Course: Mathematics 3 credits: 3
 Course code
 ELVH16AMATH3
 Name
 Mathematics 3
 Study year
 20222023
 ECTS credits
 3
 Language
 English
 Coordinator
 J.M. Wilson
 Modes of delivery

 Lecture
 Assessments

 Mathematics 3  Written, organised by STAD examinations
Learning outcomes
 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
 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
Content
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.
Included in programme(s)
School(s)
 Institute of Engineering