ECE 3340 - Numerical Methods for Electrical Engineers

Course Description

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. The secondary objective is to gain practical programming experience with C/C++ and Matlab, including algorithm design and the proper understanding and use of available numerical algorithms.

Syllabus [ PDF ]

Textbooks


[ PDF ] Numerical Methods in Practice - (in progress)

Lectures


01 [ PPTX ] Introduction to numerical methods, quantization errors, and programming tools
2.1 [ YouTube ] [ PDF ]
2.2 [ YouTube ] [ PDF ]
Computational complexity, Horner's algorithm, polynomial derivatives
3.1 [ YouTube ] [ PDF ]
3.2 [ YouTube ] [ PDF ]
3.3 [ YouTube ] [ PDF ]
Numerical representation, error, loss of precision
HexEdit website: hexed.it
4.1 [ YouTube ] [ PDF ]
4.2 [ YouTube ] [ PDF ]
Methods for mitigating precision loss, re-arranging terms, Maclaurin series
5 [ YouTube ] [ PDF ] Roots of Equations and Optimization
6.1 [ YouTube ] [ PDF ]
6.2 [ YouTube ] [ PDF ]
6.3 [ YouTube ] [ PDF ]
Linear Systems, Gaussian elimination, and instabilities
7 [ YouTube ] [ PDF ] Probability, random number generators
Review 1 [ PDF ]
8 [ YouTube ] [ PDF ] Finite difference calculus
9 [ YouTube ] [ PDF ] Numerically solving partial differential equations
[ Python ] [ MATLAB ]
Review 2 [ PDF ]
10 [ YouTube ] [ PDF ] Numerical integration, Monte-Carlo methods
11 [ YouTube ] [ PDF ] Least squares fitting
12 [ YouTube ] [ PDF ] Interpolation
13 [ YouTube ] [ PDF ] Kessel Run Programming Assignment
MATLAB Euler example
Review 3 [ PDF ]

Homework and Programming Assignments


Homework 1 Review Chapters 1 and 2 (math and C/C++ review)
Get an account on Tuxedo (Engineering Computer Lab)
Submit: a program that echos user input.
input:
(assuming your executable is the default "a.out")

./a.out repeat this text

output:

echo: "repeat this text"
Homework 2 Read Chapter 3
Submit: P3.1, P3.2
Programming 1A Chapter 3, Programming Assignment
Horner's Method (no submission yet)
Homework 3 Read Chapters 5 and 6
5.1 #6, 5.2 #2, 5.3 through 5.10, 6.4, 6.12, 6.16
Programming 1 Python Benchmark: roots_benchmark.py

Usage:
python roots_benchmark.py ./executable

Practice Exam #1 Practice Exam #1 Answers
Homework 4 8.1, 9.1A, 9.7, 10.1, 10.2
Programming 2 Python Benchmark: lup_benchmark.pyUsage:
python lup_benchmark.py ./executable
Practice Exam #2 Practice Exam #2 Answers
Programming 3:
instructions
slides
Euler example
Implement the Kessel Run
Cluster files:
cluster1.mat
Practice Exam #2 Practice Exam #3 Answers