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Mathematics with Applications in (Business) Economics and Technology 2

Course Code :1202TEWKWM
Study domain:Mathematics
Academic year:2019-2020
Semester:1st semester
Sequentiality:The student must have obtained a credit for the following course:
- 'Wiskunde met (bedrijfs)economische toepassingen' (at least 8/20)
Contact hours:75
Study load (hours):168
Contract restrictions: No contract restriction
Language of instruction:Dutch
Exam period:exam in the 1st semester
Lecturer(s)Tom Mestdag

3. Course contents *

The course consists mainly of linear algebra, differential equations and linear programming.

The part on linear algebra deals with several aspects of matrices and vectors. It contains the following topics: rank of a matrix, row-echelon form, LU-decomposition, subspaces and basis, orthogonality of vectors, eigenvalues and eigenvectors, diagonalisation of square matrices, systems of linear difference equations, quadratic forms.

In the part on differential equations we treat the most common solution techniques for e.g. separable differential equations and (systems of) linear differential equations (of higher order). We also consider some aspects of the qualitative study of differential equations. We also study line integrals, necessary in mechanics.

In the part on Linear Programming, we introuduce the most common optimalization technique: that of the simplex method.

Each part contains several applications in economy and technology.