Advanced Functions (MHF4U): Mastering Functions for University Success
Strengthen Your Mathematical Foundation with MHF4U

The MHF4U – Advanced Functions course is designed to extend students’ knowledge of mathematical functions, preparing them for university-level studies. This Grade 12 course focuses on developing an in-depth understanding of polynomial, rational, logarithmic, and trigonometric functions. Students will refine their problem-solving skills, learn to analyze complex functions graphically and algebraically, and apply these concepts to real-world scenarios.
This course is ideal for students planning to take Calculus and Vectors (MCV4U) as a prerequisite for university programs or those looking to strengthen their mathematical proficiency before entering various university disciplines. By the end of the course, students will have mastered critical mathematical processes necessary for success in higher education.
Key Learning Areas in MHF4U
- Exponential and Logarithmic Functions: Understand the relationship between exponential and logarithmic expressions, evaluate logarithms, and apply logarithmic laws to solve real-world problems.
- Trigonometric Functions: Explore radian measure, trigonometric ratios, and function graphs while solving trigonometric equations and proving identities.
- Polynomial and Rational Functions: Identify key features of polynomial and rational functions, solve related equations and inequalities, and make algebraic and graphical connections.
- Characteristics of Functions: Analyze and compare different types of functions, determine rates of change, and solve complex mathematical problems.
The course is structured into eight units covering polynomial, rational, trigonometric, exponential, and logarithmic functions, culminating in a final exam. Over 110 hours, students will engage in interactive lessons, problem-solving exercises, and real-world applications to develop a deep understanding of mathematical functions.
What Toronto Global Academy Can Do?
At Toronto Global Academy, we provide an engaging and supportive online learning experience for students enrolled in MHF4U. Our structured curriculum ensures students build a strong mathematical foundation while benefiting from the flexibility of online learning. With experienced instructors available for guidance, interactive course materials, and personalized learning plans, we help students navigate complex mathematical concepts with confidence. Our goal is to equip students with the analytical skills needed to succeed in university-level mathematics and future academic pursuits. Whether a student is preparing for a specialized university program or aiming to enhance their overall math proficiency, Toronto Global Academy provides the necessary tools and support to help them excel.
Additional Resources:
For more details about MHF4U or enrollment information, reach out to us today: