Math 104A, Introduction to Numerical Analysis
Fall 2007
Tuesday & Thursday, 9:30-10:45am, 387 101


Instructor: Sookyung Joo
Office :   South Hall, Room 6502
Telephone: 805-893-3878
Email : sjoo@math.ucsb.edu
Office Hours :Tuesday and Thursday 1:30 - 3:00 pm ,or by appointment
course homepage : http://www.math.ucsb.edu/~sjoo/Courses/ma104a.html

Teaching Assistant:
Brittany Erickson .
Office: South Hall, 6432-N.
Office Hours: Monday 2-3pm in SH 6432-N, Wednesday 5-7pm in mathlab(SH 1607)
Textbook: Numerical Analysis, by Richard L. Burden and J. Douglas Faires, 8th edition.

Course description: This is the first part of a three-quarters introductory course on Numerical Analysis. This quarter we will study numerical methods for the solution of nonlinear algebraic equations, interpolation, extrapolation, numerical differentiation and integration, and numerical solution of ordinary differential equations. Although the emphasis will be in applications, the course will have a strong theoretical component. This material is covered in chapters 1-5 of the textbook.

Prerequisites: Math 5 A, B, and C or equivalent. Knowledge of a computer language suitable for numerical computing: FORTRAN, C, C++, or Matlab.

Assignments and Grading Policy: Homework will be assigned on Thursdays, and will be collected at the beginning of the class on the following Thursday. Late homeworks will not be accepted. The homework will generally consist of some theoretical questions, and some computational assignments. You will be required to write a program to solve certain problems. The program must be given to me as part of the assignment, together with the output of the program, in the format indicated in the assignment, and an interpretation of the results whenever necessary. You can write the programs either in FORTRAN, C, C++, or Matlab. The book comes with a CD that contains the code for the problems. You may use this code as a guide, but you must write your own original code for the assignments. No credit will be given for using the code in the CD.

Tests: There will be a midterm and a final exam. Make-up exams will only be given in exceptional circumstances, and then only when notice is given to me before hand and a suitable written excuse forthcoming.

  • Midterm : Tuesday, Nov 6
  • Final : Wednesday, Dec 12, 8-11 am (You may bring a 3x5 note card and a simple calculator.)

Grading:

  • Homework 35%
  • Midterm 25%
  • Final Exam 40%

Computer Laboratory: In order to use the computer laboratory, you must go to Phelps 1523 (between 9am and 5pm) and get a sticker in your ID. You can check the lab schedule here.

For those of you unfamiliar with Matlab, you may want to check this homepage: A practical Introduction to Matlab. The Matlab Primer is also available in postscript and pdf. You can find a lot of documentation at the MathWorks homepage, specially in their support page.

Codes

  • bisec.m
  • f.m
  • Assignments:
    Week   Section    Exercises   Due Date   
    1 1.1 1(b), 3(a),3(d), 11 Oct 4
    2 1.2, 1.3, 2.1 homework 2( change in hw2 ) Oct 11
    3 2.2, 2.3 homework 3 Oct 18
    4 2.4, 3.1 homework 4 Oct 25
    5 3.1, 3.2 homework 5 Nov 1
    6 3.3, 3.4, 4.1 homework 6 Nov 15
    7 4.2, 4.3, 4.4 homework 7 Nov 29
    8 5.2, 5.3, 5.4 homework 8 Dec 6


    Sookyung Joo