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