Spring 2012 MAT203.01 TTR 11:30

## MAT203 Linear Algebra

 Kevin J. CarlinOffice:  Fo 113 M*-F 2:30-4:00(*except 1/23, 2/6, 2/20, 3/12, 3/26, 4/16, 4/30) Telephone: 7563E-mail: kcarlin@assumption.edu

### Required Text

Lang, Introduction to Linear Algebra, second edition, Springer, 1986.

### Homework Journal

For your homework journal, you will need a ring binder and a supply of loose-leaf paper. The homework journal is intended to be a complete record of your work arranged by topic. Class notes must be kept separately. Homework revisions, practice problems, quiz and exam corrections, and any tutorial work with me or the mathematics tutors should all be included. None of your work should be erased, obliterated, or destroyed so that you will have a true record of your learning experience.

### Calculator Policy

Graphing calculators may not be used in this course. A scientific calculator (TI-30X or equivalent) may be used but is not required.

### Electronic Devices

Any electronic communication device such as a cell phone or lap-top computer may not be used as a watch, a calculator, or for any other purpose. They must be put away and completely deactivated during class.

### Topics

Vector geometry: points in n-space, scalar product, norm, located vectors, angle between vectors, vector equations for lines and planes.

Matrices and linear equations: matrix operations and properties, systems of linear equations, Gaussian and Gauss-Jordan elimination, invertible matrices.

Vector spaces: vector space axioms, subspaces, generation, independence, dimension, rank of a matrix.

Linear mappings: matrix of a linear mapping, kernel and image, change of basis.

Determinants: definition and properties of determinants, cofactor expansions, inverse matrices, eigenvalues and eigenvectors.

There will be four quizzes, two exams (March 1 and April 19), and a cumulative final exam. The homework journal will be collected for grading near the end of the semester. Your final grade will be based on 400 points:

 4 Quizzesand Homework Best 4 @ 20 points 80 Exams 2 @ 100 points 200 Final Exam 1 @ 120 points 120 400

Grades are based on partial credit and will be scaled. Typically, the scale is A- = 75%, B- = 60%, C- = 50%, D- = 35%.

Make-ups for quizzes or exams missed due to serious illness or other emergency is possible only with prior or immediate notice and will be granted at my discretion.

### Learning Objectives

• Students should understand the properties of matrices and their connection with systems of linear equations. They should be able to use matrices to solve a variety of problems.

• Students should know the definitions and properties of vector spaces and linear mappings. Students should should be able to apply these in various situations.

• Students should know the definitions and properties of determinants. They should be able to use determinants to solve a variety of problems.

### Course Description

MAT 203 Linear Algebra
Linear systems of equations, matrix algebra, determinants, vector spaces, linear transformations, matrix representations of linear transformations, and applications. Prerequisite: MAT 118 or MAT 132.

### Academic Honesty Policy

The college's academic honesty policy will be enforced as described in the Student Academic Honesty Policy booklet. The use of a graphing calculator or any electronic communication device is a violation of this policy.

### College ADA Policy

Assumption College provides accommodation to any student with documented disabilities. If you believe that you are entitled to accommodation, please contact the Director of Disability Services (ext. 7500).