Algebra Physics Complete Mastery Program

Master Algebra Physics — From Zero to Hero in 40 Weeks

The most comprehensive, research-based algebra physics program designed for students with no calculus background. Covers the entire AP Physics 1 + AP Physics 2 syllabus with 100% free digital tools, hands-on labs, and zero topic omissions.

Course Overview

Algebra Physics Complete Mastery is a rigorous, two-semester program that teaches introductory physics entirely through algebra and trigonometry. Built for high school students, homeschoolers, and adult learners, this course bridges the gap between "I've never done physics" and "I'm ready for AP Physics or college-level STEM."

• No calculus required: Only Algebra II & Geometry
• 25 fully-researched chapters: Zero topic gaps
• 100% free teaching tools: PhET, Physics Classroom, Khan Academy, HyperPhysics
• Hands-on labs: Using household items + smartphone sensors
• AP Physics Aligned: Covers AP Physics 1 & 2 curriculum

What You Will Learn

• Solve any 1D or 2D kinematics problem using the five kinematic equations
• Draw and analyze free-body diagrams for complex multi-object systems
• Apply Newton's Three Laws to inclined planes, pulleys, circular motion, and orbits
• Use conservation of energy and momentum to solve collision and explosion problems
• Analyze rotational motion, torque, and angular momentum
• Explain wave behavior, standing waves, and the Doppler effect mathematically
• Solve DC circuit problems using Ohm's Law and Kirchhoff's Rules
• Calculate electric fields, potentials, and capacitor energy
• Apply the laws of thermodynamics and ideal gas behavior
• Trace light rays through mirrors and lenses using the thin-lens equation
• Explain quantum phenomena: photoelectric effect, Bohr model, wave-particle duality
• Calculate radioactive decay, half-life, and nuclear binding energy
• Understand special relativity: time dilation, length contraction, E=mc²

Complete Module Breakdown (25 Chapters | 40 Weeks)

Semester 1: Mechanics, Fluids & Waves (20 Weeks)

Module 0 — Math Foundations for Physics (2 Weeks)

• Scientific notation, SI prefixes, unit conversions
• Algebraic manipulation, literal equations, inverse-square relationships
• Right-triangle trigonometry (SOH CAH TOA)
• Vectors: components, addition, resultant magnitude/direction

Module 1 — Introduction to Physics (1 Week)

• Scientific method, models vs. theories vs. laws
• SI units, dimensional analysis, uncertainty & error propagation
• Problem-solving methodology (GUESS method)

Module 2 — One-Dimensional Kinematics (2 Weeks)

• Position, displacement, velocity, acceleration
• Position-time, velocity-time, acceleration-time graphs
• Five kinematic equations for constant acceleration
• Free-fall motion, symmetry, g on other planets

Module 3 — Vectors & Two-Dimensional Kinematics (2 Weeks)

• Coordinate systems, component method
• Projectile motion: independence of horizontal/vertical motion
• Trajectory equation, time of flight, max height, range
• Uniform circular motion & relative velocity

Module 4 — Newton's Laws of Motion (2 Weeks)

• Newton's Three Laws & Free-body diagrams
• Complete force catalog: gravity, normal, friction, tension, spring
• Atwood machines, inclined planes, elevators, multi-body systems

Module 5 — Forces in Two Dimensions (1 Week)

• Equilibrium conditions: ΣFx=0, ΣFy=0
• Non-equilibrium with angled forces
• Advanced friction & Pulley systems

Module 6 — Work, Energy & Power (2 Weeks)

• Work: W=Fdcosθ, Work-Energy Theorem
• Kinetic energy & Gravitational/elastic potential energy
• Conservation of mechanical energy & Power

Module 7 — Linear Momentum & Collisions (1 Week)

• Momentum, impulse, force-time graphs
• Conservation of linear momentum
• Elastic, inelastic, perfectly inelastic collisions & explosions

Module 8 — Circular Motion & Gravitation (2 Weeks)

• Centripetal force sources & Vertical circular motion
• Newton's Law of Universal Gravitation
• Kepler's Three Laws & Orbital velocity

