XWT-22305 Mathematical Principles in Water Technology

Course

Credits 5.00

Language of instruction:

English

Contents:

A solid knowledge and flexible use of mathematics is a often required in understanding problems in the domain of the water treatment. This course contains the essential mathematics to solve engineering problems.
The two main subjects of the course are:
- deepening and broadening of the VWO knowledge about the calculus of functions of one variable;
- gain understanding and using the calculus of functions of more variables. The following subjects are covered:
- improvement of algebraic skills;
- rehearsal of: elementary functions, differentiation, extrema;
- deepening of: limits, continuity, (partial) differentials, special integrals (Riemannsum), systematic integration (substitution, partial integration), Taylor-series, complex numbers, second-order linear differential equations;
- analytical solutions of integrals and differential equations;
- multiple integration;
- integral theorems of Green, Stokes and Gauss.

Learning outcomes:

After the course the student is expected to be able to:
- have a good understanding of mathematical concepts;
- apply mathematical knowledge, insights and methods to solve basic mathematical problems related to water technology;
- simplify or approach problems when analytical solutions are impossible;
- understand limits;
- critically reflect upon the results by verifying them.

Activities:

- attending lectures and instruction hours;
- studying the presented material and hand-out.

Examination:

Written examination on problems with open questions.

Literature:

James Steward, Calculus, early transcendentals; 5th ed.