Prerequisite Materials for Math 120A
- Proof Techniques
This video reviews proof techniques including direct proof, proof by contradiction, contrapositive, proof by cases, and induction.
- Functions
Covers the function properties of injective, surjective, and bijective including proving and disproving these properties.
- Equivalence Relations
Reviews the three properties of equivalence relations and the connection between equivalence relations and partitions.
- Modular Arithmetic
Discusses the equivalence relation that give modular arithmetic with emphasis on the equivalence class definition and well-defined functions.
- Complex I
Introduces complex numbers with a focus on polar form, multiplication, and visualization.
- Complex II
A continuation of complex numbers including powers and roots of complex numbers as well as roots of unity.