Table of topics and assignments

Good resources to find extra exercises:
    Prentice Hall website for the textbook - especially useful are the true-false questions for each section
    Professor Steve Hudson's materials for Linear Algebra . Be sure to try his exam page and his help links for Lin. Algebra.

Date
Topics covered
Suggested assignment Comments
Jan. 10
1.1. Linear systems
1(b,c), 3-7, 9, 10

Jan. 12
1.2 Row Echelon Form
1-6, 9-15
Quiz 1 on Thu, Jan. 19 from 1.1, 1.2
Jan. 17
1.3 Matrix Algebra
1-4, 9, 10, 13, 15, 16, 20, 21

Jan. 19
Rest of 1.3
part of 1.4
17, 18, 25, 27
1, 2, 3, 5, 6

Jan. 24
Rest of 1.4
10, 12, 17, 18, 22, 23, 24
Answer Key to Quiz 1
Jan. 26
2.1 Determinants
1, 3-6, 8-10
Take-home Quiz 2 - due Tue. Jan. 31
Pbs 10(h) p. 70, 18 p. 71, 8 p. 89
Jan. 31
2.2 Properties of det's
1-7, 12-16

Feb. 2
2.3 Cramer's Rule
1-12

Feb. 7
3.1 Vector spaces
1, 3, 5, 6-9, 16
Quiz 3 on Thu, Feb. 9, from sections 2.1-2.3
Feb. 9
3.2 Subspaces
2-4, 10, 16, 18, 20

Feb. 14
3.3 Lin. independence
1-3, 6, 11-13, 16, 17

Feb. 16
3.4 Basis & Dimension
1, 2, 3, 5, 7, 11, 17 Exam 1 on Thu. Feb. 23 covers up to
(and including) section 3.4
Feb. 21
Review for Exam 1
Most questions will be from (or very similar to) exercises from the suggested
homework. You should also take a look at the true-false and the review problems
of each chapter. Make sure you know very well all definitions and the statements
of important theorems. Proofs of some parts of these theorems may also be required.

Feb. 23
Exam 1


Feb. 28
3.5 Change of basis
1, 2, 5, 6, 9

Mar. 2
3.6 Row(A), Col(A)
1, 4-9, 16, 19, 22

Mar. 7
4.1 Linear Maps
1-4, 7, 14, 20, 21
Take home Quiz 4 - due Thu. Mar. 9
Mar. 9
4.2 Matrix of lin. map
1, 2, 5, 6, 14, 18
Mar. 14
4.3 Similar matrices
1, 2, 5, 7, 9, 11, 12
Mar. 16
5.1 Scalar Product
+ part of 5.2
1-13

Take home Quiz 5 - due Tue. Mar. 28
Mar. 28
5.2 Orth. Subspaces
1-9, 13-15
Exam 2 on Thursday, April 6, covers
sections 3.5, 3.6, 4.1-4.3, 5.1-5.3
Mar. 30
5.3 Least squares
1-3, 5-7

Apr. 4
Review for Exam 2
Proofs you need to know:
Thms. 5.3.1, 5.2.1, 5.2.4, 5.1.1, 4.1.1, 3.6.2, 3.6.3, 3.6.6.
You should know very well all definitions and all statements of important theorems.
Problems will be from (or very similar to) exercises in the suggested
homework. Some true-false questions will likely appear.
Extra office hour:
Wed. April 5, 5:30 pm -6:30pm
Apr. 6
Exam 2

Take home Quiz 6 - due Tue. Apr. 11
Pbs 6, 7, page 244 textbook
Apr. 11
Parts of 5.4, 5.5, 5.6
(3, 7 from 5.4), (1, 2, 15, 16 from 5.5), (3, 4, 7, 8 from 5.7)
Answer Key to Exam 2
Apr. 13
6.1 Evalues, Evectors
1-10, 18

Apr. 18
6.3 Diagonalization
1-4, 6-9, 17, 18
Take home Quiz 7 - due Thu. Apr. 27
Pb. 9, page 311, Pb. 7, page 341
Apr. 20
more 6.3
(Last class meeting)



To review: first of all, look over the previous exams and quizzes. There will be a
couple of questions from material done after exam 2, so pay attention
to the suggested homework for these last sections too. Then you should
know well definitions and statements of important theorems. Eventual
theoretical questions (proofs) will be simple applications of definitions or
main theorems. Format of the final will be similar to that of the midterms.
Office hours in the finals week: Tue, Th 2-3pm.
Review session: Wed. Apr. 26, 5-6pm,
regular classroom
Apr. 27
Final Exam
comprehensive exam
15:30-18:15 in regular classroom (GC 287B)



Score on the final exam (out of 150 pts) and grade for the class
Have a good Summer!