Spring 2005

(subject to change)

The calculations for the energy of a vector field.

Date | Topic |

1/24 | Introductory Comments and Multivariable Calculus Review - Carl |

1/26 | Explanation of Research Problem/What Does the Energy of a Vector Field Mean? |

1/31 | Approaches to Minimization/Maximization Problems - Nathan |

2/2 | Calculations of Energy and Discussion of Results |

2/7 | Examples of Calculus of Variations Problems - Dan |

2/9 | Methods to Deal With the Infinite Energy of Our Vector Fields |

2/14 | Euler-Lagrange Equation - Monroe |

2/16 | More Vector Field Examples and Possible Ways to Parametrize Them |

2/21 | Constrained Problems - Emily |

2/23 | More Calculations and Discussion of Minimizers |

2/28 | More Constrained Problems - Carl |

3/2 | A Strange Vector Field Example |

3/7 | Spring Break-No Class |

3/9 | Spring Break-No Class |

3/14 | Extermal Surfaces - Nathan |

3/16 | Looking at the PDEs Euler-Lagrange Gives Us |

3/21 | More Extremal Surfaces - Dan |

3/23 | We Have Some PDE Solutions |

3/28 | Let's Talk About These New PDE Solutions |

3/30 | We Have Some Answers |

4/4 | Using Euler-Lagrange in Physics Settings - Monroe |

4/6 | Assessing What We Want To Do Now |

4/11 | More Discussion of Physics and Hamilton's Principle - Emily |

4/13 | A Field Trip to See What the Other Vigre PFUGs Do |

4/18 | Research |

4/20 | The Nonexistence of Smooth Nonzero Vector Fields on the Sphere |

4/25 | ?? |

4/27 | Research |