STEM & Engineering
Mathematics, physics, chemistry, biology, and all engineering disciplines.
119 topics in this category
Acids and Bases
pH, Ka/Kb, buffers, Henderson-Hasselbalch, titrations, and acid-base theory.
Aerospace Engineering
The engineering discipline focused on designing, building, and testing aircraft, spacecraft, and related systems and technologies.
Algebra 2
CCSS-aligned Algebra 2 module focused on polynomial division, rational functions, and complex numbers with misconception diagnostics.
Has CalculatorAlgebra
The branch of mathematics that uses variables, symbols, and rules for manipulating equations to solve problems and describe general mathematical relationships.
Analytical Chemistry
The branch of chemistry focused on identifying, separating, and quantifying chemical substances using classical and instrumental techniques.
AP Precalculus
Learn how functions behave: shifts, stretches, growth, and repeating patterns. Built for calculus prep.
Astronomy
The scientific study of celestial objects, space, and the physical universe, exploring everything from nearby planets to the most distant galaxies and the fundamental laws governing the cosmos.
Astrophysics
The branch of physics that uses the laws of physics and chemistry to explain the birth, life, and death of stars, galaxies, and the universe itself.
Biochemistry
The study of chemical processes within and relating to living organisms, focusing on the structure and function of biomolecules such as proteins, nucleic acids, carbohydrates, and lipids.
Biology
Biology is the scientific study of life, covering topics from molecular processes within cells to the ecology of entire ecosystems, and providing the foundation for medicine, biotechnology, and environmental science.
Biomedical Engineering
An interdisciplinary field applying engineering principles to biology and medicine to develop technologies that improve human health.
Calculus-Based Kinematics
Apply derivatives and integrals to describe motion with calculus-based precision.
Has CalculatorCalculus — Math expr, Chain rule (extended)
The mathematical study of continuous change, including derivatives, integrals, and their applications across science and engineering.
Has CalculatorCalculus
The mathematical study of continuous change, including derivatives, integrals, and their applications across science and engineering.
Has CalculatorCapacitors and Dielectrics (AP Physics C: E&M) — Math expr (extended)
Capacitance, energy storage, series/parallel combinations, and dielectric materials for AP Physics C: E&M.
Capacitors and Dielectrics (AP Physics C: E&M)
Capacitance, energy storage, series/parallel combinations, and dielectric materials for AP Physics C: E&M.
Cell Biology
The study of cell structure, function, and behavior, examining how cells serve as the fundamental units of life in all organisms.
Cell Communication and Cell Cycle
How cells detect and respond to signals through reception, transduction, and response pathways, and how the cell cycle is regulated by checkpoints, cyclins, and CDKs to ensure accurate division.
Cellular Respiration
The metabolic process by which cells convert glucose and oxygen into ATP energy through glycolysis, the Krebs cycle, and the electron transport chain.
Chemical Engineering
The engineering discipline that applies chemistry, physics, and mathematics to design and optimize industrial processes for converting raw materials into useful products.
Chemical Equilibrium
Equilibrium constants, ICE tables, Le Chatelier principle, Ksp, and Q vs K.
Chemical Kinetics
Studies reaction rates, rate laws, activation energy, mechanisms, and catalysis.
Chemistry — Math expr, Mole moles (extended)
Chemistry explores the composition, structure, and transformations of matter at the atomic and molecular level, serving as the central science that connects physics, biology, and engineering.
Has CalculatorChemistry
Chemistry explores the composition, structure, and transformations of matter at the atomic and molecular level, serving as the central science that connects physics, biology, and engineering.
Has CalculatorCivil Engineering
The engineering discipline focused on designing, constructing, and maintaining infrastructure such as bridges, roads, dams, and buildings that form the backbone of modern civilization.
Computational Biology
An interdisciplinary field that uses algorithms, mathematical models, and computational techniques to analyze biological data and simulate biological systems.
Computer Engineering
The discipline that merges electrical engineering and computer science to design, build, and optimize computing hardware, firmware, and system architecttic.
Condensed Matter Physics
The study of how large assemblies of interacting particles produce emergent phases and properties such as superconductivity, magnetism, and topological order.
Conservation of Momentum
Conservation of momentum states that the total momentum of a closed system remains constant through any interaction, enabling analysis of collisions, explosions, and recoil using vector addition of mass-velocity products.
Data Engineering
The discipline of designing, building, and maintaining data pipelines and infrastructure that collect, store, transform, and serve data at scale.
Data Security and Privacy
The discipline of protecting digital information through encryption, access controls, data classification, and compliance with privacy regulations like GDPR and CCPA throughout the data lifecycle.
