Advanced Functions

Polynomial, rational, logarithmic, exponential, and trigonometric functions, with transformations, equations, and rates of change.

Browse course units →✦ Try a guided homework demo

Course snapshot

Grade: 12
Pathway: University
Prerequisite: MCR3U

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.

Polynomial functions

Polynomial FunctionsFull lesson Factor TheoremFull lesson Remainder TheoremFull lesson Polynomial InequalitiesFull lesson

Rational functions

Rational ExpressionsFull lesson Rational FunctionsFull lesson Rational EquationsFull lesson Rational InequalitiesFull lesson

Exponential and logarithmic functions

Exponential FunctionsFull lesson Logarithmic FunctionsFull lesson Exponential EquationsFull lesson Logarithmic EquationsFull lesson

Trigonometric functions

Trigonometric IdentitiesFull lesson Sum and Difference IdentitiesFull lesson Double Angle IdentitiesFull lesson Solving Trigonometric EquationsFull lesson

Characteristics and rates of change

Function TransformationsFull lesson Inverse FunctionsFull lesson Average Rate of ChangeFull lesson Instantaneous Rate of ChangeFull lesson