CRN 13593: Weeks

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Week 13

  • 29. Final Projects (9 min.)

Week 12

  • 26. Computing Project 4 (10 min.)

  • 27. Filters and towards D4 (27 min.)

  • 28. Computing the Daubechies-4 coefficients (6 min.)


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.)

  • 25. Haar 2D (21 min.)

Week 10

  • 23. Haar Wavelets II (29 min.)

Week 9

  • 20. Fourier Analysis II (22 min.)

  • 21. Fourier Analysis III (9 min.)

Week 8

  • Read pp.334-344.
  • 19. Fourier Analysis I (15 min.) [Disclaimer: There are a few "typos" - sorry!]

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.):

  • 18. The complex exponential function (21 min.):

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:
    1. Show that \(\int_{-\pi}^\pi \sin(kt) \cos(nt)\, dt=0\) for all values of k and n.
    2. Compute \(\int_{-\pi}^\pi \cos(kt) \cos(nt)\, dt\) for all values of k and n.
    3. (a) Compute \(\|\sin(t)\|_2\). (b) Can you find c such that \(\|c\sin(kt)\|_2=1\) or all k?
    4. Compute the Fourier coefficients of \(f(t)=|t|\)
    5. Can every function \(f:\mathbb{R}\to\mathbb{R}\) be written as the sum of an odd function and an even function?

Week 5

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.):

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