# Mathematics

## Math 340  Vectors and Matrices

3 credits  Spring, 2006

MWF  8:00- 8:50  MC 378

Instructor: Dr. Mark Saegrove

MC 523   Ph: 796-3657  Home Ph: 1-608-735-4789

Office hours: MWF 1 PM

e-mail mjsaegrove@viterbo.edu

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

Course Outcomes:

Reasoning: [1.1] Students will demonstrate an understanding of axiomatic-deductive systems in the linear algebra context. [1.2] Students will read and understand proofs given in the text and in class. [1.3 and 1.4] Students will be able to make conjectures and prove or disprove them, and will deduce how to apply theory to solving assigned problems.

Problem Solving: [2.1 and 2.2] Students will solve numerous assigned problems using routine application of basic theory, and in some cases non-routine application of a variety of results, sometimes from other areas of mathematics.

Technology: [3.1 and 3.2] Students will appropriately use calculators and a computer statistical package (Matlab) to assist them in solving linear algebra problems.

Communication: [ 4.1, 4.2 and 4.3] Students will accurately and appropriately use the language of mathematics for oral in-class presentations of solutions to problems and in written solutions to problems on assignments and exams.

Text: Linear Algebra:  A Modern Introduction (2nd ed.),  David Poole,  Thomson/Brooks/Cole, 2006.

Content:  Introduction to Vectors (weeks 1 and 2)

Systems of Linear Equations (weeks 3 and 4)

Matrices (weeks 5, 6, and 7)

Eigenvalues and Eigenvectors (weeks 8, and 9)

Orthogonality (weeks 10, 11, and 12)

Vector Spaces (weeks 13, 14, and 15)

Attendance:  Expected at each class meeting.

References:  Elementary Linear Algebra, Anton and Rorres, John Wiley

Elementary Linear Algebra, Kolman and Hill, Prentice Hall

A First Course in Linear Algebra, Moore and Yaqub, Harper Collins

Introduction to Linear Algebra, Strang, Wellesley Cambridge Press

Numerous other “text-like” references in my office

Grading:  mid-semester exam  (week 7)                      100 points

homework (daily, up to 50% late penalty)   200 points

in-class presentations (daily)                        200 points

cumulative final exam (final exam week)    100 points

total                                                               600 points

ADA Statement: If you are a person with a disability and require any auxiliary aids, services, or other accommodations for this class, please see me and Wayne Wojciechowski, the Americans with Disabilities Act coordinator (MC335, 796-3085) within ten days to discuss your accommodation needs.