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Before My First Lecture
A summary of the basic mathematical concepts and properties that are typically covered in secondary education.
This poster serves as a quick-reference bridge between secondary school mathematics and introductory statistics. It distils the foundational concepts a student is expected to be comfortable with before stepping into a first statistics lecture.
Topics Covered
Sets & Logic
- Set notation, union, intersection, complement
- Basic propositional logic and quantifiers
Algebra
- Exponents and logarithm rules
- Summation notation (Σ) and its properties
- Factorials and combinatorics
Functions
- Domain, range, and function composition
- Monotonicity, inverses
- Common functions: polynomial, exponential, logarithmic
Calculus Essentials
- Limits and continuity
- Derivatives: rules and common forms
- Integrals: definite and indefinite, key techniques
Probability Foundations
- Sample space, events, probability axioms
- Conditional probability and independence
- Combinatorial counting