Math 3333: Linear Algebra

Lecture (McGlade)

Course Information

Calendar


The following calendar is subject to revision during the term. The section references are only a guide; our pace may vary from it somewhat.


Week Lecture topics for the week Monday Tuesday Wednesday Thursday Friday
1
1.1 Systems of Linear Equations
1.2 Row Reduction and Echelon Forms
Aug 25
First day of lecture
Aug 26 Aug 27 Aug 28 Aug 29
2
1.2 Row Reduction and Echelon Forms
Sep 1
Labour Day Holiday - no class
Sep 2 Sep 3 Sep 4 Sep 5
3
1.3 Vector Equations
1.4 The Matrix Equation Ax=b
1.5 Solution Sets of Linear Systems
Sep 8
HW 1 due
Sep 9
Deadline to Drop without "W"
Sep 10
HW 1 Late Due Date
Sep 11 Sep 12
4
1.7 Linear Independence
Catch-up/Review for Midterm 1
Sep 15
HW 2 due
Sep 16 Sep 17
HW 2 Late Due Date
Sep 18 Sep 19
5
1.8 Introduction to Linear Transformations
1.9 The Matrix of a Linear Transformation
Sep 22
HW 3 due
Sep 23 Sep 24
HW 3 Late Due Date
Midterm Exam 1
11:00am-11:50am
PHSC 100
Sep 25 Sep 26
6
2.1 Matrix Operations
2.3 Characterisation of Invertible Matrices
Sep 29 Sep 30 Oct 1
HW 4 due
Oct 2 Oct 3
HW 4 Late Due Date
7
2.2 The Inverse of a Matrix
Oct 6 Oct 7 Oct 8 Oct 9
HW 5 due
Oct 10
no class
8
2.8 Subspaces of R^n
2.9 Dimension and Rank
Oct 13 Oct 14
HW 5 Late Due Date
Oct 15 Oct 16 Oct 17
9
Catch-up/Review for Midterm 2
2.9 Dimension and Rank
Oct 20
HW 6 due
Oct 21 Oct 22
HW 6 Late Due Date
Midterm Exam 2
11:00am-11:50am
PHSC 100
Oct 23 Oct 24
10
L.22 Change of Basis
3.1 Introduction to Determinants
3.2 Properties of Determinants
Oct 27 Oct 28 Oct 29 Oct 30 Oct 31
Lecture Recording Available in Canvas. No In-Person/Remote Class
11
5.1 Eigenvectors and Eigenvalues
5.2 The Characteristic Equation
5.3 Diagonalization
Nov 3
HW 7 due
Lecture Recording Available in Canvas. No In-Person/Remote Class
Nov 4 Nov 5
HW 7 Late Due Date
Nov 6 Nov 7
12
6.1 Inner Product, Length, and Orthogonality
6.2 Orthogonal Sets
7.1 Diagonalization of Symmetric Matrices
Nov 10
HW 8 due
Nov 11 Nov 12
HW 8 Late Due Date
Nov 13 Nov 14
Deadline to Drop with "W"
13
Catch-up/Review for Midterm 3
4.1 Vector Spaces and Subspaces
Nov 17
HW 9 due
Nov 18 Nov 19
HW 9 Late Due Date
Midterm Exam 3
11:00am-11:50am
PHSC 100
Nov 20 Nov 21
14
4.2 Null Spaces, Column Spaces, and Linear Transformations
4.3 Linearly Independent Sets; Bases
Nov 24 Nov 25 Nov 26
Thanksgiving Vacation
Nov 27
Thanksgiving Vacation
Nov 28
Thanksgiving Vacation
15
4.4 Coordinate Systems
4.5 The Dimension of a Vector Space
Dec 1 Dec 2 Dec 3
HW 10 due
Dec 4 Dec 5
HW 10 Late Due Date
16
Final Exam Preparation Period
Dec 8 Dec 9 Dec 10 Dec 11 Dec 12
17
Finals Week
Dec 15
Final Exam
1:30pm-3:30pm
PHSC 100
Dec 16 Dec 17 Dec 18 Dec 19

Syllabus


Course: Math 3333

Title: Linear Algebra

Credit Hours: 3

Prerequisite: MATH 2123 or MATH 1823 or MATH 1914 or permission of instructor. .

Catalog Description: Systems of linear equations, determinants, finite dimensional vector spaces, linear transformations and matrices, characteristic values and vectors.

Official University Policies The syllabus below will serve as a general guide for the administrative policies governing the course. For a further details please refer to the Official University Policy

Textbook: Linear Algebra and its Applications (5th Edition), by David C. Lay, Steven R. Lay, and Judi J. McDonald; published by Pearson (Addison Wesley).

Subject Material: We will cover parts of Chapters 1-5 of the text possibly also touching on chapter(s) 6 and/or 7.

Learning Outcomes: In this course, the assessable content is defined by the learning outcomes attached here (last updated: 09/13/25). The lecturer will periodically update this list as he prepares the lectures for the course. Students are encouraged to regularly review these learning outcomes, especially as they prepare for their midterms and final exam.

