Math 323.501
Linear Algebra
Spring 2015
Math 323.501
Linear Algebra
Course Description
Catalog Description.
Linear equations and matrices; real vector spaces, linear transformations, change of bases, determinants,
eigenvalues and eigenvectors, diagonalization, inner products.
Prerequisites.
Designed to include more theory and be more demanding than MATH 304. Prerequisites: MATH 148,
MATH 152 or MATH 172; MATH 220; junior or senior classification or approval of instructor.
Description.
This course is for mathematics and science majors, and students interested in earning a double major in
math. Therefore, the emphasis will be on mastering the mathematics of the subject, including concepts,
definitions, proofs, and problem solving.
Course Outline
• Elementary linear algebra (Chapters 1-2). Systems of linear equations; Gaussian elimination, GaussJordan reduction; matrices, matrix algebra; determinants.
• Abstract linear algebra (Chapters 3-4). Vector spaces, linear independence, basis and dimension,
coordinates, change of basis, linear transformations.
• Advanced linear algebra (Chapters 5-6, sections 5.1-5.6, 6.1, 6.3). Orthogonality, inner products and
norms, Gram-Schmidt orthogonalization process, eigenvalues and eigenvectors, diagonalization.
• Topics in applied linear algebra (Chapters 5-6, selected sections) as time permits.
Text
Linear Algebra with Applications, 8th ed by Steven J. Leon, Pearson Prentice Hall, Upper Saddle River, NJ,
2009 (ISBN 0-13-600929-8). (http://www.pearsonhighered.com/leon/)
Course Information
c 2015 by Jon Pitts
Copyright Page 1 of 2
Math 323.501
Linear Algebra
Spring 2015
Instructor and Class Information
Jon Pitts
Office: BLOC 607
E-mail: j-pitts at tamu.edu
Homepage: http://www.math.tamu.edu/˜jon.pitts/
Section meets in BLOC 121 at MWF 10:20 a.m.–11:10 a.m. Office hours are MW 11:30-12:20 and by
appointment.
Basis for Grading
Semester grades will be determined on the basis of homework and/or in-class quiz scores (20%), two inclass exams (25% each), and a final exam (30%). Problem sets will be assigned periodically. Final grades
will be awarded as follows. A total score of 90% or more guarantees an A, 80% or more a B, 70% or more
a C, and 60% or more a D.
Attendance and Make-up Policy
Attendance is mandatory. Makeups are subject to university policy. In accordance with university regulations, make-ups for missed exams and assignments will be allowed only for a university approved excuse in
writing. Whenever possible, students should inform the instructor before any work is missed.
Americans with Disabilities Act (ADA) Policy Statement
The Americans with Disabilities Act (ADA) is a federal anti-discrimination statute that provides comprehensive civil rights protection for persons with disabilities. Among other things, this legislation requires that
all students with disabilities be guaranteed a learning environment that provides for reasonable accommodation of their disabilities. If you believe you have a disability requiring an accommodation, please contact
the Department of Student Life, Disability Services Office, in Room B118 of Cain Hall or call 845-1637.
Academic Integrity Statement
An Aggie does not lie, cheat, or steal or tolerate those who do. The Honor Council Rules and Procedures
are available on the web at http://aggiehonor.tamu.edu.
Course Information
c 2015 by Jon Pitts
Copyright Page 2 of 2