Instructor Information
Instructor: James
J. Feng
Email: jfeng(at)chbe(dot)ubc(dot)ca
Offices: CHBE 209 (Phone 8228875); MATX 1206 (Phone 8224936)
Office Hours: by appointment (please email)

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, 45 pm, in CHBE 316 (smaller computer room).

Lectures
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 login by email. 
Textbook
S. E. Chapra: Applied Numerical Methods With MATLAB for Scientists and Engineers. (3rd edn.) ISBN10: 0073401102; ISBN13: 9780073401102, McGrawHill (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 freelydistributed 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, 910 am in CHBE 102.
 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 
1 
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

4

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

Solution of linear systems

Chapters 8  12

7

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


37


