# TEACHING

This is the webpage for the course "Numerical Analysis". The lectures and most information regarding the course will be uploaded to this website.

**Lectures will be held in room 309 in Science Building III.**

- Text Book errors and their correction are here.

- Useful Links
- Course material from last year.
- Matlab tutorial - University of Florida
- Mathtools.net
- Some Unix Commands
- An Overview of Numerical Analysis as discussed by Kendall Atkinson.
- The Definition of Numerical Analysis as discussed by L. N. Trefethen (pages in reverse order).
- Sketch A Function. This is a Java utility program to allow online graphing of basic functions.
- C Language Program. These are for the second edition of the book
*Elementary Numerical Analysis*.

**Lectures**:- Lec 1: Intro and History
- Lec 2: Taylor Polynomials
- Lec 3: Error and Computer Arith.
- Lec 4: Error and Computer Arith.
- Lec 5: Error and Computer Arith.
- Lec 6: Error and Computer Arith.
- Lec 7: Bisection Method
- Lec 8: Newton's Method
- Lec 9: Secant Method
- Lec 10: Fixed Point Iteration
- Lec 11: Ill Behav. Rootfind. Prob.
- Lec 12: Polynomial Interp.
- Lec 13: Error in Poly. Interp.
- Lec 14: Interp. Via Spline Func.
- Lec 15: The Best Approx. Prob.
- Lec 16: Chebyshev Polynomials
- Lec 17: Near-MiniMax Approx. Method
- Lec 18: Least Squares Approx.
- Lec 19: Trapezoidal and simpson rules
- Lec 20: Error Formulas
- Lec 21: Gaussian Num. Integeration
- Lec 22: Numerical Differentiation
- Lec 22: Brent's Method (by Kristin Koehler)
- Lec 23: Systems of Linear Equations
- Lec 24: Matrix Arithmetic
- Lec 25: Guassian Eliminiation
- Lec 26: The LU factorization
- Lec 27: Error in Solving Linear Systems
- Lec 28: Iteration Methods
- Lec 29: Theory of Differential Equations
- Lec 30: Euler's Method
- Lec 31: Conv. Analysis of Euler's Method

**Labs**:- Lab 1: Taylor Polynomials
- Leb 2: Error and Comp. Arithmetic
- Lab 3: Root Finding
- Lab 4: Interpolation and Spline Func.
- Lab 5: Numerical Int. and Guassian Elim.

**Homework**:- HW1: Due on April 18th
- HW1 Solution: Posted
- HW2: Due on April 25th
- HW2 Solution: Posted
- HW3: Due on May 2nd
- HW3 Solution: Posted
- HW4: Due May 17th
- HW4 Solution: Posted
- HW5: Due May 27th
- HW5 Solution: Posted
- HW6: Due June 8th
- HW6 Solution: