## Math 270C, Lecture 1, Winter 2005

## Mathematical Aspects of Scientific Computing: Computational Linear Algebra

**Lecture Meeting Time:** MWF 1.00PM - 1:50PM.

** Lecture Location:** MS 5217.

**Instructor:** Luminita A. Vese

**Office:** MS 7620D

**Office hours:** M 3-4pm, W 3-4, F 4-5pm.

**E-mail:** lvese@math.ucla.edu

**Recommended Textbooks:**

"*Matrix Computations*", G. Golub and C. VanLoan (placed on reserve at
SEL Library), Chapter 10.

"*Iterative Methods for Solving Linear Systems*", A. Greenbaum.

"*Iterative Solution of Large Sparse Systems of Equations*", W. Hackbusch.

"*Numerical Linear Algebra*", L.N. Trefethen, D. Bau.

"*Numerical Linear Algebra (and applications)*", B.N. Datta.

"*Introduction to Numerical Analysis*", by J. Stoer and R. Bulirsch,
Chapter 8.

**Requisites:** courses 115A, 151A, 151B, Program in Computing 10A.

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__**SYLLABUS**
WILL BE UPDATED

**Useful Links:**
Virtual Office Hours
PIC Lab: Boelter Hall 2817 and
Mathematical Sciences 3970

http://www.pic.ucla.edu/piclab/
MATLAB Documentation (thanks to Prof. C. Anderson, UCLA)
Class Web Page: http://www.math.ucla.edu/~lvese/270c.1.05w/
Numerical Recipes
Getting started with MATLAB

**Homework Policy:**
Weekly assignments involving both theoretical and computational exercises
will be given. One or two additional projects may also be given. Assignments will be collected every Monday in class.

**Examinations:** There are no written exams (no midterm exam and no final exam).

**Grading Policy:** Grading will be based on class participation (10%) and
on weekly assignments and projects (90%).

**Weekly Homework Assignments:**

** HW #1: Due on Wednesday, January 19, 2005
**

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__**HW #1**

** HW #2: Due on Wednesday, January 26, 2005
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__**HW #2**

** HW #3: Due on Wednesday, February 2, 2005
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__**HW #3**

** HW #4: Due on Wednesday, February 9, 2005
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__**HW #4**

** HW #5: Due on Friday, February 18, 2005
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__**HW #5**

** HW #6: Due on Friday, March 4, 2005
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__**HW #6**

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__**Symmetric, Tridiagonal, Positive Definite System Solver**

Thomas algorithm can also be used for solving a tridiagonal linear system.

** HW #7: Due on Monday, March 14, or on Wednesday March 16,2005
**

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__**HW #7**

(last assignment)