Welcome to MATH 8600 Introduction to Scientific Computing (Fall 2014)
Instructor: Dr. Timo Heister, heister@clemson.edu, http://www.math.clemson.edu/~heister/
Please contact me via email for questions, appointments, etc..
Handouts and Resources
- This site: http://www.math.clemson.edu/~heister/math8600-fall2014/
- Blackboard: http://bb.clemson.edu
- Syllabus
Overview
This course is designed to introduce students to the appropriate numerical methods for approximating solutions to scientific problems.
Topical Outline:
- Computer representation of number and floating point arithmetic,
- Solution of non-linear equations,
- Solution of linear systems
- Least squares solution to equations,
- Interpolation and curve fitting,
- Numerical integration and differentiation,
- Numerical approximation of Initial Value Problems.
Prerequisites:
- CP SC 110, MATHSC 208, 311
Class Schedule
See http://www.registrar.clemson.edu/pdf/academicCalendar2014.pdf and http://www.registrar.clemson.edu/html/examSched.htm for important dates.
Schedule:
-
08/21:
- Introduction, Overview, Syllabus
- Chapter 1: numerical method, errors, convergence orders
-
08/26:
- Chapter 2: binary numbers, 64bit floating point format, roundoff
-
08/28:
- Nonlinear scalar equations
- Bisection
- Convergence rate/order
-
09/02:
- Fixed Point iteration
- Newton's method
- Secant method
-
09/04:
- Minimization
- Linear systems
- Back Substitution
- Gauss Elimination
-
09/09:
- flops Gauss Elimination
- LU decomposition
- pivoting
-
09/11:
- Cholesky decomposition
- sparse matrices, storage formats
- banded matrices
- vector norms
Date: 2014-09-12 10:50:33 EDT
HTML generated by org-mode 6.33x in emacs 23