Grade 12 Calculus & Vectors

Ontario Math Curriculum


Introductions to Calculus


Derivatives of Exponential and Logarithmic Functions

Curve Sketching

Derivative Applications

Introductions to Vectors

Vector Applications

Equations of Lines and Planes

Relationship between Points, Lines, and Planes

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.


At Math Doctor, we make math fun.  Our instruction is aligned with the student’s learnings in school.  We also have the ability to teach ahead or to re-teach key foundational concepts from the past.  A lot of us have achieved incredible academic success and accolades, and we’re excited to share tips and strategies that have worked for us.  We also have access to past unit tests and examinations to help students excel on these key assessments.  Give us a try today.    


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