Mathematics 2270-01: Linear Algebra
Schedule: Monday, Tuesday, Wednesday, Friday 10:45-11:35AM in AEB 340
Text: Otto Bretscher, Linear Algebra with applications, Fourth Edition,
Prentice Hall
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 eight chapters of
the textbook.
The first chapter recalls Gauss elimination method for solving linear
systems.
The second chapter discusses linear transformations.
The third chapter introduces the notions of linear subspaces, bases,
linear independence and dimension for spaces of n-tuples of real numbers.
The fourth chapter introduces the notions of an abstract linear space,
linear transformations and their matrices.
The fifth chapter discusses inner product spaces and orthogonality.
The sixth chapter discusses determinants and their geometric interpretation.
The seventh chapter discusses eigenvalues and eigenvectors of linear transformations.
Finally, the eight chapter discusses symmetric matrices and quadratic forms.
Plan:
First week of classes: Cover Chapter 1.
Homework:
- Tuesday: Exercises 1.1: 4, 10, 15, 26, 29, 31, 35, 37.
- Wednesday: Exercises 1.2: 7, 15, 18, 24, 25, 26.
- Friday: Exercises 1.3: 1, 3, 17, 19, 20, 27, 37.
Second week of classes: Chapter 2.
Homework:
- Tuesday: Exercises 2.1: 1, 2, 3, 5, 13, 15
- Wednesday: Exercises 2.4: 1, 2, 3, 17, 32
- Friday: Exercises 2.4: 5, 7, 9, 13, 19, 29
Third week of classes: Chapter 2.
Wednesday: Review
Friday: First Midterm
Solutions
Homework:
- Monday: Exercises 2.3: 1, 3, 5, 7, 11, 21, 25
Fourth week of classes: Chapter 3.
Homework:
- Tuesday: Exercises 3.1: 1, 3, 5, 7, 9, 11, 13, 17, 19, 21.
- Wednesday: Exercises 3.2: 11, 13, 15, 17, 19.
- Friday: Exercises 3.3: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19.
Fifth week of classes: Chapter 3, 4.
Homework:
- Monday: Exercises 3.3: 21, 23, 25, 27, 37, 39.
- Tuesday: Exercises 3.4: 1, 3, 5, 7, 9, 11, 13, 15, 17.
- Wednesday: Exeercises 3.4: 19, 21, 23, 25, 27, 29.
- Friday: Exercises 4.1: 1, 3, 5, 7, 9, 11.
Sixth week of classes: Chapter 4.
Homework:
- Tuesday: Exercises 4.1: 13, 19, 29.
- Wednesday: Exercises 4.2: 1, 3, 5, 7, 9, 11.
- Friday: Exercises 4.3: 1, 3, 5, 7, 21, 23.
Seventh week of classes: Chapter 5.
Wednesday: Review
Friday: Second midterm
Solutions
Eight week of classes: Chapter 5.
Homework:
- Monday: Exercises 5.1: 1, 3, 5, 7, 9, 11.
- Tuesday: Exercises 5.1: 25, 27, 29, Exercises 5.2: 1, 3, 5, 7, 9, 11.
- Friday: Exercises 5.3: 1, 3, 5, 7, 9, 11, 33, 37.
Ninth week of classes: Chapter 5 & 6
Homework:
- Monday: Exercises 5.3: 31, 35, 53, 55, 59.
- Friday: Exercises 6.1: 1, 3, 5, 7, 9, 11.
Tenth week of classes: Chapter 6
Homework:
- Monday: Exercises 6.2: 1, 3, 5, 7, 9.
- Tuesday: Exercises 6.3: 23, 24.
Wednesday: Review
Friday: Third Midterm
Solutions
Eleventh week of classes: Chapter 7
Homework:
- Monday: Exercises 6.3: 25.
- Tuesday: Exercises 7.2: 1, 3, 5, 7, 9, 11.
- Wednesday: Exercises 7.3: 1, 3, 5, 7, 9, 11.
- Friday: Exercises 7.4: 5, 7, 9, 11, 13, 15.
Twelfth week of classes: Chapter 7
Wednesday: Maple Session in LCB 115
Homework:
- Monday: Exercises 7.4: 21, 23, 25, 27, 29.
- Tuesday: Exercises 7.4: 31, 33.
Thirteenth week of classes: Chapter 8
Maple Assignment
Wednesday: Maple Session in LCB 115
Fourteenth week of classes: Chapter 8
Friday: Fourth Midterm
Solutions
Exams:
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: Friday, January 30
- Second Midterm: Friday, February 27
- Third Midterm: Friday, March 27
- Fourth Midterm: Friday, April 24
Final Exam Schedule: In AEB 340 on Monday, May 4, 2009, 10:30 am - 12:30 pm
Final: Solutions
Last edit by dm, May 4, 2009.