Foundations & Tools · Physics

Build the core tools you’ll use in all of Physics.

Start with units, vectors, graphs, and calculus-based tools — the foundation for Mechanics, Electricity & Magnetism, Waves, Thermal Physics, and Modern Physics.

Foundations & Tools topics

Core foundations in this track

Work through these in order for a strong base, or jump directly to the tools you need right now.

Start here
Units, Dimensions & Measurement
The language of physics: how quantities are defined, measured, and combined.
  • What is physics
  • Physical quantities & SI units
  • Derived units
  • Dimensional analysis
  • Precision, accuracy, and uncertainty
  • Significant figures
Core tool
Scalars & Vectors
Represent physical quantities in 2D and 3D so you can analyze real systems.
  • Scalars vs vectors
  • Vector components (2D & 3D)
  • Vector addition and subtraction
  • Unit vectors
  • Dot product (scalar product)
  • Cross product (introductory)
Core representation
Motion Graphs & Representations
Learn to read and create graphs that describe motion in time.
  • Position–time graphs
  • Velocity–time graphs
  • Acceleration–time graphs
  • Meaning of slopes and areas
  • Interpreting motion from graphs
Mathematical tool
Calculus Tools for Physics
Use derivatives and integrals to build motion and field models.
  • Derivatives in motion (v = dx/dt, a = dv/dt)
  • Integrals in motion (area under curves)
  • Using calculus to build motion equations
  • Simple modeling with differential equations
Skillset
Problem-Solving Strategies in Physics
A systematic approach you can reuse on any physics problem.
  • Identifying knowns and unknowns
  • Representing systems with diagrams
  • Modeling assumptions
  • Systematic multi-step problem solving
Practice
Practice & Exercises
Reinforce foundations with mixed problems and quick checks.
  • Units & dimensional analysis drills
  • Vector practice (components & operations)
  • Graph-reading and interpretation sets
  • Error, uncertainty & significant-figure exercises
  • Mini mixed sets connecting multiple tools
  • Exam-style data interpretation questions