AIM 5113

From Department of Mathematics at UTSA
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Topics List

Date Sections Topics Prerequisite Skills Student Learning Outcomes
Week 1

Introduction to statistical reasoning and random variables

  • Uniform, Gaussian and Poisson distributions
Week 2

Introduction to statistical reasoning and random variables (continued)

  • Taguchi quality control
Week 3

Monte-Carlo methods

  • Computing integrals using the Monte-Carlo method
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