MATH 4260-001, Advanced Ordinary Differential Equations II
MW: 2:30pm - 3:50pm, BR 420

Prerequisite: "C" or better in MATH 4250 or consent of instructor

Course objectives (from the departmental syllabus): The principal objective is the study of stability theory in differential systems. The students will find a rigorous but elementary treatment of several topics that are of importance in modern engineering and physics.

Textbooks:
        Lawrence Perko, Differential Equations and Dynamical Systems, Springer; 3 edition (April 1, 2006)

Topics: Systems of ordinary differential equations, matrix methods, approximate solutions, stability theory, basic theory of nonlinear equations and differential systems, trajectories, phase space stability, construction of Liapunov functions.

MATH 4540-001, Linear Algebra II
MWF: 11:15am - 12:10pm, BR 420

Prerequisite: "C" or better in MATH 4530 or consent of instructor

Course objectives (from the departmental syllabus): To introduce students to the theory of linear operators on (mostly) finite dimensional real and complex vector spaces.

Textbook: Steven Roman, Advanced Linear Algebra, Springer, Second Edition (2005).

Topics: A study of matrices and vector spaces including basic operations, systems of linear equations, determinants, eigenvalues, functions of matrices, canonical forms, spectral decomposition, generalized inverses, bases, linear transformations, change of basis, duality, inner product spaces, quadratic and bilinear forms.