CRN 13593: Weeks
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| + | ===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=== | ===Week 5=== | ||
*[http://helmut.knaust.info/class/201810_5311/ShETh.pdf Towards Shannon's Entropy Theorem] | *[http://helmut.knaust.info/class/201810_5311/ShETh.pdf Towards Shannon's Entropy Theorem] | ||
*13. Shannon's Entropy Theorem (13 min.): | *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> | <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=== | ===Week 4=== | ||
* Read pp. 91-96, 106-120 | * Read pp. 91-96, 106-120 | ||
Revision as of 12:24, 6 October 2020
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.):
- 15. Traditional Fourier Analysis (20 min.):
- 16. An example (8 min.):
- 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 \(\int_{-\pi}^\pi \sin(kt) \cos(nt)\, dt=0\) for all values of k and n.
- Compute \(\int_{-\pi}^\pi \cos(kt) \cos(nt)\, dt\) for all values of k and n.
- (a) Compute \(\|\sin(t)\|_2\). (b) Can you find c such that \(\|c\sin(kt)\|_2=1\) or all k?
- Compute the Fourier coefficients of \(f(t)=|t|\)
- Can every function \(f:\mathbb{R}\to\mathbb{R}\) be written as the sum of an odd function and an even function?
Week 5
- Towards Shannon's Entropy Theorem
- 13. Shannon's Entropy Theorem (13 min.):
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.):
- 10. Huffman Encoding (17 min.):
- 11. Huffman Encoding II (6 min.):
- 12. Quantitative and Qualitative Measures (12 min.):
Week 3
- Project 2 has been posted.
- 8. Creating Large Matrices with the SparseArray Command (13 min.):
- Project 1 is due on Friday, September 11: 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
- Photo set
- 5. Loading Photos into Mathematica (14 min.):
- 6. Introduction to Digital Images I: (14 min.)
- 7. Introduction to Digital Images II: (16 min.)
Week 1
- 1. Course Overview and Syllabus (28 min.):
- Read pp.15-40 (skip Example 2.9)
- 2. Section 2.1 (9 min.):
- 3. Section 2.2 (18 min.):
- How to display matrices the "right" way
- 4. Project 1 (6 min.):
