Curriculum graph
Learning paths
Choose a coherent route through connected ideas. Paths branch where understanding does.
OrientationFoundationsCore ConceptsMethodsApplications
- 1Algebraic Expressions Preserve Structure
- 2Linear Equations Express Balance
- 3Graphs Turn Relationships into Geometry
- 4Functions Organize Input and Output
OrientationFoundationsCore Concepts
- 1Functions: Machines, Maps, and Relationships
- 2Why Limits Matter
- 3Continuity: When Nearby Inputs Stay Nearby
- 4Derivatives Measure Local Change
OrientationFoundationsCore ConceptsMethodsApplications
- 1Curve Fitting: From Data to Model
- 2Least Squares Finds the Closest Model
- 3Residual Plots Reveal How a Model Fails
- 4RMSE Expresses Typical Error in Response Units
OrientationFoundationsCore ConceptsMethodsApplications
- 1Ordinary Differential Equations Describe Evolving Systems
- 2First-Order ODEs Model Growth, Decay, and Balance
- 3Second-Order ODEs Govern Oscillation and Motion
- 4Systems of ODEs Track Interacting Quantities
OrientationFoundationsCore Concepts
- 1Velocity Is Change with Direction
- 2Newton’s Second Law Connects Force to Motion
- 3Energy Is Nature’s Accounting System
OrientationFoundations
- 1Electrons Shape Chemical Behavior
- 2Why Atoms Bond