Logic
|–> Connectives (Negation, Conjunction, Disjunction, Implication, Equivalence)
|–> Quantifiers (Universal quantifier, Existential quantifier)
Set theory
|–> Operations (Union, Intersection, Difference)
|–> Relations (Subset, Superset)
|–> Properties (Reflexive, Symmetric, Transitive)
|–> Number sets (Natural, Integer, Rational, Real, Complex)
Arithmetic
|–> Operations (Addition, Subtraction, Multiplication, Division)
|–> Rules (Commutative laws, Associative laws, Distributive laws)
|–> Sequences (Summation sequence, Product sequence)
Algebra
|–> Equations/Inequalities (Transformations)
|–> System of equations (Substitution, Elimination)
|–> Vector space (Linear combination, Scalar product)
|–> Matrices (Determinant, Eigenvalues, Inverse)
Analysis
|–> Properties (Boundedness, Monotonicity, Zeroes)
|–> Differential calculus (Extrema, Inflection points)
|–> Integral calculus (Curve, Surface, Volume integrals)
Geometry
|–> Objects (Point, Line, Plane, Solid)
|–> Properties (Distance, Angle, Area, Volume)
|–> Theorems (Pythagorean theorem, Sine laws, Cosine laws)
Statistics
|–> Combinatorics (Variation, Combination, Permutation)
|–> Probability (Distributions, Conditional probability)
|–> Statistics (Sampling, Null hypothesis, Error)
Numerics
|–> Numerical differentiation (FDM, FVM, FEM)
|–> Numerical integration (Trapezoidal rule, Simpson’s rule)