Vector Calculus for Engineers
University of Cape Town
Cape Town, South Africa
Area of Study
Taught In English
MAM1003W or MAM1020 or equivalent and MAM1021 or equivalent.
Course Level Recommendations
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.
Host University Units16
Recommended U.S. Semester Credits2 - 3
Recommended U.S. Quarter Units4
Hours & Credits
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%.
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.