Mathematics II (2500210) – Course 2025/26 PDF
Contents
- Definition and graphical representation of functions - For loops
Dedication
0h Large group + 4h Medium group + 6h Self Study- Cavalieri's principle - Revolution volumes - Double integral over rectangular domains - Double integral over non-rectangular domains - Numerical double integral: composite trapezoidal rule - Numerical double integral: composite Simpson's rule - Application example: computation of the volume and the surface of a lake
Dedication
6h Large group + 4h Medium group + 16h Self Study- What is an ordinary differential equation (ODE)? - First-order ODEs - First-order linear ODE5 - Euler's method for scalar problems - Command ode45 in Matlab for scalar problems
Dedication
6h Large group + 6h Medium group + 18h Self Study- Linear second-order ODEs - Reduction of a second-order ODE to a system of two first-order ODEs - Systems of ODEs - Euler's method for vectorial problems - Command ode45 in Matlab for vectorial problems
Dedication
6h Large group + 6h Medium group + 18h Self Study- Mathematical modelling: mass balance - Analytical solutions for one-compartment models - Numerical solutions for several-compartment models - Application examples: reactors in series
Dedication
8h Large group + 6h Medium group + 16h Self Study- Consultation classes before exams - Exams
Dedication
4h Large group + 4h Medium group + 16h Self Study