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Courses We Offer |
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Functions, MCR3U, University Preparation
This course will introduce students to various different functions by extending their knowledge on linear and quadratic functions. Students will investigate properties of discrete and continuous functions, trigonometric and exponential functions and the inverse of functions. They will learn how to solve applications of functions as well as represent functions algebraically, numerically, and graphically.
Prerequisite: Principles of Mathematics, Grade 10, Academic
Advanced
Functions, MHF4U, University Preparation
This course will continue to build on the students’ knowledge of functions. The students will study polynomial functions, how to graph them, and their characteristics. Students will further develop their factoring skills by learning how to factor polynomials of degree three and higher. They will learn how to graph rational functions by looking at asymptotes and intercepts. Radians, compound angle formulas and double angle formulas will help build on the students’ knowledge of trigonometry. Students will be introduced to the logarithmic function and will learn the properties of logarithms. Using logarithms the students will be taught how to solve exponential equations and how to solve growth and decay problems. Finally we will cover performance operations with functions, including composition.
Prerequisite: Functions, Grade 11, University Preparation or Mathematics for College Technology, Grade 12, College Preparation
Calculus and Vectors, MCV4U, University Preparation
This course will introduce the students to Differential Calculus and Vectors. Students will learn the properties of limits and how to evaluate them both graphically and algebraically. Students will learn what a derivative is, and how to find the derivative of polynomial, rational, exponential, sinusoidal and logarithmic functions. The students will be asked to apply their knowledge of derivatives to graphing, optimization, and to other real life applications. In addition, students will be introduced to both geometric and algebraic vectors in both two and three dimensions. Students will then be taught how to perform elementary operations with vectors, including dot product and cross product. They will learn how to apply vectors to a series of applications including force, area of shapes and velocity questions. Students will learn different ways to represent lines and planes in three space. Students will then learn how to find the intersection of lines with lines, lines with planes, and planes with planes.
Prerequisite or co requisite: Advanced Functions, Grade 12, University Preparation
Mathematics of Data Management, MDM4U, University Preparation
This course will help students to organize, display and to interpret data. The student will build on their knowledge of the measures of central tendency and learn about the spread of data. Students will learn how to analyze two variable statistics and how this can be used to perform studies in the real world. Students will learn how to perform their own studies by picking an appropriate sampling technique and ensuring they do not introduce bias. Learning the fundamental counting principle, permutations and combinations will help the student perform organized counting. Students will be introduced to probability, odds, mutually exclusive events and dependent versus independent events. They will learn about various probability distributions including the binomial, hyper geometric and normal distribution. Using the normal distribution, the students will learn how to perform a hypothesis test and create confidence intervals.
Prerequisite: Functions Grade 11, University Preparation or Functions and Relations, Grade 11, University/College Preparation
English, Grade 12, University Preparation
This course combines the skills of oral communication, reading and literature studies, writing, and media studies. All of these components are necessary for students’ future academic success. Students will learn to interpret, analyze, and organize information from assigned texts. They will then further their ranges by creating oral, written and media presentations in a variety of different forms. Language will be an important focus, as well as reading strategies for texts and other course materials. This course will ultimately teach students to improve their command of the English language, and enhance their control in writing techniques.
Prerequisite: English, Grade 11, University Preparation |
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