# Linear Algebra

## TuTh 12:45PM – 2:00PM, BLOC 161

http://www.math.tamu.edu/~map/courses/323-fa15/

### Final Exam, Wednesday, December 16 (8:00–10:00 AM, BLOC 161)

• Covers the following sections in Andrilli & Hecker:
• Chapter 1: 1.1-1.5
• Chapter 2: 2.1-2.4
• Chapter 3: 3.1-3.4
• Chapter 4: 4.1-4.7
• Chapter 5: 5.1-5.6
• Sample exam problems, Sample exam answers
At least one problem will require a complete proof.
• Upcoming Office Hours: Tues. 12/8, 4-5; Tues. 12/15, 1-4.

### Exam 2, Thursday, Nov. 12 (in class) Solution Key

• Topics covered: Andrilli & Hecker: 3.4, 4.1-4.7
At least one problem will require a complete proof.
• Sample Exam 1, Sample Exam 1 Answers
• Sample Exam 2, Sample Exam 2 Answers
• These sample problems are taken from Math 323 exams from previous semesters
• Since we switched to a new book this semester, we have not yet covered some of the topics on these exams.
• Conversely there are some topics that we have covered that do not appear on these exams, so keep this in mind while studying!
• They are meant mainly to give you ideas of what types of questions can be asked.
• You will have 75 minutes to complete the exam.
Sample 1 was written for a 75 minute period.
Sample 2 was written for a 50 minute period, so our exam will be correspondingly a bit longer than Sample 2.
• As a reminder, calculators are not permitted on the exam.

### Exam 1, Thursday, Oct. 8 (in class) Solution Key

• Topics covered: Andrilli & Hecker: 1.1-1.5, 2.1-2.4, 3.1-3.3
At least one problem will require a complete proof.
• Sample Exam 1, Sample Exam 1 Answers
• Sample Exam 2, Sample Exam 2 Answers
• These sample problems are taken from Math 323 exams from previous semesters
• Since we switched to a new book this semester, we have not yet covered some of the topics on these exams:
in particular, you can ignore any problems involving elementary matrices, vector spaces, and subspaces.
• Conversely there are some topics that we have covered that do not appear on these exams, so keep this in mind while studying!
• They are meant mainly to give you ideas of what types of questions can be asked.
• You will have 75 minutes to complete the exam.
Sample 1 is a collection of problems, and is much longer than our exam will be.
Sample 2 was written for a 50 minute period, so our exam will be correspondingly a bit longer than Sample 2.
• As a reminder, calculators are not permitted on the exam.

### Course Description:

 This is a first course in linear algebra. Topics covered inlcude linear equations, matrices, real vector spaces, linear transformations, change of bases, determinants, eigenvalues, eigenvectors, diagonlization, and inner products. There will be an emphasis on proofs, and students will be expected to write mathematical proofs to solve problems on both homework and exams.

### Course Information:

 Instructor: Matthew Papanikolas Office Hours: Tues. 4:00-5:00, Thurs. 10:30-11:30; also by appointment Office: Blocker 641H Email: map@math.tamu.edu Textbook: The required textbook is Elementary Linear Algebra, 4th Ed., by Stephen Andrilli and David Hecker, Academic Press, 2010, ISBN 978-0-12-374751-8. Course Syllabus: The course covers most of chapters 1-6, and parts of chapter 7. See below for a detailed weekly syllabus. Calculators: Use of calculators on homework is perfectly acceptable. However, calculators will not be permitted on exams. Prerequisites: Math 148, Math 152, or Math 172 (second semester calculus); and Math 220; or approval of instructor. Course Webpage: http://www.math.tamu.edu/~map/courses/323-fa15/ Department Webpage: The department's page on Math 323 is available here.

### Homework:

 Homework Problem Sets: There will be weekly assignments of problems from the text, which will be turned in for a grade. Your lowest homework score will be dropped at the end of the semester when calculating your homework average. Homework sets will be posted here http://www.math.tamu.edu/~map/courses/323-fa15/hw.html. It is perfectly reasonable for students to collaborate on homework, but each student is expected to write up solutions individually. Students turning in nearly identical work may not receive full credit on assignments.

### Exam Schedule:

 There will be 2 in-class exams during the semester, as well as a cumulative final exam. The dates and times are listed below.

Exam 1

Exam 2

Final Exam

Date/Time

Oct. 8 (Thurs.)
12:45-2:00

Nov. 12 (Thurs.)
12:45-2:00

Dec. 16 (Wed.)
8:00-10:00 AM

Location

BLOC 161

BLOC 161

BLOC 161

Component

Percentage

Homework

15%

Exam 1

25%

Exam 2

25%

Final Exam

35%

 The following grade distribution will be used in determining final course grades:

Percentage of Total Points

A

90.0%-100.0%

B

80.0%-89.9%

C

70.0%-79.9%

D

60.0%-69.9%

F

0.0%-59.9%

### Detailed Syllabus:

We will use the following schedule for lectures, covering material out of the given sections of Andrilli & Hecker. We will adhere to this schedule as closely as possible, though changes may be necessary as the semester progresses.

 Week 1 (9/1, 9/3): Sections 1.1-1.3 Week 2 (9/8, 9/10): Sections 1.4-1.5, 2.1 Week 3 (9/15, 9/17): Sections 2.2-2.3 Week 4 (9/22, 9/24): Sections 2.4, 3.1-3.2 Week 5 (9/29, 10/1): Sections 3.3-3.4 Week 6 (10/6, 10/8): Section 4.1-4.2; Exam 1 on Thurs. 10/8 Week 7 (10/13, 10/15): Sections 4.3-4.4 Week 8 (10/20, 10/22): Sections 4.5-4.6 Week 9 (10/27, 10/29): Sections 4.7, 5.1-5.2 Week 10 (11/3, 11/5): Sections 5.3-5.4 Week 11 (11/10, 11/12): Section 5.5; Exam 2 on Thurs. 11/12 Week 12 (11/17, 11/19): Sections 5.6, 6.1 Week 13 (11/24): Sections 6.2 Week 14 (12/1, 12/3): Sections 6.3, 7.5 Week 15 (12/8): Section 7.5 Wed., 12/16, 8:00 AM – 10:00 AM: Final Exam