Class Notes

CLASS NOTES
  • Mathematica nb is a Mathematica(R) Notebook (.nb) file. Right click to download and save. Do not try to open in a web browser. Run with Mathematica.
  • This is the UH Mathematica page https://uh.edu/mathematica/
  • Wolfram cdf is a Mathematica CDF module that can be run with a free CDF player.
  • You can still run cdf module in Internet Explorer that allows ActiveX. You can download IE plug-in for ActiveX for other browsers such as firefox, opera, chrome. However, the full functionality of the apps may not be available.
  • For the benefits of those using jupyter, some .ipynb files are posted, but html version is more convenient, and icon  may indicate either .ipynb or its html version (more convenient to see online and one can just copy and paste into a Jupyter nb).

Important: Please install StyleSheet ECE3340 - follow instruction.

Course Materials
Lecture set 1 Introduction
 part 1   part 2
  



Tutorial 1

answer
     

Tutorial 2
The jupyter nb html is extra only for those interested. It is NOT as complete as, and not a substitute for as the Mathematica nb.


answer
    

Tutorial 2.5
see the html jupyter nb for the sound exercise (section 3)

answer
    

Tutorial 3 (if the html is too slow to load, visit each sub-page)
page 1  page 2   page 3
Tutorial_3    answer
    

Student-individual-interest project example: dipole array far-field

 

Student-individual-interest project example: classification (discussed in class)



Lecture set 2 Intro to computer capability and limitation - precision and accuracy concept
      






Lecture set 3 Binary number representation


Tutorial 4 


  
Lecture set 4
 Polynomials, Zeros, and Roots


Supplementary note: polynomials

  

Lecture set 8
 Fourier and Application in Linear Time Invariant System




Lecture segment 1: concept of spectrum


Lecture segment 2: review Fourier transform and Fourier analysis concept-Part 1
    html version of .nb for file error check pdf version for .nb file

Lecture segment 2: review Fourier transform and Fourier analysis concept-Part 2
html version of .nb for file error check

Lecture segment 2: review Fourier transform and Fourier analysis concept-Part 3
html version of .nb for file error check pdf version for .nb file

Lecture segment 3: discrete Fourier transform (FFT)-Part 1



Lecture segment 3: discrete Fourier transform (FFT)-Part 2



Fourier analysis and techniques (cont.)




Supplementary note:
Fourier tutorial series - segment 1
    
   

Supplementary note:
Fourier tutorial series - segment 2
  



Supplementary note:
Fourier tutorial series - segment 3: the programming nitty-gritty practicals of doing numerical Fourier transform and applications to HW.
   



Additional Fourier demos
  

Laplace transform
  


Lecture set 9
 Part A: Numerical Fitting/ Regression
note: ppt/pdf file is only a summary, main lecture is in the Mathematica file ->
 
check html version for potential .nb download error
 Use this app (Sect. 3)

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Credit Credit
Bodystat Credit

mixed Tutorial Data Analysis and lecture



Part A - continued. Introduction to Data Clusters and Classification.
Lecture and demo only
     


Lecture set 9
 Part B: Interpolation/approximation, Spline (smoothing)
     


Lecture set 10
 Stochastic Phenomena, Probability, Monte Carlo Methods
   



Intro to Monte Carlo concept (segment 1) - Examples on shot noise and thermal noise
    



Intro to Monte Carlo concept (segment 2) - Types of stochastic process and common distributions
   



Intro to probability and Bayes' rule (segment 1)- Probability and descriptive statistics
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Intro to probability and Bayes' rule (segment 2)- Bayes' rule, Bayesian decision, BBN
   



Data clusters and classification revisited.




Intro to stochastic calculus and financial applications









Lecture set 11
 Numerical methods for differential equations
   



Diff Eq. (segment 1) -basic
    



Diff Eq. (segment 2) -system of equations  



Diff Eq. (segment 3) -additional illustrations, examples
  










Supplementary materials




A note about programming and Mathematica syntax
  


Python-Mathematica introductory "rosetta"



Sound recording problem

Style
Sheet
 ECE3340 Mathematica notebook stylesheet. (See explanation in class how to install). Download the file to the right.

For Windows, first, delete old stylesheet of the same name ECE3340 if exists, then put the downloaded file into folder:
ProgramData\Mathematica\SytemFiles\FrontEnd\StyleSheets

For Mac OS:
~/Library/Mathematica/SytemFiles/FrontEnd/StyleSheets