MA321 Homework list

For the computer homework, there is one page limit for each problem.
For extra credits, you may hand-in at least one question from 'Applied problems and projects (it should not be a part of regular homework problems below) in each chapters. Hand-in on any of HW due dates.

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HW 5 due April 23: Chapter 4, 5, 6

• page 252, Chapter 4: 2, 6
• page 321, Chapter 5: 4, 5,6,21
• page 394, Chapter 6: 1,2,5
• page 322, Chapter 5: 31, 35, 41, 64, 74
• Hand-in : (1) page 321 #4, (2) page 394 #5, (3) page 322 #41, and the following
  (4) Use f (x) = 1/(x^2+1) . For n = 5 and 10, find interpolation polynomial with n equally spaced nodes, p(x), and Chebyshev interpolation polynomial, C(x), in [-5, 5]. Submit 1) one plot with f(x) and p(x) together and 2) another with f(x) and C(x) together.
  

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Extra Project due April 28 (worth up to 10 points)

Study, research and write a report on Fourier Series (section 4.3). At leaset two pages for the main body (this may be double sided), 9-11 point font and must include all the rederences of your source.

It most include the concept of Fourier Series, and some examples in section 4.3. In addition, it may include study on Fourier Transformation, Fast Fourier Transformantion, and/or various applications. (not to exceed 8 pages total.)

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HW 4 due April 7: Chapter 3

• page 209, Section 3.1: 1, 4a, 6
• page 210, Section 3.2: 12, 15, 16, 17
• page 212, Section 3.3: 33, 38, 43, 44
• page 214, Section 3.6: 67, 68ab, 69
• Hand-in : 4a, 16, 33, 69
  

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HW 3 due Mar 5: Chapter 2

• page 136, Section 2.2: 11, 13, 17(just find LU factorization), 19, 38(also try with getting 1 in the diagonal).
• page 139, Section 2.3: 54ab
• page 139, Section 2.4: 58, 61, 70, 76
• page 140, Section 2.5: 78, 79, 81
• Hand-in : 13, 38, 70, 81
For LU factorization, just find L with diagoal 1s not 2s.

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HW 2 due Feb 13: Chapter 1

• page 67, Section 1.3: 12-15, 26, 28, 30
• page 67, Section 1.2: 8, 9, 25
• page 71, Section 1.7: 47
• page 69, Section 1.5: 36, 37, 38a, 41
• Hand-in : 25, 26, 28, 47c, 38a

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HW 1 due Jan 23: Chapter 0 and Chapter 1

• Chapter 0 (page 28): 9-12
• Chapter 1 (page 67): 1-3,7
• Hand-in : page 67) 1,7

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