Chemistry
Chemistry studies matter, its composition, properties, transformations, and the atomic and molecular interactions behind everyday materials and reactions.
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Statistical mechanics
Statistical mechanics explains macroscopic thermodynamics by using probability to describe the microscopic behavior of particles and energy.
Heat transfer
Heat transfer is the movement of thermal energy caused by temperature differences, through conduction, convection, radiation, or combinations of all three.
Entropy
Entropy is a measure connected to energy dispersal, microscopic possibilities, irreversibility, and uncertainty in physical and information systems.
Thermodynamics
Thermodynamics studies heat, work, temperature, entropy, and energy transfer in physical systems, from engines to stars to living cells.
Combinatorics
Combinatorics studies how objects can be counted, arranged, selected, grouped, and structured, often in finite or countable settings.
Abstract algebra
Abstract algebra studies operations and structures such as groups, rings, and fields, revealing patterns behind symmetry, equations, and number systems.
Differential equations
Differential equations describe systems by relating quantities to their rates of change, making them central to motion, growth, fields, waves, and feedback.
Discrete mathematics
Discrete mathematics studies countable structures such as sets, graphs, sequences, logical statements, and algorithms rather than continuous change.
Logic
Logic studies valid reasoning, using precise rules to analyze arguments, statements, proofs, truth, and consequence.
Statistics
Statistics turns data into evidence by describing variation, estimating unknown quantities, testing claims, and measuring uncertainty.
Probability
Probability studies uncertainty by assigning mathematical structure to random events, outcomes, likelihoods, and long-run patterns.
Calculus
Calculus studies change and accumulation, using limits, derivatives, and integrals to describe motion, growth, area, optimization, and continuous systems.
Linear algebra
Linear algebra studies vectors, matrices, and linear transformations, giving a compact language for equations, geometry, data, and computation.
Number theory
Number theory studies integers and the patterns behind divisibility, primes, remainders, equations, and arithmetic structure.
Set theory
Set theory studies collections of objects and gives mathematics a precise language for membership, comparison, infinity, and structure.
Topology
Topology studies properties of space and shape that survive continuous stretching, bending, and deformation without cutting or gluing.
Graph theory
Graph theory studies relationships as points connected by lines, turning networks, routes, dependencies, and choices into mathematical objects that can be analyzed.
Polio
Polio is a vaccine-preventable disease caused by poliovirus that usually causes no symptoms but can invade the nervous system and cause irreversible paralysis.
Smallpox
Smallpox was a deadly infectious disease caused by variola virus and remains the only human disease eradicated worldwide through vaccination and public-health action.
Mpox
Mpox is an infectious disease caused by monkeypox virus that can produce fever, swollen lymph nodes, and a painful rash or lesions, and it spreads mainly through close contact.
Long COVID
Long COVID is a group of new, returning, or ongoing health problems that can appear after SARS-CoV-2 infection and affect daily life for weeks, months, or longer.
COVID-19
COVID-19 is an infectious disease caused by SARS-CoV-2 that can range from a mild respiratory illness to severe pneumonia, organ injury, long COVID, or death.
Sepsis
Sepsis is a life-threatening medical emergency that happens when the body's response to infection injures its own organs and can progress to shock or death.
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