Developmental Biology
The study of how organisms grow from a single cell into complex multicellular forms, encompassing cell differentiation, morphogenesis, and pattern formation.
Differential Equations
Separable DEs, slope fields, Euler method, and exponential models for AP Calculus AB Unit 7.
Discrete Mathematics
The study of mathematical structures that are fundamentally discrete rather than continuous, forming the theoretical foundation of computer science and algorithm design.
DNA Replication
The process by which cells copy their DNA before division, using enzymes like helicase and DNA polymerase to produce two identical double helices from one original molecule.
Ecosystem Energy Flow
How energy enters ecosystems through producers, transfers through trophic levels with roughly 90 percent loss at each step, and ultimately exits as heat.
Electric Circuits
Electric circuits covers current, voltage, resistance, Ohm's law, series/parallel networks, Kirchhoff's laws, capacitors, RC circuits, and power dissipation at the AP Physics 2 level.
Has CalculatorElectric Forces and Fields
Electric forces and fields covers Coulomb's law, electric field concepts, field lines, superposition, electric potential, and Gauss's law at the AP Physics 2 level.
Has CalculatorElectrical Engineering
The engineering discipline focused on designing systems that use electricity, electronics, and electromagnetism, spanning power systems, microelectronics, signal processing, and telecommunications.
Electromagnetic Induction (AP Physics C: E&M) — Math expr, Expr math (extended)
Faraday s law, Lenz s law, inductance, RL circuits, and Maxwell s equations for AP Physics C: E&M.
Electromagnetic Induction (AP Physics C: E&M)
Faraday s law, Lenz s law, inductance, RL circuits, and Maxwell s equations for AP Physics C: E&M.
Electronics Engineering
The engineering discipline focused on designing circuits, semiconductor devices, and electronic systems that process signals and power modern technology.
Electrostatics (AP Physics C: E&M) — Math expr, Context topic (extended)
Calculus-based study of electric charges at rest, Coulomb's law, electric fields, Gauss's law, and electric potential -- the foundation of AP Physics C: Electricity and Magnetism.
Electrostatics (AP Physics C: E&M)
Calculus-based study of electric charges at rest, Coulomb's law, electric fields, Gauss's law, and electric potential -- the foundation of AP Physics C: Electricity and Magnetism.
Energy, Work, and Power — Work energy theorem, Power (extended)
Energy, work, and power describe how forces transfer and transform energy, connecting force and displacement to kinetic, potential, and thermal energy through conservation laws and the work-energy theorem.
Energy, Work, and Power
Energy, work, and power describe how forces transfer and transform energy, connecting force and displacement to kinetic, potential, and thermal energy through conservation laws and the work-energy theorem.
Engineering
The application of scientific and mathematical principles to design, build, and optimize structures, machines, systems, and processes that address real-world needs.
Has CalculatorEnvironmental Biology
The study of interactions between organisms and their environments, including how human activities affect ecosystems, biodiversity, and natural processes.
Environmental Chemistry
The study of chemical processes occurring in the environment, including the sources, reactions, transport, effects, and fates of chemical species in air, water, and soil.
Environmental Engineering
The application of scientific and engineering principles to protect the environment, manage pollution, treat water, and promote sustainable development.
Environmental Geology
The study of interactions between humans and the geological environment, focusing on natural hazards, resource management, pollution, and sustainable land use.
Environmental Physics
The application of physics principles to understand natural environmental processes including climate, energy transfer, fluid dynamics, and pollution.
Evolutionary Biology
The study of how populations of living organisms change over generations through processes such as natural selection, genetic drift, mutation, and gene flow.
Experimental Physics
The branch of physics focused on designing experiments, making precision measurements, and testing theoretical predictions through empirical observation.
Exponential and Logarithmic Functions
Exponential growth and decay, logarithmic functions, log properties, natural log, solving exponential equations, and real-world applications.
Has CalculatorFluid Mechanics
Study of fluid statics and dynamics including pressure, Pascal's principle, Archimedes' principle, buoyancy, Bernoulli's equation, and flow continuity.
Has CalculatorFriction & Forces
Understand how static and kinetic friction arise from surface contact, depend on the normal force, and connect to Newton's laws in real-world problems.
Gene Expression and Regulation
Transcription, translation, and the regulatory mechanisms that control when and how genes are expressed in prokaryotic and eukaryotic cells.
Genetic Engineering
The direct manipulation of an organism's DNA using biotechnology to add, remove, or alter genetic material for applications in medicine, agriculture, and industry.
Genetics
Genetics is the study of genes, heredity, and genetic variation in living organisms, encompassing topics from Mendelian inheritance and DNA structure to modern genomics, gene editing, and their applications in medicine and biotechnology.
