For the revisions to the syllabus due to the corona virus, click here.
For most course information, including the course calendar, see the Math 1553 Master Site:
This is the master syllabus:
The textbook:
A complete set of slides (not the slides I use in class):
For WeBWorK, Piazza, Grades, etc. see Canvas:
For online discussions and polls you can go directly to Piazza:
For on-line access to the supplementary textbook see MyMathLab (course id: jankowski45035):
Another resource is Lay's book Linear Algebra and its Applications. There is also an option for a bundle consisting of all of the linear algebra and calculus texts needed for the basic math courses at GaTech. You may want to purchase Lay or the bundle if (1) you want an extra reference for the material, (2) you want extra practice exercises, (3) you want access to the online exercises in MyMathLab, a proprietary tool for online homework, or (4) you are going to take calculus at GaTech (it is cheaper to buy the bundle than any individual parts). The choice between the book and the loose leaf version is up to you. Information about the bundle can be found here. Just to emphasize, I will not be using or discussing Lay's book, or assigning any problems from it, this semester. If you do want to use MyMathLab for the extra online homework, I highly recommend buying the bundle directly from the store (second hand codes might not work). This is completely your decision. You probably won't know until the middle of the semester whether you need/want more practice problems.
Here is a slide deck that can be used as a reference for the whole course.
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. It will be tweaked as we cover the material.
Here is the interactive row reducer.
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 me!
The master course web site has supplementary materials for each studio on the calendar there, as well as practice exams.
Here is the discussion of R_{0} I mentioned in the practice class.
Here is a video by Chris Jankowski showing an application of linear algebra to data compression.
Here is a list of suggestions for doing well in a math class, which applies very well to this course. And here is my addendum.
Homework will be assigned through WeBWorK, an online homework delivery platform accessible via Canvas. The due dates can be found on WeBWorK itself or on the course calendar on the master course web site.
Date | Topic | Materials | WeBWorK | Quiz/Exam | |
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M Jan 6 | Overview | Intro Overview |
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W Jan 8 | 1.1 Systems of linear equations | Slides | |||
F Jan 10 | Studio: through 1.1 | Warmup | |||
M Jan 13 | 1.2 Row reduction | Slides | |||
W Jan 15 | 1.2 (continued) and 1.3 Parametric form | Slides | 1.1 | ||
F Jan 17 | Studio: 1.2 and 1.3 | Quiz: 1.1 | |||
M Jan 20 | Martin Luther King Jr. Holiday, No Class | ||||
W Jan 22 | 2.1 and 2.2: Vectors, vector equations, and spans |
2.1 slides 2.2 slides Jan 22 slides |
1.2 and 1.3 | ||
F Jan 24 | Studio: 2.1 and 2.2 | Quiz: 1.2 and 1.3 | |||
M Jan 27 | 2.3 Matrix equations | 2.3 slides Jan 27 slides |
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W Jan 29 | 2.4 Solution sets and 2.5 Linear independence | 2.4 slides 2.5 slides Jan 29 slides |
2.1+2.2 | ||
F Jan 31 | Studio: 2.3-2.5 | Quiz: 2.1 and 2.2 | |||
M Feb 3 | 2.5 Linear independence (continued) | Feb 3 slides | |||
W Feb 5 | 2.6 Subspaces | 2.6 slides Feb 5 slides |
2.3, 2.4, 2.5 | ||
F Feb 7 | Midterm 1: through 2.5 | Midterm 1 (solutions) |
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M Feb 10 | 2.7 and 2.9: Basis, dimension, Rank and basis theorems | 2.7 slides 2.9 slides Feb 10 slides |
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W Feb 12 | 3.1 Matrix transformations | 3.1 slides Feb 12 slides |
2.6 | ||
F Feb 14 | Studio: 2.7, 2.9, 3.1 | No quiz | |||
M Feb 17 | 3.2 One-to-one and onto transformations | 3.2 slides Feb 17 slides |
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W Feb 19 | 3.3 Linear transformations | 3.3 slides Feb 19 slides |
2.7+2.9, 3.1 | ||
F Feb 21 | Studio: 3.2, 3.3 | Quiz: 2.7, 2.9, 3.1 | |||
M Feb 24 | 3.4 and 3.5: Matrix multiplication and inverses | 3.4 slides 3.5 slides Feb 24 slides |
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W Feb 26 | 3.5 (continued) and 3.6: The invertible matrix theorem | 3.6 slides Feb 26 slides |
3.2 and 3.3 | ||
F Feb 28 | Studio: 3.4-3.6 | Quiz: 3.2 and 3.3 | |||
M Mar 2 | 4.1 Determinants | 4.1 slides Mar 2 slides |
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W Mar 4 | Review | Midterm 2 Review slides | 3.4, 3.5, 3.6 | ||
F Mar 6 | Midterm 2: 2.6 through 3.6 | Midterm 2 (solutions) |
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M Mar 9 | 4.2 and 4.3: Cofactor expansions, determinants, and volumes | 4.2 slides Mar 9 slides |
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W Mar 11 | 5.1 Eigenvalues and eigenvectors | 5.1 slides Mar 11 slides |
Det. I and II | ||
F Mar 13 | Studio: 4.1 and 5.1 | No quiz | |||
M Mar 16 | Spring Break (no class) | ||||
W Mar 28 | |||||
F Mar 20 | |||||
M Mar 23 | 5.1 (continued) and 5.2 The characteristic polynomial | Lights Out Mar 23 slides |
Practice week | ||
W Mar 25 | 5.4 Diagonalization | R_{0} Mar 25 slides |
Practice week | ||
F Mar 27 | Practice Studio | Practice week | |||
M Mar 30 | 5.2 The characteristic polynomial | 5.2 slides Mar 30 slides Song |
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W Apr 1 | 5.4 Diagonalization | 5.4 slides Apr 1 slides Song |
5.1 | ||
F Apr 3 | Studio: 5.1, 5.2, 5.4 | Quiz: Ch. 4 and 5.1 (solutions) |
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M Apr 6 | 5.5 Complex eigenvalues | 5.5 slides Apr 6 slides Office hour notes Song |
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W Apr 8 | 5.6 Stochastic matrices | 5.6 slides Apr 8 slides |
5.2 and 5.4 | ||
F Apr 10 | Studio 5.4-5.6 | Quiz 5.2, 5.4 (solutions) |
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M Apr 13 | 6.1 Dot products and orthogonality | 6.1 slides 6.2 slides Apr 13 slides |
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W Apr 15 | 6.2 & 6.3 Orthogonal projections | 6.3 slides Apr 15 slides Song |
5.5 and 5.6 | ||
F Apr 17 | Midterm 3: 4.1 through 5.6 | Midterm 3 | |||
M Apr 20 | 6.5 Least squares | 6.5 slides Apr 20 slides |
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Tue Apr 28 | Final Exam for ALL SECTIONS of Math 1553: 6:00pm–8:50pm (location to be determined) |