Duke College | McEducation
Duke College | McEducation
Tutoring for MCV4U Calculus and Vectors University
About Course
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