Geology
The scientific study of Earth's composition, structure, and the dynamic processes that shape its surface and interior over geological time.
Geometry
The branch of mathematics that studies the properties, measurements, and relationships of shapes, spaces, angles, and dimensions, from basic Euclidean principles to advanced non-Euclidean and computational applications.
Geotechnical Engineering
The branch of civil engineering focused on the behavior of soil and rock, including foundation design, slope stability, and earth-structure interaction.
Immune Response
How the body defends itself through innate barriers, inflammatory responses, and adaptive immunity involving antibodies, B cells, T cells, and immunological memory.
Implicit & Inverse Differentiation
Chain rule for composites, implicit differentiation, inverse function derivatives, and higher-order derivatives for AP Calculus AB Unit 3.
Incident Response and Recovery
The structured discipline of detecting, containing, investigating, and recovering from cybersecurity incidents using frameworks like NIST, digital forensics techniques, and disaster recovery planning.
Infinite Sequences and Series
Convergence tests, Taylor/Maclaurin series, power series, error bounds for AP Calc BC.
Inorganic Chemistry
The study of the properties, structures, and reactions of inorganic compounds, including metals, minerals, coordination complexes, and organometallics.
Intermolecular Forces
London dispersion, dipole-dipole, hydrogen bonding, phase diagrams, and colligative properties.
Java Arrays and ArrayLists
Java array declaration, traversal, ArrayList operations, searching/sorting algorithms, and 2D arrays for AP Computer Science A.
Java Inheritance and Recursion
Java inheritance hierarchies, polymorphism, abstract classes, method overriding, and recursive problem-solving for AP Computer Science A.
Magnetic Fields and Forces (AP Physics C: E&M) — Math expr, Wire current (extended)
Biot-Savart law, Ampere s law, Lorentz force, and magnetic field calculations for AP Physics C: E&M.
Magnetic Fields and Forces (AP Physics C: E&M)
Biot-Savart law, Ampere s law, Lorentz force, and magnetic field calculations for AP Physics C: E&M.
Magnetism and Electromagnetic Induction
Magnetism and electromagnetic induction covers magnetic forces, fields from currents, Faraday's law, Lenz's law, and the foundations of electromagnetic waves at the AP Physics 2 level.
Has CalculatorManufacturing Engineering
The engineering discipline focused on designing, optimizing, and controlling the processes and systems that transform raw materials into finished products efficiently and at scale.
Marine Biology
The scientific study of ocean life, from microscopic plankton to massive whales, and the ecosystems, adaptations, and conservation challenges of the marine world.
Materials Engineering
The study and design of materials—metals, ceramics, polymers, composites, and semiconductors—by understanding how processing, structure, and properties determine real-world performance.
Mathematical Biology
An interdisciplinary field that uses mathematical models and computational techniques to describe, analyze, and predict biological processes, from molecular interactions to ecosystem dynamics.
Mathematics
The study of numbers, quantities, shapes, and patterns using logical reasoning and abstract structures, serving as the foundational language of science and technology.
Has CalculatorMechanical Engineering
The engineering discipline focused on designing, analyzing, and manufacturing mechanical systems by applying principles of physics, mathematics, and materials science.
Medicinal Chemistry
The science of designing, synthesizing, and optimizing chemical compounds for use as therapeutic drugs, integrating principles from organic chemistry, pharmacology, and biochemistry.
Metaphysics
The branch of philosophy that investigates the fundamental nature of reality, existence, causation, identity, and the structure of being.
Microbiology
The scientific study of microorganisms including bacteria, viruses, fungi, and protozoa, exploring their biology, ecology, and impact on human health and the environment.
Molecular Biology
The study of biological processes at the molecular level, focusing on DNA, RNA, and protein structures and their roles in gene expression and cellular function.
Neuroscience
Neuroscience is the scientific study of the nervous system, exploring how the brain and neural circuits produce behavior, cognition, and consciousness, with applications spanning medicine, psychology, and artificial intelligence.
Newton's Laws
Explore the three fundamental laws governing force, mass, and acceleration that underpin all of classical mechanics.
Nuclear Physics
The study of atomic nuclei, their constituents, and the forces governing nuclear reactions, radioactive decay, fission, and fusion.
Organic Chemistry
The study of carbon-containing compounds, their structures, reactions, and synthesis, forming the molecular foundation of life and modern chemical industry.
Oscillations and Gravitation
Analyze SHM with calculus, gravitational fields, orbits, and Kepler laws.
Parametric Equations, Polar Coordinates & Vector-Valued Functions
Parametric derivatives, polar area/arc length, vector motion for AP Calc BC.
Particle Physics
The study of the fundamental particles of the universe and the forces governing their interactions, anchored by the Standard Model.
