Vector Calculus for Engineers

University of Cape Town

Course Description

  • Course Name

    Vector Calculus for Engineers

  • Host University

    University of Cape Town

  • Location

    Cape Town, South Africa

  • Area of Study

    Calculus, Mathematics

  • Language Level

    Taught In English

  • Prerequisites

    MAM1003W or MAM1020 or equivalent and MAM1021 or equivalent.

  • Course Level Recommendations

    Lower

    ISA offers course level recommendations in an effort to facilitate the determination of course levels by credential evaluators.We advice each institution to have their own credentials evaluator make the final decision regrading course levels.

    Hours & Credits

  • Host University Units

    16
  • Recommended U.S. Semester Credits
    2 - 3
  • Recommended U.S. Quarter Units
    4
  • Overview

    This course aims to develop an understanding of differentiation of vector valued functions, space curves and surfaces. Partial derivatives, chain rule, maxima and minima, Lagrange multipliers. Gradient, divergence and curl. Taylor's theorem for one and several variables, Jacobians, Newton's method for several variables. Multiple integrals and change of variable. Surface integrals. Line integrals, work done by a force, potentials. Green's theorem, divergence theorem, and Stokes' theorem.

    Assessment: One paper written in June or November no longer than 2.5 hours: 60%, year mark: 40%.

Course Disclaimer

Credits earned vary according to the policies of the students' home institutions. According to ISA policy and possible visa requirements, students must maintain full-time enrollment status, as determined by their home institutions, for the duration of the program.