Calculus and Vectors

Limits and derivatives, curve sketching and optimization, plus geometric and algebraic vectors, lines, and planes.

Browse course units →✦ Try a guided homework demo

Course snapshot

Grade: 12
Pathway: University
Prerequisite: MHF4U before or concurrently

Sequence note

This is a current Ontario course code. A school may teach the strands in a different order. Math101 organizes shared lessons into a practical study sequence; it does not replace a school’s official course outline.

Course library

Units and connected Math101 lessons

Each topic opens the same central Math101 lesson, so notes stay consistent across courses instead of being copied into disconnected folders.

Rates of change and derivatives

LimitsFull lesson Derivative from First PrinciplesFull lesson Basic Differentiation RulesFull lesson Product RuleFull lesson Quotient RuleFull lesson Chain RuleFull lesson

Applications of derivatives

Critical PointsFull lesson First Derivative TestFull lesson ConcavityFull lesson Curve SketchingFull lesson OptimizationFull lesson

Vectors

Vectors in Two DimensionsFull lesson Vectors in Three DimensionsFull lesson Dot ProductFull lesson Cross ProductFull lesson

Lines and planes

Lines in Three DimensionsFull lesson Planes in Three DimensionsFull lesson Intersections of Lines and PlanesFull lesson