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Ontario Grade 12 Math Tutorials

Calculus and Vectors 4U (Monthly Subscription) (MCV4U)


Description
This is a tutorial for the Ontario Grade 12 Calculus and Vector 4U course (MCV4U).
This course is sold as a monthly subscription.
The monthly subscription cost is $29.99 plus Ontario HST (13%) = $33.89
Content
  • Welcome to Boost! (Calculus & Vectors)
  • 1.1 Rationalizing Denominators
  • 1.2 Limits and Their Properties
  • 1.3 Evaluating Limits
  • 1.4 Continuity
  • 1.5 Introduction to Derivatives
  • 1.6 Derivatives of Rational and Radical Functions
  • 1.7 Applying Derivatives
  • 2.1 Derivatives of Polynomial Functions (Power Rule)
  • 2.2 Differentiability
  • 2.3 Chain Rule (Derivatives of Composite Functions)
  • 2.4 Product Rule
  • 2.5 Quotient Rule
  • 2.6 Applications of Derivatives
  • 3.1 Absolute Maxima / Minima
  • 3.2 Optimization: Area & Volume
  • 3.3 Optimization: Profit & Revenue
  • 3.4: Optimization: Distances & Times
  • 3.5 Position, Velocity & Acceleration
  • 4.1 Increasing & Decreasing Functions
  • 4.2 Critical Points (Local Max & Min)
  • 4-3 Concavity & Points of Inflection
  • 4.4 Horizontal & Vertical Asymptotes
  • 4.5 Curve Sketching Algorithm
  • 4.6 Sketching Derivatives and Second Derivatives
  • 5.1 Derivatives of Exponential Functions
  • 5-2 Derivatives of Logarithmic Functions
  • 5.3 Derivatives of Trigonometric Functions
  • 5.4 Curve Sketching with Exponential, Logarithmic & Trig Functions
  • 5.5 Applications of Exponential, Logarithmic and Trig Functions
  • 6.1 Introduction to Vectors
  • 6.2 Vector Addition and Subtraction
  • 6.3 Scalar Multiplication of Vectors
  • 6.4 Properties of Vectors
  • 6.5 Operations with Algebraic Vectors in 2 Dimensions
  • 6.6 Vectors in 3 Dimensions
  • 6.7 Spanning Sets
  • 7.1 Vectors as Forces
  • 7.2 Velocity as a Vector
  • 7.3 Dot Product of Geometric Vectors
  • 7.4 Dot Product of Algebraic Vectors
  • 7.5 Scalar & Vector Projections
  • 7.6 Cross Product of Vectors
  • 7.7 Applications of Dot Product & Cross Product
  • 8.1 Vector and Parametric Equations of Lines in 2 Dimensions
  • 8.2 Cartesian Equations of Line & Normal Vector in 2-Dimensions
  • 8.3 Lines in 3-Dimensions
  • 8.4 Vector and Parametric Equations of a Plane
  • 8.5 Cartesian Equation of a Plane
  • 9.1 Intersection of 2 Lines or a Line and a Plane
  • 9.2 System of Equations and Matrices
  • 9.3 Intersection of 2 Planes
  • 9.4 Intersection of 3 Planes
  • 9.5 Distance From a Point to a Line or Plane
Completion rules
  • All units must be completed
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