CS2110 Object Oriented Programming & Data Structure

• used Java primarily for objected-oriented programming (classes, objects, subclasses, types),
• deal with different data structures (lists, trees, stacks, queues, heaps, search trees, hash tables),
• developed user interfaces,
• algorithm analysis (graph algorithm, asymptotic complexity)

CS4820 Introduction To Analysis Of Algorithms

• covers four major algorithm design techniques (greedy algorithms, divide-and-conquer, dynamic programming and network flow)
• covers classical algorithm: Gale Shapley Algorithm, interval scheduling and weighted interval scheduling, the Knapsack Problem, Bellman-Ford in DAG (directed acyclic graph), Ford-Fulkerson Algorithm, Max-Flow Min-Cut, Bipartite matching, Edmonds-Karp Algorithm
• undecidability and NP-completeness

MAE6810 Methods of Applied Math I

• Cartesian tensor
• Linear algebra
• Complex variable

MAE6820 Methods of Applied Math II

• Partial differential equation
• Tensor analysis
• Calculus of variations

CEE6790 Time Series Data Analysis

• Data processing tools and techniques: Fourier transforms, convolution, filtering, autoregressive moving average (ARMA) models

CHEME6800 Computational Optimization

• Systems optimization modeling including theory and algorithms of linear, nonlinear, mixed-integer linear, mixed-integer nonlinear optimization;
• Stochastic programming, robust optimization, optimization methods for big-data analysis

PHYS6780 Computational Physics

• Numerical methods for ordinary and partial differntial equations
• Linear algebra and eigenvalue problems, numerical integration
• Fast Fourier transforms and spectral method

CS6820 Matrix Computations

• Linear systems and Gaussian elimination, structured linear system
• Least squares problems
• Unsymmetric eigenvalue problems
• Symmetric eigenvalue problems
• Iterative methods for linear systems and eigenvalue problem

MAE6140 State Variable Modeling

• Introduce to the state variable modeling framework, which is used for the representation of a broad range of material behaviors and material systems, including metals, polymers and composites

MAE5730 Intermediate Dynamics and vibration

• Used three approaches: Newton Euler method, Lagrangian method and differential algebraic equations (DAE) approach to solve classical dynamics of single- and multi-degree-of-freedom systems, which is made up of particles, rigid-objects in 2 and 3 spatial dimensions

MAE7160 Fracture Mechanics

• Mechanics of fracture, including linear elastic and elastic-plastic fracture theory, energy release rate, J integral, experimental methods, computational fracture mechanics and applications;
• solving partial differential equation using MATLAB PDE Toolbox

MAE6110 Foundations of Solid Mechanics I

• fundamentals of kinematics of deformation, traction and stress, and balance of momentum;
• Constitutive theory for linear and nonlinear elastic bodies, including isotropic and orthotropic behaviors;
• Boundary conditions, requirements for well-posed problems, and uniqueness.

MAE6120 Foundations of Solid Mechanics II

• Dimensional analysis and normalization,Nonlinear beam theory (large deflection and buckling),Linear and von-karman plate theory, buckling of plates, Indentation problems (Hertz and Johnson-Kendall-Roberts theory), Thin film mechanics, Thermal stress and 2D elasticity problems

CEE7780 Continuum Mechanics & Thermodynmaics

• kinematics; conservation laws; the entropy inequality; constitutive relations: frame indifference, material symmetry; and finite elasticity, rate-dependent materials, and materials with internal state variables