MATH
4721/6721 |
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Schedule of Lectures
and Exams |
Spring 2012 |
Numerical Analysis |
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Dwiggins |
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MONDAY |
WEDNESDAY |
FRIDAY |
Week # 0 |
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Jan 13 |
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Introduction |
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Overview of Course |
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Week # 1 |
Jan 16 |
LABOR DAY |
Jan 18 |
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Jan 19 |
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§§ 1.1-2 |
Numerical |
§§ 1.3-4 |
Error Sources, |
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Representation and |
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Propagation, |
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Computation Errors |
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and Control |
Week # 2 |
Jan 23 |
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Jan 25 |
HW # 1 Due |
Jan 27 |
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§§ 1.5-6 |
Introduction to |
§§ 2.1-2 |
Bisection Method |
§§ 2.3-5 |
General Theory |
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Error Analysis |
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and Newton's Method |
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of Iteration |
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for Finding Roots |
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Methods |
Week # 3 |
Jan 30 |
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Feb 1 |
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Feb 3 |
HW # 2 Due |
§§ 2.6-8 |
Comparison of |
§§ 2.9-11 |
Finding Roots of |
§§ 3.1-2 |
Interpolation |
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Newton's Method |
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Systems of Equations |
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Theory |
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with other methods |
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Week # 4 |
Feb 6 |
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Feb 8 |
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Feb 10 |
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§§ 3.3-4 |
Finite Difference |
§§ 3.5-6 |
Interpolation |
§§ 3.7-8 |
Spline |
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Tables |
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Error Analysis |
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Theory |
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Week # 5 |
Feb 13 |
HW # 3 Due |
Feb 15 |
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Feb 17 |
TEST # 1 |
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REVIEW |
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REVIEW |
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Chapters 1-3 |
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Week # 6 |
Feb 20 |
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Feb 22 |
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Feb 24 |
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§§ 7.1-2 |
A Review of |
§ 7.3 |
Linear Spaces |
§ 7.4 |
Convergence |
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Linear Algebra |
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Vector Norms |
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and Perturbation |
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Matrix Norms |
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Week # 7 |
Feb 27 |
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Feb 29 |
HW # 4 Due |
Mar 2 |
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§§ 8.1-2 |
Gaussian |
§§ 8.3-4 |
Residuals and |
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Wilkinson's |
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Elimination |
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Error Analysis |
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"Fig Leaf" |
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Week # 8 |
Mar 5 |
SPRING BREAK |
Mar 7 |
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Mar 9 |
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MATH
4721/6721 |
|
Schedule of Lectures and Exams |
Spring 2012 |
Numerical Analysis |
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Dwiggins |
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MONDAY |
WEDNESDAY |
FRIDAY |
Week # 9 |
Mar 12 |
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Mar 14 |
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Mar 16 |
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§ 8.4 |
The Condition |
§ 8.5 |
Iteration Methods |
§ 8.6 |
Iteration Methods: |
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Number for |
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with Residuals |
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Further Topics |
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a Matrix |
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Week # 10 |
Mar 19 |
HW # 5 Due |
Mar 21 |
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Mar 23 |
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§§ 8.7-9 |
Special Matrices |
Ch. 9 |
Numerical |
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and corresponding |
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Approximation |
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REVIEW |
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algorithms |
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of Eigenvalues |
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Week # 11 |
Mar 26 |
TEST # 2 |
Mar 28 |
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Mar 30 |
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§ 4.1 |
From Taylor |
§§ 4.2-4 |
Inner Product |
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Chapters 7-8 |
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to Weierstrass |
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Spaces and |
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L2 Approximation |
Week # 12 |
Apr 2 |
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Apr 4 |
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Apr 6 |
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§§ 4.4-6 |
Least Squares |
§ 5.1 |
Numerical |
§ 5.2 |
Splines and the |
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Regression |
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Integration |
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Newton-Cotes Method |
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Week # 13 |
Apr 9 |
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Apr 11 |
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Apr 13 |
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§ 5.3 |
Gaussian |
§ 5.4 |
Error |
§§ 6.1-2 |
Differential |
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Quadrature |
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Analysis |
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Equations |
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Week # 14 |
Apr 16 |
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Apr 18 |
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Apr 20 |
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§§ 6.2-3 |
Euler's |
§ 6.10 |
Runge-Kutta |
§§ 6.4-5 |
Other |
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Method |
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Methods |
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Methods |
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Week # 15 |
Apr 23 |
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Apr 25 |
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Friday, Apr
27, 10:30-12:30 |
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FINAL EXAM |
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REVIEW |
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REVIEW |
Wednesday, May 2, noonish |
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GRADES POSTED |
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Back to MATH 4721/6721 main
page |
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