Topic |
Assignment in html |
Jupyter 3.x notebooks |
Solutions |
Due Date |
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html via nbviewer or pdf |
.ipynb |
html via nbviewer or pdf |
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Getting used to python. Variables, strings, arrays, functions and a few plots. |
Problem Set #1 |
Problem Set 1 notebook |
Solutions |
Due Monday Feb 8 (please upload your solutions to blackboard) |
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Iterations of a map of the unit interval onto itself, a Feigenbaum plot.
Precission in large sums.
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Problem Set #2 |
Problem Set 2 notebook |
Solutions |
Monday Feb 15 |
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Numerical precision with the Decimal package.
Chaotic attractor of the Baker map.
Computing a Lyapunov exponent.
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Problem Set #3 |
Problem Set 3 notebook |
Solutions |
Monday Feb 22 |
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Solving ordinary differential equations with scipy.integrate.odeint
or scipy.integrate.solve_ivp .
Scaling.
A python qubit class. Transformations of a qubit (geometric phase).
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Problem Set #4 |
Problem Set 4 notebook |
Solutions |
Monday Mar 1 |
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An Animation. The Kuramoto model for coupled oscillators.
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Problem Set #5 |
Problem Set 5 notebook |
Solutions |
Monday Mar 15 |
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Integrating some partial differential equations.
The Laplacian operator.
Reaction-Diffusion equations and pattern formation.
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Problem Set #6 |
Problem Set 6 notebook |
Solutions |
Monday Mar 22 |
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Random walks of drunken sailors near a ditch.
Violating the Central limit theorem with
heavy-tailed distributions;
Levy flights or anomalous diffusion.
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Problem Set #7 |
Problem Set 7 notebook |
Solutions |
Monday Mar 29 |
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Phase transitions and ferromagnetism with the Metropolis algorithm
and the 2d Ising model. |
Problem Set #8 |
Problem Set 8 notebook |
Solutions |
Monday Apr 5 |
| An introduction to Quantum Computing |
Problem Set #9 |
Problem Set 9 notebook |
Solutions |
Monday Apr 12 |
| A black box problem and a Quantum random walk in qutip |
Problem Set #10 |
Problem Set 10 notebook |
Solutions |
Monday Apr 19 |
| In class Final Project Presentations |
Final Project Assignment |
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Mon. May 3 or Wed. May 5
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| Final Project Write-up |
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Write-up: Friday May 14
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