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Innocent HeartsSecondary School · Est. 2012
MHF4UGrade 12University Preparation1 credit

Advanced Functions

Mathematics · Grade 12 · University Preparation

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Course description

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.

Prerequisite

Functions, Grade 11, University Preparation (MCR3U), or Mathematics for College Technology, Grade 12, College Preparation (MCT4C)

MCR3U FunctionsMCT4C Mathematics for College Technology

Ways to take MHF4U

MHF4U opens the door to

  • MCV4UUniversity

    Calculus and Vectors

    Grade 12 · Mathematics

    This course builds on students’ previous experience with functions and their developing understanding of rates of change. Students will solve problems involving geometric and algebraic representations of vectors and representations of lines and planes in three dimensional space; broaden their understanding of rates of change to include the derivatives of polynomial, sinusoidal, exponential, rational, and radical functions; and apply these concepts and skills to the modelling of real-world relationships. Students will also refine their use of the mathematical processes necessary for success in senior mathematics. This course is intended for students who choose to pursue careers in fields such as science, engineering, economics, and some areas of business, including those students who will be required to take a university-level calculus, linear algebra, or physics course.

    Prereq: MHF4U

More Mathematics courses

  • MDM4UUniversity

    Mathematics of Data Management

    Grade 12 · Mathematics

    This course broadens students’ understanding of mathematics as it relates to managing data. Students will apply methods for organizing and analysing large amounts of information; solve problems involving probability and statistics; and carry out a culminating investigation that integrates statistical concepts and skills. Students will also refine their use of the mathematical processes necessary for success in senior mathematics. Students planning to enter university programs in business, the social sciences, and the humanities will find this course of particular interest.

    Prereq: MCR3U / MCF3M
  • MCT4CCollege

    Mathematics for College Technology

    Grade 12 · Mathematics

    This course enables students to extend their knowledge of functions. Students will investigate and apply properties of polynomial, exponential, and trigonometric functions; continue to represent functions numerically, graphically, and algebraically; develop facility in simplifying expressions and solving equations; and solve problems that address applications of algebra, trigonometry, vectors, and geometry. Students will reason mathematically and communicate their thinking as they solve multi-step problems. This course prepares students for a variety of college technology programs.

    Prereq: MCR3U / MCF3M
  • MAP4CCollege

    Foundations for College Mathematics

    Grade 12 · Mathematics

    This course enables students to broaden their understanding of real-world applications of mathematics. Students will analyse data using statistical methods; solve problems involving applications of geometry and trigonometry; solve financial problems connected with annuities, budgets, and renting or owning accommodation; simplify expressions; and solve equations. Students will reason mathematically and communicate their thinking as they solve multi-step problems. This course prepares students for college programs in areas such as business, health sciences, and human services, and for certain skilled trades.

    Prereq: MBF3C / MCF3M

About MHF4U

MHF4U questions.

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Is MHF4U from Innocent Hearts accepted by universities and colleges?

Yes. Innocent Hearts is inspected by the Ontario Ministry of Education (BSID 886638), so MHF4U earns a full Ontario credit that appears on your Ontario Student Transcript and is accepted by universities and colleges. We can also report your final mark to OUAC or OCAS.

How long does it take to complete MHF4U?

MHF4U includes 110 hours of instruction. In our four-term system you take it alongside one other course and finish in about ten weeks; summer and fast-track online options can be quicker.

Can I take MHF4U online or at night?

Yes. MHF4U can be taken full-time during the day, part-time on evenings and weekends, or through our online hybrid model with live classes. Summer availability varies by session — contact us to confirm dates.

What do I need to enrol in MHF4U?

You'll need proof that you've completed the prerequisite (Functions, Grade 11, University Preparation (MCR3U), or Mathematics for College Technology, Grade 12, College Preparation (MCT4C)) — usually a transcript or report card — plus proof of status in Canada.

Admissions open year-round

Ready to earn your MHF4U credit?

Term 2 begins November 16, 2026. Seats are limited by design — our classes stay small so every student is known.
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