Introduction to Higher Analysis and Algebra

Final Exam:

Final Exam (Due 11:59 p.m. 29 Aug EST)

Notes:

• Intro to Euclidean Space
  
• Topology Part 1
  
• Abstract Algebra 1
  
• Ring Homo-,Iso-,Auto- morphisms
  

Essay Topic:

Banach-Tarski Paradox

Due: 20 June 2020, Abstract Due: 27 May 2020

Worksheets:

• Worksheet 1
• Worksheet 2
  
• Worksheet 3
• Worksheet 4 (Due date extended to 21 June 2020)
  
• Worksheet 5 (Due date extended to 12 July 2020)
  
• Worksheet 6
  
• Worksheet 7 (New Deadline 11:59 p.m. 27 July)
  
• Worksheet 8 (Due date extended to 8 Aug 2020)
  
• Worksheet 9
  
• Worksheet 10
  

Worksheet Solutions:

• Worksheet 3 P1

Final Exam Review Guide:

• Review Guide
  

Additional Readings:

• Basics of Groups, Rings and Fields (Additional notes for Euclidean Space)
  
• First Order Logic Notes
  
• Set Theory Text (University of Waterloo) (Read Chapter 1 Topic 1, Chapter 5 all topics, Chapter 6 Topics 18,19, Chapter 7 Topic 22, Chapter 8 Topics 26,27, Chapter 9 Topic 30)
  
• Zermelo-Fraenkel Set Theory Axioms (Read Page 1-3)