Math 111A, Algebra, Fall 2010

• Classes: MWF 9:30-10:40, Porter, Room 148.
• Instructor: Robert Boltje;
  Office: Baskin Engineering 365 C;
  Tel.: 459-5001;
  Email: boltje at ucsc dot edu;
  Office hours: T 8:30-10:00, F 11:00-12:30.
• Teaching Assistant: Philipp Perepelitsky;
  Office: Baskin Engineering 354;
  Email: pperepel at ucsc dot edu;
  Office hours: W 12:45 - 1:45 and Th 12 - 1, Baskin Engineering 354.
• Sections: M 11:00-12:10 in Baskin Engineering 302, and T 6:00-7:10 in Porter 249.
• Exams:
  Midterm: Friday, November 5, 9:30-10:40, Porter 148.
  Final Exam: Wednesday, December 8, 8:00-11:00am, Porter 148.
• Passing requirements: 50% of maximal overall score. The overall score is a combination of homework (weight 20%), midterm (weight 30%) and final (weight 50%).
• Textbook: I am not following any particular textbook. Instead, I'll use my own notes and post them on this page as we go along. If you want to use a text book on the side, I like Michael Artin's "Algebra". But be aware that the order and notation in this book differs from the ones in my notes.
• Lecture Notes
• Syllabus:
  Chapter 1: Prerequisites (Sets, functions, congruences)
  Chapter 2: Binary operations
  Chapter 3: Groups
  Chapter 4: Subgroups
  Chapter 5: Cyclic groups
  Chapter 6: Symmetric groups
  Chapter 7: Symmetry groups
  Chapter 8: Cosets and Lagrange's Theorem
  Chapter 9: Normal subgroups and factor groups
  Chapter 10: Isomorphism Theorems
  Chapter 11: Group action on a set
  Chapter 12: The Sylow Theorems
  Chapter 13: Solvable groups
  Chapter 14: The structure of finite abelian groups
  
• Homework Problems