Mcv4u1 - Study guides, Class notes & Summaries

Grade 12 Calculus and Vectors Unit 7 Notes on Cartesian Vectors. Topics including scalar multiplication, dot product, properties of dot product, application of dot product, work, scalar/vector projections, vectors in 3 space, collinear vectors, cross product in 3 space, applications of cross product, torque, and volume of a parallelepiped.

Grade 12 Calculus and Vectors Unit 3 on Curve Sketching. Includes topics ranging from increasing and decreasing functions, maxima and minima, concavity and the second derivative test, simple rational functions, and optimization.

Grade 12 Calculus and Vectors Unit 2 Notes on Derivatives. Topics ranging from power rule, constant rule, the constant multiple rule, the sum and difference rule, velocity/ second derivative, the chain rule, and the quotient rule.

Grade 12 Calculus and Vectors Unit 6 Notes on Geometric Vectors. Include topics varying from scalars, vectors, true bearings, quadrant bearings, triangle law of addition, parallelogram law of addition, vector properties, vector properties for scalar multiplication, linear combination of vectors, equilibrium, relative motion, and position/force diagrams.

Grade 12 Calculus and Vectors Unit 8 Notes on Lines and Planes. Topics including vector equation of a line (1/2/3 space), parametric equation of a line (different spaces), scalar equation of a line, equation of planes, and intersection of lines in 2/3 space.

Grade 12 Calculus and Vectors Unit 1 Notes on the Rate of Change. Includes topics from the rates of change and the slope of a line, rates of change using equations, the difference quotient, limits, indeterminate form, continuity/discontinuity, types of discontinuity, the derivative, and first principles.

Grade 12 Calculus and Vectors Unit 4 Notes on Derivatives of Sinusoidal Functions. Include topics ranging from the derivative of sine to the derivative cosine.

Grade 12 Calculus and Vectors Unit 5 Notes on Exponential and Logarithmic Functions