MCS 472: Industrial Math and Computation

Catalog description: Preparation for real projects in industry, realized by technical reports and oral presentations. Topics include quality control, operations research, control engineering, cost-benefit analysis, differential equations, and modeling with scientific software.

Lecture notes are available

• as one single pdf file; or
• in html format.

Lecture slides and supplemental materials will be posted below, in a week-by-week organization.

1. Statistical Reasoning

• L-1 Mon 12 Jan 2026: welcome to MCS 472
          Julia program: arrival.jl.
          Jupyter notebook: fourproblems.ipynb.
          Prerecorded lecture: youtube link.
• L-2 Wed 14 Jan 2026: Taguchi Quality Control
          Jupyter notebook: qualityQloss.ipynb.
          Prerecorded lecture: youtube link.
• L-3 Fri 16 Jan 2026: the Monte Carlo method
          Julia programs: newsboy.jl, meantbfail.jl, and estimatewait.jl.
          Jupyter notebook: montecarlo.ipynb.
          Prerecorded lecture: youtube link.

2. Technical Presentations; Data Analysis

• L-4 Wed 21 Jan 2026: Technical Writing and Presenting
          Prerecorded lecture: youtube link.
• L-5 Fri 23 Jan 2026: Analyzing Data
          Jupyter notebook: analyzingdata.ipynb.
          data file: tempChicago100years.txt.
          and Julia program.
          Prerecorded lecture: youtube link.

3. Data Acquisition and Manipulation

• L-6 Mon 26 Jan 2026: z-transforms and linear recursions
          Jupyter notebook: use_rsolve.ipynb.
          Prerecorded lecture: youtube link.
• L-7 Wed 28 Jan 2026: filters and stability
          Jupyter notebook: sinesamples.ipynb.
          Prerecorded lecture: youtube link.
• L-8 Fri 30 Jan 2026: Bode plots and feedback
          Jupyter notebook: bodeplots.ipynb.
          Prerecorded lecture: youtube link.

4. The Discrete Fourier Transform

• L-9 Mon 2 Feb 2026: the discrete Fourier transform
          Jupyter notebook: rootconvolutions.ipynb.
          Prerecorded lecture: youtube link.
• L-10 Wed 4 Feb 2026: the fast Fourier transform
          Jupyter notebook: showfft.ipynb.
          Prerecorded lecture: youtube link.
• L-11 Fri 6 Feb 2026: applications of the FFT
          Jupyter notebooks: applyfft.ipynb and applyfft2images.ipynb.
          An image: buildingsky.png
          Prerecorded lecture: youtube link.

5. Presentations of the First Project

• L-12 Mon 9 Feb 2026: presentations of the first project
• L-13 Wed 11 Feb 2026: presentations of the first project
• L-14 Fri 13 Feb 2026: presentations of the first project