Science Topics

In-depth guides to the science concepts students struggle with most - each with clear explanations, worked examples, and interactive calculators.

Quantum Mechanics

Explore the bizarre world of quantum physics - where particles behave like waves, electrons exist in superposition, and observation changes reality. From the Schrödinger equation to Heisenberg's uncertainty principle, quantum mechanics underpins all modern technology from lasers to semiconductors.

Wave-Particle Duality Schrödinger Equation Uncertainty Principle Quantum Tunneling
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Relativity

Einstein's revolutionary theories that redefined our understanding of space, time, and gravity. Special relativity shows why nothing travels faster than light and why moving clocks tick slower. General relativity reveals gravity as the curvature of spacetime itself - predicting black holes, gravitational waves, and the expanding universe.

Time Dilation E = mc² Length Contraction Spacetime
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Organic Chemistry

The chemistry of carbon compounds - from naming molecules to predicting reactions. Organic chemistry is the foundation of pharmaceuticals, plastics, fuels, and biochemistry. Master functional groups, reaction mechanisms, stereochemistry, and synthesis planning.

Functional Groups Reaction Mechanisms IUPAC Nomenclature Stereochemistry
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Electromagnetic Waves

From radio waves to gamma rays - the electromagnetic spectrum governs everything from your phone's WiFi to medical X-rays. Understand Maxwell's equations, wave properties, polarization, interference, and how light interacts with matter.

EM Spectrum Maxwell's Equations Interference Polarization
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Nuclear Physics

Inside the atomic nucleus - radioactive decay, nuclear fission and fusion, binding energy, and the physics of nuclear reactors and weapons. Understand half-life calculations, decay chains, mass-energy equivalence, and why the Sun shines.

Radioactive Decay Half-Life Fission & Fusion Binding Energy
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Fluid Mechanics

The physics of liquids and gases in motion - from blood flow in arteries to weather systems and aircraft design. Master pressure, buoyancy, viscosity, Bernoulli's principle, the Navier-Stokes equations, and the transition from laminar to turbulent flow.

Bernoulli's Principle Viscosity Turbulence Navier-Stokes
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Astrophysics

The physics of stars, galaxies, and the cosmos. From Kepler's laws of planetary motion to stellar evolution, black holes, and the Big Bang - astrophysics connects gravity, nuclear physics, and thermodynamics to explain the universe at its grandest scale.

Kepler's Laws Stellar Evolution Black Holes Cosmology
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Calculus Fundamentals

The mathematical language of change and accumulation - essential for every branch of science and engineering. Master limits, derivatives, integrals, the chain rule, and the fundamental theorem of calculus with clear visual explanations and step-by-step examples.

Limits Derivatives Integrals Chain Rule
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Probability & Statistics

The science of uncertainty - from coin flips to clinical trials. Learn probability distributions, Bayes' theorem, hypothesis testing, confidence intervals, and regression analysis. Essential for data science, research, and making informed decisions under uncertainty.

Distributions Bayes' Theorem Hypothesis Testing Regression
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Thermodynamic Cycles

The engines that power civilization - from car engines (Otto cycle) to power plants (Rankine cycle) and refrigerators. Understand PV diagrams, thermal efficiency, the Carnot limit, and why perpetual motion machines are impossible.

Otto Cycle Diesel Cycle Rankine Cycle Refrigeration
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Acoustics & Soundproofing

The complete engineering reference for architectural acoustics and soundproofing design. From reverberation time (RT60) and room modes to STC/IIC ratings, transmission loss, and noise criteria - covering studios, offices, auditoriums, and residential construction.

RT60 / Reverberation STC & IIC Ratings Room Modes Noise Criteria
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Calculator Topics

In-depth guides embedded within each calculator page - click to jump directly to any topic.

Physics

Newton's Laws Kinematics Energy & Momentum Waves Electricity Thermodynamics

Chemistry

Stoichiometry Solutions Acids & Bases Gas Laws Thermochemistry Atomic Structure

Electronics

Ohm's Law Series & Parallel Power & Energy Capacitors AC Circuits Semiconductors

Computer Science

Number Systems Boolean Logic Data & Storage Algorithms Networking Data Structures

Finance

Compound Interest Loans & Mortgages Investments Time Value of Money Business Finance Retirement

Date & Time

Calendars Date Math Time Zones Unix Timestamps Business Days Age & Duration

Aerodynamics

Lift & Drag Bernoulli Reynolds Number Mach & Shock Airfoils Wind Loads

Thermodynamics

Laws of Thermo Heat Transfer Gas Laws Heat Engines Entropy Phase Changes

Acoustics & Soundproofing

RT60 / Reverberation STC & IIC Ratings Room Modes Transmission Loss NRC / SAA Noise Criteria (NC)