MHF4U ADVANCED FUNCTIONS, University Preparation

Categories: GRADE 12
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About Course

This course builds on students’ knowledge of functions by exploring the properties of polynomial, rational, logarithmic, and trigonometric functions. It focuses on developing skills for combining functions, deepening understanding of rates of change, and effectively applying these concepts. Students will also enhance their proficiency in mathematical processes critical for success in advanced mathematics. Designed for students planning to take the Calculus and Vectors course as preparation for university programs, this course is equally valuable for those seeking to strengthen their mathematical foundation before pursuing various university pathways.
Prerequisite: Functions (Grade 11, University Preparation) or Mathematics for College Technology (Grade 12, College Preparation).

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What Will You Learn?

  • Function Types: Study polynomial, rational, exponential, logarithmic, and trigonometric functions. Learn to analyze their properties, transformations, and behavior.
  • Equations and Inequalities: Solve equations and inequalities involving advanced functions, including those with logarithms and trigonometric expressions.
  • Rates of Change: Explore average and instantaneous rates of change, preparing for calculus concepts.
  • Graphing and Modelling: Develop skills to graph functions and use them to model real-world scenarios, solving practical problems.
  • Mathematical Processes: Refine your problem-solving, reasoning, and communication skills to apply mathematics effectively in advanced contexts.

Course Content

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