# Numerical Methods

## Metode Numerik

## Semester Genap 2009/2010

## Instructor

## Schedule

- Lectures
- Wednesdays: 09:00-10:50, at U2.01

- Exams

## Objectives

## Syllabus

## Textbooks

- J. H. Mathews, and K. D. Fink. Numerical Methods Using MATLAB (3rd Ed.). Prentice Hall, 1999.
- J. L. Buchanan, and P. R. Turner. Numerical Method and Analysis. McGraw-Hill, 1992.
- D. Goldberg. What every computer scientist should know about floating-point arithmetic. ACM Computing Surveys (CSUR), vol. 23, issue 1, pp. 5-48, March 1991. (Make sure to read this before the first lecture.)

## Grading

- Exercises: 20%
- Mid-term exam: 40%
- Final exam: 40%

## Lectures

### Lecture 0 (February 24, 2010)

### Lecture 1 (March 3, 2010)

- Floating-point, Propagation of Errors and Taylor Series Revisited

### Lecture 2 (March 10, 2010)

- Differential Approximation: Forward, Backward and Central Divided Difference Approximations

### Lecture 3 (March 17, 2010)

- Differential Approximation and Solutions of Non-Linear Equations

### Lecture 4 (March 24, 2010)

- Solution of Non-Linear Equation
- Exercise 1 (due March 31, 2010)

### Lecture 5 (March 31, 2010)

- Solution of a System of Linear Equations

### Lecture 6 (April 7, 2010)

- Solution of a System of Linear Equations
- Exercise 2

### Lecture 7 (April 28, 2010)

### Lecture 8 (May 5, 2010)

### Lecture 9 (May 19, 2010)

### Lecture 10 (May 26, 2010)

### Lecture 11 (June 2, 2010)

### Lecture 12 (June 9, 2010)

Reza Pulungan
pulungan@ugm.ac.id