Tutoring for MCV4U Calculus and Vectors University

This course is designed to give students a comprehensive study of the course offered in Ontario high school curriculum. The course emphasizes on common areas where students tend to struggle understanding, and includes many questions frequently asked in the classes.

Rate of Change

Rate of Change, Limits, Limit Properties, Piece-wise Functions, Continuity, First Principles (Difference Quotient), Derivatives, Leibniz Notation, Position, Velocity, Acceleration, Derivatives in Economics, Implicit Differentiation

Derivatives and their Applications

Increasing/Decreasing Intervals, Maxima/Minima (Extrema), Concavity and the Second Derivative, Simple Rational Functions, Optimization, Derivatives of Sinusoidal Functions, Derivatives of Exponential Functions, Logarithm Laws, Derivatives of Logs

Geometry and Algebra of Vectors

Vectors, Vector Addition, Relative Motion, Magnitude of a Vector, Unit Vectors, Drawing Vectors in 3-space, Properties of Vectors, Dot Product, Work, Vector Projections, Cross Product, Lines, Solving Systems of Lines, Distance Between Two Skew Lines, Planes, Intersection of a Line and a Plane, Intersection of Planes

Practices, Reviews and Practice Tests and a mock Exam are also included in this course.

Class A: 60 min with 1 teacher per 4 student group lesson

Class B: 90 min with 1 teacher per 6 student group lesson