# Math 405/607E (Numerical Methods for Differential Equations), Fall 2011

• Class: Mon Wed Fri 13:00-13:50 in Math 203
• Instructor
• Lisa Gordeliy
• gordeliy(at)math(dot)ubc(dot)ca
• Office hours: in LSK 100D, Mon 11am-12noon and 3-5pm, Wed 11am-12noon, or by appointment via email.

## Final Exam

The final exam is scheduled for December 8, 3.30 pm - 6 pm, in MATH 104. It is up to your decision whether you take the exam or not. If you do not take it, your grade for the course will be based on the term marks for the projects and the assignments. Read the important information below.

## Lectures

• Lecture 36: finite element method (FEM)

## Assignments

• Assignment 3 (2), due Oct 26 in class. For problem 3, you can modify the following MATLAB codes: composite trapezoidal quadrature and testtrap.m - application of the composite trapezoidal quadrature with N subintervals to integrate f(x) = sin(5.*x) on [0,1]. Save these two codes to the same folder and run the code testtrap.m. You will see that by changing N, the quadratic convergence rate is obtained.
• SOLUTIONS to problems 3 - 5

## Projects

• Project II, due Dec 2 in class. UPDATE: The analytic solution for the logistic equation is y(x) = 100/(1+19*exp(-200*x)).
• Project III for graduate students: due Dec 2 in class. A research project, discuss it with your advisor. This should be a problem that you want to solve using the numerical tools we learn in class, you may wish to use: interpolation, integration, finite differences, ODE numerical solutions, or PDE numerical solutions (to be covered in the second half of November in class).

## Textbooks

These two textbooks are reserved for Math405/607E students at I.K. BARBER LEARNING CENTRE circulation reserve collection (two-day loan). You can also borrow other copies / editions of these textbooks from the UBC library for a regular loan.