MATH 3394.01
Numerical Methods
MW 3:00-4:20
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HOMEWORK
ASSIGNMENTS/QUIZZES/EXAMS |
DATE
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Chapter 1.1 |
Wednesday, Feb. 1 |
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Chapter 1.2, 1.3 |
Wednesday, Feb. 8 |
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Chapter 2.1, 2.2 |
Wednesday, Feb. 15 |
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Chapter 2.3, 2.4 |
Monday, Feb. 27 |
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Chapter 3.1 |
Wednesday, March 7 |
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Exam 1 Chapter 1,2,3 (only those sections covered above) |
Wednesday, March 7 |
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Chapter 3.2 and 3.3 |
Wednesday, March 28 |
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Chapter 3.4 and 4.1 |
Monday, April 9 |
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Chapter 4.2 and 4.3 |
Wednesday, April 18 |
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Exam 2 Chapter 3.2,3.3,3.4,4.1,4.2,4.3 |
Wednesday, April 18 |
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Chapter 5.2 |
Wednesday, May 2 |
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Final Exam: Comprehensive |
Wednesday, May 9 5:00-7:00 |
Homework List (From the book: Numerical Analysis 9th edition, Burden and Faires)
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SECTION |
PROBLEMS |
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Chapter 1.1: Review of Calculus |
1(c), 3(c), 4(a), 11, 21 Note: for problems 1(c), 3(c), and 4(a) use a theorem from
chapter 1.1. In your
answer, state the theorem, verify the hypotheses,
and use the conclusion to answer the problem. |
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Chapter 1.2: Round-off Errors and Computer Arithmetic |
1(e), 2(d), 4(c), 10, 13(c), 21 |
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Chapter 1.3: Algorithms and Convergence |
3,6(d),7(b),12 HINT: for problem 3 use the property of alternating series
stated in solution of example 1 on page 33. |
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Chapter 2.1: The Bisection Method |
5(c),7,13,15 |
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Chapter 2.2: Fixed Point Iteration |
1(c),5,7,11(c),13 (for problem 13, just find the positive zeros
of the given function) |
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Chapter 2.3: Newton’s Method and Its Extensions |
3,5(b),6(e),14 |
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Chapter 2.4: Error Analysis for Iterative Methods |
1(c),3 (repeat 1(c) only),7,8 |
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Chapter 3.1: Interpolation and Lagrange Polynomial |
1(c),3,5(c),7(c) Do problem 1(c) by hand and use software to find
interpolating polynomials for problems 5(c) and 7(c) |
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Chapter 3.2: Data Approximation and Neville’s Method |
1(c),3(b),5 |
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Chapter 3.3: Divided Differences |
3(a),5(a),9(a),9(b),14,16,17 For problems 3(a), 5(a), and 9 you
may construct the divided differences table using software. |
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Chapter 3.4: Hermite
Interpolation |
6(a), 6(b) |
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Chapter 4.1: Numerical
Differentiation |
1(a),3(a),5(a),7(a),20,21 |
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Chapter 4.2: Richardson’s Extrapolation |
1(a),2,9 |
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Chapter 4.3 Elements of Numerical
Integration |
1(e),3(e),5(e),7(e),9(e),11(e),15,17 |
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Chapter 5.2 Euler’s Method |
1(a),1(c),3(a),3(c),5(c),7(c),11,13(c) Do problems 1(a) and 1(c) by hand and use software for problems
5(c) and 11(c) |
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Chapter 5.3 Higher-Order Taylor
Methods |
9 Do part
(a) by hand and use software for parts (c) and (d). |
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