Introduction to Linear Algebra

Fall 2021

Section M

This is the web site for Math 1553 Section M Fall 2021. For more course-wide information see the Canvas page.

For most course information, see the Math 1553 Syllabus:

The textbook:

Slides from my section last year:

Slides from the book:

For WeBWorK, Grades, etc. see Canvas:

For on-line access to the supplementary textbook see MyMathLab:

Here is a reference sheet containing most theorems and definitions that you will learn (and be responsible for knowing) over the course of the semester.

Here is the interactive row reducer.

You can find old quizzes and exams here and here, for example

There are some games related to the course here.

You can play Lights Out here. If you want to know what this has to do with linear algebra, ask your instructor!

Quanta article about a fast linear algebra algorithm devised by GaTech faculty

New York Times article about the Napolean Dynamite problem

Recommendation algorithm with SVD

Here is a list of suggestions for doing well in a math class. And here is an addendum.

Date | Topic | Materials | WeBWorK | Quiz/Exam | Remarks | |
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M Aug 23 | Overview and 1.1 |
Overview slides Aug 23 slides |
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W Aug 25 | 1.1 Systems of linear equations |
1.1 slides Aug 25 slides |
Warmup | |||

F Aug 27 | Studio: through 1.1 | No quiz | ||||

M Aug 30 | 1.2 Row reduction |
1.2 slides Aug 30 slides |
1.1 | |||

W Sep 1 | 1.3 Parametric form |
1.3 slides Sep 1 slides |
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F Sep 3 | Studio: 1.2 and 1.3 | Quiz: 1.1 | ||||

M Sep 6 | Labor Day, No Class |
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W Sep 8 | 2.1 and 2.2: Vectors, vector equations, and spans |
2.1 slides 2.2 slides Sep 8 slides |
1.2 and 1.3 | |||

F Sep 10 | Studio: 2.1-2.2 | Quiz: 1.2 and 1.3 | ||||

M Sep 13 | 2.3 Matrix equations |
2.3 slides Sep 13 |
2.1+2.2 | |||

W Sep 15 | 2.4 Solution sets and 2.5, Linear independence |
2.4 slides Sep 15 slides |
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F Sep 17 | Studio: 2.3-2.5 | Quiz: 2.1-2.2 | ||||

M Sep 20 | 2.5 Linear independence (continued) |
2.5 slides Sep 20 slides |
2.3 and 2.4 | |||

W Sep 22 | 2.6 Subspaces |
2.6 slides Sep 22 slides |
Midterm 1: through 2.4 | |||

F Sep 24 | NO STUDIO | NO QUIZ | ||||

M Sep 27 | 2.7 and 2.9: Basis, dimension, Rank and basis theorems |
2.7 slides 2.9 slides Sep 27 slides |
2.5 and 2.6 | |||

W Sep 29 | 3.1 Matrix transformations |
3.1 slides Sep 29 slides |
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F Oct 1 | Studio: 2.5 through 3.1 | NO QUIZ | ||||

M Oct 4 | 3.2 One-to-one and onto transformations |
3.2 slides Oct 4 slides |
2.7+2.9, 3.1 | Midsemester progress reports submitted by 12 PM | ||

W Oct 6 | 3.3 Linear transformations |
3.3 slides Oct 6 slides |
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F Oct 8 | Studio: 3.2-3.3 | Quiz: 2.5-3.1 | ||||

M Oct 11 |
Mid-semester Break, No Class |
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W Oct 13 | 3.4 and 3.5: Matrix multiplication and inverses |
3.4 slides 3.5 slides Oct 13 slides |
3.2 and 3.3 | |||

F Oct 15 | Studio: 3.4-3.5 | Quiz: 3.2-3.3 | ||||

M Oct 18 | 3.6 The Invertible Matrix Theorem |
3.6 slides Oct 18 slides |
3.4 | |||

W Oct 20 | Review | Oct 20 slides | Midterm 2: 2.5 through 3.4 | |||

F Oct 22 | NO STUDIO | NO QUIZ | ||||

M Oct 25 | 4.1 Determinants |
4.1 slides Oct 25 slides |
3.5+3.6 | |||

W Oct 27 | 4.2: Cofactor expansions, determinants, and volumes |
4.2 slides Oct 27 |
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F Oct 29 | Studio: 3.6 and Chapter 4 | NO QUIZ | Withdrawal and Grade Mode Deadline, Oct. 30 | |||

M Nov 1 | 5.1 Eigenvalues and eigenvectors |
5.1 slides Nov 1 |
Det. I and II | |||

W Nov 3 | 5.2 The characteristic polynomial |
5.2 slides Nov 3 slides |
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F Nov 5 | Studio: 5.1 and 5.2 | Quiz: 3.5-3.6 and Chapter 4 | ||||

M Nov 8 | 5.4 Diagonalization |
5.4 slides Nov 8 slides |
5.1 and 5.2 | |||

W Nov 10 | 5.5 Complex eigenvalues |
5.5 slides Nov 10 slides |
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F Nov 12 | Studio: 5.4-5.5 | Quiz: 5.1 and 5.2 | ||||

M Nov 15 | 5.6 Stochastic matrices |
5.6 slides Nov 15 slides |
5.4 and 5.5 | |||

W Nov 17 | 6.1 Dot products and orthogonality |
6.1 slides Nov 17 slides |
Midterm 3: 3.5 through 5.5 | |||

F Nov 19 | NO STUDIO | NO QUIZ | ||||

M Nov 22 | 6.2 Orthogonal complements |
6.2 slides Nov 22 |
5.6 and 6.1 | |||

W Nov 24 |
Thanksgiving Holiday, No Class |
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F Nov 26 |
Thanksgiving Holiday, No Studio |
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M Nov 29 | 6.3 Orthogonal projections |
6.3 slides Nov 29 slides |
6.2 | |||

W Dec 1 | 6.5 Least squares |
6.5 slides Dec 1 slides |
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F Dec 3 | Studio: 5.6 and Chapter 6 | NO QUIZ | ||||

M Dec 6 | Final exam review |
Dec 6 slides Math 1553 slides |
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Tue Dec 14 |
Final Exam for ALL SECTIONS of Math 1553:
6:00pm–8:50pm |