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| Global School. Educational Innovation

| BSID 882692

Calculus Vectors (MCV4U)

Course Code



Ottawa - Ontario - Canada

+500 students approved this course

About the course

This course expands on the students’ prior knowledge of functions and their growing awareness of change rates. Students will solve problems involving geometric and algebraic representations of vectors, as well as representations of lines and planes in three dimensions; they will broaden their understanding of rates of change to include the derivatives of polynomial, sinusoidal, exponential, rational, and radical functions; and they will apply these concepts and skills to the modeling of real-world relationships. Students will also improve their understanding of the mathematical procedures required for senior mathematics success. This course is designed for students interested in professions in science, engineering, economics, and some sectors of business, as well as those who will need to take a university-level calculus, linear algebra, or physics course. Curriculum Policy Document:Mathematics, The Ontario Curriculum, Grades 11 and 12, 2007

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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