## Course Overview

**Overview**

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, 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

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

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

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

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

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