Calculus & Vectors
//
MCV4U
This course builds on Advanced Functions to prepare you for university math. The two halves, (differential) calculus and vectors, are very different. Calculus is more algebraic and abstract, while vectors is more visual and geometric.

Rates of Change
What is a limit?
Evaluating limits
Continuity
First principle of calculus
Derivatives & Applications
What is a derivative?
Differentiation rules
Trigonometric functions
Exponential functions
Implicit differentiation
Optimization
Curve Sketching
Value, slope, & concavity
Critical points & key points
Curve sketching strategy
Geometry & Algebra of Vectors
Scalars & vectors
Addition & subtraction
Scalar multiplication
Vector spaces
Standard basis
Spanning sets
Coplanarity
Dot product
Cross product
Scalar & vector projection
Direction cosines
Geometric applications
Equations of lines
Line–line intersection
Equations of planes
Line–plane intersection
Plane–plane intersection
Shortest distance
Matrices & linear systems
Systems of three planes