1A SE

MATH135: Algebra for Honours Mathematics

I took this course in the fall of 2021 at the University of Waterloo. Here are the concepts I learned.

Link to course notes here.

Concepts Learned

• Set Theorys
• Mathematical Statements
  • Existential Quantifiers
  • Universal Quantifiers
• Conjunction and Disjunction
• De Morgan’s Laws (DML)
• Implications
• If and Only If
• Proofs
• Divisibility of Integers
• Axiom
• Induction
• Binomial Theorem
• Summation
• Product
• Recurrence Relation
• GCD
• Prime Numbers
• Linear Diophantine Equation
• Congruence and Modular Arithmetic
• Public-Key Cryptography

Extra

• Polynomial
• Cubic Formula

List for final Exam

• [[notes/Congruence and Modular Arithmetic#Congruence Classes and Modular Arithmetic|Congruence and Modular Arithmetic#Congruence Classes and Modular Arithmetic]]
• Public-Key Cryptography → Todo a blind problem
• Polynomial problems

Notes