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| Global School. Educational Innovation

| BSID 882692

Calculus Vectors (MCV4U)

Location

Ottawa - Ontario - Canada

+500 students approved this course

About the course

Course Type: University Credit Value: 1.0 Prerequisite: MHF4U, Advanced Functions, Grade 12, University (may be taken concurrently) Curriculum Policy Document: The Ontario Curriculum, Grades 11 and 12: Mathematics, 2007 Department: Mathematics Course Developer: KAI Global School Development Date: 2022-2023 Course Description: 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 radical 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.

Overrall expectations

By the end of the course you will:

Rate Of Change

By the end of this course, students will:

  • demonstrate an understanding of rate of change by making connections between average rate of change over an interval and instantaneous rate of change at a point, using the slopes of secants and tangents and the concept of the limit;
  • graph the derivatives of polynomial, sinusoidal, and exponential functions, and make connections between the numeric, graphical, and algebraic representations of a function and its derivative;
  • verify graphically and algebraically the rules for determining derivatives; apply these rules to determine the derivatives of polynomial, sinusoidal, exponential, rational, and radical functions, and simple combinations of functions; and solve related problems.
Derivatives And Their Applications

By the end of this course, students will

  • Make connections, graphically and algebraically, between the key features of a function and its first and second derivatives, and use the connections in curve sketching;
  • Solve problems, including optimization problems, that require the use of the concepts and procedures associated with the
    derivative, including problems arising from real-world applications and involving the development of mathematical models.
Geometry And Algebra Of Vectors

By the end of this course, students will

 

  • demonstrate an understanding of
    vectors in two-space and three-space by representing them algebraically and geometrically and by recognizing their applications;
  • perform operations on vectors in two- space and three-space, and use the properties of these operations to solve problems, including those arising from real-world applications; 3. distinguish between the geometric representations of a single linear equation or a system of two linear equations in two-space and three-space, and determine different geometric configurations of lines and planes in three-space; 4. represent lines and planes using scalar

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