View source for CRN 13593: Weeks

__NOTOC__
===Week 13===
*29. Final Projects (9 min.)
<html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=2207590&node=8118952&a=1421558749&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></html>

===Week 12===
*26. Computing Project 4 (10 min.)
<html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=2177880&node=8062586&a=811529897&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></html>
*27. Filters and towards D4 (27 min.)
<html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=2190034&node=8086669&a=208155364&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></html>
*28. Computing the Daubechies-4 coefficients (6 min.)
<html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=2190742&node=8087975&a=604347732&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></html>
<br>
[http://helmut.knaust.info/class/201610_5311/D4.pdf Computing the Daubechies-4 Coefficients "power point"]

===Week 11===
* Reading for this week: The two videos below cover most of Chapter 4. Watch the videos, and then leaf through Chapter 4. The author presents different ways to go about this. I did not address edge detection via the Haar wavelet. 
*24. Haar 1D (20 min.)
<html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=2148016&node=8003288&a=716114362&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></html>
*25. Haar 2D (21 min.)
<html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=2151147&node=8010482&a=328367722&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></html>

===Week 10===
*[http://helmut.knaust.info/class/202110_5311/ASPIRE.pdf Aspire Webinar] on October 30.
*Read [http://helmut.knaust.info/class/201810_5311/MRA/MRA.pdf  Multi-Resolution Analysis for the Haar Wavelet].
*22. Haar Wavelets I (29 min.)
<html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=2094811&node=7864484&a=1564946721&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></html>
*23. Haar Wavelets II (29 min.)
<html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=2094651&node=7864142&a=769729752&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></html>

===Week 9===
*20. Fourier Analysis II (22 min.)
<html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=2041782&node=7748182&a=501777428&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></html>
*21. Fourier Analysis III (9 min.)
<html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=2041907&node=7748525&a=135271214&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></html>
*Start reading [http://helmut.knaust.info/class/201810_5311/MRA/MRA.pdf  Multi-Resolution Analysis for the Haar Wavelet].

===Week 8===
* Read pp.334-344.
* 19. Fourier Analysis I (15 min.) [Disclaimer: There are a few "typos" - sorry!]
<html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=2017307&node=7694291&a=1741723032&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></html>

===Week 7===
*Your first test will be on Thursday, October 8. I will email the test to you at 17:00; you will need to return it to me via email in PDF format by 18:30. You are allowed to use a hand-held calculator and writing utensils only. The test will cover the material up to Video 16, including the "traditional Fourier series" homework I assigned last week.
* Read pp.322-334.
* 17. Complex numbers (23 min.):
<html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=1956714&node=7539480&a=533469134&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></html>
*18. The complex exponential function (21 min.):
<html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=1958184&node=7544306&a=1949008148&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></html>

===Week 6===
* A new project has been posted. Deadline is October 16. Watch the next video for help on some ''Mathematica'' commands.
*14. Some advanced ''Mathematica'' commands (18 min.):
<html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=1904225&node=7297670&a=1779775246&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></html>
*15. Traditional Fourier Analysis (20 min.):
<html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=1905284&node=7301467&a=1133615839&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></html>
*16. An example (8 min.):
<html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=1905756&node=7313438&a=389996629&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></html>
*Your first test will be on Thursday, October 8. I will email the test to you at 17:00; you will need to return it to me via email in PDF format by 18:30. You are allowed to use a hand-held calculator and writing utensils only. The test will cover the material up to this point, including the homework I assigned today:
*#Show that <math>\int_{-\pi}^\pi  \sin(kt) \cos(nt)\, dt=0</math> for all values of k and n. 
*#Compute <math>\int_{-\pi}^\pi  \cos(kt) \cos(nt)\, dt</math> for all values of k and n. 
*# (a) Compute <math>\|\sin(t)\|_2</math>. (b) Can you find c such that <math>\|c\sin(kt)\|_2=1</math> or all k?
*#Compute the Fourier coefficients of <math>f(t)=|t|</math> 
*# Can every function <math>f:\mathbb{R}\to\mathbb{R}</math> be written as the sum of an odd function and an even function?

===Week 5===
*[http://helmut.knaust.info/class/201810_5311/ShETh.pdf Towards Shannon's Entropy Theorem] 
*13. Shannon's Entropy Theorem (13 min.):
<html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=1873658&node=7140378&a=1924128691&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></html>

===Week 4===
* Read pp. 91-96, 106-120
* Homework: p.106: 3.26ab; p.113: 3.27, 3.28, 3.29, 3.30, 3.33
* 9. Color Images (16 min.):
<html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=1825352&node=6733330&a=1583062769&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></html>
* 10. Huffman Encoding (17 min.):
<html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=1826324&node=6740921&a=1842335519&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></html>
* 11. Huffman Encoding II (6 min.):
<html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=1831354&node=6758134&a=603423255&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></html>
*12. Quantitative and Qualitative Measures (12 min.):
<html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=1841679&node=6835765&a=888204946&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></html>

===Week 3===
* Project 2 has been posted.
* 8. Creating Large Matrices with the ''SparseArray'' Command (13 min.):
<html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=1793291&node=6465851&a=450819275&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></html>
* Project 1 is due on Friday, September 11: [http://helmut.knaust.info/class/202110_5311/Project01.nb Project 1]. Please email the project to me at hknaust@utep.edu. Name the notebook "<your last name> 1.nb", e.g. "Smith 1.nb".
===Week 2===
* Read pp.69-85
* [http://helmut.knaust.info/class/201310_5311/Images.zip Photo set]
* 5. Loading Photos into ''Mathematica'' (14 min.):
<html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=1722129&node=6207703&a=1424131819&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></html>
* 6. Introduction to Digital Images I: (14 min.)
<html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=1722942&node=6211665&a=1446781886&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></html>
* 7. Introduction to Digital Images II: (16 min.)
<html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=1723627&node=6214470&a=263617201&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></html>
===Week 1===
*1. Course Overview and Syllabus (28 min.):<br>
<html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=1645380&node=5763136&a=1990808382&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></html>
*Read pp.15-40 (skip Example 2.9)
*2. Section 2.1 (9 min.):<br>
<html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=1675891&node=5930568&a=318702610&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></html>
* 3. Section 2.2 (18 min.):
<html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=1676814&node=5935956&a=41451932&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></html>
*[http://helmut.knaust.info/class/201810_5311/Reformat_cells.pdf  How to display matrices the "right" way]
* 4. [http://helmut.knaust.info/class/202110_5311/Project01.nb Project 1] (6 min.):
<html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=1677363&node=5939434&a=1248584311&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></html>