| Subject | File Name | Description | |
| Introduction | Historical Perspective on Numerical Problem Solving | Introduction_08.pdf | |
| Introduction to Polymath | |||
| Topic 1 | Sequential Calculations with POLYMATH and Excel, Parametric Studies with Excel | Example-1.pdf | Presentation Handouts |
| Example 1 | Molar Volume and Compressibility Factor from Redlich-Kwong Equation | Prob_4.1.pdf | Example problem in the book of Cutlip and Shacham |
| Example1_A.pol | Polymath solution file | ||
| Example1_B1.xls | Excel solution, compressibility factor | ||
| Example1_B2.xls | Excel solution, molar volume | ||
| Topic 2 | Solution of a Single Nonlinear (Implicit) Algebraic Equation with POLYMATH and MATLAB, Parametric Studies with MATLAB | Example-2.pdf | Presentation Handouts |
| Example 2 | Calculation of the Flow Rate in A Pipeline | Prob_4.2.pdf | Example problem in the book (Polymath solution) |
| Prob_5.2.pdf | Example problem in the book (MATLAB solution) | ||
| Example2_A.pol | Polymath solution file | ||
| Example2_B1.m | MATLAB solution, part I (Export from Polymath) | ||
| Example2_B2.m | Complete solution by MATLAB | ||
| Topic 3 | Multiple Linear Regression with Statistical Analysis | Example-3.pdf | Presentation Handouts |
| Example 3 | Correlation of Heat of Hardening of Portland Cement versus Composition | Example_3.pol | Polymath data file |
| RegrOverview.pdf | Equations, Statistics, Graphs and Examples | ||
| Topic 4 | Polynomial and Nonlinear Regression with Statistical Analysis | Example-4.pdf | Presentation Handouts |
| Example 4 | Correlating Temperature Dependent Physical Properties | Prob_4.4.pdf | Example problem in the book of Cutlip and Shacham |
| CpEthane.pol | Polymath data file (Heat capacity) | ||
| VpEthane.pol | Polymath data file (Vapor pressure) | ||
| WagnerEq.pol | Polymath solution file (Wagner equation) | ||
| Topic 5 | Solution of a System of ODEs with POLYMATH and Excel, Parametric Studies with Excel | Example-5.pdf | Presentation Handouts |
| Example 5 | Adiabatic Operation of a Tubular Reactor for Cracking of Acetone | Prob_4.3.pdf | Example problem in the book of Cutlip and Shacham |
| Example-5.pol | Polymath solution file | ||
| Example-5.xls | Excel solution file | ||
| Topic 6 | Solution of a System of Nonlinear Algebraic Equations (NLE) with POLYMATH and MATLAB, Parametric Studies with MATLAB | Example-6.pdf | Presentation Handouts |
| Example 6 | Complex Chemical Equilibrium | Prob_6.6.pdf | Example problem in the book of Cutlip and Shacham |
| Example6A.pol | Polymath solution file, division by unknowns | ||
| Example6B.pol | Polymath solution file, no division by unknowns | ||
| Example6A.m | MATLAB solution, part I (Export from Polymath) | ||
| Example6B.m | Complete solution by MATLAB | ||
| Topic 7 | Solution of Multiple-Model, Multiple-Algorithm Problems | Example-7.pdf | Presentation Handouts |
| Example 7 | Semi-continuous Fed-Batch and Cyclic- Fed Batch Operation of a Bioreactor | Prob_14.13.pdf | Example problem in the book of Cutlip and Shacham |
| BioReactInit.pol | Polymath solution file, initialization stage | ||
| BioReactProc.pol | Polymath solution file, processing stage | ||
| BioReactHarv.pol | Polymath solution file, processing stage | ||
| FedBatchInit.m | MATLAB solution, part I (Export from Polymath) | ||
| Cyclic_7.m | Complete solution by MATLAB, Cyclic operation | ||
| Optimization_7.m | Complete solution by MATLAB, Optimization | ||
| Topic 8 | Estimating Model Parameters for Dynamic Models | Example-8.pdf | Presentation Handouts |
| Example 8 | Modeling Reproduction Rate of a Microorganism in a Fermenter | Prob_6.9.pdf | Example problem in the book of Cutlip and Shacham |
| Example-8.pol | Polymath model | ||
| Example_8.m | MATLAB solution | ||
| P6_9.txt | Data file (used by Example_8.m) | ||
| Topic 9 | Constrained Minimization with POLYMATH and Excel | Example-9.pdf | Presentation Handouts |
| Example 9 | Complex Chemical Equilibrium by Gibbs Energy Minimization | Prob_4.5.pdf | Example problem in the book of Cutlip and Shacham |
| Example-9A.pol | Polymath solution | ||
| Example-9B.pol | Polymath solution including objective function value | ||
| Example-9C.pol | Polymath model for exporting to Excel | ||
| Example-9.xls | Excel solution by Solver | ||
| Topic 10 | Solution of a System of ODEs with POLYMATH and MATLAB, Boundary Value Iterations with MATLAB | Example-10.pdf | Presentation Handouts |
| Example 10 | Simultaneous Multicomponent Diffusion of Gases | Prob_10.8.pdf | Example problem in the book of Cutlip and Shacham |
| Example-10.pol | Polymath solution | ||
| MultDiffusA.m | MATLAB solution (exported from Polymath) | ||
| MultDiffusB.m | MATLAB solution (boundary values iterations) | ||
| Topic 11 | Method of Lines for Partial Differential Equations | Example-11.pdf | Presentation Handouts |
| Example 11 | Diffusion and Reaction in a Falling Laminar Liquid Film | Prob_10.15.pdf | Example problem in the book of Cutlip and Shacham |
| Example-11A.pol | Polymath solution (question a in Prob_10.15.pdf) | ||
| Example-11AD.pol | Polymath solution (questions a-d in Prob_10.15.pdf) | ||
| Example-11D.pol | Polymath solution (Data summary, for part d) | ||
| Example-11E.pol | Polymath solution (question e in Prob_10.15.pdf) | ||
| Topic 12 | Applications in Environmental Engineering | Example-12.pdf | Presentation Handouts |
| Example 12 | Numerical Simulations with the Oxygen-sag model | EnvModSoft.pdf | Article in Environmental Modeling and Software |
| Example-12.pol | Polymath model, data set 1 | ||
| Example-12.pol | Polymath model, data set 2 | ||
| Topic 13 | Applications in Process Safety | Example-13.pdf | Presentation Handouts |
| Example 13 | HAZOP Analysis of a Process for Oxidation of 2-octanol in a semi-batch reactor | Example-13publ.pdf | Article in Journal of Loss Prevention in Process Ind. |
| Example-13.pol | Polymath Solution | ||
| Example-13.m | MATLAB Solution | ||