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At this point, I've met the requirements of my Ph.D. program for formal coursework. I've taken 16 graduate-level classes in the following departments: Mechanical and Aerospace Engineering, Electrical Engineering, Computer Science and Engineering, and Mathematics. My GPA is 4.0/4.0. Below is a list of the classes with short descriptions which include some links to sample homework assignments and projects.
Graduate-level classes (reverse chronological order)
- AE 5385 - High-temperature Gas Dynamics
- AE 6345 - Turbulence
- AE 5301 - Finite Element Method in Fluids and Heat Transfer
- AE 6311 - Advanced Structural Dynamics
- ME 5321 - Advanced Classical Thermodynamics
- AE 5381 - Boundary Layers
- CSE 5351 - Parallel Processing
- AE 5331 - Analytic Methods Engineering
- EE 5350 - Digital Signal Processing
- ME 5312 - Continuum Mechanics
- MATH 5392 - Deformation Method for Grid Adaptation and Generation
- ME 5390 - Design Optimization
- AE 5327 - Computational Fluid Dynamics
- AE 5342 - Gas Dynamics
- AE 5326 - Air-Breathing Propulsion
- AE 5311 - Structural Dynamics
This class covered thermodynamics of chemically reacting gases, statistical thermodynamics, kinetic theory, high temperature inviscid equilibrium flows, local surface inclination methods, and viscous hypersonic flows. Here are a couple sample assignments: Assignment 1 Assignment 6
In this class, I learned about the development of statistical methods used to study turbulence, Reynolds averaging, turbulence modeling, large eddy simulations and direct numerical simulations. Here is the final assignment from the course: Assignment 4
In this class, I learned about the fundamentals of the finite element method, how to derive the weak form for different partial differential equations, and how to deal with unstructured grids. We were also introduced to some other advanced concepts such as higher-order meshes and discretizations. The course wrapped up with a description of how to use the Galerkin finite element method to solve the incompressible Navier-Stokes equations. Here is my final project for the class:Project Report
This class was a continuation of the structural dynamics class I took a couple years prior to taking this course. We covered the finite element method, Ritz method, continuous systems, and reduced-order models. Here are a couple of the homework assignments: Assignment 3 Assignment 4
Assignment 5 Programming Project 6
Assignment 2 Assignment 3 Final project
Assignment 5 Assignment 7 Final Design Project Report