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Math 401  Linear Algebra
Catalog Data This course contains an introduction to the basic concepts of linear algebra; namely Gaussian elimination, the theory of simultaneous linear equations, determinants, vector spaces, eigenvalues, eigenvectors and linear transformations. The course includes applications of linear algebra to selected topics from engineering, biology, and business.  Prerequisite: MATH 232.  Offered in the fall of every other year.  One semester, three credits.
Textbook Linear Algebra, third edition, Fraleigh/Beauregard. Addison-Wesley, 1995.
Prerequisites You must have skills in problem solving, differential and integral calculus, and differential equations.
Goals Students will become conversant with matrices in their operations and use. They will obtain a working knowledge of linear transformations and vector spaces along with the uses thereof. Students will also learn the concepts of eigenvectors and values and their “practical” applications.
Rationale

Linear Algebra is a crucial course impacting on many aspects of future work for those continuing on in graduate school in the fields of science, mathematics and engineering. It is my intention to help each student in the class learn the material as well as possible. Feel free to ask questions in and out of class whenever there is doubt. Your question is important and you are important. Learning mathematics requires doing mathematics 

Topics Vectors, matrices & linear systems
Dimension, rank and linear transformations
Vector spaces
Determinants
Eigenvalues & eigenvectors
Orthogonality
Change of basis
Solving large linear systems (LU-factorization)
Final Exam  The final exam is comprehensive.
Attendance  You must attend class regularly.
Course instructor webpage Dr. Leigh Becker