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MHF4U3 - Advanced Functions, Grade 12, Pre-AP

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

MHF4U3 Pre-AP is different from MHF4U1 University-Preparation in that this is a rigorous course that serves as a precursor to Calculus AP.

During the first term, students use their previously mastered Algebra skills in real life situations. Operations and transformations are performed on these functions to produce other more complicated functions, which are also analyzed. Application of concepts is reinforced through math modeling. The use of math modeling technology and real world problems are incorporated on a regular basis. Properties of functions and relations are reviewed and the study of the circular, algebraic, exponential and logarithmic functions is extended. In the second term,this course continues the study of the properties of selected functions using both real and complex numbers. Limits of sequences and functions are studied in detail as a preparation for the calculus. An introduction to the derivative is made as a calculus preview incorporated through the course.

Prerequisite: 80% or above in Functions, Grade 11, Pre-AP and approval of Pre-AP Application. 75% or above in Functions, Grade 11, Pre-AP (MCR3U3).


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