Calculus and Vectors – Grade 12

About This Course

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 power 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.

What you'll learn

  • Limits and continuity
  • Derivatives
  • Product and quotient rules
  • Chain rule
  • Implicit differentiation
  • Higher order derivatives and their applications
  • Optimization problems
  • Curve sketching
  • Derivatives of exponential and logarithmic functions
  • Derivatives of trigonometric functions
  • Vectors and their properties
  • Applications of vectors
  • Equations of lines and planes
  • Relationships between lines and planes

Course Sample Video


Dr. Khodabakhsh Hessami Pilehrood

Dr. Khodabakhsh Hessami Pilehrood is a professional mathematician who got his Bachelor degree in mathematics from Shahid Chamran University, Ahvaz, Iran, and his Master and Ph.D. degrees in mathematics from Moscow State University.

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Tuition Fees
  • One to One Training $ 40 /Per Hour
  • Group Training (2- 5 Students) $ 20 /Per Hour
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