POLYMATH examples

Examples Polynomial regression is applied in problem Pi.03.02. Several examples of POLYMATH multilinear regression are in sections P3.06, P3.08 and P3.10. A non-linear regression is worked out in PI.02.07. 

Living Example Problems POLYMATH software that allows students to explore ttie... 

Instructions on how to use the different software packages (POLYMATH, MATLAB, and ASPEN PLUS) to solve examples. 

The parameters cmt also be easily varied in the example problems by loading the POLYMATH or MATLAB programs ftom the CD onto a computer to explore and answer What if,.. questions. 

A copy of POLYMATH is provided on toe CD-ROM for the students to use to solve the homework problems. The example problems that use an ODE solver (e.g., POLYMATH) are referred to as "living example problems because the students can load the POLYMATH program directly onto their own computer in order to study the problem, Stu-... 

Program examples POLYMATH, MaiLab can be loaded from the CD-ROM (see the Introduction)... 

A large number of ordinary differential equation solver software packages (i.e., ODE solvers) which are extremely user friendly have become available. We shall use POLYMATH S to solve the examples in the printed text. However, the CD-ROM contains an example that uses ASPEN, as well as all the MATLAB and POLYMATH solution programs to the example programs. With POLYMATH one simply enters Equations (E4-7.3) and (E4-7.4) and the corresponding parameter value into the computer Table E4-7.1) with the initial (rather, boundary) conditions and they are solved and displayed as shown in Figure E4-7.1,... 

Table E4-8.1 shows the POLYMATH input used to solve the above equations. The MATLAB program is gwen as a living example problem on the CD-ROM.

What if. .. play around with the Living Example Polymath Program on the CD ROM - what are the effects of changing the values of lq Iq, kj, and k2 Can you make the oscillations damped or unstable ... 

We see that for Fq =70°F the reactor has dropped below the extinetion temperature and can no longer operate at the upper steady state. In Problem P9-16, we will see it is not always necessary for the temperature to drop below the extinetion temperature in order to fall to the lower steady state. The equations deseribing the dynamic drop from the upper steady state to the lower steady state are identieal to those given in Example 9-4 only the initial conditions and entering temperature are different. Consequently, the same POLYMATH and MATLAB programs ean be used with these modifications. (See CD-ROM)... 

P9-2a Review the example problems in this chapter, choose one, and use a software package such as POLYMATH or MATLAB to carry out a parameter sensitivity analysis. 

Example 13-7 can be solved with an ODE solver such as POLYMATH by... 

The most recent version of POLYMATH has both a normal and a stiff ODE solver along with a library to store home problems worked using POLYMATH. The example problems in the text that use POLYMATH are in the POLYMATH library in the CD-ROM. 

The companion CD-ROM provides additional learning resources such as sumniai notes, interactive computing modules, web modules, POLYMATH software to explore Tiviag example problems and ask what-if questions, and many more enrichment opportunities for both students and teachers. 

Program examples Polymath. MATLAB can be loaded from (he CD-ROM (see (he Introdticiion). 

When using Polymath or another ODE solver, one does not have to actually combine the mole balances, rate laws, and stoichiometry as was done in the combine step in previous examples in this chapter. The ODE solver will do that for you. Thanks. ODE solver The Polymath Program and output are shown in Table E4-7.1 and Figure E4-7.1,... 

From the Polymath output, wc obtain k = 0.125 dm /mot/mm, which yields k = 0.25 dmVmol/min. We shall discuss regression in Example 5-3. 

The concentrations exiting the last CSTR are Ci and C, . Equations (E7-7.I) ihiDugh (87-7.15) along with the parameter values are given on %e CD-ROM summary notes and the Polymath living example problem. The Polymath program can be loaded directly from (he CD-ROM so that the reader can vary the model parameters. You can print or view the complete Polymath program and read the complete paper [Alcohol 35 (I). p.iO, 2(X)5] in Summary Notts on the CD-ROM. 

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