AIM 5113

Course description

This course introduces students to mathematical techniques useful in an industrial setting.

Date	Topics	Prerequisite Skills	Student Learning Outcomes
Week 1	Model Fitting, Basis Functions and Applications of the Inner Product		Interpolation, grid spacing, intro to MATLAB. Basis functions. Numerical integration. Latex and MATLAB basics.
Week 2	Model Fitting, Basis Functions and Applications of the Inner Product		Regression, Least Squares, Inner Products
Week 3	Model Fitting, Basis Functions and Applications of the Inner Product		Hilbert Space, Trigonometric polynomials
Week 4	Monte-Carlo methods (continued)		Learn to implement Monte-Carlo methods in Python/MATLAB
Week 5	Introduction to Data Acquisition and Manipulation		z-transform, filters, stability, error analysis, aliasing
Week 6	Discrete Fourier transform		Properties of the Fourier transform
Week 7	Linear Regression and Optimization Problems
Week 8	Cost-Benefit Analysis
Week 9	Basic of Economic Analysis
Week 10	Introduction to Ordinary Differential Equations	Derivatives
Week 11	Introduction to Partial Differential Equations
Week 12	Finite Differences
Week 13	Writing Technical Reports
Week 14	Review, advanced topics