This course is an introduction to numerical analysis with an emphasis on practical applications, implementation, and algorithm design. The primary objective of this course is to gain an  understanding of the algorithms and pitfalls encountered when performing numerical operations on computational systems, including algorithm design and the proper understanding and use of available numerical algorithms.



Discrete Math
Defining Error
Representing Numbers

Loss of Precision

Catastrophic Cancellation
Taylor Approximations

Solving Equations

Bracketing Methods
Householder Methods
Hybrid Methods