Mon, Tue, Wed, and Thu, 1pm - 2:35pm, Room 417, Mathematics
July 5 - August 11
All important course announcements will appear here. So check back regularly.
Class meets in the Mathematics building, room 417!
The first day of class is July 5th. See you there.
To make up for the missed days we will have two makeup Fridays. July 14th and July 28th. Note that the scheduled makeup date is July 21, but I can't be in class that date so please mark these dates on your callendar.
Instructor: Matt DeLand (x45886, 206 Mathematics, deland@math.columbia.edu)
Office Hours: 11am-12pm Monday and Wednesday (the day that homeworks are due). I'll also be around Tuesday and Thursdays or other times by appointment.
Teaching Assistant: MingMin Shen. mshen@math.columbia.edu Office Hours: TBA
Text: "Linear Algebra with Applications" Steven J. Leon (Seventh Edition) Prentice Hall.
Course description: Matrices, vector spaces, linear transformation, orthogonality, rank-nullity theorem, eigenvalues and eigenvectors, canonical forms, applications. See also the course outline below.
Prerequisites: The more you know, of course, the better. That being said though, the course is for the most part self-contained. The official requirements are posted as Calculus III or the equivalent, but even this may not be that necessary. Some familiarity with complex numbers will also be assumed. Please talk to me or the TA if you need a refresher. Email me if you have specific questions as to whether or not you're prepared to take the course.
Policies: The course is only six weeks long, and we will be moving quickly.
Please try to keep up as there won't be much time to catch up. Here are some suggested policies:
Homework: Homework will be assigned daily and it is to your benefit to do it.
Resources: Help is always available from the Help Room (Mathematics 406,
10am-5pm Mon-Thur), me, or the TA.
If there's something you don't understand -- ASK.
Exams: We will have 4 quizzes, one midterm, and one final
Grading: The tentative grading scheme is as follows:
| Date | Topics/Sections covered | Remarks | Homework | Date Due |
|---|---|---|---|---|
| July 5 | Introduction (1.1-2) Systems of Linear Equations Row Echelon Form. | Welcome to the first day! | Homework 1 | July 10 |
| July 6 | (1.3) Matrix Algebra | |||
| July 10 | (1.4-5) Elementary Matrices Partioned Matrices | **Quiz 1** Homework 2 was updated since its first posting | Homework 2 | July 12 |
| July 11 | (2.1-2) Determinants Properties of Determinants | |||
| July 12 | (2.3-3.1) Cramer's Rule Vector Spaces, Definitions and Examples | Homework 3 | July 17 | |
| July 13 | (3.2-3.3) Vector Subspaces Linear Independence | There are two extra credit problems available | Extra Credit 1 | |
| July 14 | Half Review/Catch up Day (3.4) Basis and Dimension if time | Friday meeting #1 | ||
| July 17 | (3.4) Basis and Dimension (3.5) Change of Basis | Quiz 2 | Homework 4 | July 19 |
| July 18 | (3.6)Row and Column Spaces (4.1) Linear Transformations | |||
| July 19 | (4.2) Matrix Representations of Linear Transformations (4.3) Similar Matrices | Homework 5 | July 24 | |
| July 20 | Review and Catch-Up Day | |||
| July 24 | Midterm Exam | |||
| July 25 | (5.1) Scalar Products (5.2) Orthogonal Subspaces | Homework 6 | July 27 | |
| July 26 | (5.2) Orthogonal Subspaces (5.3) Least Squares | |||
| July 27 | (5.4) Inner Product Spaces | Homework 7 | July 31 | |
| July 28 | (5.5) Orthonormal Sets Start (5.6) Gram-Schmidt? | |||
| July 31 | (5.6) Gram-Schmidt (6.1) Eigenvalues and Eigenvectors | Quiz 3 | Homework 8 Extra Credit 2 | August 2 |
| August 1 | (6.2)Differential Equations (6.3)Diagonalization | |||
| August 2 | (6.4)Hermitian Matrices | Homework 9 | August 7 | |
| August 3 | (6.5)Brief words on Singular Value Decomposition (6.6)Quadratic Forms | Practice Final | ||
| August 7 | (6.7)Positive Matrices | **Quiz 4** This Homework Can only help your score if you turn it in. | Homework 10 | August 9 |
| August 8 | Matt Talks about Jordan Canonical Form Review | |||
| August 9 | Review Day | Please Show up with Questions | ||
| August 10 | FINAL |
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