Math 311-200 Syllabus - Spring 2006

Math 311. Matrices, determinants, systems of linear equations, eigenvalues, eigenvectors, diagonalization of symmetric matrices, inner product spaces, orthogonal functions, and Bessel functions. Prerequisites: MATH 221, 251 or 253; MATH 308 or concurrent enrollment therein.

Required Text. Lorenzo Sadun, Applied Linear Algebra: The Decoupling Principle, 1st ed., Prentice-Hall, Englewood Cliffs, NJ, 2001.

Topics Covered and Approximate Schedule

Week 1  Systems of linear equations, matrices, row reduction, rank of a matrix*
Week 2  Solving linear systems, matrix inversion, determinants*
Week 3  Chapter 1, 2.1, 2.2
Week 4  2.4, 2.5, 3.1
Week 5  3.2-3.5
Week 6  4.1, review, Test 1 (Friday, 2/24/06)
Week 7  4.2-4.5
Week 8  4.6, 4.8
Week 9  5.1, 5.3, 5.5
Week 10  6.1-6.4
Week 11  6.5-6.7, 6.9
Week 12  7.1, review, Test 2 (Wednesday, 4/12/06)
Week 13  7.2, 8.4
Week 14  Special functions*
Week 15  Special functions*, review

*Notes will be provided for the material covered in weeks 1, 2, 14, and 15.