## AP Calculus AB and Vectors

AP Calculus AB
From collegeboard.org:
"AP Calculus AB is roughly equivalent to a first semester college calculus course devoted to topics in differential and integral calculus. The AP course covers topics in these areas, including concepts and skills of limits, derivatives, definite integrals, and the Fundamental Theorem of Calculus. The course teaches students to approach calculus concepts and problems when they are represented graphically, numerically, analytically, and verbally, and to make connections amongst these representations. Students learn how to use technology to help solve problems, experiment, interpret results, and support conclusions."

This course includes the entire content of the Calculus and Vectors course (MCV4U1), as outlined below.

Calculus and Vectors (MCV4U1)
From The Ontario Curriculum, Grades 11 and 12, Mathematics (Revised):
"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 space; 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."

Review of Prerequisite Skills

Course
Units
And
Lessons

Prerequisites for Calculus
Limits and Continuity
Derivatives - Part 1
Applications of the Derivative
The Definite Integral
Differential Equations and L'Hôpital's Rule
Applications of Definite Integrals
Applications of Vectors
Relationships Between Points, Lines and Planes

Cumulative
Review And
Final Exam
Preparation

Getting Ready For The Final Exam
Review By Topic
Practice Exams
Other Cumulative Review Resources