Prof. Mensah Folly-Gbetoula +27(0)11 717 6289 Mensah.Folly-Gbetoula@wits.ac.za and Dr Darlison Nyirenda  + 27(0)11 717 6224 darlison.nyirenda@wits.ac.za

Prerequisites: MATH1042 and MATH1043

Possible destinations: MATH 2 Major, MATH3025/3026

MATH2011 is a second-year engineering maths course having 4 lectures and 1 tutorial per week. The course has two components: algebra and calculus.

Schools: Chemical, Mechanical, Aeronautical, Industrial, Science.

ALGEBRA (MATH2011)
A continuation of complex numbers from first year work and convergence of series. The linear algebra section includes: eigenvalues and eigenvectors; the Cayley-Hamilton theorem and applications to differential equations; change of coordinates, diagonalisation and applications; orthonormality, unitary and hermitian matrices and quadratic forms; Fourier series;  Domains in the complex plane, analytic functions and Cauchy-Riemann equations.

CALCULUS (MATH2011)
Starts with the solution of linear differential equations using D-operator methods. The section on vector differentiation includes curvature, trajectories, directional derivatives, grad, div and curl, streamlines and potential functions, classification of surfaces. Vector integration includes path integrals, double integrals, Jacobians, Green's theorem in the plane.

MATH2026 is a second year engineering maths course having 4 lectures and 1 tutorial per week in the first semester only. The course has two components: algebra and calculus.

Schools: Civil, Metallurgy, Mining.

ALGEBRA (MATH2026)
A continuation of complex numbers from first year work and convergence of series. The linear algebra section includes: eigenvalues and eigenvectors; the Cayley-Hamilton theorem and applications to differential equations; change of coordinates, and diagonalisation and its applications.

CALCULUS (MATH2026)
This consists of the solution of linear differential equations using D-operator methods followed by a section on vector differentiation which includes curvature, trajectories and orthogonal trajectories.

MATH2014 is a second year engineering maths course having 6 lectures and 2 tutorials per week in the first semester, and 4 lectures and 1 tutorial per week in the second semester. The course has three components: algebra, calculus and transforms.

Schools: Electrical, Biomed, Digital.

ALGEBRA (MATH2014)
A continuation of complex numbers from first year work and convergence of series. The linear algebra section includes: eigenvalues and eigenvectors; the Cayley-Hamilton theorem and applications to differential equations; change of coordinates, diagonalisation and applications; orthonormality, unitary and hermitian matrices and quadratic forms; Fourier series; Domains in the complex plane, analytic functions and Cauchy-Riemann equations.

CALCULUS (MATH2014)
Starts with the solution of linear differential equations using D-operator methods. The section on vector differentiation includes curvature, trajectories, directional derivatives, grad, div and curl, streamlines and potential functions, classification of surfaces. Vector integration includes path integrals, double integrals, Jacobians, Green's theorem in the plane.

TRANSFORMS (MATH2014)
Introduces Laplace transforms and explains their use in extending second year results on D-operators and stability. Special functions that arise naturally are also discussed, as are Fourier transforms, which are related to both Laplace transforms and Fourier series. Finally, various analytic techniques for solving certain partial differential equations are covered.