This course introduces the mathematical concept of the function by extending students’ experiences with linear and quadratic relations. Students will investigate properties of discrete and continuous functions, including trigonometric and exponential functions; represent functions numerically, algebraically, and graphically; solve problems involving applications of functions; investigate inverse functions; and develop facility in determining equivalent algebraic expressions. Students will reason mathematically and communicate their thinking as they solve multi-step problems.
Course Code: MCR3U
Course Type: University
Prerequisite: Principles of Mathematics, Grade 10, Academic
Credit Value: 1
Unit 1: Characteristics of Functions, Polynomial & Rational
Students will be exposed to different functions and their characteristics to utilize the concept to analyse and solve problems.
Unit 2: Exponential Function
This unit introduce students to the formulas for compound interest and present value, and later understand real life problems like mortgage calculation or interest calculation.
Unit 3: Trigonometric Functions
This unit introduces students to the introduction to periodic functions, the sin and cosine functions, graphing sinusoidal functions, graphing the tangent functions application of sinusoidal function and the periodic properties of various models.
Unit 4: Discreet Functions
This unit introduces student to the linear growth and arithmetic sequences, exponential growth and geometric sequences, the general terms of sequences, recursion formulas, rational exponents and exponent laws, the sum of an arithmetic series and the sum of geometric series.