BACK TO HOME PAGE
BACK TO FRIDAYMATH.COM
LESSON NOTES FOR ADVANCED FUNCTIONS, GRADE 12, UNIVERSITY PREPARATION (MHF4U)
(Still under construction. Expected completion date: December 2022, all things being equal.)
Characteristics of polynomial functions
Graphs of polynomials in factored form
Polynomial division
The remainder and factor theorems
Solving polynomial equations
Applications of polynomial equations
Solving inequalities
More on solving inequalities
Transformations of polynomials
Families of polynomials
Odd and even functions
Rational functions of the form $\frac{1}{ax+b}$
Rational functions of the form $\frac{1}{ax^2+bx+c}$
Rational functions of the form $\frac{ax+b}{cx+d}$
Solving equations involving rational functions
Solving inequalities involving rational functions
Word problems involving rational functions
Introduction to logarithmic functions
Key features of logarithmic functions
Transformations of logarithmic functions
Laws of logarithms
Solving logarithmic equations
Solving exponential equations
Word problems involving exponential and logarithmic functions
Radian measure
Trigonometric ratios of any angle
Reciprocal trigonometric functions
Sinusoidal functions and their transformations
Solving problems involving sinusoidal functions
Compound angle formulas
Trigonometric identities
Linear trigonometric equations
Quadratic trigonometric equations
Average rate of change
Instantaneous rate of change
Solving problems involving rates of change
Characteristics of functions
Function arithmetic
Composition of functions
Word problems involving function arithmetic and composition