Nosso método
Como ensinamos
Este curso foi feito para iniciantes completos — inclusive quem acha que é “ruim de matemática”. Estes são os princípios por trás de cada aula.
01
Intuição antes das equações
Cada aula começa com algo que você pode ver e manipular. A pesquisa em ensino de física (por exemplo, o trabalho por trás do PhET, na Universidade do Colorado) mostra que a exploração interativa constrói um entendimento que a aula expositiva sozinha não constrói.
02
Sempre responder "por quê"
Física não é uma lista de regras para decorar. Cada lei vem com o raciocínio por trás dela — os experimentos mentais de Galileu, as verificações de Newton, as analogias de Feynman — para que faça sentido, e não só pareça certa.
03
Preveja, depois revele
Pedimos que você se comprometa com uma previsão antes de mostrar a resposta. Errar primeiro é uma das formas mais eficazes de corrigir uma concepção equivocada.
04
A matemática como linguagem, ensinada do zero
O Módulo 0 começa em "o que significa =", e um curso complementar inteiro, Matemática para Física, ensina cada pedaço de matemática que as aulas usam. Cada fórmula tem um cartão símbolo por símbolo, uma frase para lê-la em voz alta e passos resolvidos revelados um de cada vez.
05
Honestos sobre os limites
Modelos são aproximações. Quando uma fórmula deixa de valer — como a do pêndulo em ângulos grandes — nossas simulações resolvem as equações exatas para você ver onde.
06
Citado e verificável
Cada aula lista suas fontes. Todas podem ser lidas de graça na internet, e o curso de matemática só cita material com licença livre para reutilização.
O código de cores
A mesma grandeza sempre tem a mesma cor — nas simulações, nos gráficos e nas fórmulas.
A Matemática para Física tem o seu próprio código, com o mesmo princípio:
Fontes
Tudo o que ensinamos aqui é consistente com estas referências.
- University Physics Vol. 1 — Ch. 2: VectorsOpenStax (Rice University)
- University Physics Vol. 1 — Ch. 1: Units and MeasurementOpenStax (Rice University)
- University Physics Vol. 1 — Ch. 3: Motion Along a Straight LineOpenStax (Rice University)
- University Physics Vol. 1 — Ch. 4: Motion in Two and Three DimensionsOpenStax (Rice University)
- University Physics Vol. 1 — Ch. 5: Newton's Laws of MotionOpenStax (Rice University)
- University Physics Vol. 1 — Ch. 6: Applications of Newton's Laws (friction)OpenStax (Rice University)
- University Physics Vol. 1 — Ch. 7: Work and Kinetic EnergyOpenStax (Rice University)
- University Physics Vol. 1 — Ch. 8: Potential Energy and Conservation of EnergyOpenStax (Rice University)
- University Physics Vol. 1 — Ch. 9: Linear Momentum and CollisionsOpenStax (Rice University)
- University Physics Vol. 1 — Ch. 13: GravitationOpenStax (Rice University)
- University Physics Vol. 1 — Ch. 15: OscillationsOpenStax (Rice University)
- University Physics Vol. 1 — Ch. 16: WavesOpenStax (Rice University)
- University Physics Vol. 1 — Ch. 10: Fixed-Axis RotationOpenStax (Rice University)
- University Physics Vol. 1 — Ch. 11: Angular MomentumOpenStax (Rice University)
- University Physics Vol. 1 — Ch. 12: Static Equilibrium and ElasticityOpenStax (Rice University)
- University Physics Vol. 1 — Ch. 14: Fluid MechanicsOpenStax (Rice University)
- University Physics Vol. 1 — Ch. 4.4: Uniform Circular MotionOpenStax (Rice University)
- University Physics Vol. 2 — Ch. 1: Temperature and HeatOpenStax (Rice University)
- University Physics Vol. 2 — Ch. 2: The Kinetic Theory of GasesOpenStax (Rice University)
- University Physics Vol. 2 — Ch. 4: The Second Law of ThermodynamicsOpenStax (Rice University)
- University Physics Vol. 2 — Ch. 5: Electric Charges and FieldsOpenStax (Rice University)
- University Physics Vol. 2 — Ch. 9: Current and ResistanceOpenStax (Rice University)
- University Physics Vol. 2 — Ch. 10: Direct-Current CircuitsOpenStax (Rice University)
- University Physics Vol. 1 — Appendix E: Mathematical FormulasOpenStax (Rice University)
- Feynman Lectures Vol. I, Ch. 8: MotionCaltech
- Feynman Lectures Vol. I, Ch. 9: Newton's Laws of DynamicsCaltech