Lecture: Attending the lecture is a fundamental part of the course; you are responsible for material presented in the lecture whether or not it is discussed in the textbook.  You should expect questions on the exams that will test your understanding of concepts discussed in the lecture. Lectures will be delivered in a hybrid format so that students can either attend in-person, or remotely via zoom. After lecture, the lecture recordings will be made available to students in the my media library.

Homework: Homework is a very important part of the course and in order to fully master the topics it is essential that you work carefully on every assignment and try your best to complete every problem. Homework is due at 11:59pm on the days listed in the calendar above. Well in advance of the due date for a given homework assignment, students should navigate to Canvas and download the PDF file for the relevant homework set. Student will then solve the problems on their own paper, scan their solutions to create a PDF, and upload the PDF to the relevant assignment in Gradescope. Students can also use tablets/iPads to skip the scanning step. In the computation of a student's final grade, each homework assignment is weighted equally and accounts for 2% of the final grade. No homework assignment scores will be dropped at the end of the semester.

Late Homework Submissions: Students may find that, for whatever reason, they are unable to submit a given homework assignment by 11:59pm on the due date. The submission window for a given homework assignment will remain open on Gradescope until 11:59pm on the relevant late due date listed in the calendar above. Any homework assignment submitted after 11:59pm on the initial due date and before 11:59pm on the late due date is considered late . Late homeworks will be graded as usual. If a student submits two or less late homework(s) over the course of the semester then the late homework score(s) will contribute to their final grades as if they were submitted on time. If a student submits three or more late homeworks over the course of the semester, then the two highest scoring late homeworks will contribute to their final grade as if they were submitted on time. The remaining late homework(s) will be scored as zeros. The lecturer will not accept homework submission after 11:59pm on the late due date.

Exams: The midterm exams and final exam are scheduled for the Wednesdays of Week 5, Week 9, Week 13, and the Monday of finals week. The midterms and the final exam will take place in-person. All exams for this course will be closed note/book, and cheat sheets and calculators are not allowed. Students must bring their Sooner ID card to all exams.

Exam Versions: There may be different versions of exams given. All versions of any exam will consist of questions from the same range of topics and will be calibrated to the same level of difficulty.

Collaboration Guidelines: You might be tempted to work with others on your homework. Or consult the internet. Or ask someone who has completed the class. In the modern age, it is quite easy to find the answer to almost any question on any homework assignment in any class. Because of this, you need to adopt a personal credo that maximizes your growth as an intellectual. Here is what I ask: You make a serious effort on every single problem, by yourself, before you seek any help. When you do seek help, ask for small hints and push yourself to overcome your personal challenges with the least assistance possible. Never search the internet for how to do a problem. Never allow someone to give you too much of a hint. Never give someone too much of a hint. Never show someone how to completely do a problem. If you want to work with someone else, make sure both of you have put in serious time on the problem alone, and then note whom you worked with on your homework.

Academic Integrity: It is essential that every student adhere to the OU Academic Integrity Code. Penalties for violating the code vary depending on the circumstances but can include the assignment of a failing grade in the course or suspension from the university.

Grading Policies: Final grades will be calculated as the maximum of the following two grading schemes:

or
Your letter grade will be determined by your cumulative average at the end of the term and will be based on the following scale:

A B C D
90 80 70 60

Note that the circumstances under which the instructor will consider issuing make-up exams are very limited. If you miss a midterm exam because of any reason (sickness, car trouble, family emergency, etc.), then chance are your grade will be calculated using Formula 2. I do not curve particular homework scores or exams. If any curve is applied, it will be at the end of the class on the final course grade. I do not believe in pre-set distributions (i.e., this % of students should earn an A, this % should earn a B, etc). In my class, if you make a grade cutoff, you earn that grade.

Regrade Policy: Your homework and exams will be graded using Gradescope. If you find errors in the grading of your written work, you will have an opportunity to request a regrade through Gradescope. A regrade window will open the day after the scores are posted, and it will stay open for one week for each midterm and a few days for the final (depending on how quickly the exam is graded). During this time window you will be able to leave careful, thoughtful comments about where you feel a grading error was made. No regrade requests will be considered after the specified window closes. Please note: any regrade request may result in regrading of the entire assignment, and your overall score could go up or down.

Considerate Conduct: Here are a few of our expectations for etiquette in and out of class.

About Incomplete Grades: On very rare occasion, a student must miss the Final Exam because of extraordinary circumstances. In this case, the only possible option is an incomplete grade. The following conditions must be meet in order for the instructor to consider issuing an incomplete grade:

Access and Opportunity: The instructor is committed to fostering a equitable learning environment for this course that supports a diversity of thoughts, perspectives, and experiences, and respects your identities, including race, ethnicity, heritage, gender, sex, class, sexuality, religion, ability, age, educational background, etc. The goal is to create an empowering learning environment where all students can thrive and succeed.

If there is anything the instructor can do to improve your access to the course resources please contact him, either in person, via email, or even in a note under the door.

The instructor expects that you, as a student in this course, will honour and respect your classmates. If you experience any sort of harassment or discrimination, please consider notifying the instructor as soon as possible. If you prefer to speak with someone outside of the course, you can also reach out to contact OU Report It!