Maths and Applied Maths 2 (MAM2)
Mathematics and Applied Mathematics 2 is made of 2 onesemester credits, MAM 201 and MAM 202.
MAM 201:
This firstsemester credit consists of two courses:

Advanced Calculus:
Partial differentiation: directional derivatives and the gradient vector; maxima and minima of surfaces; Lagrange multipliers. Multiple integrals: surface and volume integrals in general coordinate systems. Vector calculus: vector fields, line integrals, fundamental theorem of line integrals, Green's theorem, curl and divergence, parametric curves and surfaces.

Ordinary Differential Equations:
First order ordinary differential equations, linear differential equations of second order, Laplace transforms, systems of equations, series solutions.
MAM 202:
This second semester credit consists of two courses:

Linear Algebra:
Linear spaces, inner products, norms. Vector spaces, spans, linear independence, basis and dimension. Linear transformations, change of basis, eigenvalues, diagonalization and its applications.

Introduction to analysis and algebra:
Set theory; mappings; binary operations; equivalence relations and order; groups; real numbers; open and closed intervals; sequences and series (convergence); functions of a real variable (continuity, limit); series of functions; Taylor series.
Throughout the year, there is an an additional, assignement based, introduction to mathematical programming.
Last Modified: Fri, 24 Aug 2018 11:22:09 SAST