## Teaching 2008 Fall Math 523

### Math 523 (Numerical Analysis I)

- Course Syllabus
- Session 001: MWF 02:30pm–03:25pm, 216
**Thomas** - Office Hours: 316
*McAllister*- M 4:00pm–5:00pm
- F 4:30pm–5:30pm

**Homework:**

**Homework Set 1:**Hw1, Solution (Problem 1–4 due on Sep/05/2008; Problem 5–7 due on Sep/12/2008; Problem 8–12 due on Sep/22/2008.).- Note:
**For problem 8, there might be some algorithms which do not converge. If they do not converge, just say so.**

- Note:
**Homework Set 2:**Hw2**,**Solution (Problem 1–3 due on Oct/03/2008; Problem 4–5 due on Oct/10/2008; Problem 6–10 due on Oct/17/2008).- Note: Problem 6–10 will be counted as your midterm (20% of your final score). No discussion on these problems.

**Homework Set 3:**Hw3**,**Solution (Problem 1–4 due on Oct/31/2008).**Homework Set 4**: Hw4, Solution (Problem 1–4 due on Nov/17/2008).- Note: For problem 4, use initial guess (0,2) or (0,0).
- Here is a zip file which contains Matlab codes for this homework. (The extension is named as .pdf for security reasons. You need to change it back to .zip!)

**Homework Set 5**: Hw5, Solution (Problem 1–4 due on Dec/05/2008; Problem 5–7 due on Dec/12/2008).

**Final Project:**

**Final Project:**

- Project description

- A sample project proposal
- Project topic due time: Nov/21/2008
- Project report due time:
**Dec/19/2008** - Topics:
- Solving Cahn-Hillard equation with composition dependent mobility
- Method of Moments (MoM) and Finite Difference Time Domain (FDTD) methods are two methods are used in computational electromagnetics
- Study of 2-D laminar, viscous, supersonic flow over a flat plate with zero angle of incidence using finite difference space discretization scheme and Runge-Kutta time marching schemes
- Magma chamber volume change estimates using noisy dilatometer measurements
- Numerical study of some minimizer problems using quasi-Newton schemes and line search methods
- Numerical solution of both the laminar and turbulent boundary layers (steady state case) over the flat plate using the finite differencing
- Multidimensional quadrature and its application in Brownian Coagulation
- Preconditioning conjugate gradient methods with application for elliptic PDEs
- Numerical optimization algorithm for RNA secondary structure prediction via free energy minimization
- Study of unsteady convection diffusion equation
- Numerical Solution of Parabolic Equation using LU decomposition