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Grade 12 Calculus and Vectors
Calculus and Vectors, Grade 12, University Preparation

Note: The new Advanced Functions can be taken concurrently with or can precede Calculus and Vectors.

This course builds on students; previous experience with functions and their developing understanding of rates and of change. Students will solve problems involving geometric and algebraic representations of lines and planes in three dimensional space; broaden their understanding of rates of change to include the derivatives of polynomial, relationships, exponential, and sinusoidal functions; and apply these concepts and skills to the modeling 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 plan to study mathematics in university and who may choose to pursue careers in fields such as physics and engineering.

 
MCV Course Notes

Missed a day of classes? Catch up by looking at the notes from that day. To do this, you'll need to install the SMART Notebook Viewer, since these will be the notes captured from the SMARTBoard. Obviously, more will have been talked about in class, but it's a start...

09-001 Scalar vs Vector
09-002 Vector Addition
09-003 Vector Subtraction
09-004 Vector Multiplication by a Scalar
09-005 Cartesian Vectors
09-006 Modelling Velocity and Force
09-007 The Dot Product
09-008 Projection of Vectors
09-009 A Look at Assignment(s) 1 and Test 1
09-010 Introduction to Vectors in 3-Space
09-011 Operations in 3-Space
09-012 The Dot Product in 3-Space
09-013 The Cross Product
09-014 Properties of the Cross Product, Coplanarity Test
09-015 Revisiting the Equations of Lines in 2-Space
09-016 The Equations of Lines in 3-Space
09-016b Pg 144 #23
09-017 The Equation of Planes in 3-Space
09-018 Interaction of Lines and Planes
09-019 Interaction of 2 Planes
09-020 Interaction of 3 Planes
09-021 Matrices
09-022 The Derivative of a Function
09-023 The Derivative of a Polynomial Function
09-024 The Product Rule
09-025 The Quotient Rule
09-026 Composite Functions
09-027 Derivative of Composite Functions (The Chain Rule)
 
 


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