\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage{enumitem} \usepackage{hyperref} \setlist[itemize]{leftmargin=2em} \begin{document} \section{Mathematics} \subsection{Elementary Math} System can perform arithmetic operations on underspecified values to determine parity, sign, or other qualities of an expression without knowing exact values. \begin{itemize} \item Arithmetic \item Fractions \item Percentages \end{itemize} \subsection{Algebra} Algebra studies variables within number systems and the operations acting on numbers and symbols. \subsection{Geometry} Geometry studies properties of figures and the underlying space. \begin{itemize} \item Plane Geometry \item Solid Geometry \item Coordinate Geometry \item Geometric Transformations \item High-Dimensional Geometry \item Packing \& Covering Programs \item Curves \& Surfaces \item Polyforms \item Topology \item Tilings \end{itemize} \subsection{Plotting} Plotting and graphing visualize the behavior of mathematical functions. \begin{itemize} \item Functions \item Equations \item Parametric Plots \item Inequalities \item Number Lines \item Polar Plots \end{itemize} \subsection{Calculus} Calculus studies rates of change and measures such as length, area, and volume. \begin{itemize} \item Integrals \item Derivatives \item Limits \item Sequences \item Products \item Series Expansions \item Sums \item Vector Analysis \item Integral Transforms \item Applications of Calculus \item Continuity \item Domain \& Range \end{itemize} \subsection{Differential Equations} Equations involving functions and their derivatives, including ordinary (ODE) and partial (PDE) differential equations. \subsection{Statistics} Statistics involves collection, analysis, and exposition of data. \begin{itemize} \item Descriptive Statistics \item Statistical Inference \item Regression Analysis \item Random Variables \end{itemize} \subsection{Functions} A function is a relation between a set of inputs (domain) and possible outputs (codomain). \begin{itemize} \item Domain \& Range \item Injectivity \& Surjectivity \item Continuity \item Periodic Functions \item Odd \& Even Functions \item Special Functions \item Number-Theoretic Functions \item Representation Formulas \end{itemize} \section{Science \& Technology} \subsection{Physics} Physics studies features of the universe, from natural to manmade phenomena. \begin{itemize} \item Mechanics \item Oscillations \& Waves \item Statistical Physics \item Thermodynamics \item Electricity \& Magnetism \item Optics \item Relativity \item Nuclear Physics \item Quantum Physics \item Particle Physics \item Astrophysics \item Physical Constants \item Physical Principles \item Physical Effects \item Fluid Mechanics \end{itemize} \subsection{Chemistry} Study of matter from atoms and ions to biomolecules. \subsection{Units \& Measures} Conversion and analysis of standard scientific and everyday measurement systems. \subsection{Engineering} Engineering concerns design, construction, analysis, and maintenance of systems using scientific and mathematical principles. \begin{itemize} \item Aerospace Engineering \item Energy Data \item Electrical Engineering \item Control Systems \item Mechanical Engineering \item Civil Engineering \item Fluid Mechanics \item Sound \& Acoustics \item Steam Tables \item Measurement Devices \end{itemize} \subsection{Computational Sciences} Computational theory and algorithmic structures. \begin{itemize} \item Cellular Automata \item Substitution Systems \item Turing Machines \item Computational Complexity \item Algebraic Codes \item Fractals \item Image Processing \item Hashing \end{itemize} \subsection{Earth Sciences} Study of Earth and its atmosphere, including geology, geodesy, oceanography, and climatology. \subsection{Life Sciences} Study of living organisms from molecular to organismal levels. \begin{itemize} \item Human Anatomy \item Animal Anatomy \item Neuroscience \item Genomics \item Molecular Biology \item Animals and Plants \end{itemize} \subsection{Space \& Astronomy} Study of phenomena and technology beyond Earth's atmosphere. \section{Society \& Culture} \subsection{People} Biographical and demographic analysis of notable individuals and public figures. \subsection{Arts \& Media} Exploration of music, films, comics, sculptures, paintings, and related media. \subsection{History} Generation of timelines, monetary value analysis, and comparison of historical events, inventions, and conflicts. \begin{itemize} \end{itemize} \subsection{Words \& Linguistics} Computational and structural analysis of language. \begin{itemize} \item Word Properties \item Languages \item Document Length \item Notable Texts \item Transliterations \item Morse Code \item Soundex \item Character Encodings \item Emotions \end{itemize} \subsection{Money \& Finance} Analysis of monetary trends and financial instruments. \begin{itemize} \item Stock Data \item Mortgages \& Loans \item Salaries and Wages \item Bonds \item Derivative Valuation \item Income Tax \item Sales Tax \end{itemize} \subsection{Dates \& Times} Scientific and historical information about dates, calendars, and time systems. \subsection{Food \& Nutrition} Nutritional data and dietary guidelines for foods. \subsection{Demographic \& Social Statistics} Statistical analysis of populations and societies. \begin{itemize} \item Health Care Statistics \item Age \& Sex Demographics \item Gender Equality \item Business Statistics \item Citizenship Statistics \item Crime Statistics \item Education Statistics \item Income \& Employment \item Language Demographics \item Race \& National Origin \item Marriage Statistics \item Geographic Mobility \item Religion \item Military Data \item Human Development Index \end{itemize} \section{Everyday Life} \subsection{Personal Health} Nutritional data, exercise calculators, and growth tracking. \begin{itemize} \item Physical Exercise \item Food and Nutrition \item Child Growth \& Development \end{itemize} \subsection{Personal Finance} Financial computation and economic projections. \begin{itemize} \item Mortgages \& Loans \item Stock Data \item Currency Conversion \item Cost of Living \item Gasoline Price \item Food Price \item Electricity Price \end{itemize} \subsection{Entertainment} Data on music, films, artworks, and cultural productions. \subsection{Household Science} Applications of scientific reasoning to everyday environmental and physical phenomena. \subsection{Household Math} \subsection{Programming} \subsection{Hobbies} Algorithms and data for recreational activities and personal projects. \subsection{Today's World} Timely statistics on global and national conditions. \begin{itemize} \item World Economy \item Finland Economy \item Weather \end{itemize} \end{document}