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.
Course Outline
Appointments
Please make office appointments through Calendly. I can meet in person (Engineering 2, W330) or via Teams and Zoom.
Introduction
1 - Mathematics Review
Homework 1 (Math)
P1.2, P1.3, P1.6, P1.9, P1.15
2 - Coding Review
3 - Discrete Math
Homework 2
Data Types and Complexity
P2.1, P2.2, P2.4, P3.1, P3.2
4 - Numerical Error
5 - Numbers
Homework 3
Error and Numbers
P4.1, P4.2, P4.5
P5.1, P5.2, P5.5, P5.6, P5.7
6 - Precision Loss
7 - Solving Equations
Homework 4
Precision and Equations
P6.1, P6.4, P6.7, P6.15
P7.3
8 - Linear Systems
Homework 5
Solving Linear Systems
P8.1, P8.2
9 - Matrix Properties
Homework 6
Properties of Linear Systems
P9.1(A), P9.2(B), P9.5(A and B), P9.6, P9.7, P9.8
10 - Random Numbers
Homework 6
Matrix Properties
P9.2, P9.5, P9.6, P9.7