Math 344   Spring 2024

Instructor

Dr. Lili Ju
Office: LeConte College 327
Phone: (803) 576-5797
Email: ju@math.sc.edu
Office hours: Tu,Th 10:00am-11:30am or by appointment.
URL: http://people.math.sc.edu/ju/Homepage_files/teaching/math344_S24.html

Course Description and Meeting Times

Math 344 (Section 002), Applied Linear Algebra, Cr. 3.
Prerequisite: Qualification through placement or a grade C or better in Math 241
Lectures: Tu,Th 1:15pm-2:30pm, Humanities Classroom 302

Textbook

TEXTBOOK: Introduction to Linear Algebra, by Gilbert Strang, 5th Edition (2016), Wellesley-Cambridge Press.

Learning Outcomes

Students who successfully complete Math 344 are expected to master fundamental concepts in linear algebra, such as vectors, subspaces, determinants, eigenvalues and eigenvectors of matrices, etc. and utilize these concepts and methodology learned from this course to solve problems in context.

Reading

Reading the textbook in advance of the lecture is strongly encouraged. Benefits of this preparation include obtaining a familiarity with the terminology and concepts that will be encountered (so you can distinguish major points from side issues), being able to formulate questions about the parts of the presentation that you do not understand, and having a chance to review the skills and techniques that will be needed to apply the new concepts.

Course Outline

Tentative Weekly Syllabus of Sections Covered
Week Dates Tuesday Thursday
1 Jan. 8--Jan. 12 Lecture 1 Lecture 2
2 Jan. 15--Jan. 19 Lecture 3 Lecture 4
3 Jan. 22--Jan. 26 Lecture 5 Lecture 6
4 Jan. 29--Feb. 2 Lecture 7 Lecture 8
5 Feb. 5--Feb. 9 Lecture 9 Lecture 10
6 Feb. 12--Feb. 16 Lecture 11 Exam 1
7 Feb. 19--Feb. 23 Lecture 12 Lecture 13
8 Feb. 26--Mar. 1 Lecture 14 Lecture 15
9 Mar. 4--Mar. 8 Spring Break
10 Mar. 11--Mar. 15 Lecture 16 Lecture 17
11 Mar. 18--Mar. 22 Lecture 18 Lecture 19
12 Mar. 25--Mar. 29 Lecture 20 Lecture 21
13 Apr. 1--Apr. 5 Lecture 22 Exam 2
14 Apr. 8--Apr. 12 Lecture 23 Lecture 24
15 Apr. 15--Apr. 19 Lecture 25 Lecture 26
Final Exam: April 30, 2024 (Tuesday), 12:30pm-3:00pm

Lecture Contents
Lectures Content
Lecture 1-3 Introduction to Vectors (Chapter 1)
Lecture 4-8 Solving Linear Equations (Chapter 2)
Lecture 9-12 Vector Spaces and Subspaces (Chapter 3)
Lecture 13-17 Orthogonality (Chapter 4)
Lecture 18-21 Determinants (Chapter 5)
Lecture 22-26 Eigenvalues and Eigenvectors (Chapter 6)

Important Dates

The deadline to drop the course without a grade of "W" being recorded is January 36, 2024 (Tuesday).
The deadline to drop the course without a grade of "WF" being recorded is March 25, 2024 (Monday).

Grading Policy

Course grades will be determined from student performance on exams and quizzes. There will be weekly 10-15 minutes quizzes and three exams: two 75 minutes in-class exams and a final exam. The two lowest quiz scores will be dropped and no make-up quizzes will be given. The two in-class exams, which are indicated on the syllabus above, will be given during the time normally used for lecture. Each of these exams will test only the material covered since the previous exam. In contrast the final exam, which will be given during the week of final exams, will be a cummulative exam. Reason for missing an exam must be properly documented and any missed exam must be made up within a week. Homework will be assigned on a daily basis and should be done before the next class. Althought not collected, these homework assignments are an essential part of the course for learning and understanding the course material. They should be thought of as required for success in the course. The grades for the course are determined as follows:

 Exam 1  25%
 Exam 2  25%
 Final Exam  30%
 Quizzes  20%
 Total  100%

A straight scale will be used so that A's, B's C's and D's correspond to the percent ranges 100-90, 90-80, 80-70 and 70-60 respectively. Plus grading will be used. For example:

90-100:A 86-89: B+ 80-85: B 76-79: C+
70-75: C 66-69: D+ 60-65: D 0-59: F

Attendance and Academic Honesty

Attendance at every class meeting is important and expected. Students missing more than 10% of the class meetings (4 times) can have their grade lowered. Cheating and plagiarism will not be tolerated. Violations of this policy will be dealt with according to University guidelines.

Homework Assignments

Section
 Problems
Section 1.1 # 2, 3, 4, 6, 9, 16, 28
Section 1.2 # 1, 3, 4, 5, 6, 7, 9, 12, 16, 21, 31
Section 1.3 # 1, 2, 4, 6, 7, 8, 9
Section 2.1 # 1, 4, 5, 9, 11, 16, 18
Section 2.2 # 1, 3, 6, 8, 12, 16, 21, 27
Section 2.3 # 1, 3, 9, 12, 14, 17, 21, 25, 28
Section 2.4 # 2, 3, 5, 7, 11, 12, 15, 22, 23, 24, 26
Section 2.5 # 1, 3, 7, 11, 12, 16, 22, 25, 27, 29, 33
Section 2.6 # 1, 3, 5, 7, 11, 12, 13, 16
Section 2.7 # 1, 2, 4, 7, 12, 13, 16, 18, 22, 25
Section 3.1 # 2, 4, 5, 10, 11, 14, 17, 19, 20
Section 3.2 # 1, 2, 5, 9, 10, 15, 17, 19, 32, 34
Exam 1: §1.1-3.2
Section 3.3 # 1, 3, 5, 7, 8, 10, 15, 20
Section 3.4 # 1, 2, 5, 6, 8, 11, 12, 16, 23, 25, 26, 38
Section 3.5 # 2, 3, 5, 6, 8, 12, 14, 17, 18, 26
Section 4.1 # 1, 3, 6, 8, 9, 12, 16, 18, 25
Section 4.2 # 1, 3, 5, 6, 8, 11, 16, 18, 20, 30
Section 4.3 # 1, 2, 5, 6, 8, 11, 16, 17, 22
Section 4.4 # 1, 3, 6, 8, 11, 16, 21, 22, 23, 24
Section 5.1 # 1, 2, 3, 7, 9, 13, 14, 15, 20, 23, 27
Section 5.2 # 1, 2, 4, 11, 12, 13, 15, 17, 18, 20, 23
Section 5.3 # 1, 2, 6, 8, 9, 11
Exam 2: §3.3-5.3
Section 6.1 # 1, 3, 6, 8, 15, 19, 28, 34
Section 6.2 # 1, 2, 4, 5, 7, 9, 11, 19, 23
Section 6.4 # 3, 5, 7, 9, 11, 13, 21, 23, 26
Section 6.5 # 1, 2, 3, 4, 6, 8, 12, 22, 25, 28