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MHF4U-B  Advanced Functions

Course Code: MHF4U-B

Grade 12, University Preparation, 1.0 credit

This course extends students’ experience with functions. Students will investigate the properties of polynomial, rational, logarithmic, and trigonometric functions; develop techniques for combining functions; broaden their understanding of rates of change; and develop facility in applying these concepts and skills. Students will also refine their use of the mathematical processes necessary for success in senior mathematics. This course is intended both for students taking the Calculus and Vectors course as a prerequisite for a university program and for those wishing to consolidate their understanding of mathematics before proceeding to any one of a variety of university programs.


Ordering by Unit

Course units can be purchased individually.

Unit 1: Lessons 1-5

Lesson 1:
Exponents and Exponential Functions
Lesson 2:
Introduction to Logarithms
Lesson 3:
Graphs of Logarithmic Functions
Lesson 4:
Transformations of Exponential and Logarithmic Graphs
Lesson 5:
Exponential and Logarithmic Equations

Unit 2: Lessons 6-10

Lesson 6:
Graphing Polynomial Functions
Lesson 7:
Transformations of Polynomial Functions
Lesson 8:
Rational Functions
Lesson 9:
Factor Theorem
Lesson 10:
Solving Inequalities

Unit 3: Lessons 11-15

Lesson 11:
Trigonometry Review and Radian Measure
Lesson 12:
Graphing Trig Functions in Radians
Lesson 13:
Transformation of Trigonometric Functions
Lesson 14:
Introduction to Trigonometric Identities
Lesson 15:
Trigonometric Identities and Equations

Unit 4: Lessons 16-20

Lesson 16:
Rates of Change
Lesson 17:
Properties of the Tangent to a Curve
Lesson 18:
Combinations of Functions
Lesson 19:
Composition of Functions
Lesson 20:
Mathematical Modelling
This course has no additional items.
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