Syllabus

Printable version of Syllabus and homework & project due dates (below are the highlights from the syllabus)

General Information

In this course, we will cover solving linear systems using matrices, matrix properties, vector spaces, and limited applications of these topics. (ie: Lay’s textbook chapters 1 through 5 and selected sections from chapter 6 if we have time.) There will be two types of homework sets, computer projects using Matlab, and daily quizzes. All homework sets, projects, and class handouts can be found on the class website. There will be 2 take-home tests (test 1 & test 3) and 2 in-class tests (midterm & final); there will be a review for each in-class test during the class time before that test. There will be opportunities for extra credit on both the class tests and the homework. I expect every student to attend each class and will take attendance.

Questions

Bring any questions to class. If we do not have time to go over all the questions at the beginning of class, you can ask me after class, come by my office, email me, or call me.

Late Work

Late graded homework will be accepted until the solutions are posted on the class website.
Late practice homework will be accepted until the first test following the date that section was presented in class.
Late projects will be accepted up to two weeks after the due date. No solutions for the projects will be posted.
No homework or project will be accepted after May 4.
There is no guarentee that late work will be graded. Late work will be graded 10% lower than what you would have gotten on the set.

Extra Credit

There will be opportunities for extra credit both on the class tests and on the homework.

Make-Up Tests

You must come to me ahead of time to arrange for make-up tests.

Cheating

I will not tolerate cheating. While I encourage you to use any and all resources at your disposal to complete homework and project assignments, I expect that for tests and quizzes your work is entirely your own and that you do not use any unauthorized materials (ie: notes). It is your responsibility to know the student code of integrity and how it applies to this class (ie: Look at definition of cheating. Almost everything else isn't applicable since we're a math class.).

The Code of Academic Integrity
The Code of Student Responsibility

Daily Scedule

Date Topic Covered
Jan 12 Introduction & Review & 1.1
Jan 14 1.2: Row Reduction & Echelon Forms
Jan 19 1.3: Vector Equations & Vector Spaces
1.4: Matrix Equations Ax=b
Jan 21 1.5: Solutions of Linear Equations
1.6: Applications of Linear Systems
Jan 26 1.7: Linear Independence
1.8: Linear Transformations
Jan 28 Test 1 handed out
1.9: Matrices of Linear Transformations
1.10: Linear Models
Feb 2 2.1: Matrix Operations
2.2: The Inverse Matrix
Feb 4 Test 1 due
2.3: Characterization of Invertible Matrices
Feb 9 2.4: Partitioned Matrices
Feb 11 2.5: Matrix Factorization (LU factorization)
Feb 16 2.6: Leontief Model
Feb 18 2.7: Computer Graphics
Feb 23 3.1: Intro to Determinants
Feb 25 3.2: Properties of Determinants
Mar 2 3.3: Cramer's Rule
Review for Test 2
Mar 4 Test 2 - midterm
Mar 9 spring break - no class
Mar 11 spring break - no class
Mar 16 4.1: Vector Spaces & Subspaces
Mar 18 4.2: Null Spaces, Column Spaces, & Linear Transformations
Mar 23 4.3: Linearly Independent Sets & Bases
Mar 25 4.4: Coordinate Systems
Mar 30 4.5: Dimension of a Space
Apr 1 4.6: Rank
Apr 6 4.7: Change of Basis
Apr 8 Test 3 handed out
5.1: Eigenvectors & Eigenvalues
Apr 13 5.2: Characteristic Equation
Apr 15 Test 3 due
5.3: Diagonalization
Apr 20 5.4: Eigenvectors & Linear Transformations
Apr 22 6.1: Inner Product, Length, & Orthogonality
Apr 27 6.2: Orthogonal Sets
6.3: Orthogonal Projections
Apr 29 6.4: Gram-Schmidt & QR Factorization
May 4 Review for Final
May 5 Reading Day - no class
May 11 Final Exam 8pm to 11pm