Fall 2016: CHE 348 NUMERCL METHS IN CHE/PROB SOLV

(Unique Numbers: 14685, 14690 and 14695)

CHE 348 NUMERCL METHS IN CHE/PROB SOLV

(Unique Numbers: 14685, 14690, 14695)

__Course Description:__

Numerical solutions to algebraic and differential equations; numerical methods to integration, interpolation, and regression analysis, with application to chemical engineering. Two lectures (75 minutes each) and one recitation hour per week per semester.

__Prerequisites:__

ChE 210 (Introduction to Computing), ChE 317 (Introduction to Chemical Engineering Analysis), and M 427K (Differential Equations) with a grade of at least C in each.

This class assumes that you have a good grasp of the following subjects:

- Algebra and mathematical (trigonometric/exponential/logarithmic) functions;

- Integration and differentiation;

- Matrices and (ordinary/partial) differential equations and their solutions;

- Physical and chemical behaviors (e.g., ideal/real gas behavior, mass and energy conservation)

- MATLAB programming.

__Instructor:__Professor Jim Chelikowsky

Office: POB (formerly ACE) 4.324

Office Hours: MWF 10-11 (or by appointment)

Phone: (512) 900-9808

Email: jrc@utexas.edu, please put “348” in the subject header.

__Teaching Assistant (TA)__: Dingxin Fan (

__dingxin@utexas.edu__) and Mengjia Tang (

__m.tang@utexas.edu__) (Office hrs. and location, TBA)

__Class Meeting Times:__

Lectures TuTh 2-3:30 CPE 2.216

Recitation Sections:

#14685 W 5-6 CPE 1.418

#14690 M 6-7 CPE 1.418

#14695 M 7-8 CPE 1.418

__Texts:__

*Applied Numerical Methods with MATLAB*, S.C. Chapra, McGraw Hill, 3rd edition (strongly recommended).

__Evaluation__:

2 Mid-Term Exams: 40 % (20 % each)

Final Exam: 40 %

Homework: 15% (One will be dropped)

Participation: 5% (Attendance quizzes, three will be dropped)

Exam schedule:

*These dates are subject to change.*

Exam 1 Thursday 6 October

Exam 2 Thursday 17 November

Final exam: To be announced.

Midterm exams will be during the normal class periods.

Exam policy: There is normally no make-up offered for any exams. If you have a legitimate excuse for missing a test, you must have permission from the instructor beforehand. Legitimately missed exam scores will be taken from the final exam. Request for a re-grade must be made in writing within two weeks of the exam.

Calculators can be used only for numerical calculations! You must show your work. One sheet of notes will be allowed for the midterm exams and two sheets will be allowed for the final.

Homework policy:

One problem set will be distributed each week, more or less. The lowest homework score will be dropped. Late homework will not be accepted. __Academic Adjustments:__The University of Texas at Austin provides, upon request, appropriate academic adjustments for qualified students with disabilities. For more information, contact the Office of the Dean of Students at 471-6259, 471-4241 TDD or the College of Engineering Director of Students with Disabilities at 471-4382

__Course Description:__

The purpose of this class is to teach students elementary numerical methods for solving a variety of mathematical problems that occur in many areas of science and engineering, with more emphasis on chemical engineering-related subjects. The methods and skills taught in this class will be valuable for future ChE courses, including ChE 322, ChE 354, ChE 372 and ChE 360.

The objectives are for each student:

- To develop the confidence necessary to successfully solve mathematical problems with a computer;

- To be able to formulate and write structured computer code;

- To understand the formulation behind basic numerical methods for matrix manipulation, finding roots, rudimentary optimization and numerical integration of ordinary and partial differential equations; and

- To be able to solve linear and non-linear algebraic equations, to determine minima and maxima of functions, and to integrate coupled sets of most ordinary and partial differential equations.