Graphing and Writing Linear Functions
Linear Equations and Graphing
Systems of Linear Equations
Solving Polynomial Equations
Matrix Equations and Solving Systems of Linear Equations
Introduction Part II and Solving Equations
Linear Algebra
Graphing Linear Inequalities
Using Augmented Matrices to Solve Systems of Linear Equations
Solving Linear Inequalities
Solution of the Equations
Linear Equations
Annotated Bibliography of Linear Algebra Books
Write Linear Equations in Standard Form
Graphing Linear Inequalities
Introduction to Linear Algebra for Engineers
Solving Quadratic Equations
Systems of Linear Equations
Review for First Order Differential Equations
Systems of Nonlinear Equations & their solutions
Quadratic Equations
Syllabus for Differential Equations and Linear Alg
Linear Equations and Matrices
Solving Linear Equations
Slope-intercept form of the equation
Linear Equations
Linear Equation Problems
Systems of Differential Equations
Linear Algebra Syllabus
Quadratic Equations and Problem Solving
The Slope-Intercept Form of the Equation
Final Exam for Matrices and Linear Equations
Linear Equations
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Linear Algebra Syllabus

Course Description: Linear algebra is a fundamental branch of mathematics dealing with the
solution of linear equations. We will consider systems of linear equations, properties of matrices and
determinants, vector spaces, linear transformations, inner products, orthogonality, eigenvectors and
eigenvalues, and the canonical representation of linear transformations.

Text Book: Elementary Linear Algebra, 9th Edition, 2005, by Anton and Rorres

Prerequisite: Calculus III, Math 335.

Office Hours: 10am MTWF, 2pm MTW. Other times by appointment. My schedule and office
hours are also listed on the webpage.

Practice Problems: Once material has been covered in class it is expected that you will work
through problems in the relevant section of the text. This daily homework is the absolute minimum
work required to succeed in the course.

Homework: Regular assignments and their due date will be announced in class. These assignments
will be graded, and are due at the beginning of the relevant class.

Exams: Exams will be held in class on Monday February 2nd, Monday March 2nd, and Monday
April 6th. The Final Exam will be held on Monday May 4th, 9:00am - 11:00am.

Attendance: Students are expected to be present at every class. Success in this course requires
regular attendance.

Grading: Grades will be based on 3 one-hour exams (a total of 300 points), homework assignments
(equally weighted and scaled to a total of 100 points), a final project (100 points) and a final
comprehensive exam (150 points). A total of 650 points are available, and the cut-o s for the final
letter grade are as follows:

A 85% B 70% C 60% D 50%
B+ 80% C+ 67% D+ 57% F Below 50%

Makeup Exams: Departmental policy dictates that make-up exams are to be given under extenuating circumstances only. No make-up quizzes will be given.

Course Outline and Tentative Schedule
Linear Algebra - Spring 2006

Week Date Section Topic
1 Jan 12 §1.1 Systems of Linear Equations
    §1.2 Gaussian Elimination
    §1.3 Matrices and Matrix Operations
2 Jan 19 §1.4 Inverses; Matrix Arithmetic
    §1.5 Elementary Matrices and the Inverse
3 Jan 26 §1.6 Systems of Equations and Invertibility
    §1.7 Diagonal, Triangular, Symmetric Matrices
4 Feb 2 §2.1 Determinants by Cofactor Expansion
    §2.2 Determinants by Row Reduction
5 Feb 9 §2.3 The Determinant Function
    §2.4 Combinatorial Approach to Determinants
6 Feb 16 Ch 3 Vectors in 2-Space and 3-Space
    §4.1 Euclidean n-Space
7 Feb 23 §4.2 Linear Transformations from Rn to Rm
    §4.3 Properties of Linear Transformations
8 Mar 2 §4.4 Linear Transformations and Polynomials
  Mar 9 - Spring Break
9 Mar 16 §5.1 Real Vector Spaces
    §5.2 Subspaces
10 Mar 23 §5.3 Linear Independence
    §5.4 Basis and Dimension
11 Mar 30 §5.5 Row Space, Column Space and Nullspace
    §5.6 Rank and Nullity
12 Apr 6 §6.1 Inner Product Spaces
    §6.2 Angles and Orthogonality in Inner Product Spaces
13 Apr 13 §6.3 Orthogonal Bases; Gram-Schmidt Process
    §7.1 Eigenvalues and Eigenvectors
14 Apr 20 §7.2 Diagonalization
    §8.1 General Linear Transformations
15 Apr 27 §8.2 Kernel and Range
    - Review
  May 4   Final Exam: Monday May 4th, 9-11am.

Sections may be skipped or other sections added as time allows.