- Feynman Lectures Vol. I, Ch. 10: Conservation of MomentumCaltech
- Feynman Lectures Vol. I, Ch. 11: VectorsCaltech
- Feynman Lectures Vol. I, Ch. 18: Rotation in Two DimensionsCaltech
- Feynman Lectures Vol. I, Ch. 39: The Kinetic Theory of GasesCaltech
- Feynman Lectures Vol. I, Ch. 44: The Laws of ThermodynamicsCaltech
- Feynman Lectures Vol. II, Ch. 4: ElectrostaticsCaltech
- Feynman Lectures Vol. II, Ch. 40: The Flow of Dry WaterCaltech
- Feynman Lectures Vol. I, Ch. 4: Conservation of EnergyCaltech
- Feynman Lectures Vol. I, Ch. 5: Time and DistanceCaltech
- Feynman Lectures Vol. I, Ch. 7: The Theory of GravitationCaltech
- Feynman Lectures Vol. I, Ch. 21: The Harmonic OscillatorCaltech
- Feynman Lectures Vol. I, Ch. 47: Sound. The Wave EquationCaltech
- HyperPhysics — concept map of mechanicsGeorgia State University
- HyperPhysics — Newton's LawsGeorgia State University
- HyperPhysics — TrajectoriesGeorgia State University
- HyperPhysics — Simple Harmonic MotionGeorgia State University
- SI UnitsNIST — U.S. National Institute of Standards and Technology
- The International System of Units (SI Brochure)BIPM
- The Apollo 15 Hammer-Feather DropNASA
- PhET: Equality ExplorerUniversity of Colorado Boulder
- PhET: Vector AdditionUniversity of Colorado Boulder
- PhET: Projectile MotionUniversity of Colorado Boulder
- PhET: Forces and Motion: BasicsUniversity of Colorado Boulder
- PhET: Energy Skate ParkUniversity of Colorado Boulder
- PhET: Collision LabUniversity of Colorado Boulder
- PhET: Gravity and OrbitsUniversity of Colorado Boulder
- PhET: Masses and SpringsUniversity of Colorado Boulder
- PhET: Balancing ActUniversity of Colorado Boulder
- PhET: Under PressureUniversity of Colorado Boulder
- PhET: BuoyancyUniversity of Colorado Boulder
- PhET: Fluid Pressure and FlowUniversity of Colorado Boulder
- PhET: Gas PropertiesUniversity of Colorado Boulder
- PhET: Energy Forms and ChangesUniversity of Colorado Boulder
- PhET: Coulomb's LawUniversity of Colorado Boulder
- PhET: Ohm's LawUniversity of Colorado Boulder
- PhET: Circuit Construction Kit: DCUniversity of Colorado Boulder
- HyperPhysics — Rotational MotionGeorgia State University
- HyperPhysics — FluidsGeorgia State University
- HyperPhysics — Heat and ThermodynamicsGeorgia State University
- HyperPhysics — Electricity and MagnetismGeorgia State University
- PhET: Wave on a StringUniversity of Colorado Boulder
- University Physics Vol. 2 — Ch. 11: Magnetic Forces and FieldsOpenStax (Rice University)
- University Physics Vol. 2 — Ch. 13: Electromagnetic InductionOpenStax (Rice University)
- University Physics Vol. 3 — Ch. 1: The Nature of LightOpenStax (Rice University)
- University Physics Vol. 3 — Ch. 2: Geometric Optics and Image FormationOpenStax (Rice University)
- University Physics Vol. 3 — Ch. 3: InterferenceOpenStax (Rice University)
- University Physics Vol. 3 — Ch. 5: RelativityOpenStax (Rice University)
- University Physics Vol. 3 — Ch. 6: Photons and Matter WavesOpenStax (Rice University)
- University Physics Vol. 3 — Ch. 10: Nuclear PhysicsOpenStax (Rice University)
- University Physics Vol. 3 — Ch. 11: Particle Physics and CosmologyOpenStax (Rice University)
- Feynman Lectures Vol. II, Ch. 13: MagnetostaticsCaltech
- Feynman Lectures Vol. II, Ch. 17: The Laws of InductionCaltech
- Feynman Lectures Vol. I, Ch. 26: Optics: The Principle of Least TimeCaltech
- Feynman Lectures Vol. I, Ch. 27: Geometrical OpticsCaltech
- Feynman Lectures Vol. I, Ch. 29: InterferenceCaltech
- Feynman Lectures Vol. I, Ch. 15: The Special Theory of RelativityCaltech
- Feynman Lectures Vol. I, Ch. 37: Quantum BehaviorCaltech
- HyperPhysics — Magnetic ForceGeorgia State University
- HyperPhysics — Faraday's LawGeorgia State University
- HyperPhysics — Refraction of LightGeorgia State University
- HyperPhysics — Thin Lens EquationGeorgia State University
- HyperPhysics — Double Slit InterferenceGeorgia State University
- HyperPhysics — Time DilationGeorgia State University
- HyperPhysics — Quantum PhysicsGeorgia State University
