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university levels of education Physics I — V

Five levels in one page, from a stone dropped off a wall to the binding energy of a nucleus — handmade, no ads, no sign-ups. One hundred topics and one thousand two hundred problems, every one of them carrying a full worked solution laid out step by step, a written lecture for every one of the hundred topics, and ten ways to study the same material. Start at whichever level you need; it is all one file, and the last entry opens the whole subject at once.

§ levels 6 live
  1. 001

    Physics I

    Motion, Vectors and Newton's Laws. Where mechanics begins and where the habits are formed. SI prefixes, significant figures, dimensional analysis and the compound conversions that catch everyone out. Then motion in a straight line: average speed against average velocity, acceleration and its signs, the four kinematic equations and how to choose between them, free fall and the vertical throw. Vectors resolved into components, perpendicular resultants, projectiles launched horizontally and at an angle, and relative velocity. Finally the three laws — the second law in all its rearrangements, weight against mass, connected bodies and tension, forces on an incline — closing on static and kinetic friction, uniform circular motion and the centripetal force a curve demands. Twenty-four topics, 288 problems. Every topic is a full lecture: a summary, sections of explanation including how the problems are solved and where they go wrong, a formula table, worked examples with the reason for every step, practice with hints, a quiz, defined terms, and three problems left unsolved for the reader — all typeset as real mathematics by KaTeX, readable one lecture at a time or as one continuous scroll.

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  2. 002

    Physics II

    Energy, Momentum, Rotation and Gravity. The conserved quantities and what they save you. Work with its cosine, kinetic and gravitational potential energy, conservation of mechanical energy and the shortcut it offers past any frictionless track, and power as both W over t and Fv. Momentum and impulse, then collisions perfectly inelastic and perfectly elastic, with the velocity exchange that equal masses perform. Rotation built as a complete parallel to linear motion: angular velocity and period, the angular kinematic equations, torque, and moment of inertia as rotational mass. Then gravitation — the inverse-square law, field strength, and the orbital speed at which falling becomes orbiting — and fluids at rest: density, pressure with depth, and Archimedes. Nineteen topics, 228 problems. Every topic is a full lecture: a summary, sections of explanation including how the problems are solved and where they go wrong, a formula table, worked examples with the reason for every step, practice with hints, a quiz, defined terms, and three problems left unsolved for the reader — all typeset as real mathematics by KaTeX, readable one lecture at a time or as one continuous scroll.

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  3. 003

    Physics III

    Oscillations, Waves and Thermodynamics. Things that repeat and things that spread. Hooke's law, the period of a mass on a spring and of a simple pendulum, and the energy that trades between elastic and kinetic twice a cycle. Then waves: the wave equation, speed on a stretched string, sound intensity on the decibel scale, and the Doppler shift for an approaching or receding source. Heat and temperature — the three scales, thermal expansion, specific heat capacity and the latent heat that changes state without moving a thermometer. Kinetic theory and the ideal gas law, Boyle and Charles, root-mean-square molecular speeds and internal energy. It closes on the first law of thermodynamics, the work done by an expanding gas, and the Carnot ceiling no engine can pass. Nineteen topics, 228 problems. Every topic is a full lecture: a summary, sections of explanation including how the problems are solved and where they go wrong, a formula table, worked examples with the reason for every step, practice with hints, a quiz, defined terms, and three problems left unsolved for the reader — all typeset as real mathematics by KaTeX, readable one lecture at a time or as one continuous scroll.

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  4. 004

    Physics IV

    Electricity and Magnetism. Charge at rest, then charge in motion. Coulomb's law and its kinship with gravitation, the electric field of a point charge, the force on a charge placed in a field, and the superposition that lets several sources be handled one at a time. Potential as energy per coulomb, the scalar field of a point charge, capacitance and the energy a capacitor stores. Then current: Ohm's law, resistors in series and parallel, electrical power in all three of its forms, and resistivity as the property behind the geometry. Magnetic forces on moving charges and on current-carrying wires, the field around a straight wire, the circular path a field bends a charge into, and finally flux, Faraday's law and the transformer that follows from it. Nineteen topics, 228 problems. Every topic is a full lecture: a summary, sections of explanation including how the problems are solved and where they go wrong, a formula table, worked examples with the reason for every step, practice with hints, a quiz, defined terms, and three problems left unsolved for the reader — all typeset as real mathematics by KaTeX, readable one lecture at a time or as one continuous scroll.

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  5. 005

    Physics V

    Optics, Relativity and the Quantum. Light as a ray first: Snell's law, total internal reflection and the critical angle, the mirror equation and thin lenses with their magnification. Then light as a wave: Young's double slit, the diffraction grating, thin-film interference and the single slit whose minima set the resolution of every instrument ever built. Special relativity through the Lorentz factor — time dilation, length contraction and the mass-energy equivalence. Then the quantum: photon energy, the photoelectric effect that made photons unavoidable, the de Broglie wavelength of matter and the Bohr levels that explain why atoms emit only certain colours. It ends at the nucleus, with mass defect and binding energy, half-life and activity. Nineteen topics, 228 problems. Every topic is a full lecture: a summary, sections of explanation including how the problems are solved and where they go wrong, a formula table, worked examples with the reason for every step, practice with hints, a quiz, defined terms, and three problems left unsolved for the reader — all typeset as real mathematics by KaTeX, readable one lecture at a time or as one continuous scroll.

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  6. 006

    The whole of physics

    All five courses in one reader — one hundred lectures across twenty-five chapters, from converting a kilometre into metres to computing the activity of a radioactive sample. Every lecture explains its topic in full: sections of prose with the mathematics typeset by KaTeX, a section on how the problems are solved and another on where they go wrong, a formula table, three worked examples with the reason for every step spelled out, four practice problems with hints and answers, a three-question quiz, defined terms, and three problems left unsolved for the reader to do on their own. Nineteen ways to study the same material, from a plain reading mode and a continuous view that carries a whole course end to end in one scroll, to drills, quizzes, flashcards, formula sheets, a searchable index, progress tracking and print. Forty-six colour palettes, twelve layouts and custom colours throughout.

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