In 2024 Fall semester, Dr. Gao teaches *MEEN 603: Theory of Elasticity*.

**Theory of Elasticity**

- Vectors and tensors
- Stress and equilibrium
- Strain and deformation
- Linear elastic behavior
- Boundary value problems
- Energy principles
- 2D problems
- 3D problems

**Machine Learning for Mechanical Engineers**

- Linear Regression; Regularization
- Logistic Regression
- Artificial Neural Networks
- Support Vector Machines
- Decision Trees; Ensemble Methods
- k-Nearest Neighbor Methods
- Intro to unsupervised learning; Clustering
- Spectral Decomposition and PCA
- Gaussian Process Regression

**Mechanics of Solids**

- Axially loaded members
- Stress and strain
- Safety factor and allowable load
- Torsion of bars
- Beam shear and bending moment diagrams
- Statically indeterminant structures
- Pressure vessels
- Buckling of columns
- Stress transformations, principal stresses

**Machine Element Design**

- Introduction to mechanical design
- materials selection
- stress and deformation analysis
- static failure
- fatigue failure
- gear design
- shaft design
- bearing design
- welded and bolted connections

**Computational Materials**

- Lattice and crystal structures
- Quantum mechanics of materials
- Empirical atomistic models of materials
- Molecular statics
- Classical equilibrium statistical mechanics
- Molecular dynamics