- HyperPhysics — Radioactive Half-LifeGeorgia State University
- HyperPhysics — Particles and the Standard ModelGeorgia State University
- The Standard ModelCERN
- Tour of the Electromagnetic SpectrumNASA
- Fields and Circuits (Light and Matter, book 4)Benjamin Crowell (CC BY-SA)
- Light and Matter — Optics chaptersBenjamin Crowell (CC BY-SA)
- Special RelativityBenjamin Crowell (CC BY-SA)
- Modern Physics (Light and Matter, book 6)Benjamin Crowell (CC BY-SA)
- Experimental Researches in Electricity, Vol. 1 (1839)Michael Faraday, via Project Gutenberg (Public domain)
- Opticks (1704)Isaac Newton, via Project Gutenberg (Public domain)
- Relativity: The Special and General Theory (1916)Albert Einstein, via Project Gutenberg (Public domain)
- Prealgebra — 4.1: Visualize FractionsOpenStax (Rice University) (CC BY 4.0)
- Prealgebra — 5.6: Ratios and RateOpenStax (Rice University) (CC BY 4.0)
- Prealgebra — 6.1: Understand PercentOpenStax (Rice University) (CC BY 4.0)
- Prealgebra — 6.5: Solve Proportions and their ApplicationsOpenStax (Rice University) (CC BY 4.0)
- Prealgebra — 9.3: Angles, Triangles and the Pythagorean TheoremOpenStax (Rice University) (CC BY 4.0)
- Prealgebra — 9.7: Solve a Formula for a Specific VariableOpenStax (Rice University) (CC BY 4.0)
- Elementary Algebra — 2.6: Solve a Formula for a Specific VariableOpenStax (Rice University) (CC BY 4.0)
- Elementary Algebra — 4.4: Understand Slope of a LineOpenStax (Rice University) (CC BY 4.0)
- Elementary Algebra — 4.5: The Slope–Intercept Form of a LineOpenStax (Rice University) (CC BY 4.0)
- Elementary Algebra — 8.7: Proportion and Similar Figure ApplicationsOpenStax (Rice University) (CC BY 4.0)
- Elementary Algebra — 10.3: The Quadratic FormulaOpenStax (Rice University) (CC BY 4.0)
- Algebra and Trigonometry — 1.2: Exponents and Scientific NotationOpenStax (Rice University) (CC BY 4.0)
- Algebra and Trigonometry — 1.3: Radicals and Rational ExponentsOpenStax (Rice University) (CC BY 4.0)
- Algebra and Trigonometry — 5.1: Quadratic FunctionsOpenStax (Rice University) (CC BY 4.0)
- Algebra and Trigonometry — 6.1: Exponential FunctionsOpenStax (Rice University) (CC BY 4.0)
- Algebra and Trigonometry — 6.3: Logarithmic FunctionsOpenStax (Rice University) (CC BY 4.0)
- Algebra and Trigonometry — 6.5: Logarithmic PropertiesOpenStax (Rice University) (CC BY 4.0)
- Algebra and Trigonometry — 6.7: Exponential and Logarithmic ModelsOpenStax (Rice University) (CC BY 4.0)
- Algebra and Trigonometry — 7.1: AnglesOpenStax (Rice University) (CC BY 4.0)
- Algebra and Trigonometry — 7.2: Right Triangle TrigonometryOpenStax (Rice University) (CC BY 4.0)
- Algebra and Trigonometry — 7.3: Unit CircleOpenStax (Rice University) (CC BY 4.0)
- Algebra and Trigonometry — 8.1: Graphs of the Sine and Cosine FunctionsOpenStax (Rice University) (CC BY 4.0)
- Precalculus — 12.1: Finding LimitsOpenStax (Rice University) (CC BY 4.0)
- Precalculus — 12.4: DerivativesOpenStax (Rice University) (CC BY 4.0)
- Active Calculus — 1.3: The Derivative of a Function at a PointMatt Boelkins, Grand Valley State University (CC BY-SA 4.0)
- Active Calculus — 4.1: Distance Traveled from VelocityMatt Boelkins, Grand Valley State University (CC BY-SA 4.0)
- Active Calculus — 4.2: Riemann SumsMatt Boelkins, Grand Valley State University (CC BY-SA 4.0)
- Calculus Made Easy (1914)Silvanus P. Thompson, via Project Gutenberg (Public domain)
- Elementary Algebra — 5.1: Solve Systems of Equations by GraphingOpenStax (Rice University) (CC BY 4.0)
- Elementary Algebra — 5.3: Solve Systems of Equations by EliminationOpenStax (Rice University) (CC BY 4.0)
- Precalculus — 8.8: Vectors (including the dot product)OpenStax (Rice University) (CC BY 4.0)
- College Physics — 1.3: Accuracy, Precision, and Significant FiguresOpenStax (Rice University) (CC BY 4.0)
- Newtonian Physics (Light and Matter, book 1): measurement, graphs and vectorsBenjamin Crowell (CC BY-SA)
- The First Six Books of the Elements of Euclid (Book I, Prop. 47: Pythagoras)Euclid, ed. John Casey, via Project Gutenberg (Public domain)