Basic Math

You DO NOT need to be a math whiz to be an amazing programmer. A good understanding of Discrete Structures and Logic is almost all the math you need. Being a programmer is more of a mindset then anything else. If you have a basic understanding of pre-algebra, then these tasks shouldn't be to difficult. If you have any questions, please feel free to reach out to us.

1. Sets and Relations

• Universal Set
• Subset
• Proper Subset
• Union
• Intersection
• Absolute Complement
• Relative Complement
• Symmetric Difference
• Performing Set Math
• Cartesian Product
• Power Set
• Relations
• Reflexive
• Irreflexive
• Symmetric
• Asymmetric
• Transitive

2. Sum Rule

3. Product Rule

4. Pigeonhole Principle

5. Basic Logic

• Proposition
• Compound Proposition
• Conjunction
• Disjunction
• Negation
• Symmetric Difference
• Conditional
• Bi-Conditional
• Truth Tables
• Tautologies
• Contradiction
• Contrapositive
• Converse
• Inverse
• Logical Equivalency
• Validity of Propositional Logic
• Syllogism
• Rules of Inference
• Modus Ponens
• Modus Tollens
• Generalization
• Specialization
• Elimination
• Transitivity
• Division into Cases
• Fallacy
• Converse Error
• Inverse Error

6. Proof Techniques

• Direct Proof
• Proof by Contradiction

7. Logical Fallacies and Biases

• Biases in computer science

8. Computer Data

• Integer
• Floating Point
• Base 10
• Base 16
• Base 8
• Base 2
• Convert any Base to another Base
• Addition and Subtraction with Signed Integers
• Addition and Subtraction with Unsigned Integers
• Decimal
• Hexadecimal
• Octal
• Binary
• Bit
• Nibble
• Byte
• Word
• Double Word
• Quad Word
• Ascii
• Unicode
• Integer Overflow
• Floating Point Layout