Fournisseur désigné d’éducation à distance de l’Ontario

Centre d’études indépendantes

Renseignements sur les cours

Tous les cours de 12e année

Calculus and Vectors - MCV4U

Code du cours CEI : MCV4U-B

12e année, University Preparation, 1,0 crédit

Cours préalable
Advanced Functions (MHF4U-C)

Description de cours

In this course, you will build on your previous experience with functions and your developing understanding of rates of change. You will solve problems involving geometric and algebraic representations of vectors and representations of lines and planes in threedimensional space; broaden your understanding of rates of change to include the derivatives of polynomial, sinusoidal, exponential, rational, and radical functions; and apply these concepts and skills to the modelling of real-world relationships. You will also refine your use of the mathematical processes necessary for success in senior mathematics.

This course prepares you for careers in fields such as science, engineering, economics, and some areas of business. It will prepare you for university-level calculus, linear algebra, or physics courses.

Journal électronique

Pour ce cours, il faut soumettre le travail en ligne en utilisant Microsoft Word © ou OpenOffice Writer.

Unit 1: Rates of change and derivatives (Part A)

Lesson 1: Rates of change

Lesson 2: Limits

Unit 2: Rates of change and derivatives (Part B)

Lesson 3: Introduction to curve sketching

Lesson 4: Derivatives

Lesson 5: The rules of derivatives

Unit 3: Exploring derivatives (Part A)

Lesson 6: Exponential functions and their derivatives

Lesson 7: Derivatives of sinusoidal, radical, and rational functions

Lesson 8: The second derivative: A graphical look

Unit 4: Exploring derivatives (Part B)

Lesson 9: Curve sketching: Polynomial functions

Lesson 10: Curve sketching: Rational functions

Unit 5: Applying derivatives and introduction to vectors

Lesson 11: Real-world applications of derivatives

Lesson 12: Optimization Problems

Lesson 13: Introduction to vectors

Lesson 14: Three-dimensional vectors and operations on vectors

Lesson 15: Properties of vectors and scalar multiplication

Unit 6: Lines and planes (Part A)

Lesson 16: Dot product and cross product of two vectors

Lesson 17: Applications of vector multiplication

Unit 7: Lines and planes (Part B)

Lesson 18: Lines and planes

Lesson 19: Scalar, vector, and parametric equations

Lesson 20: Intersections of lines and planes in 3-space

Il s'agit de la version anglaise du cours.

Cliquez ici pour voir la version française du cours.