Course Syllabus
COMPUTATIONAL METHODS IN CHEMICAL ENGINEERING
Instructor: Kyriacos Zygourakis, Abercrombie B227, kyzy@rice.edu
Office Hours: MW 4 - 5 PM (or by appointment)
Course Contents
- Introduction: Approximations and round-off errors; truncation errors; Taylor series.
- Systems of linear algebraic equations: Introduction; Gauss elimination, LU decomposition; inversion of matrices; error analysis and system condition; band matrices; iterative solution; Gauss-Seidel method.
- Curve fitting: Least squares regression; linear regression; polynomial regression; multiple linear regression; general linear least squares; nonlinear regression. Interpolation; spline interpolation.
- Non-linear equations: Bisection method; false-position method; simple fixed-point iteration; Newton-Raphson method; secant method; multiple roots; systems on nonlinear equations; roots of polynomials.
- Numerical integration: Trapezoidal and Simpson’s rules; Romberg integration; Gauss quadrature.
- Ordinary differential equations: Euler’s methods; Runge-Kutta methods; adaptive Runge-Kutta methods; systems of equations; stiffness; multistep methods; general methods for boundary value problems.
ABET Outcomes
The ABET student outcome that will be evaluated in this course is:
SO 3: An ability to communicate effectively with a range of audiences.
Textbook
S. C. Chapra and R.R. Canale, “Numerical methods for Engineers.” 7th Edition, McGraw-Hill (2015).
Recitation Sessions (Computer Labs)
A 2-hour recitation session will be held every week. Attendance of recitation sessions is mandatory.
Homework Assignments
Six to seven homework problem sets will be assigned during the semester. Problems will involve both theoretical analysis and computer programing. Students should use MATLAB for the solution of homework problems.
Homework Policy
- Late homework will be penalized, unless prior permission has been obtained from the instructor.
- Homework that is more than two days late will not be accepted.
- The submission and grading procedures are described in detail in a separate document posted on Canvas in the folder “Syllabus, Schedule and Policies.”
Test and Quizzes
There will be four (4) short quizzes after the completion of major topics to test the students' understanding of key concepts. The quizzes will not require programming or the use of computers and their dates are listed on the course schedule.
There will also be a comprehensive test on March 1 on all the material covered during the first half of the semester. Again, the test will focus on concepts and will not require programming or the use of computers.
Team Project
Students will work in teams to design a chemical reactor system that meets certain specifications. Each team will:
- prepare a 2-page preliminary written report (due on February 27, 2019),
- make a formal presentation of their design (scheduled during finals week), and
- submit a final written report by the last day of finals (May 1, 2019).
Between March 1 and March 8, students will work with CWOVC coaches who will review their 2-page written report on the project and provide feedback (not grades) to help the teams improve their writing. A revised version of this assignment will be due on March 8 and this is the version that will be graded.
During the last two weeks of classes, the teams will work again with CWOVC coaches to prepare their final project presentations. The presentations will be scheduled during the week of finals.
Professional Communications
The professional communication component of this course will include two lectures presented by team members from Rice's Center for Oral, Written and Visual Communication (CWOVC):
- A lecture on creating effective graphics (tentatively scheduled for January 28)
- A lecture on designing effective presentations (tentatively scheduled for March 18)
Grading Policy
- Homework: 30%
- Quizzes: 24% (8% for each of the best 3 out of 4)
- Comprehensive test: 16%
- Project: 30%
Note that the weights of the course components may change.
Honor Code Policy
“Students may talk to each other, the course assistant(s), and the instructor about any assignment in the course that is not specifically designated as pledged. This assistance is limited to a discussion about the mathematical concepts involved in solving the problem. Students are not allowed to share computer codes and calculation details, or to consult another student's solution (even from a previous CHBE 305 or other numerical methods class). Submitted solutions to assignments may not be copied from any source.”
ADA Statement
Any student with a documented disability needing academic adjustments or accommodations is requested to speak with the instructor during the first two weeks of class. All discussions will remain confidential. Students with disabilities will need to also contact Disability Support Services in the Ley Student Center.
Course Summary:
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