Module 9 — Rotational Motion & Torque (2 Weeks)

• Angular kinematics & Torque (τ=rFsinθ)
• Moment of inertia & Newton's Second Law for rotation
• Rotational kinetic energy & Angular momentum conservation

Module 10 — Simple Harmonic Motion (1 Week)

• SHM characteristics: amplitude, period, frequency
• Mass on spring & Simple pendulum equations
• Damped & driven oscillations, resonance

Module 11 — Mechanical Waves & Sound (2 Weeks)

• Wave types, Wave equation, behavior at boundaries
• Superposition, interference, standing waves
• Sound waves, Doppler effect, intensity

Module 12 — Fluid Mechanics (2 Weeks)

• Density, pressure, Pascal's principle
• Archimedes' Principle & buoyancy
• Ideal fluid flow, continuity equation, Bernoulli's equation

Semester 2: E&M, Thermodynamics, Optics & Modern Physics (20 Weeks)

Module 13 — Static Electricity & Charge (1 Week)

• Electric charge, conductors, insulators
• Coulomb's Law & superposition of electric forces
• Electric field lines & Faraday cages

Module 14 — Electric Potential & Capacitance (1 Week)

• Electric potential energy & voltage
• Equipotential surfaces
• Capacitors: capacitance, energy storage, dielectrics

Module 15 — Electric Circuits (2 Weeks)

• Current, resistance, Ohm's Law
• Series & parallel combination circuits
• Kirchhoff's Junction & Loop Rules
• RC circuits

Module 16 — Magnetism (2 Weeks)

• Magnetic poles & Earth's magnetic field
• Lorentz force on moving charges
• Magnetic field sources: wire, loop, solenoid

Module 17 — Electromagnetic Induction (1 Week)

• Magnetic flux, Faraday's Law, Lenz's Law
• Motional EMF & self-inductance
• AC basics & transformers

Module 18 — Temperature & Heat (1 Week)

• Temperature scales & thermal expansion
• Internal energy, specific heat, calorimetry
• Latent heat of fusion & vaporization

Module 19 — Thermodynamics (2 Weeks)

• Ideal Gas Law & kinetic theory of gases
• First Law of Thermodynamics & PV diagrams
• Second Law, entropy, Carnot efficiency

Module 20 — Reflection & Mirrors (1 Week)

• Law of reflection & plane mirrors
• Spherical mirrors: concave & convex
• Ray tracing & image characteristics

Module 21 — Refraction & Lenses (2 Weeks)

• Index of refraction, Snell's Law, dispersion
• Total internal reflection & fiber optics
• Thin lenses: converging & diverging, lens equation

Module 22 — Physical Optics (1 Week)

• Interference: Young's double-slit, thin films
• Diffraction & Diffraction gratings
• Polarization & Malus's Law

Module 23 — Quantum Physics (2 Weeks)

• Planck's quantum hypothesis & Photoelectric effect
• Wave-particle duality & de Broglie wavelength
• Atomic spectra & Bohr model

Module 24 — Atomic & Nuclear Physics (2 Weeks)

• Atomic structure, isotopes, nuclear forces
• Binding energy, mass defect, E=mc²
• Radioactivity (alpha, beta, gamma) & Half-life
• Nuclear fission & fusion

Module 25 — Special Relativity (1 Week)

• Postulates of special relativity
• Time dilation & length contraction
• Relativistic momentum & mass-energy equivalence

Free Tools & Resources Included (Zero Additional Cost)

Every student receives unlimited access to our curated toolkit:

• Simulations: PhET Interactive Simulations, Physics Classroom, HyperPhysics, oPhysics, Falstad Circuit Simulator
• Textbooks & Courses: OpenStax College Physics, Khan Academy Physics, CK-12 Physics, MIT OpenCourseWare
• Mobile Lab Tools: phyphox (Smartphone sensor suite), Physics Toolbox Suite, Tracker Software, Audacity
• Video Channels: Veritasium, MinutePhysics, Flipping Physics, Professor Dave Explains