Havergal's Uncalendar, 2016-2017 Academic Year

MCR3U

– Functions, Grade 11, University Preparation

1 CREDIT

This course explores the characteristics and properties of functions. You will investigate and apply

transformations that were applied to quadratic functions to a variety of different functions including

square root, absolute value, reciprocal, inverse, polynomial, exponential, logarithmic and trigonometric.

You will develop some understanding of the mathematics associated with the financial applications

of sequences and series. As well, you will refine your use of mathematical processes necessary for

success in problem-solving. You will apply these skills to various real-life situations such as how

to maximize the area created with a certain amount of fencing, minimize the cost of producing

products or determining simple interest and many other applications. This MCR3U course serves as a

prerequisite for Grade 12 Mathematics courses; those students who excel in MCR3U may also consider

AP Stats or AP Calculus.

It is recommended that most students wishing to enrol in Calculus and Vectors do so in their Senior Year. Students wishing to select

this course prior to Senior Year must consult with the Mathematics Department and must have the required prerequisite courses.

Prerequisite: MPM2D – Principles of Mathematics, Grade 10, Academic

GRADE 12

MCV4U

– Calculus and Vectors, Grade 12, University Preparation

1 CREDIT

The first part of this course introduces students to algebraic and geometric vectors. You will explore

vector properties in two and three dimensions, properties of lines and planes, and you will apply your

knowledge to solve a wide variety of vector problems in two and three dimensions. These applications

involve velocity and force, the concept of deductive proof, for example, with a strong focus on the

strategies involved in solving problems. The second part of this course builds on your knowledge of a

variety of functions to explore rates of change, derivatives and the application of derivatives. You will

learn how to apply derivatives to solve problems involving motion, optimization problems (involving, for

example, maximum volume, minimum cost, least time) and sketching curves. 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. This course can only be taken after or concurrently with MHF4U

Advanced Functions.

Prerequisite: MCR3U – Functions, Grade 11, University Preparation; MHF4U – Advanced Functions, Grade 12, University Preparation

must be taken prior to or concurrently with MCV4U – Calculus And Vectors, Grade 12, University Preparation