Math 3700: Fall 2022

Email: callem “at” sas “dot” upenn “dot” edu

Office hours:  Wednesdays 6p-7p and Fridays 11a-12p in 4C1

Coffee (half) hours: Wednesdays 5:30p-6p and Fridays 10:30a-11a in 4C1

Sections: Tuesdays 7p-9p in DRL 3C2, Thursdays 7p-9p in DRL 3C8

Instructor: Sveta Makarova

Helpful links:

  • Math 3700 canvas
  • Textbook that I learned about proofs from (and where many of my examples/exercises come from)
  • A short guide to LaTeX
  • DeTeXify: draw the symbol and this program will suggest the TeX for it!
  • Write-up by Keith Conrad about the word problem in group theory

Notes from Recitation:

  • Week 1: No recitation
  • Week 2: Sets and functions (tues | thurs)
  • Week 3: Relations (tues | thurs)
  • Week 4: Euclidean algorithm and modular arithmetic (notes)
  • Week 5: Binary operations, monoids, intro to groups (notes)
  • Week 6: No recitation (midterm 1)
  • Week 7: Groups and subgroups (notes)
  • Week 8: Group homomorphisms (notes)
  • Week 9: Symmetric groups (notes)
  • Week 10: No recitation (midterm 2)
  • Week 11: Quotient groups and the 1st isomorphism theorem (notes)
  • Week 12: Short exact sequences and group presentations (notes)
  • Week 13: No recitation (Thanksgiving)
  • Week 14: Group actions and the Sylow Theorems (notes)
  • Week 15: Introduction to rings (notes)