Instructor Information
Instructor: James
J. Feng
Email: jfeng(at)chbe(dot)ubc(dot)ca
Offices: CHBE 209 (Phone 6048228875); MATX 1206 (Phone 6048224936)
Office Hours: by appointment (please email)

Teaching Assistants
Our graduate TA's, Michael Chernos and Masoud Daneshi, will lead the Wednesday afternoon tutorials, mark your assignments and quizzes, and hold office hours.
TA Office Hours: Monday 12 pm every week, but the venue alternates weekly:
Michael, at ICICS 221X (2366 Main Mall): Jan 18, Feb 1, Feb 22, Mar 7, 21, Apr 4.
Masoud, at PPC 213 (2385 East Mall): Jan 25, Feb 8, 29, Mar 14, 28.

Lectures
Tue Thu, 3:30  5 pm, Location: CHEM B250
Tutorials: biweekly on Wed 2  4 pm (Jan 13, 27, Feb 10, 24, Mar 9, 23, Apr 6), Location: CHBE 314 + 318.

Textbook
S. E. Chapra: Applied Numerical Methods With MATLAB for Scientists and Engineers. (3rd edn.) ISBN10: 0073401102; ISBN13: 9780073401102, McGrawHill (2011).
UBC Bookstore has new and used books for purchase or rental. Besides, an online version of the textbook is also available.
MATLAB will be required for our course. The software package is available on all CHBE machines in the computer labs (CHBE 314). Besides, you can install the 2X client on your own laptop computer according to the instructions posted on our CHBE 230 home page on connect.

Exams and grading formula
Final Grade = final exam (50%) + midterm (30%) + tutorial & quizzes (10%) + homework (10%)
 Midterm: tentatively scheduled for Feb 11, 3:304:45 pm in CHEM B250.
 Final: date and time to be announced, to be written in Computer Rooms.
Policies:
 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.

Course Outline 
Topics 
Textbook Chapters

Approx. Hours

Content Description

Introduction to MATLAB and programming

Chapters 2, 3 
(self study) 
See textbook

Introduction to computation 
Chapters 1, 4 
3 
Engineering examples Numerical methods Pseudocodes Roundoff and truncation errors

Root finding and optimization

Chapters 5  7

5

Incremental search
Bisection
Interpolation NewtonRaphson
Secant Method
1D optimization: goldensection search

Solution of linear systems

Chapters 8  12

6

Direct vs. iterative methods
Gauss elimination, with pivoting
Tridiagonal system  1D heat equation
LU decomposition
Matrix inverse GaussSeidel iteration NewtonRaphson for nonlinear systems

Curve fitting

Chapters 14, 15

4

Linear regression Polynomial regression Multiple linear regression Introduction to nonlinear regression

Interpolation

Chapters 17, 18

3

Linear interpolation Lagrange polynomial Cubic spline

Numerical Integration & differentiation

Chapters 19  21

6

Trapezoidal rule Simpson's rules Multiple Integrals Richardson extrapolation Romberg Integration Numerical differentiation: highorder formulas Differentiation with Richardson extrapolation

Ordinary differential equations

Chapters 22, 24

9

Initial value problems Euler's method RungeKutta methods Systems of ODE's Boundary value problems The shooting method Finite difference method

Total hours


36


