University of California, Davis
Department of Chemical Engineering and
Materials Science
ECH 140: Mathematical Methods in Biochemical and Chemical Engineering
(CRN# 19355)
Fall Quarter 2006
MW(4:10-6:00 PM) Room: Hutchinson 115
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| Instructors: |
B. G. Higgins |
| Office : |
Bainer 3012 |
| Office Hours: |
T&R 12:15-1:15 pm |
| Phone: |
752-8780 |
| e-mail: |
bghiggins@ucdavis.edu |
Course Overview
The following Concepts & Skills will be emphasized in ECH 140
CONCEPTS
- Homogeneous versus inhomogeneous differential equations
- Homogeneous solutions and particular solutions of ODEs
- Derivation of PDEs from conservation principles
- General solution of linear PDEs (heat equation, Laplace equation)
- Fourier series and Sturm Lioville theory
- Orthogonal functions
- Laplace Transform, similarity solutions
- Stress tensor;principles of hydrostatics
SKILLS
- Solution of first order and second order ODEs.
- Separation of variables 1-D transient heat conduction equation (various coordinate systems).
- Separation of Variables Laplace equation (various coordinate systems).
- Laplace Transforms- application to ODEs.
- Vectors and Tensors- use of indicial notation
- Analysis of hydrostatic problems
The text for the course is : Elementary Applied Partial differential Equations (fourth edition), by Richard Haberman
Course Grade
The overall letter grade for the course will be determined as follows:
One midterm 35% , final exam 50%, and homework 15%. Grades will not be assigned on the basis of a curve. The approximate, absolute scale is given by
| A: 70 - 100% | | B: 55 - 69% |
| C: 40 - 54% | | D: 25 - 39% |
| F: 0 - 24% |
The final examination will take place on
Thursday, December 14, from 1:30-3:30 pm
Hutchinson 115.
Plan now to take this examination at the scheduled time.
Please note that this time and place has been designated by the Registrar. For further details on
exam policy, please link to Registar: Final Exams.
The time for the Mid-Term is:
Mid-Term #1: Wednesday November 8: 410-6:00 pm
Homework & Exams Policies:
All homework must be turned in before the beginning of the class. Problems should be in order and stapled together.
Homework that is not stapled will not be graded. Late homework will not be accepted unless prior arrangements have been made.
Some homework assignments are longer than others, and it is your responsibility to allot the appropriate amount of time for each assignment.
Answers to all homework problems and the grading key for all exams will be available from this site as PDF files.
When doing the homework, you should remember the words of Confucius:
"I hear, and I forget. I see, and I remember. I do, and I understand."
In class, you hear and see. When you study the text, you see. When you do the homework by yourself, you do. Don't waste 2500 years of wisdom.
- Rules: If an emergency occurs and you need special attention, contact Professor Higgins as soon as possible.
All exams will be closed book and notes, and questions will be neither asked nor answered.
All personal belongings must be stored under your chair during exams.
Monitors may confiscate any and all material to which you have access during exams.
No make-up exams will be given, and students who miss an exam for justifiable reasons will be assigned an
appropriate grade on the basis of their scores in the other exams.
- Re-grading: If, after having read the grading key, you
believe that your exam should be re-graded, you should prepare a written statement
indicating why the exam should be re-graded, staple your written statement to your exam,
and deliver your statement and exam to Professor Higgins. No exams will be accepted
for re-grading one week after the exams have been returned.
- Integrity: Perhaps the most productive learning atmosphere occurs when you ask a question1,
thus you are encouraged to ask questions in class and while studying with other students.
Questions and answers help to clarify concepts, and you are encouraged to share concepts and
ideas concerning homework problems. However, the work that you submit for a grade in this
course must be your own, i.e., you must be the master of the material to which you have
affixed your signature. Evidence of any violations of the UCD Code of Academic Conduct
will be sent directly to Student Judicial Affairs. If you are unsure of what is meant
by plagiarism, cheating, academic dishonesty, etc., see the UCD Code of Academic Conduct.
A brief explanation is given in the Schedule & Directory under the title of Integrity
and details are available here
Classroom Behavior
The classroom will be a place of orderly discussion of material balances.
If you wish to discuss personal matters with your neighbor, you must do so elsewhere.
Special Needs
If you have a disability that impacts on your learning, I encourage you to talk with me about it on a confidential basis so that we might collectively devise a strategy to overcome whatever barriers might exist.
Class Assistants
The TA assigned for this course is Hugo Avila-Paredes. He can be reached by email:
havila@ucdavis.edu
His office hours are Monday 1-2 pm and Wednesday: 10-11 am. Office hours will be held in the Graduate Section of the Department Computer lab (2nd Floor Bainer),behind the partitions.
References
- R.P. Feynman, "There is no learning without having to pose a question", The Pleasure of Finding Things Out, Perseus Publishing, Cambridge, MA