2008) Exam III (2008) Solutions
Final Exam  (1992)  Final Exam  (1992) Solutions  Final Exam  (2000)  Final Exam  (2000) Solutions Final Exam (2008) 
   
   

Exams

Exams Date Solutions
Exam 1 September 18 Solutions
Exam 2 October 16 Solutions
Exam 3 November 15 Solutions
Final Exam December 8  (10:00 - 12:00 ) Solutions