Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood lectures on linear systems, focusing on linear time and variance systems.

1. Overview
2. Analyzing General Periodic Phenomenon
3. Analysis of Periodic Phenomena
4. Heat Flow
5. Periodic Phenomena to Non Periodic Phenomena
6. Fourier Transforms
7. Fourier Properties and Transforms
8. Fourier Combinations and Functions
9. Convolution
10. Central Limit Theorem
11. Confronting the Convergence of Intervals
12. Fourier Functions
13. Fourier Transforms of a General Distribution
14. Fourier Distributions
15. Properties of Deltas
16. Fourier Transforms and Its Applications
17. Interpolation
18. Phenomena associated with Interpolation
19. Aliasing
20. Discrete Fourier Transform
21. Properties of Discrete Fourier transforms
22. Fast Fourier Transform Algorithm
23. Linear time and variance Systems
24. Linear Systems
25. Lecture 25: Fourier Transforms and its Applications
26. Linear time-invariant System Theory
27. Higher Dimensions
28. Higher Dimensional Fourier Transforms
29. Stretch Theorem
30. Tomography

These are the complete lectures by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). The Fourier transform is a tool for solving physical problems. In this course the emphasis is on relating the theoretical principles to solving practical engineering and science problems.

Tags: Math, Math Calculus