Every Wednesday (except during project presentation weeks)
we meet in SEL 2249
Course Content
The text book for this course is
`Industrial Mathematics. Modeling in Industry, Science, and Government.'
by Charles R. MacCluer, Prentice Hall, 2000.
1. Statistical Reasoning
L-1 The four most useful distributions
L-2 Taguchi quality control
L-3 Factor analysis and design of experiments
L-4 Proposals of projects, technical writing and presenting
2. The Monte Carlo method
L-5 mean time between failures and servicing requests
3. Data Acquisition and Manipulation
L-6 z-transforms
L-7 Simulations, Filters, and Stability Plots
L-8 Filters
L-9 Bode plots, feedback, and decibels
4. The Discrete Fourier Transform
L-10 cruise control and spectral analysis
L-11 the DFT: definition, properties, and filter design
L-12 the FFT and image processing
L-13 Presentations of Project I
L-14 Presentations of Project I (continued)
5. Linear Programming
L-15 Introduction to Linear Programming
L-16 LP continued and introduction to Regression.
6. Regression
L-17 Regression
7. Cost-Benefit Analysis
L-18 Fourier Series and Cost-Benefit Analysis
8. Microeconomics
L-19 Microeconomics
L-20 Macroeconomics
L-21 Midterm Exam on Chapters 1 to 8
with answers
9. Ordinary Differential Equations
L-22 ODEs in mechanics
L-23 Nonlinear Population Dynamics
L-24 linear systems
10. Frequency Domain Methods
L-25 Frequency domains, signals, and plants
L-26 signals and ODEs, electronic circuits
L-27 Filters and Bode plots
L-28 Presentations of Project II
L-29 Presentations of Project II (continued)
L-30 Control by Feedback
L-31 Root locus, Nyquist analysis and control
11. Partial Differential Equations
L-32 Air quality modeling by the advection equation with diffusion
L-33 Separation of variables applied to the heat equation
L-34 PDEs in Maple
L-35 Traffic Flow modeling
L-36 Periodic Steady State
12. Divided Differences
L-37 Numerical solving of ODEs and PDEs in Maple
13. Galerkin's method
L-38 Illustration of Galerkin's idea in Maple
L-39 Finite Elements
14. Splines
L-40 Illustration of Splines in Maple
L-41 Review for final exam, html version of
Maple worksheet
Review for final exam, chapters 9 and 10, html version of
Maple worksheet
L-42 Individual Presentations of Project III
L-43 Individual Presentations of Project III (continued)
L-44 Individual Presentations of Project III (continued)
The web pages for
the MCS 494 Fall 2003 Course Content
are still available.