Winter 2002

The class grades and final scores are listed here under the last 4 digits of your social security number.

Lectures: |
MWF 1:10-2:00pm, Olson 118 |

Discussion section: |
T 1:10-2:00pm, Olson 118 |

Instructor: |
Anne Schilling, Kerr Hall 578, phone: 754-9371, anne@math.ucdavis.edu |

Office hours: |
Monday, Friday 2-3:20 |

T.A.: |
Sunny Fawcett, Kerr 479,
fawcett@math.ucdavis.edu
Office hours: Tuesday 4-5 |

Pre-requisite: |
MAT 150A with a C- or better or consent of the instructor |

Text: |
Michael Artin, Algebra, published by Prentice Hall, 1991. |

Problem Sets: |
There will be weekly homework assignments, handed out on Wednesday, due
the following Wednesday.
You are encouraged to discuss the homework problems with other students. However, the homeworks that you hand in should reflect your own understanding of the material. You are NOT allowed to copy solutions from other students or other sources. No late homeworks will be accepted.
Solutions to the problems will be discussed in the discussion section.
This is also a good forum to get help with problems and to ask
questions! |

Exams: |
Midterm February 8, Final exam on Friday March 22, 1:30-3:30 pm
There will be no make-up exams! |

Grading: |
The final grade will be based on: Problem sets 20%, Midterm 30%, Final 50% |

Web: |
http://www.math.ucdavis.edu/~anne/WQ2002/150B.html |

Solutions: ps or pdf

Solutions: ps or pdf

Solutions: ps or pdf

Solutions: ps or pdf

Sunny figures (no pun intended): ps or pdf

Solutions: ps or pdf

Solutions: ps or pdf

Solutions: ps or pdf

Solutions: ps or pdf

Solutions: ps or pdf

Group actions

Stabilizers and orbits

The class equation of an action

Applications of G-set to counting

Conjugation

The Sylow Theorems

The orthogonal group O_n

Symmetry figures in R^2

The isometry group of R^2

Finite subgroups of Iso(R^2)

Discrete subgroups of Iso(R^2)

Finite subgroups of SO_3(R)

Definition of bilinear forms

Symmetric forms: orthogonality

Hermitian forms

The spectral theorem

The classical linear groups

The special unitary group SU_2

The orthogonal representations of SU_2

Group representations

G-invariant and unitary representations

Invariant subspaces and irreducibility

Characters

anne@math.ucdavis.edu