Mathematics 2270-01: Linear Algebra
Schedule: Monday, Tuesday, Wednesday, Friday 10:45-11:35AM in AEB 340
Text: Gilbert Strang, Linear Algebra, Fourth Edition, Wellesley-Cambridge Press, 2009
Contact: Office: LCB 104, Phone: (801)581-5272, E-mail: milicic@math.utah.edu
Office hours: Monday, 9:30-10:30 AM or by arrangement.
The goal of this course is to familiarize students with basic notions and
results from linear algebra. We shall cover most of the first seven chapters of
the textbook. Time permitting, we are going to discuss some applications
from Chapter 8.
The first chapter reviews the basic notions related to vectors and matrices.
The second chapter discusses solving linear equations.
The third chapter introduces the notions of vector spaces, vector
subspaces, linear independence bases and dimension.
The fourth chapter discusses orthogonality.
The fifth chapter discusses determinants and their geometric interpretation.
The sixth chapter discusses eigenvalues and eigenvectors of linear
transformations. Also, it includes the study of symmetric and positive
definite matrices.
Finally, the seventh chapter discusses the notion of linear transformation.
Plan:
First week of classes: Cover Chapter 1.
Homework:
- Tuesday: 1.1:1,2,3,4,5,6,7,8,9
- Wednesday: 1.2:1,2,3,4,5,6,7,8
- Friday: 1.3:1,2,3,4,5
Second week of classes: Chapter 2.
Homework:
- Tuesday: 2.1:1,2,3,9,10,11
- Wednesday: 2.2:1,2,3,5,12,13,15
- Friday: 2.3:1,2,3,4,5,6
Third week of classes: Chapter 2.
Homework:
- Monday:2.4:1,2,3,4,5,6
- Tuesday:2.5:1,2,3,4,5,6
- Wednesday:2.5:22,23,24,25
- Friday:2.6:1,5,6,7,9
Fourth week of classes:
Homework:
- Monday:2.6:1,5,6,7,9
- Friday:2.7:1,2,3,4,5
Tuesday: Review
Wednesday: First midterm
Solutions
Fifth week of classes: Chapter 3
Homework:
- Monday:3.1:1,2,3,4,5,19,20
- Tuesday:3.2:1,2,3,4
- Wednesday:3.3:1,2,3,8
- Friday:3.4:1,2,3,4,5,6
Sixth week of classes: Chapter 3
Homework:
- Monday:3.5:1,2,3,4,5
- Wednesday:3.5:11,12,13,14
- Friday:3.6:1,2,3,4,5,6
Seventh week of classes: Chapter 4
Homework:
- Tuesday:4.1:1,2,3,4,5
- Wednesday:4.2:1,2
Eight week of classes: Chapter 4
Homework:
- Monday:4.2:11,12,13,14
- Friday:4.4:1
Tuesday: Review
Wednesday: Second Midterm
Solutions
Ninth week of classes: Chapter 4
Homework:
- Monday:4.4:6,8,17
- Tuesday:4.4:15,18,21
- Wednesday:4.4:14,22,23
- Friday:5.1:1,2,3
Tenth week of classes: Chapter 5
Homework:
- Monday:5.1:13,14,15
- Tuesday:5.2:12,13,14,15
- Wednesday:5.3:1,2,3
- Friday: 5.3:6,7,8
Eleventh week of classes: Chapter 6
Homework:
- Monday:6.1:2,3
- Friday:6.2:1,2
Tuesday: Review
Wednesday: Third Midterm
Solutions
Twelfth week of classes: Chapter 6
Homework:
- Monday: 6.2:17,18,19,33
- Tuesday: 6.4:3,4,5,6
Thirteenth week of classes:
Homework:
- Monday: 6.5:2,3,4
- Tuesday:
Fourteenth week of classes: Chapter 7
Tuesday: Review
Wednesday: Fourth Midterm
Solutions
Fifteenth week of classes:
Monday: Review
Tuesday: Review
Wednesday: Review
There will be four midterms (during standard class periods) and the
final (at the standard time listed). The final exam will be
comprehensive. The scores of three best midterms plus the final will
be used to determine your total grade.
Midterm Exam Schedule:
- First Midterm: Wednesday, February 2
- Second Midterm: Wednesday, March 2
- Third Midterm: Wednesday, March 30
- Fourth Midterm: Wednesday, April 20
Final Exam Schedule: In AEB 340 on Wednesday, May 4, 2011, 10:30 am - 12:30 pm
Final: Solutions
Last edit by dm, May 4, 2011.