Teaching
Courses Taught at UAB:
MA 650 - Differential Equations
MA 252 - Introduction to Differential Equations
MA 460 - Mathematical Game Theory
Previously Taught at KU (with course pages):
Math 121 - Calculus I
Course Description:
This is a first course in differentiation and integration of algebraic and trigonometric functions with applications to physical sciences and engineering.
Math 221 - Honors Applied Differential Equations
Course Description:
Topics include first and second order ordinary differential equations and models, higher order equations, Laplace transforms, and systems of linear equations.
Math 647 - Applied Partial Differential Equations
Course Description:
Boundary value problems; topics on partial differentiation; theory of characteristic curves; partial differential equations of mathematical physics.
Math 648 - Calculus of Variations and Integral Equations
Course Description:
Topics in the calculus of variations, integral equations and applications.
Math 765 - Mathematical Analysis I
Course Description:
Math 765 and Math 766 are theoretical courses on the fundamental concepts of analysis and the methods of proof. These two courses include the concept of a real number; limits, continuity, and uniform convergence; and derivatives and integrals of functions of one and of several real variables.
Math 800 - Complex Analysis I
Course Description:
Complex numbers and functions; complex differential operators; Cauchy-Riemann equations; analytic and harmonic functions; Cauchy formula; power series representation of analytic functions; Liouville's theorem; zeros of analytic functions; Laurent series and meromorphic functions; argument principle, the residue theorem and applications; counting zeros and poles of meromorphic functions; maximum modulus principle and Schwarz lemma; Riemann mapping theorem.
Math 850 - Differential Equations and Dynamical Systems
Course Description:
Discrete and differentiable dynamical systems with an emphasis on the qualitative theory. Topics include review of linear systems, existence and uniqueness theorems, flows and discrete dynamical systems, linearization (Hartman-Grobman theorem), stable and unstable manifolds, Poincaré sections, normal forms, Hamiltonian systems, and an introduction to bifurcation theory and chaos.
Math 950 - Partial Differential Equations
Course Description:
Introduction; equations of mathematical physics; classification of linear equations and systems. Existence and uniqueness problems for elliptic, parabolic, and hyperbolic equations. Eigenvalue problems for elliptic operators; numerical methods.
All Courses Taught at KU:
- Math 115, 116 Applied Calculus I, II
- Math 125, 126 Calculus I, II
- Math 143 Honors Multivariable Calculus
- Math 177 First Year Seminar
- Honors 195 Honors Seminar
- Math 220 Applied ODEs
- Math 221 Honors ODEs
- Math 290 Linear Algebra
- Math 320 Differential Equations
- Math 647 Applied PDEs
- Math 648 Calculus of Variations and Integral Equations
- Math 765 Real Analysis I
- Math 800 Complex Analysis
- Math 850 Advanced ODEs and Dynamical Systems
- Math 851 Spectral Theory and Stability
- Math 950 Advanced PDEs
Links to KU course pages point to archived copies on the Internet Archive.