XWT-22305 Mathematical Principles in Water Technology
Course
Credits 5.00
Teaching method | Contact hours |
Lectures | 16 |
Tutorial | 51 |
Course coordinator(s) | BHL Betlem (University Twente) |
Lecturer(s) | BHL Betlem (University Twente) |
Examiner(s) | BHL Betlem (University Twente) |
M Boldij |
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.
Programme | Phase | Specialization | Period | ||
---|---|---|---|---|---|
Restricted Optional for: | MBT | Biotechnology | MSc | G: Water Technology (Leeuwarden) | 2 |