Second Year Courses (2012)

Mathematics 2 and Applied Mathematics 2 are combined into a course “Mathematics and Applied Mathematics 2” comprising two semesterized courses MAM 201 and MAM 202 with the following syllabuses:

MAM 201 (first semester course):

Advanced Calculus (25 lectures). Partial differentiation; directional derivatives and the gradient vector, maximum and minimum values, Lagrange multipliers. Multiple integrals; double and triple integrals in various coordinate systems; Vector calculus: vector fields, line integrals, fundamental theorem for line integrals, Green's theorem, curl and divergence.
Linear Algebra (25 lectures). Vector spaces, subspaces, null spaces and spans, linear independence, basis and dimension, linear transformations, change of basis, eigenvalues and eigenvectors, diagonalization and applications.
Elective (15 lectures).

MAM 202 (second semester course):

Numerical Methods (25 lectures). Computations with MATLAB, programming with MATLAB, applications to systems of linear equations, linear regression, interpolation, numerical differentiation, quadrature.
Differential Equations (25 lectures). First order ordinary differential equations; linear differential equations of second order; series solutions.
Mathematical Modelling (15 lectures).

Two electives will be offered ONLY in the first semester. The topics are Geometry and Discrete Mathematics.