TAMU

Research Statement         CV         Teaching Statement


Isaac Harris, Ph.D.

Texas A&M University 3368 TAMU College Station, TX 77843-3368

Department of Mathematics

Office: Blocker 621A
E-mail: iharris [AT] tamu.edu -or- iharris [AT] math.tamu.edu


Thats Me

I graduated from The University of Delaware with a Ph.D. in Applied Mathematics under the advisement of Fioralba Cakoni in August 2015. I am currently at Texas A&M University where I am a Visiting Assistant Professor continuing my research in Inverse Problems and Scattering Theory with my mentor Bill Rundell. Here are links to my CV and Google Scholar page. In August of 2018 I will be joining the Department of Mathematics at Purdue University as an Assistant Professor.

Some Updates:


Education



Research

My research interests are in direct and inverse problems for PDEs, especially those arising in acoustic and electromagnetic scattering. I have been working on the inverse scattering problem of non-destructive testing for defects in complex media and parameter identification for periodic media. My research employs techniques from a multitude of areas in mathematical analysis, such as: Functional analysis, Analysis of PDEs, Numerical and Asymptotic methods.

IP-Cover-Image

This figure is the cover image for Inverse Problems Volume 31 Number 2.
Reconstructions of circular cavities in an Anisotropic material via the factorization method.

Impedance PicImpedance Pic

EIT Reconstruction of an inclusion and the impedance function via the linear sampling method.

Research Interests:



Teaching Spring 2018

I am teaching MATH 308-Differential Equations at TAMU Section 518

510 Lecture: MW - Blocker 133 at 4:10 - 05:25pm
Office Hours: MW 3:00-4:00 pm am or by appointment

Math 308 Syllabus.

Math Department course schedule. This course may not follow schedule exactly. Here is the PDF for the departments help session schedule, 308 will be MWTh from 7:00-10:00pm in Bloc 148.

Class Description/Learning Objectives: Ordinary differential equations, solutions in series, solutions using Laplace transforms, systems of differential equations. Basic hand computational techniques are still covered in this course, but perhaps not with the same emphasis as in the past. Students should be shown how to solve differential equations using the computer (both symbolically and numerically) and be expected to solve a modeling or applications problem/project where the computer is needed to complete the solution.

Homework 1 on Linear, Seperable and Exact 1st order equations.

Solutions to Quiz 1 on Linear, Seperable and Exact 1st order equations.

Homework 2 on the Uniqueness Theorems and Autonomous Equations. (Solu)

Solutions to Quiz 2 on Autonomous 1st order equations and the Uniqueness Theorem.

Homework 3 on the Linear Independance, Homogeneous 2nd order equations. (Solu)

Homework 4 2nd order equations continued with Reduction of order, Undetermined coefficents. (Solu - 2b correction)

Solutions to Quiz 3 on Linear Independance, 2nd order homogeneous equ's with constant coeff.

Exam 1 Topics: (Solu)

-1st order equ's: Linear, Separable and Exact

-2nd order equ's: Homogeneous with constant coefficient and Reduction of order

-Initial and Boundary Value problems

-Filtration Problems

Homework 5 on Undetermined coefficents and Variation of Parameters. (Solu)

Solutions to Quiz 4 on Undetermined Coefficents.

Homework 6 on Variation of Parameters and the definition of the Laplace Transform. (Solu)

The first MATLAB (Extra Credit) assignment is due 3/21 to replace lowest quiz grade.

Here is a table of basic Laplace Tranforms.

Homework 7 on the Laplace Transform for IVPs. (Solu)

Solutions to Quiz 5 on Variation of Parameters.

Homework 8 on the convolution Theorm for the Laplace Transform and BVPs. (Solu)

Homework 9 on the Piecewise continuous and Impulse functions. (Solu)

Solutions to Quiz 6 on the Laplace Transform for IVPs.

Exam 2 Topics: (Solu)

-2nd order nonhomogeneous equ's: Variation of parameters and Undetermined coefficients

-Laplace Transform: Solving IVPs/BVps, Piecewise continuous functions, Impulse Functions and Convolutions/Integral equ's

Solutions to Quiz 7 on the The Convolution Theorem.

Solutions to Quiz 8 on the Laplace Transform for Piecewise continuous and Impulse functions.

Homework 10 on Power series solutions and Euler's equation. (Solu)

THE (COMPREHENSIVE) FINAL WILL BE ON FRIDAY MAY 4TH AT 3:30-5:30 pm Blocker 133.





Last Updated: 4/19/18