## Course Overview

## MHF4U Advanced Functions 12

**MHF4U** This course extends students’ experience with advanced functions and prepare them for Calculus. 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, or Mathematics for College Technology, Grade 12, College Preparation**

**Reference: The Ontario Curriculum Grade 12:** http://www.edu.gov.on.ca/eng/curriculum/secondary/math1112currb.pdf#page=87

Curriculum provides the framework for the lessons. Contents will be flexible depending of the group of students in the class. Sample related videos provides an idea about the contents.

**Pricing**

- Monthly cost of the course is given for individual one-to-one sessions. There will be 8 classes per month. Flexible scheduled will be mutually discussed.
- Group classes are sometimes offered. You may check the website for
**Popular Group Math Programs**. - Fast Track program is available on request. We can prepare the students for an exam in limited time. You may fill the
**Registration Form**and discuss the possibilities.

**FAQs**

**Policy for Refund of Registration Fees.**

Students can drop in the first 30 minutes of the class and take the full refund. The class will then start after a break of 5 minutes for the next 30 minutes. No refund for the course will be given if the student continues to attend the first class beyond half-time.

**How do we teach and is it worth taking the course?**

You are the best person to answer this question. Internet is full of knowledge and there are many options open for you. Explore and then decide. We have provided links for few videos related to this course. They may help you to take a decision in our favour.

**Check the list of Sample Related Videos after the curriculum to get an idea about our classes.**

**Sample Video on Piecewise Functions: **

## Course Content

- Characteristics of Functions Copy
- Function Notation Copy
- MHF4U Advance Functions Video Copy
- Functions and Relations Video Copy
- Relations and Functions Foundation Video Copy
- Parent Functions Video Copy
- Domain and Range of Parent Functions Video Copy
- Transformation MHF4U Examples for Test Preparation Video Copy
- Parent Functions Worksheet Copy

- Polynomial and Rational Functions Copy
- Polynomial Characteristics Video Copy
- MHF4U Polynomials Characteristics Video Copy
- Quiz Polynomials Difficult Test Questions Video Copy
- Polynomials Equations Test Video Copy
- Polynomial Long and Synthetic Division Video Copy
- MHF4U Polynomials Division Remainder Theorem Video Copy
- Solve Polynomial Inequality and Reciprocal of Semicircle MHF4U Video Copy

- Reciprocal Function MHF4U Complete Concept Video Copy
- Application of Reciprocal Function Pizza Price Video Copy
- Characteristics and Sketch Rational Functions Video Copy
- Rational Equations and Applications Video Copy
- Rational Functions Difficult Applications and Inequalities Video Copy
- Application of Reciprocal Functions with Popular Test Examples Video Copy
- Rational Inequality Average Profit Video Copy
- Instantaneous and Average Rate of Change of Rational Function Video Copy
- Pizza Cost Rational Function Football Booster Application Video Copy
- Chocolate Factory Machine Rate Solve Rational Equation Application Video Copy
- Rational Equation Application Video Copy
- Rowing Speed Water Current Rational Function Application Video Copy
- Rational Function Quiz Copy

- Trigonometric Functions Copy
- Draw Angles given in Radian Measurements Video Copy
- Radian Measure Review Required Skills Video Copy
- Arc Length and Chord Length Radian Measure GCSE Level Video Copy
- Degree Conversion Sector and Segment Area Video Copy
- Arc Length Radius and Subtended Angle Video Copy
- Trigonometric Ratios of Acute Angles Video Copy
- Simplify Trigonometric Expressions Video Copy
- Corelated Cofunction Related Angle Video Copy
- Equivalent Trigonometric Ratios Video Copy
- Trigonometry Compound Angle Formula and Derivations Video Copy
- Compound Double Angle Trigonometry Copy
- Trigonometry Double and Half Angle Video Copy
- Trigonometry Part 2 Double and Half Angle Part -II Video Copy
- Half Angle Tangent Formula Derivation Video Copy
- Double angle and Half Angle Challenge tangent cosine and sine relations Video Copy
- Trigonometric Identities Video Copy
- Trigonometric Identities and Compound Angle Video Copy
- Trig Identities Review e Video Copy
- Review Trig Identity Part-II Video Copy
- Compound Double Angle Trigonometry Part 1 Copy
- Trigonometry Addition of Angle Compound Video Copy
- Graph Trigonometric Functions Video Copy
- Trigonometric Equations Video Copy
- Double Angle Assignment Video Copy
- Trig Double Angle Application Video Copy
- Trig Double Angle Application A3 Video Copy

- Sine Wave Characteristic Video Copy
- Sinusoidal Function Video Copy
- Equation of Tangent Video Copy
- Graph Tangent Function Video Copy
- Cosecant Functions Video Copy
- Graph Trigonometric Functions Video Copy
- Trigonometric Function Graph and Transform Video Copy
- Discover to Graph Secant Trigonometric Functions Video Copy
- Simple Harmonic Motion Wave Application Video Copy
- Solve Trigonometric Equations Video Copy
- Reference Angle to Evaluate Any Trigonometric Ratio Video Copy
- Trigonometric Equations Worksheet Video Copy
- How to Solve Trigonometric Equations Video Copy
- Solve Trigonometric Inequalities Video Copy
- Modelling Trigonometric Functions Video Copy
- Trigonometry Model Real Life Situation Applications Video Copy
- Trigonometry Model Distance of Train in Circular Track Video Copy
- Inverse Trigonometric Functions Video Copy

- Exponential and Logarithmic Functions Copy
- Sketch Transformed Exponential Function Video Copy
- Exponential Function Graph Video Copy
- Logarithmic Functions Video Copy
- Logarithmic Functions and Equations Video Copy
- Describe Transformation of Exponential Function Video Copy
- Sketch Transformed Exponential Function in Order of check The Graph with Image ideo Copy
- Logarithms Practice Test Video Copy
- Strategy to Solve Exponential Equations with Logarithms Video Copy
- Applications of Exponential and Logarithmic Functions Test Video Copy
- Find Sound Level of Concert Video Copy
- Develop Exponential Model Video Copy
- Test Logarithms and Exponential Functions MHF4 Video Copy
- Exponential Logarithmic Equations 2018 Test DSSSB Maths Video Copy
- IB MCR3U Test Logarithmic and Exponential Functions Video Copy
- Strategy to Solve Difficult Exponential and Logarithmic Video Copy
- Senior Challenge Series Exponential Equations Video Copy