Multivariable Calculus

  • Multivariable Calculus corresponds to the university level calculus course that follows the courses in Calculus of a Single Variable. These mathematical tools and methods are used extensively in the fields of physical sciences, engineering, economics and computer graphics. This is a first course in multivariable calculus. The topics include the differential and integral calculus of several variables, as well as the calculus of vector-valued functions.

    Students will develop a strong grasp of the Mathematical Practices:
    1. Make sense of problems and persevere in solving them.
    2. Reason abstractly and quantitatively.
    3. Construct viable arguments and critique the reasoning of others.
    4. Model with mathematics.
    5. Use appropriate tools strategically.
    6. Attend to precision.
    7. Look for and make use of structure.
    8. Look for and express regularity in repeated reasoning.

    The Standards for Mathematical Practice complement the content standards so that students increasingly engage with the subject matter as they grow in mathematical maturity and expertise throughout the high school years.

    Units of Study

    Semester 1:

    Unit #1 = Vectors and the Geometry of Space
    Unit #2 = Vector Functions
    Unit #3 = Partial Derivatives

    Semester 2:

    Unit #4 = Multiple Integrals
    Unit #5 = Vector Calculus
    Unit #6 = Additional Topics in Differential Equations (Time permitting)