Linear Algebra - with Computer Methods

M340L-C * 56145 * Spring 2003

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This is a first-course in Linear Algebra emphasizing calculational techniques for matrices. Linear algebra is the mathematical language that is used in describing any problem that involves more than one dimension. The basic tools here are vector spaces, linear operations, matrices and determinants. The concept of representing a vector in terms of components becomes the proto-type for extending our Euclidean space framework from "finite to infinite". The computer using symbolic computation, graphics and numerical simulation is essential in improving the efficiency of our analysis and calculations. The natural paradigm here is: "The purpose of computing is insight, not numbers".

The course objective is to develop an understanding of linear algebra and matrix computations and to show how computers can be used to gain intuition about math problems. Primary computation program used in the course is matlab.

Topics

• 1) Linear equations
  

• 2) Matrix algebra
  

• 3) Geometry of vector spaces
  

• 4) Orthogonality
  

• 5) Determinants
  

• 6) Eigenvalues and eigenvectors
  

Class Schedule

• Lecture: MWF 9-10am RLM 4.102 :: Computer Lab: RLM 8.136
  

• Text: Bretscher, Linear Algebra with Applications, 2nd edition
  

• Suggested Reading: Gleick, Chaos; Feynman, The Character of Physical Law
  

• Prerequisite: Background in Calculus
  

• Course work: 2 hour exams (50%), weekly problem sets and lab assignments (15%) and comprehensive final (35%). Grades are roughly based on percentages marked above. Exception: strong or weak performance on the final exam may be a significant factor in overall evaluation of course work. Additional course assignments, including exams, may be made as needed for instructional purposes.
  

• Tentative exam dates: February 24, March 24 or 31; Final Exam May 10, 7-10pm
  

• Office hours: Th 11am, and by appointment. RLM 12.154 - William Beckner
  

• Email: beckner@math.utexas.edu
  

• TA: James Rath [RLM 11.152] Office hours: MWF 1-4pm
  

• Email: organism@math.utexas.edu
  

The University of Texas at Austin recognizes that students with disabilities should have full access to educational opportunity on the Austin campus, and provides upon request appropriate adjustments for qualified studets with disabilities. For more information, contact the Office of the Dean of Students at 471-6259, 471-4641 TTY.

Web page links: Mathematics Department .

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Comments to beckner@math.utexas.edu
last updated 1/16/03