EC CR 151, MWF 10:00-10:50
Instructor: Keith Julien
Grader: TBA
Office: EC OT 321
Office:
TBA
Hours: MW11:00 - 12:30
Hours:
TBA
Email: <julien@colorado.edu>
Email: TBA
Phone: (303) 492 - 5753
Phone: TBA
Below is a tentative schedule for the course. Adjustments will be made to accomodate the needs of the class.
Last Updated on 8/19/2005.
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| Week 1 |
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Chapter 3 Homework: | |
| M: Aug. 22 | Introduction | ||
| W: Aug. 24 | Polynomial Interpolation | 3.1 | |
| F: Aug. 26 | Error Formulas | 3.1, 3.2 | |
| Week 2 | |||
| M: Aug. 29 | Divided Differences | 3.2 | |
| W: Aug. 31 | Finite Difference Formulas |
3.3, 3.4 | |
| F: Sept. 2 |
Hermite Interpolation Programming Assignment 1: Interpolation |
3.6 |
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| Week 3 |
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| M: Sept. 5 |
No Class |
Labor Day |
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| W: Sept. 7 | Piecewise Polynomial Interpolation | 3.7 | |
| F: Sept. 9 | Splines | 3.7 |
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| Week 4 | |||
| M: Sept. 12 | Trig Interpolation | 3.8 | |
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Chapter 2 Homework: | ||
| W: Sept. 14 | Bisection, Newton's Method | 2.1, 2.2 |
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| F: Sept. 16 | Secant Method | 2.3 Due: Chapter 3 Homework: Solutions |
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| Week 5 | |||
| M: Sept. 19 | Regular Falsi, Muller's Method, Stephenson's Method | 2.4 | |
| W: Sept. 21 | One Point Iteration | 2.5 | |
| F: Sept. 23 | High-order One Point Methods | 2.5 Due: Programming Assignment 1: Solution |
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| Week 6 | |||
| M: Sept. 26 | Aitken Extrapolation | ||
| W: Sept. 28 | Systems of Nonlinear Equations | 2.10 | |
| M: Sept. 30 |
Systems of Nonlinear Equations |
2.11 Due: Chapter 2 Homework: Solutions |
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| Week 7 | |||
| M: Oct. 3 | Test 1: Solutions: *.pdf | Chapters 2 & 3 | |
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Chapter 4 Homework: | ||
| W: Oct. 5 | Approximation Problem, Weierstrass Theorem | 4.1, 4.2 | |
| M: Oct. 7 | Least Squares Approximation | 4.3 | |
| Week 8 | |||
| W: Oct. 10 | Least Squares Approximation, Orthogonal Polymonials | 4.4, 4.5 | |
| F: Oct. 12 | Orthogonal Polynomials, Minimax Approximation Programming Assignment 2: Approximation |
4.6 | |
| F: Oct. 14 |
No Class |
Fall Break |
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| Week 9 | |||
| M: Oct. 17 | More Minimax Approximation | 4.7 | |
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Chapter 5 Homework: | ||
| W: Oct. 19 | Trapazoidal Rule, Simpson's Rule | 5.1 |
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| F: Oct. 21 | Newton-Cotes Formulas | 5.1 |
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| Week 10 | |||
| M: Oct. 24 | Gaussian Quadrature | 5.2 |
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| W: Oct. 26 | Asymptotic Error Formulas | 5.3 Due: Chapter 4 Homework: Solutions |
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| F: Oct. 28 | Adaptive Quadrature Programming Assignment 3: Quadrature |
5.4 | |
| Week 11 | |||
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Chapter 7 Homework: | ||
| M: Oct. 31 | Vector Spaces, Matrices and Linear Operators | 7.1 Due: Programming Assignment 2: Solutions |
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| W: Nov. 2 | Linear Systems | 7.1 |
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| F: Nov. 4 | Test 2 -> Nov 11 : Solutions *.pdf | Chapters 4&5 | |
| Week 12 | |||
| M: Nov. 7 | Canonical Forms | 7.3 | |
| W: Nov. 9 | More Canonical Forms | 7.4 Due: Chapter 5 Homework: Solutions |
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Chapter 8 Homework: | ||
| F: Nov. 11 | Gaussian Elimination | 8.1 |
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| Week 13 | |||
| M: Nov. 14 | Gaussian Elimination Continued |
8.1 |
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| W: Nov. 16 | Pivoting and Scaling |
8.2 | |
| F: Nov. 18 | Special Matrices Programming Assignment 4: Gauss Elimination |
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| Week 14 | |||
| M: Nov 21 | Error Analysis, Residual Correction |
8.4, 8.5 |
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| W: Nov. 23 | Iterative methods: Jacobi, Gauss/Seidel, SOR |
8.6, 8.7 Due: Programming Assignment 3: Solutions | |
| F: Nov 25 | No Class | Thanksgiving | |
| Week 15 | |||
| M: Nov. 28 | Conjugate Grandient Method |
8.9 |
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| W: Nov. 30 | Nonsquare Systems: Given's Rotations Householder Reflections |
9.3 Supplemental Text: Golub and Van Loan, Chapter 5 |
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| F: Dec. 2 | QR-Factorization | 9.3 Due: Programming Assignment 4 |
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| Week 16 | |||
| M: Dec. 5 | QR-Factorization |
9.3 Due: Chapter 7 & 8 Homework: Solutions |
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| T: Dec. 13 | Final Exam: 10.30am-1.00PM Solutions | ||
By Keith Julien
Email: julien@colorado.edu