AP Precalculus: Periodic Functions
AP-style periodic functions: amplitude, period, phase shift, midline, and modeling.
Petroleum Engineering
The engineering discipline concerned with the exploration, drilling, and production of oil and natural gas, applying principles of geology, fluid mechanics, and thermodynamics to optimize hydrocarbon recovery.
Physical Chemistry
The branch of chemistry that uses physics and mathematics to explain chemical behavior, covering thermodynamics, kinetics, quantum chemistry, and statistical mechanics.
Physics — Astronaut station, Electric measures (extended)
Physics is the study of matter, energy, and the fundamental forces of nature, encompassing everything from the motion of everyday objects to the behavior of subatomic particles and the structure of the cosmos.
Has CalculatorPhysics
Physics is the study of matter, energy, and the fundamental forces of nature, encompassing everything from the motion of everyday objects to the behavior of subatomic particles and the structure of the cosmos.
Has CalculatorPolynomial and Rational Functions
Polynomial zeros, multiplicity, end behavior, rational functions, asymptotes, and polynomial division for AP Precalculus.
Power Engineering
The engineering discipline concerned with the generation, transmission, distribution, and utilization of electric power and the design of associated electrical systems and equipment.
Projectile Motion
Projectile motion analyzes objects launched into the air by decomposing their movement into independent horizontal and vertical components governed by constant velocity and gravitational acceleration, respectively.
Quantum and Atomic Physics
Quantum and atomic physics covers the photoelectric effect, wave-particle duality, Bohr model, atomic spectra, and nuclear physics at the AP Physics 2 level.
Has CalculatorQuantum Mechanics
The fundamental theory of physics describing the behavior of matter and energy at atomic and subatomic scales, governed by wave functions, probability, and quantized energy levels.
Robotics
The interdisciplinary field combining mechanical engineering, electronics, and computer science to design, build, and program machines capable of performing tasks autonomously or with human guidance.
Rotational Mechanics
Apply calculus to torque, moment of inertia, angular momentum, and rolling motion.
Simple Harmonic Motion
Study of oscillatory motion including springs, pendulums, energy in SHM, damping, driven oscillations, and resonance.
Has CalculatorStatistical Inference Methods
Sampling distributions, confidence intervals, hypothesis tests, chi-square tests, and regression inference for the AP Statistics curriculum.
Statistics — Distribution continuous, Outliers interquartile (extended)
The science of collecting, analyzing, and interpreting data using descriptive measures, inferential methods, and probability theory to draw meaningful conclusions and inform decision-making.
Has CalculatorStatistics
The science of collecting, analyzing, and interpreting data using descriptive measures, inferential methods, and probability theory to draw meaningful conclusions and inform decision-making.
Has CalculatorStructural Engineering
The branch of civil engineering focused on analyzing, designing, and constructing structures that safely support loads and resist forces such as gravity, wind, and earthquakes.
System and Network Security
The practice of protecting computer networks and systems from unauthorized access, attacks, and disruptions through layered defenses including firewalls, IDS/IPS, VPNs, and security protocols.
Systems Biology
An interdisciplinary approach that studies biological systems as integrated networks of interacting molecules, cells, and organisms using computational modeling and high-throughput data.
Systems Engineering
An interdisciplinary engineering discipline focused on designing, integrating, and managing complex systems over their entire lifecycle, from requirements through operation and disposal.
Theoretical Chemistry
The branch of chemistry using mathematical models and quantum mechanical principles to explain molecular structure, chemical bonding, and reaction dynamics without relying solely on laboratory experiments.
Theoretical Physics
The branch of physics that uses mathematical models and abstract reasoning to explain natural phenomena, from quantum mechanics to cosmology.
Thermal Engineering
The engineering discipline focused on the generation, conversion, and transfer of thermal energy, applying thermodynamics, heat transfer, and fluid mechanics to design power systems, engines, and HVAC equipment.
Thermodynamics and Electrochemistry
Entropy, Gibbs free energy, spontaneity, galvanic/electrolytic cells, and Faraday law.
Thermodynamics
Thermodynamics studies the laws governing heat, work, temperature, and energy transfer, including entropy, heat engines, PV diagrams, and heat transfer mechanisms.
Has CalculatorTorque and Rotational Motion
Study of torque, rotational kinematics and dynamics, moment of inertia, angular momentum, and rolling motion for AP Physics 1.
Has CalculatorTransportation Engineering
The civil engineering discipline focused on designing, constructing, and maintaining transportation infrastructure including highways, railways, airports, and transit systems for safe and efficient movement of people and goods.
Water Resources Engineering
The engineering discipline focused on planning, designing, and managing systems for water supply, flood control, irrigation, stormwater management, and water quality protection.