| Instructor: Christopher Stover (webpage) |
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| Email: cstover (at) math (dot) fsu (dot) edu |
| Office: MCH 402-F |
| Office Hours: |
| Mondays ‐ 11:00am to 2pm |
| or by apponitment (!!!) |
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Meeting Location: 222 MCH 101 LOV |
| Meeting Times: |
| Mondays ‐ 5:15pm to 6:05pm |
| Tuesdays & Thursdays ‐ 5:15pm to 6:30pm |
| Final Exam: |
| Wednesday, May 2, 5:30pm to 7:30pm |
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| Syllabus: .pdf |
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| Required Text: |
| Linear Algebra and Its Applications, 5th Edition, by David C. Lay, Steven R. Lay, and Judi J. McDonald. (Amazon) |
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Supplementary Resources:
- Slack Show Details
Slack is an organization-centered chat tool that allows largescale collaboration, discussion, and interaction. Think of it as a chat room on steroids!
While I'll always be available (unless otherwise noted) during office hours and via email, Slack will allow evveryone the opportunity to chat with me + other classmates, both in real-time and asynchronously. It's an extremely valuable resource!
Slack can be used directly from any Internet browser. Our class's room info is:
To get started, you should:
- Navigate to the signup page
- Enter your
my.fsu.edu email address; make sure you're able to check the email address you enter or else you'll miss any confirmation emails, etc.
- When you choose a username, please choose one that I'll be able to recognize! Sometimes, assignments include (graded)
Slack components, and you probably don't want to miss out on a grade because I don't recognize you as duckface_brah_doo_1993_lululz or something similar!
- Feel free to email me at any time if you have trouble signing up.
Note: Slack can be used directly from any Internet browser with no installation needed. However, you can also install it on any computer, phone, tablet, etc., so that you have access to our course chat at all times. For more information about installing Slack, see: https://slack.com/downloads.
- Canvas Show Details
I'll make use of Blackboard Canvas for announcements, sharing of documents, and gradebook maintenance. My goal is to keep this webpage synced up with all of that data except the gradebook, however, so by and large, you likely won't need to check both this site and the Canvas page.
As of now, you should all be added to the Canvas site automatically. If you're not sure how to find it, you should:
- Navigate to MyFSU.
- Sign in with your FSU username and password.
- Click on the Canvas icon
 in the left column.
- Locate course number
MAS3105-0004 on under Dashboard.
Note: Spring 2018 is my first semester using Canvas instead of Blackboard, and as such, I suck at it! I'm working to get better, though, and if you have any feedback regarding things I can do/make better on our Canvas site, please don't hesitate to let me know!
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| Below is a calendar highlighting the important dates for our class this semester. To access it from a web browser and/or to import it into your personal apps, use the HTML and/or iCal link(s): HTML Link – iCal Link
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Homework Policy: Hide
- I'll bring printed copies of the homework to class;
- you should show all work for every solution you carry out, and this work should go on separate paper (not on the handout itself!);
- you should put only your final answers on the handout itself;
- your scrap paper should be stapled to the handout itself, and if it has any "spiral notebook frills" (the little pieces of paper hanging off when you tear it out from a spiral-bound notebook), you should remove those before turning it in!
Note: Due to the size of this class, failure to follow these instructions will be a tremendous hassle tome; as such, you will be penalized for failing to follow these directions!
Quizzes:
Exam Previews:
| Exam 4 Preview: .pdf Solutions |
| Exam 3 Preview: .pdf Solutions | True/False Solutions (be sure to focus on the explanations; the why? is more important for your understanding than the answer!) |
| Exam 2 Preview: .pdf Solutions |
| Exam 1 Preview: .pdf Solutions | Exam1TF.pdf True/False Solutions
Corrections:
Questions 1(a) and 1(b): In my answer key, I gave the REF & RREF forms of the matrix $\begin{pmatrix}2 & 0 & -1 & -1 \\ 3 & 1 & 2 & \fbox{5} \\ -4 & 0 & 4 & 11\end{pmatrix}$ instead of $\begin{pmatrix}2 & 0 & -1 & -1 \\ 3 & 1 & 2 & \fbox{-5} \\ -4 & 0 & 4 & 11\end{pmatrix}$, as the handout assigned. One example of REF for $\begin{pmatrix}2 & 0 & -1 & -1 \\ 3 & 1 & 2 & \fbox{-5} \\ -4 & 0 & 4 & 11\end{pmatrix}$ is $\begin{pmatrix}2 & 0 & -1 & -1 \\ 0 & 2 & 7 & -7 \\ 0 & 0 & 2 & 9\end{pmatrix}$. The coorresponding RREF is then $\begin{pmatrix}1 & 0 & 0 & \dfrac{7}{4} \\ 0 & 1 & 0 & -\dfrac{77}{4} \\ 0 & 0 & 1 & \dfrac{9}{2}\end{pmatrix}$.
