Introduction to Linear Algebra

Fall 2020

This is the common web site for Math 1553 Fall 2020. For section-specific information, see your section's Canvas page.

For most course information, see the Math 1553 Syllabus:

The textbook:

The slides:

For WeBWorK, Grades, etc. see Canvas:

For on-line access to the supplementary textbook see MyMathLab (course id: margalit63498):

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

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

Date | Topic | Lecture | WeBWorK | Quiz/Exam/Worksheets | Remarks |
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M Aug 17 | Introduction / Overview | Aug 17 | |||

W Aug 19 | 1.1 Systems of linear equations | Aug 19 | |||

F Aug 21 | Studio: 1.1 | Warmup | Worksheet (solutions) | ||

M Aug 24 | 1.2 Row reduction | Aug 24 | |||

W Aug 26 | 1.2 (continued), 1.3 Parametric form | Aug 26 | 1.1 | ||

F Aug 28 | Studio: 1.2, 1.3 | Quiz: 1.1 (solutions) Worksheet (solutions) Supplement (solutions) |
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M Aug 31 | 2.1 and 2.2 Vectors, vector equations, and spans | Aug 31 | |||

W Sep 2 | 2.3 Matrix equations | Sep 2 | 1.2, 1.3 | ||

F Sep 4 | Studio: 2.1, 2.2, 2.3 | Quiz: 1.2, 1.3 (solutions) Worksheet (solutions) Supplement (solutions) |
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M Sep 7 | Labor Day Holiday, No Class |
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W Sep 9 | 2.4 Solution sets, 2.5 Linear independence | Sep 9 | 2.1+2.2, 2.3 | ||

F Sep 11 | Studio: 2.4, 2.5 | Quiz: 2.1, 2.2, 2.3 (solutions) Worksheet (solutions) Supplement (solutions) |
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M Sep 14 | 2.5 Linear independence (continued) | Sep 14 | |||

W Sep 16 | 2.6 Subspaces | Sep 16 | 2.4, 2.5 | ||

F Sep 18 | Midterm 1: through 2.5 | Midterm 1 (solutions) Practice exam (solutions) |
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M Sep 21 | 2.7 Bases and dimension, 2.9 The rank theorem | Sep 21 | |||

W Sep 23 | 3.1 Matrix transformations | Sep 23 | 2.6 | ||

F Sep 25 | Studio: 2.6, 2.7, 2.9, 3.1 | Quiz: 2.6 (solutions) Worksheet (solutions) Supplement (solutions) |
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M Sep 28 | 3.2 One-to-one and onto transformations | Sep 28 | Midsemester progress reports submitted by 12 PM | ||

W Sep 30 | 3.3 Linear transformations | Sep 30 | 2.7+2.9, 3.1 | ||

F Oct 2 | Studio: 3.2, 3.3 | Quiz: 2.7, 2.9, 3.1 (solutions) Worksheet (solutions) Supplement (solutions) |
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M Oct 5 | 3.4 Matrix multiplication, 3.5 Inverses | Oct 5 | |||

W Oct 7 | 3.5 (continued), 3.6 Invertible matrix theorem | Oct 7 | 3.2, 3.3 | ||

F Oct 9 | Studio: 3.4, 3.5, 3.6 | Quiz: 3.2, 3.3 (solutions) Worksheet (solutions) Supplement (solutions) |
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M Oct 12 | 4.1 Determinants | Oct 12 | |||

W Oct 14 | Review | Oct 14 | 3.4, 3.5+3.6 | ||

F Oct 16 | Midterm 2: 2.6 through 3.6 | Midterm 2 (solutions) Practice exam (solutions) |
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M Oct 19 | 4.2 Cofactor expansions, 4.3 Volumes | Oct 19 | |||

W Oct 21 | 5.1 Eigenvalues and eigenvectors | Oct 21 | Det. I | ||

F Oct 23 | Studio: 4.1, 4.2, 4.3, 5.1 | Quiz: 4.1, 4.3 (solutions) Worksheet (solutions) Supplement (solutions) |
Last day to withdraw (will receive "W") | ||

M Oct 26 | 5.1 Eigenvalues and eigenvectors | Oct 26 | |||

W Oct 28 | 5.2 Characteristic polynomials | Oct 28 | Det. II, 5.1 | ||

F Oct 30 | Studio: 5.1, 5.2 | Quiz: 4.2, 5.1 (solutions) Worksheet (solutions) Supplement (solutions) |
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M Nov 2 | 5.4 Diagonalization | Nov 2 | |||

W Nov 4 | 5.5 Complex eigenvalues | Nov 4 | 5.2 | ||

F Nov 6 | Studio: 5.4, 5.5 | Quiz: 5.1, 5.2 (solutions) Worksheet (solutions) Supplement (solutions) |
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M Nov 9 | 5.6 Stochastic matrices | Nov 9 | |||

W Nov 11 | 6.1 Dot products and orthogonality | Nov 11 | 5.4, 5.5 | ||

F Nov 13 | Studio: 5.6, 6.1 | Quiz: 5.4, 5.5 (solutions) Worksheet (solutions) Supplement (solutions) |
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M Nov 16 | 6.2 and 6.3 Orthogonal complements and projections | Nov 16 | |||

W Nov 18 | 6.2 and 6.3 (continued) | Nov 18 | 5.6, 6.1 | ||

F Nov 20 | Midterm 3: 4.1 through 5.6 | Midterm 3 (solutions) Practice exam (solutions) |
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M Nov 23 | 6.5 Least squares | Nov 23 | |||

6.2, 6.3, 6.5 (not graded) | Practice final (solutions) | ||||

Fri Dec 4 |
Final Exam for ALL SECTIONS of Math 1553:
8:00am–11:59pm |