| Date |
Material covered |
Homework |
| Nov 15 (Fri) |
- Discussion of the midterm
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- Redo Problem 3 of the midterm for the Newton's method applied to f(x) = sin(x) starting from x0=3.
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| Nov 13 (Wed) |
Midterm
- Sections 1.2, 2.1–2.5,
- 2.6 (Aitken's method only)
- 3.1–3.9
- 3.10 (Newton's method only)
- 4.1, 4.2
|
|
| Nov 11 (Mon) |
|
|
| Nov 8 (Fri) |
|
- Exercises (Sec. 4.3) 2(ab), 6
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| Nov 6 (Wed) |
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- Exercises (Sec. 4.2) 1, 11, 13
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| Nov 4 (Mon) |
|
- Exercises (Sec. 4.1) 1, 8, 9, 10, 17
- Read "Application Problem 1..." (Sec. 4.1, p. 272)
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| Nov 1 (Fri) |
|
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| Oct 30 (Wed) |
|
- Exercises (Sec. 3.10, Newton's method only) 5, 7, 11(a), 12
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| Oct 28 (Mon) |
|
- Exercises (Sec. 3.9) 1
- Solve the system from Quiz 6 with x=y=z=5 using the conjugate gradient method (report the number of iterations)
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| Oct 23, 25 (Wed, Fri) |
|
- Exercises (Sec. 3.8) 5(a,d), 6(a,d), 9, 11, 13
-
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| Oct 21 (Mon) |
|
- Exercises (Sec. 3.7) 1, 3, 10
- Exercise 14(a), use tridiagonal.m and compare the answer to the one obained with the Gaussian elimination.
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| Oct 17 (Fri) |
- Section 3.4 (norms of matrices)
|
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| Oct 16 (Wed) |
- Section 3.3 (norms of matrices)
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- Exercises (Sec. 3.3) 2b, 5a, 6b, 8 (in Ex. 8 compute the Frobenius norm only for 6b)
|
| Oct 14 (Mon) |
|
|
| Oct 11 (Fri) |
- Section 3.6
- 1D variants of some tasks of the bridge project
Here are the notes with Matlab code.
|
- complete homework for Section 3.6
|
| Oct 9 (Wed) |
- Section 3.5 (pivoting), 3.6
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- Exercises (Sec. 3.5): 11(a) (ignore b3)
- Exercises (Sec. 3.6): 1, 9, 15, 16
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| Oct 7 (Mon) |
|
- Exercises (Sec. 3.5): 3, 5(a), 7, 9(a)
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| Oct 4 (Fri) |
|
- Exercises (Sec. 3.2): 1(acd), 5, 19
- For Exercise 19, use
A = single([-149, -50, -154; 537, 180, 546; -27, -9, -25]);
b = single([353; -1263; 61]);
in Matlab
|
| Oct 2 (Wed) |
|
|
| Sep 30 (Mon) |
- Rootfinding presentation (see these notes)
- Linear Algebra Revision (based on Section 3.0)
|
- If necessary, work through Section 3.0 for linear algebra revision
|
| Date |
Material covered |
Homework |
| Sep 30 (Mon) |
|
|
| Sep 27 (Fri) |
- Section 2.6 (Aitken's method only)
|
|
| Sep 25,27 (Wed,Fri) |
|
- Exercises (Sec. 2.5): 1(b), 5
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| Sep 23,25 (Mon,Wed) |
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- Exercises (Sec. 2.4): 1(b), 3, 7, 9, 11
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| Sep 20,23 (Fri,Mon) |
|
- Exercises (Sec. 2.3): 1, 5, 7, 9, 11, 15
|
| Sep 18 (Wed) |
|
- Read "A Remark about Pathological Examples" (p. 58, Chapter 2, right before Section 2.1)
- Exercises (Sec. 2.2): 1(a), 7, 9, 11(ab)
|
| Sep 16 (Mon) |
- Section 2.1
- (see this for a Matlab implementation of the bisection method)
|
- Exercises (Sec. 2.1): 1a (do this exercise by calculator, to get a better feeling of the method)
- Exercises (Sec. 2.1): 3, 6, 7, 11, 17 (your are advised to use the Matlab code for the last exercise)
- Upd: see an answer to Ex. 17
|
| Date |
Material covered |
Homework |
| Sep 13 (Fri) |
- Section 1.4
- (also, for your reference, the Mathematica program I showed in the class)
|
- Exercises (Sec. 1.3): 15, 17
- Exercises (Sec. 1.4): 6a, 9, 13
- Go through examples 1.10 and 1.11 (and see how calculations there lead to large round-off errors)
|
| Sep 11 (Wed) |
- Section 1.3 (up to "the IEEE Standard")
|
- Read the definition of "significant digits" (p. 36, before Example 1.9)
- Exercises (Sec. 1.3, p. 27): 1(ab), 6(ab), 7, 13
- Familiarize yourself with ``the IEEE Standard'' (p. 36, after Example 1.9)
|
| Sep 9 (Mon) |
|
- Review Taylor's Theorem (p. 25)
- Exercises (p. 27): 1, 3, 7, 9, 18
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Sep 6 (Fri)
Lind Hall 40 |
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- Complete the exercises from the handouts
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| Sep 4 (Wed) |
- Syllabus (pdf)
- Section 1.1 (of the book)
|
- Exercises (Section 1.1): 7, 9
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