Vak: Mathematics 3 credits: 3

Vakcode
ELVH16AMATH3
Naam
Mathematics 3
Studiejaar
2022-2023
ECTS credits
3
Taal
Engels
Coördinator
J.M. Wilson
Werkvormen
  • Hoorcollege
Toetsen
  • Mathematics 3 - Schriftelijk, organisatie ToetsCentrum

Leeruitkomsten

Students:
  • solve a variety of 1st and 2nd order differential equations using standard techniques such as separation of variables, use of an integrating factor, use of exactness, use of characteristic polynomial and equating coefficients;
  • find the Laplace transform of a function using properties of and theorems about Laplace transforms, with the assistance of a table of Laplace transforms;
  • find the inverse Laplace transform of a function using properties of and theorems about Laplace transforms, and algebraic techniques such as partial fractions and completing the square, with the assistance of a table of Laplace transforms.
  • use Laplace transforms to solve differential equations

Inhoud

Differential equations are important in engineering and other fields as mathematical models of systems involving rates of change. This study unit introduces differential equations and certain standard techniques for solving them, insofar as this is possible. It also introduces the Laplace transform, which is used in control engineering, and can also be applied to solve differential equations.

Opgenomen in opleiding(en)

School(s)

  • Instituut voor Engineering