# Mathematics

## MATH 340 - VECTORS AND MATRICES

SPRING 2000

MWF 12:10 - 1:00, NC 121

Instructor: Dr. Milan Luki´c

Office: MC 521

Office Hours: MTWF 10:00-10:50, or by appointment

Phone: (608) 796-3659 (Office); 787-5464 (Home)

e-mail: mnlukic@viterbo.edu

Course Description: (from the catalog) Vector spaces, matrices, and matrix operations; determinants; linear transformations. Prerequisite: grades of C or higher in 221.

Text: R. Larson and B. Edwards, Elementary Linear Algebra, Houghton Mifflin

Company, Fourth Edition, Boston - New York, 2000.

Core (General Education) Skill Objectives:: (1) Thinking Skills:

(a) Students will use reasoned standards in solving problems and presenting arguments.

(2) Communication Skills: Students will . . .

(a) . . . read with comprehension and the ability to analyze and evaluate.

(b) . . . listen with an open mind and respond with respect.

(c) . . . access information and communicate using current technology.

(3) Life Value Skills:

(a) Students will analyze, evaluate and respond to ethical issues from an informed personal value system.

(4) Cultural Skills: Students will . . .

(a) . . . understand culture as an evolving set of world views with diverse historical roots that provides a framework for guiding, expressing, and interpreting human behavior.

(b) . . . demonstrate knowledge of the signs and symbols of another culture.

(c) . . . participate in activity that broadens their customary way of thinking.

(5) Aesthetic Skills:

(a) Students will develop an aesthetic sensitivity. Specific Course Goals:: Students will . . .

(1) . . . be exposed to an in-depth study of central ideas of linear algebra.

(2) . . . continue to expand their problem-solving skills, in particular, visualization and abstraction.

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2 MATH 340 - VECTORS AND MATRICES SPRING 2000

(3) . . . gain knowledge and skills to formalize their ideas and express them with a full mathematical rigour.

Content:: (1) Systems of Linear Equations.

(2) Matrices.

(3) Determinants

(4) Vector Spaces

(5) Inner Product Spaces.

(6) Linear Transformations.

(7) Eigenvalues and Eigenvectors.

Course Philosophy and Procedure: Just keep this simple principle in mind:

If you are not enjoying this course, if the work is not fun, then something most be wrong. Talk to me right away! This course involves a lot of concepts that easily translate into fairly straightforward (but sometimes lengthy) calculations. Geometry, i.e., visualization is essential. There are also some topics that involve a greater level of abstraction yet there will be plenty of exercises available to check and enhance your understanding of those concepts.

You will find that the concepts learned in this course can be applied to many problems in Mathematics and Science.

You should plan to reserve a significant amount of time to study for this course. The material is easy, but the nature of the exercises is such that they are going to be time consuming. Being focused is of utmost importance. Don’t rush in doing the problems!

Grading will consist of three exams (two during the semester and the

final exam) worth 100 points each. The homework and chapter projects will total to 200 points.