The most fundamental language of the universe. It’s really quite beautiful in that way.
Basic Concepts and Foundations
- Basic Math Assumptions
- Co-domain
- Functions with Relation to Sets
- Prime Vs Composite
- Proofs
- Proof by Contradiction
- Proof by Induction
- Proof by Contraposition
- Relations
- Set Theory
Algebra
- Fundamentals of Algebra and Calculus
- Gaussian Elimination
- ILP
- Quotient Remainder Theorem
- Rational Analysis
- Rational Number
- System of Linear Equations
Calculus
- Calculating Arc Length
- Calculus
- Calculus Continuity
- Concavity
- Implicit Differentiation
- Improper Integrals
- Integration
- Integration by Parts
- L’Hopital’s Rule
- Limits
- Local Extrema
- Point of Inflection
- Rate of Change
- Riemann Sums
- Rules of Calculus
- Solids of Revolution
- Symmetry in Calculus
- Taylor Series
Differential Equations
Probability and Statistics
- Binomial Distribution
- Binomial Random Variables
- Central Limit Theorem
- Chebyshev’s Inequality
- Confidence Interval Estimation
- Confidence Intervals
- Conditional Probability
- Discrete Maths and Probability (DMP)
- Fundamental Principal of Counting
- Handy Probability Axioms or Properties
- Percentiles of a Distribution
- Point Estimation
- Probability
- Probability Distributions - PMF vs PDF vs CDF vs More
- Pseudorandom
- Random Sampling
- Random Variable (Probability)
- Sample Mean
- Sample Median
- Sample Space
- Statistics
- Variance and Standard Deviation
Combinatorics
- Combinations
- Fundamental Principal of Counting
- n Choose r Notation
- Permutations
- Principal of Inclusion-Exclusion
Series and Sequences
Mathematical Proofs and Logic
- Comparison Theorem
- Disproof By Counter Example
- Implication (Logic)
- Proofs
- Proof by Contradiction
- Proof by Induction
- Proof by Contraposition
- Squeeze Theorem