CAAM 551: Numerical Linear Algebra

This graduate course covers stability of classic linear algebra techniques including QR and LU factorizations. Direct solvers of sparse linear systems are also covered. As are state of the art linear techniques including rank revealing QR, randomized linear algebra and fast direct solvers.

The goal of this course is to give graduate students the background so they are knowledgeable users of linear algebra software and have the ability to integrate state of the art linear algebra techniques into their research.

Semester: Fall 2018

CAAM 536: Numerical Methods for PDEs

This graduate course covers Finite Difference, Finite Element methods and one other discretization technique of the professors choice. When Dr. Gillman teaches this course the recently developed HPS (Hierarchical PoincarĂ©-Steklov) method.

The goal of this course is to introduce engineering graduate students to discretization techniques they will come across in their research. Students finish the term being able to read papers on numerical PDEs, write their own codes and be knowledge users of commercial PDE software.

Semesters: Spring 2018, Spring 2017, Spring 2016

CAAM 336: Differential Equations in Science and Engineering

This undergraduate course covers Finite Difference, Finite Element and Fourier Spectral methods for solving two point boundary value problems and PDEs that are first order in time. Each method is derived from calculus and linear algebra.

The goal of this course is to introduce engineering undergraduate students to numerical methods.

Semesters: Fall 2017, Fall 2016

CAAM 553: Numerical Analysis

This graduate course provides first year graduate students the numerical analysis tools that are the foundations of applied mathematics. Topics include interpolation, quadrature, root finding, and methods for finding eigenvalues.

The goal of this course is to prepare graduate students for research and the qualifying exam.

Semesters: Fall 2015, Fall 2014

CAAM 652: Topics in numerical differential equations

This special topics course introduces graduate students to boundary integral equations and fast direct solvers for dense linear systems.

Semesters: Spring 2015

Spring 2014 Math 13: Multivariable
Calculus

Math 46: Introduction
to applied mathematics

Fall 2013 Math 53: Chaos!

Spring 2013 Math 46: Introduction
to applied mathematics

Winter 2013 Math 8: Caluculus of one
and several variables

Math 126: Partial
Differential Equations

Spring 2012 Math 23:
Differential Equations

Winter 2012 Math 23:
Differential Equations

Fall 2011
Math 8: Caluculus
of one and several variables