| Instructor Information
Offices: CHBE 209 (Phone 822-8875); MATX 1206 (Phone 822-4936)
Office Hours: by appointment (please e-mail)
| Teaching Assistants
Amirhossein Mafi (amafi@chbe etc) and Tenghu Wu (tenghuwu@chbe etc), our graduate TA's, will lead the Wednesday afternoon tutorials, mark your assignments and quizzes, and hold office hours.
TA office hour: every Friday, 4-5 pm, in CHBE 316 (smaller computer room).
Mon Wed Fri, 9 - 10 am, Location: CHBE 102
Tutorials: Wed 2 - 4 pm, Location: CHBE 314 + 316
Manhattan: Throughout the term, I will communicate with you through the course's Manhatten website. You will also receive and submit your assignments through this site. I will send you your individual log-in by email.
S. E. Chapra: Applied Numerical Methods With MATLAB for Scientists and Engineers.
(3rd edn.) ISBN-10: 0073401102; ISBN-13: 978-0073401102, McGraw-Hill (2011).
MATLAB will be required for our course. The software package is available on all CHBE machines in the computer labs (CHBE 314 and 316). You may also download the freely-distributed Octave, which works essentially as MATLAB. Finally, you could also purchase the MATLAB software or ask our CHBE IT help (help@chbe etc) to install a client on your laptop.
Exams and grading formula
Final Grade = final exam (50%) + midterm (30%) + tutorial & quizzes (10%) + homework (10%)
- Midterm: Feb 14, 9-10 am in CHBE 102.
- Final: date and time to be announced, to be written in Computer Rooms.
- Missing a quiz or the midterm results in a score of 0, except with
prior consent of the instructor or with a doctor's note. In these latter cases, you will receive no score from the missed quiz or midterm, and its weight will be shifted to the other quizzes or the final exam. If you have a legitimate reason for missing the midterm, for example, your final exam will count for 80% of the grade.
- Weekly assignments will be posted on the course website on Manhattan. Due dates will be announced later. Late homework will receive no point.
|Introduction to MATLAB and programming
||Chapters 2, 3
|Introduction to computation
|Chapters 1, 4
Roundoff and truncation errors
|Root finding and optimization
|Chapters 5 - 7
1D optimization: golden-section search
|Solution of linear systems
||Chapters 8 - 12
|Direct vs. iterative methods
Gauss elimination, with pivoting
Tridiagonal system - 1D heat equation
Newton-Raphson for nonlinear systems
|Chapters 14, 15
Multiple linear regression
Introduction to nonlinear regression
|Chapters 17, 18
|Numerical Integration & differentiation
|Chapters 19 - 21
Numerical differentiation: high-order formulas
Differentiation with Richardson extrapolation
|Ordinary differential equations
||Chapters 22, 24
|Initial value problems
Systems of ODE's
Boundary value problems
The shooting method
Finite difference method