Math 304.503
Linear Algebra
Fall 2013
Math 304.503
Linear Algebra
Course Description
Catalog Description.
Introductory course in linear algebra covering abstract ideas of vector space and linear transformation as well
as models and applications of these concepts, such as systems of linear equations, matrices and determinants.
Prerequisites.
MATH 152 (particular being familiar with analytic geometry and vectors); junior or senior classification.
Description.
This is an introductory course in linear algebra covering the abstract concepts of vector space and linear
transformation as well as some models and applications of these concepts to problems in the real world.
The main topics to be covered are: systems of linear equations, matrices, determinants, vector spaces, linear
transformations, orthogonality, eigenvalues and eigenvectors. The emphasis of the course is on applications
and problem solving. However the course also contains a substantial amount of abstract theory. The student
should be able to do simple proofs.
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). Matrix exponentials, rotations in
space, orthogonal polynomials, Markov chains
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 2013 by Jon Pitts
Copyright Page 1 of 2
Math 304.503
Linear Algebra
Fall 2013
Instructor and Class Information
Jon Pitts
Office: MILN 312
E-mail: j-pitts at tamu.edu
Homepage: http://www.math.tamu.edu/˜jon.pitts/
Section meets in CE 136 at TR 11:20 a.m.–12:25 a.m. Office hours are TBA.
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 2013 by Jon Pitts
Copyright Page 2 of 2