# 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
- 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

### 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