Prerequisite Materials for Math 120A
  1. Proof Techniques
    This video reviews proof techniques including direct proof, proof by contradiction, contrapositive, proof by cases, and induction.

  2. Functions
    Covers the function properties of injective, surjective, and bijective including proving and disproving these properties.

  3. Equivalence Relations
    Reviews the three properties of equivalence relations and the connection between equivalence relations and partitions.

  4. Modular Arithmetic  
    Discusses the equivalence relation that give modular arithmetic with emphasis on the equivalence class definition and well-defined functions.

  5. Complex I
    Introduces complex numbers with a focus on polar form, multiplication, and visualization.

  6. Complex II
    A continuation of complex numbers including powers and roots of complex numbers as well as roots of unity.

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