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Exams:
Chapter 4 (Vector Spaces)
Chapter 2 + Determinants (Ch 3) + Dimension, etc. (Ch 4)
| Invertible Matrix Theorem II: .pdf |
| Column Spaces, Nullity, and all that Jazz: .pdf |
| Invertible Matrix Theorem I: .pdf |
| Transposes, Determinants, and Inverses: .pdf |
Chapter 1 Stuff
| Linear (In-)Dependence Flowchart: .pdf |
| Linear Combinations, Spans, and Solving Linear Systems: .pdf Solutions |
| Check Your Understanding—REF & RREF: .pdf |
| Elementary Row Operations + REF + RREF: .pdf |
| Matrices I (first-day handout): .pdf |
Chapters 6 (orthogonality, etc.) & 7 (symmetric matrices) Hide
| Chapter 6 & 7 stuff: Notes |
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Problems: Coming soon
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| Chapter 6 stuff: Notes |
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Problems: Coming soon
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Chapter 5 (Eigenvalues, etc.) Hide
| Sections 5.1, 5.2, & 5.5: Notes |
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Problems: Section 5.1: (1-16, 21, 22(a,b,d,e), 31-32)(!!!); (17-20, 23-30)*
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Section 5.2: (1-17, 20-22)(!!!); (18-19)*
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Section 5.5: (1-12)(!!!); (13-20, 22-26)*
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Chapter 4 + 5(Vector Spaces) Hide
| Section 5.4: Notes |
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Problems: (1-4, 8, 11-12)(!!!); (13-16, 27-29)*
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| Section 4.7: Notes |
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Problems: (1-14)(!!!); (15-16, 20a)*
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| Section 4.4: Notes |
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Problems: (1-12, 15-17, 21-22)(!!!); (18-20, 23-26)*
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Section 4.2, 4.3, ... : Notes
(Dimension, Column/Row Space (+ Rank), Null Space/Kernel (+ Nullity), etc.) |
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Problems: Section 2.8: (1-21, 22(a,b,c,d), 23-26)(!!!); (27-36)*
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Section 2.9: (9-14, 17(b,d,e), 18(c,d,e), 19-21)(!!!); (22-27)*
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Section 4.2 [replace the words "vector space" with "subspace of $\mathbb{R}$n for the appropriate n"]:
(1-6, 7-13, 17-20, 23-25, 26(a,b,c,d))(!!!); (15-16, 21-22)*
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Section 4.3: (1-10, 13-16, 19-21, 22(a,b,c), 23, 29-30)(!!!); (25, 31-32)*; (16-17)opt
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Chapter 2 + Determinants (Ch 3) + Dimension, etc. (Ch 4) Show
Section 2.8, 2.9, ... : Notes
(Dimension, Column/Row Space (+ Rank), Null Space/Kernel (+ Nullity), etc.) |
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Problems: Section 2.8: (1-21, 22(a,b,c,d), 23-26)(!!!); (27-36)*
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Section 2.9: (9-14, 17(b,d,e), 18(c,d,e), 19-21)(!!!); (22-27)*
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Section 4.2 [replace the words "vector space" with "subspace of $\mathbb{R}$n for the appropriate n"]:
(1-6, 7-13, 17-20, 23-25, 26(a,b,c,d))(!!!); (15-16, 21-22)*
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Section 4.3: (1-10, 13-16, 19-21, 22(a,b,c), 23, 29-30)(!!!); (25, 31-32)*; (16-17)opt
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| Section 2.2: Notes |
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Problems: (1-10, 29-32)(!!!); (11-26)*
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| Section 2.1 + Determinants: Notes |
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Problems: Section 2.1: (1-4, 7-13, 15-26)(!!!); (27-34)*
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Section 3.1: (1-14 [cofactor expansion isn't necessary; use any method!], 19-30, 33-38)(!!!); (39-40)*
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Preliminaries + Chapter 1 Show
| Section 1.9: Notes |
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Problems: (1-12, 15-28, 35-36)(!!!); (13-14)*
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| Section 1.8: Notes |
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Problems: (1-17, 19-22)(!!!); (24-36)*
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| Section 1.7: Notes |
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Problems: (1-22, 33-39)(!!!); (23-36, 29, 31-32)*
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| Section 1.4 & 1.5: Notes |
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Problems: Section 1.4: (1-16, 18-27, 31-32, 34)(!!!); (28-30, 33, 35-36)*
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Section 1.5: (1-14, 17-20, 23-28)(!!!); (35-40)*
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| Section 1.3: Notes |
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Problems: (1-6, 9-21, 23-36)(!!!); (32-34)*
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| Sections 1.1 + 1.2: Notes |
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Problems: Section 1.2: (1-2, 7-14, 17-22)(!!!); (23-32)*
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Section 1.2: Notes
(REF & RREF) |
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Problems: Section 1.1: (23(a,b), 24(b), 29-32)(!!!)
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Section 1.2: (1-2, 21(a,b), 22(a))(!!!)
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Preliminaries: Notes
(Adding & Multiplying Matrices, Vectors, Dot Product, etc.)
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Problems: Section 1.4: (1-4)(!!!)
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Section 2.1: (1-8, 27-28)(!!!); (9-12, 15(a,b,c), 16(a,b,c), 29-34)*; (17-26)opt
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| * = hard problems |
| (!!!) = extremely important |
| opt = optional |
| Section... = pay close attention to which section these problems are in! |
| Think I'm doing a good job? Nominate me for a thing!
Note: They ask for some data, but it's not too long overall. Note: I'm in the College of Arts & Sciences, Math Department, and you can use my FSU email (cas12c@my.fsu.edu).
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