Fall 2001

Click here for the grades.

Lectures: |
MWF 1:10-2:00pm, Young 184 |

Discussion section: |
T 1:10-2:00pm, Young 184 |

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

Office hours: |
Monday, Wednesday 10-11, Friday 11-12 |

T.A.: |
Maya Ahmed, Kerr Hall 577,
ahmed@math.ucdavis.edu
Office hours: Tuesdays 3-4pm, Thursdays 3-4pm |

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 November 2, Final exam during the final exam period
(December 10-15)
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/FQ2001/150A.html |

Solutions by Maya: pdf

Solutions by Maya: pdf

Solutions by Maya: pdf

Solutions by Maya: pdf

Solutions by Maya: pdf

Solutions by Maya: pdf

Solutions by Maya: pdf

Solutions by Maya: pdf

Solutions pdf

Solutions will be discussed in class on December 7 ps or pdf

Matrices

Permutations and permutation matrices

The definition of a group

Subgroups

Homomorphisms

Isomorphisms

Cosets

Products of groups

Quotient groups

Modular arithmetic

Real and complex vector spaces

Abstract fields

Bases and dimensions

Computations with bases

Direct sums

The dimension formula

The matrix of a linear transformation

Eigenvectors

The characteristic polynomial

Orthogonal matrices and rotation

Diagonalization

anne@math.ucdavis.edu