This course builds on students’ previous experience with functions and their developing understanding of rates of change. Students will solve problems involving geometric and algebraic representations of vectors and representations of lines and planes in three dimensional spaces; broaden their understanding of rates of change to include the derivatives of polynomial, sinusoidal, exponential, rational, and radical functions; and apply these concepts and skills to the modelling of real-world relationships. Students will also refine their use of the mathematical processes necessary for success in senior mathematics. This course is intended for students who choose to pursue careers in fields such as science, engineering, economics, and some areas of business, including those students who will be required to take a university-level calculus, linear algebra, or physics course.
Calculus and Vectors
Course Code: MCV4U
Course Type: University
Prerequisite: Advanced Functions, Grade 12, University Preparation (Pre or Co-requisite)
Credit Value: 1
Unit 1: Vectors
Students will learn about vector concepts, algebraic vectors to calculate dot and cross products.
Unit 2: Rates of Chang
Students will learn to determine rates of change, limit, differentiating power function, rational function and square root function.
Unit 3: Derivatives
Students will learn different derivative rules to calculate derivatives of a function
Unit 4: Differentiating Exponential and Logarithmic Functions
Students will learn derivative of; Natural Logarithm and its Derivative; Differentiating other Log and Exponential Functions; Models of Exponential Growth