Physics 6730 Lecture Plan
PHYCS 6730
Lecture Plan
Spring Semester 2001
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Week 1.
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Mon 08-Jan-2001.
Introduction to the course, Unix review and mathematical preliminaries.
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Wed 10-Jan-2001.
Algorithmic convergence and issues of stability.
Week 2.
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Mon 15-Jan-2001. (Martin Luther King Day, no classes)
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Wed 17-Jan-2001.
Equations of one variable; root finding.
Week 3.
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Mon 22-Jan-2001.
Linear optimization.
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Wed 28-Jan-2001.
Nonlinear Optimization.
Week 4.
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Mon 29-Jan-2001.
Interpolation/Extrapolation; splines.
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Wed 31-Jan-2001.
Approximation theory.
Week 5.
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Mon 05-Feb-2001.
Sorting algorithms.
Intro to linear systems.
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Wed 07-Feb-2001.
Linear systems.
Week 6.
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Mon 12-Feb-2001.
Eigenvalue problems.
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Wed 14-Feb-2001.
Statistical description of data.
Week 7.
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Mon 19-Feb-2001. (Presidents Day, no classes.)
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Tue 20-Feb-2001.
Data modelling.
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Wed 21-Feb-2001.
Numerical differentiation.
Week 8.
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Mon 26-Feb-2001.
ODE's I: Initial boundary problems.
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Wed 28-Feb-2001.
Stiff differential equations.
Week 9.
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Mon 05-Mar-2001.
ODE's II: Boundary value problems; shooting methods.
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Wed 07-Mar-2001.
Relaxation methods.
Week i
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Mon 12-Mar-2001. (Spring break)
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Wed 14-Mar-2001. (Spring break)
Week 10.
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Mon 19-Mar-2001.
PDE's I: Overview (WK).
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Wed 21-Mar-2001.
Elliptic PDE's.
Week 11.
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Mon 26-Mar-2001.
Hyperbolic and parabolic PDE's (WK).
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Wed 28-Mar-2001.
PDE solvers in applications.
Week 12.
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Mon 02-Apr-2001.
Fourier Transforms.
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Wed 04-Apr-2001.
FFT's in multiple dimensions.
Week 13.
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Mon 09-Apr-2001.
Spectral applications.
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Wed 11-Apr-2001.
Optimal filtering and power spectrum estimation.
Week 14.
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Mon 16-Apr-2001.
Introduction to parallel computing.
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Wed 18-Apr-2001.
Parallel programming.
Week 15.
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Mon 23-Apr-2001.
Scientific and industrial applications I.
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Wed 25-Apr-2001.
Scientific and industrial applications II.
Final Exam/Project due date.
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bcb. updated 03-Jan-01.