Preface¶
This document contains the lecture notes for the course MCS 472, introduction to industrial math and computation, at the University of Illinois at Chicago. MCS stands for Mathematical Computer Science MCS 472 is on the computational track in the MCS major, next to
MCS 320, Introduction to Symbolic Computation;
MCS 471, Numerical Analysis.
This work is licensed under a Creative Commons Attribution-Share Alike 3.0 License.
Introduction to Industrial Math and Computation teaches technical writing and oral presentations in preparation for industrial projects. Topics include quality control, operations research, cost-benefit analysis, differential equations, using scientific software.
The course is based on the book by Charles R. MacCluer: Industrial Mathematics. Modeling in Industry, Science, and Government, published by Prentice Hall in 2000.
There are three parts:
Statistical Reasoning, Data Acquisition and Processing
Linear Programming, Regression, Cost-Benefit Analysis, Machine Learning
Ordinary Differential Equations, Feedback Control, Modeling with Partial Differential Equations
Each part ends with one week of project presentations. The course is driven by problems and projects.
The lecture notes originated from the lecture slides and are still a work in progress.