Applied Mathematics and Modeling for Chemical Engineers

October 13, 2019

Applied Mathematics And

Text Book
Richard G. Rice and Duong D. Do
Applied Mathematics and Modeling for Chemical Engineers
John Wiley & Sons, New York, 1995

Other Sources
You are also urged to use whatever differential equation books you already have in your library as reference. Other books that will be useful are the CRC Standard Mathematical Tables and Transport Phenomena by R.B. Bird, W.E. Stewart and E.N. Lightfoot (John Wiley & Sons, New York, 2002).

This course stresses the application of mathematics to problems drawn from chemical engineering fundamentals such as material and energy balances, transport phenomena and kinetics. Formulation and solution of ordinary and partial differential equations arising in chemical engineering or related processes or operations are discussed. Mathematical approaches are restricted to analytical solutions or techniques for producing problems amenable to analytical solutions.

This is a core course for all graduate students in the Chemical Engineering department. The purpose of the course is to develop the mathematical and modeling skills that will be needed in research projects and graduate courses subsequent to this course. A student completing this course should be able to:

  • Describe chemical engineering processes in mathematical form by employing the appropriate microscopic and macroscopic balances
  • Identify if an analytical solution to the differential equations is possible
  • Derive and interpret physically the solution to differential equations amenable to analytical solution

The course content is divided about equally into the following main topics:

  • Mathematical description and treatment of physical problems pertinent to chemical engineering
  • Approach and philosophy of model development

Course Grade
The course grade will be based on completion of homework (30%) and two exams (70%).

Homework is an essential element in learning the type of material being taught in this course. Homework will be assigned about once each week. Solutions will be posted on BlackBoard in advance of the due date. BlackBoard (Bb) is accessible from the During the course of the semester a few problems may be assigned that have not been used in previous classes. Solutions to these problems may not be provided in advance.

Learning is greatly reduced if homework problems are copied from the posted solutions. It is strongly suggested that students use the posted solutions when they are unable to make progress on their own. Copied homework solutions are usually evident to the professor. Most students who copy homework perform poorly when solutions are not posted in advance (e.g., on exams). Although every effort has been made to provide correct solutions, occasional mistakes do slip in. Posted solutions are not guaranteed to be correct in all respects. As errors are discovered, corrections will be posted. Homework will not usually be graded in detail, but will be checked for completeness. Unless indicated otherwise, each problem is worth 10 points.

Learning through working homework assignments will generally be greater when the assignments are done in a timely fashion. Consequently, the homework policy is designed to encourage you to do assignments promptly. Homework is due at the beginning of class on the assigned due date. For more information, see the policy for work missed due to absence.


A minimum homework grade of 80% will be required to pass this course.

Course Ethics
Professional and ethical behavior is expected of all students. Homework may be done cooperatively as long as each participant contributes. Blatant copying is unacceptable. Exams are strictly individual activities. Collaboration between students on exams is strictly forbidden and considered cheating. Cheating will not be tolerated in ChEN 507 and all incidents will be turned over to the Graduate Dean. Failure in the course or suspension or dismissal from CSM are possibile. DO NOT CHEAT!

Office Hours
Regular office hours will be posted on BlackBoard. When changes to posted hours are necessary, it will be announced in class, by email and/or on BlackBoard. Times other than regular office hours can be arranged by appointment. If there is no answer to your phone call, please leave a message and a phone number and time when you can be reached.

Class Schedule
ChEN 507 will meet twice a week (Monday and Wednesday) for 1 hour and 50 minutes (from 3 - 4:50 pm). Because of the extended time in each class period, we will meet the time required for a 3-hour course in 21 of the 30 class days. Consequently, class will not meet on several days during the semester. Dates when class will not meet will be announced at least 1 week in advance and posted on BlackBoard.

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