645:560 Industrial Mathematics - Spring 2020
Department of Mathematical Sciences
Rutgers University, Camden, NJ

• Textbook:
• Class meetings:
• Wednesdays 6:00PM - 8:50PM  Room BSB-108.
• Instructor:
• Office hours:
• Before class.
• Prerequisites:
• Strong background in undergraduate mathematics.
• Knowledge of C++.
• Course description:
• This course will cover various problems that can be found in industry.  We will take a problem based learning approach.  Each problem studied will motivate the need for learning the mathematical techniques necessary to solve the problem.  The problems will be solved using MATLAB and C++  programs.  Part of the course will involve writing a report on a project and giving a presentation of the results.  It is suggested that students learn to use LaTeX.
• Handouts: (PDF Format)

• Introductory Material
• Introduction
• What is industrial mathematics?
• The SIAM Report 1996
• The SIAM Report 2012
• The Smith Institute
• Modeling and Simulation Overview
• TrafficFlow.m
• Problems (a tentative list):
• A Financial Application
• ComputeMuAndSigma.m
• snp500-10.dat
• FundModel.m
• GMABSim.m
• Reading:  MacCluer, Chapters 1 and 2.
• IterativeCosinor.m
• CRTest1.dat
• CRTest2.dat
• CRTest3.dat
• Least-Squares Polynomial Fitting
• PolyFit.m
• hgain.dat
• u1.dat
• CompareUOfZs.m
• Atmospheric Refraction Correction
• ComputeModelRHS.m
• RefractionExample.m
• GenerateData.m
• Reading: MacCluer, Chapters 9 and 12.
• Fourier Synthesis of Ocean Scenes (No notes: class discussion only)
• Reference: G. A Mastin, P. A Watterberg, J. F Mareda, "Fourier synthesis of ocean scenes",  IEEE Computer Graphics and Applications, March 1987, pp. 16-23.  Available on-line through the Rutgers library.
• ComputePMFilter.m
• GenerateOceanScene.m
• GenerateOceanAnimation.m