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