Department of Mathematical Sciences
Rutgers University, Camden, NJ
- Textbooks:
- An
Introduction to Mathematical Modeling, E. A. Bender, Dover
Publications, 2000.
- Concepts of Mathematical Modeling, Walter J. Meyer, Dover Publications, 2004.
- A
Survey of Industrial Mathematics, Charles R. MacCluer, Dover
Publications, 2010.
- Class meetings:
- Wednesdays 6:00PM - 8:50PM
Room BSB-133.
- Instructor:
- Dr. Steve Alessandrini, sma@rutgers.edu
- Office hours:
- Before class.
- Prerequisites:
- Strong background in undergraduate mathematics.
- Knowledge of C++.
- This course is suitable for graduate students and advanced undergraduates.
- Course description:
- This course will introduce concepts of mathematical modeling through a hand-ons problem solving approach. The students will be divided into groups for two projects. The first project will be a competition where each group is solving the same problem. The groups will develop a design and submit a paper describing the design along with C++ code of their design. The second project will be a class project where the entire class will solve a problem working in groups but in this project, each group is working on a different part of the bigger problem. The groups must coordinate their efforts and integrate the solutions to solve the main problem.
- NOTE: This will depend on course
enrollment.
- Handouts:
(PDF Format)
- C++ Style Guide
- C++ Reference
- C++ Tutorial
- MATLAB Tutorial
- Tentative Topics:
- Introduction
- Problem-Solving Techniques
- An automotive cooling system.
- A Short Course on Automotive Cooling Systems
- 1996
Jeep Cherokee
- 1996 Jeep Cherokee Cooling System Flow Diagram
- 1996 Jeep Cherokee Temperature Gauge
- JeepCoolingSystem.m
- Correctly working cooling system.
- JeepTempsIdle.dat - Measured temperatures at idle.
- ThermOpen.dat - Thermostat opening curve.
- DetermineQIN.m
- Least-Squares fit
of model to measured data.
- JeepCoolingSystemProblem.m
- Cooling
system with thermostat problem
- JeepCoolingSystemWithHeater.m - Cooling system with thermostat problem with heater.
- Analysis of AMTRAK Northeast Regional Train Derailment in Philadelphia on May 12, 2015
- Port Richmand, PA
- Philly
News: The physics of a tight railroad curve
- Toppling Limit
- Superelevation
- J. C. Moody, "Critical Speed Analysis of Railcars and Wheelsets on Curved and Straight Track" (2014). Honors Theses. 107.
- tracks.dat
- PlotTracks.m
- AnalyzeTracks.m
- Hurricane Modeling
- Saffir-Simpson Scale
- Rankine Vortex
- G. J. Holland, An Analytic Model of the Wind and Pressure Profiles in Hurricanes, Monthly Weather Review, 108, pp. 1212–1218, 1980.
- G. J. Holland, J.I. Belanger, and A. Fritz, A Revised Model for Radial Profiles of Hurricane Winds, Monthly Weather Review, 138, pp. 4393–4401, 2010.
- C. Jeong, V. Panchang, and Z. Demirbilek, Parametric Adjustments to the Rankine Vortex Wind Model for Gulf of Mexico Hurricanes, ASME Journal of Offshore Mechanics and Arctic Engineering, 134(4), 041102-1--041102-17, 2012.
- CompareHurricaneModels.m
- ComputeRankineVortexModelSpeed.m
- ComputeHolland1980ModelSpeed.m
- ComputeSLOSHModelSpeed.m
- Holland1980Figure2.m
- Laser Heating of Metal
- K.-C. Lee, K.-H. Kim, Ki-hong and J. J. Yoh, "Modeling of high energy laser ignition of energetic materials", Journal of Applied Physics, 103, 083536-1--083536-6, (2008).
- C. D. Boley and A. M. Rubenchik, "Modeling of high-energy pulsed laser interactions with coupons," LLNL Technical Report No. UCRL-ID-151857, 2003.
- F. F. Mustafa, Heating and Melting Model Induced by Laser Beam in Solid Material, Al-Khwarizmi Engineering Journal, Vol. 4, No. 3, pp. 98-107, (2008).
