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HAVERGAL COLLEGE
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Uncalendar 2016–2017
Advanced Placement Calculus (AB)
MCV4UP
– Calculus And Vectors, Grade 12, University Preparation (Advanced Placement)
1 CREDIT
MHF4UP
– Advanced Functions, Grade 12, University Preparation (Advanced Placement)
1 CREDIT
This two-section course prepares students to write the AP Calculus (College Board, Calculus AB)
standardized exam in May. Due to the amount of content learned in a relatively short period of time,
this course is fast-paced. It is recommended for students who are strong independent learners and
love math. The course is taught similar to that of a first-year university course. Many colleges and
universities (especially in the United States) will offer a math credit to students who score well on the
College Board’s AP Calculus exam.
The Calculus section of this course addresses concepts taught in MHF4U (Advanced Functions), the
Calculus concepts taught in MCV4U (Calculus and Vectors), along with all Calculus concepts from the
AP Calculus (College Board) syllabus.
Program content:
•
Unit 1 – Characteristics of Functions (MHF4U)
•
Unit 2 – Rates of Change and Limits (MCV4U)
•
Unit 3 – Trigonometric Functions (MHF4U)
•
Unit 4 – Derivatives (MCV4U)
•
Unit 5a – Log Functions (MHF4U; Unit 5b Derivatives of Log Functions MCV4U ext)
•
Unit 6 – Applications of Derivatives (MCV4U)
•
Unit 7 – Differential Equations, Integrals and their Application (MHF4U ext)
The Vectors section of this course introduces students to algebraic and geometric vectors. You will
explore vector properties in two and three dimensions, learn about properties of lines and planes and
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. Program content:
Unit 1 Introduction to Vectors; Unit 2 Vector Applications; Unit 3 Equations of Lines and Planes; Unit 4
Points Lines and Planes.
This course is intended for students who choose to pursue careers in fields such as science,
mathematics, 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.
Prerequisite: MCR3U – Functions, Grade 11, University Preparation; Corequisite MHF4UP – Advanced Functions, Grade 12, University
Preparation (Advanced Placement)