3002.10 - Mathematics 1


Course number
3002.10
Title
Mathematics 1
ECTS
7.5
Purpose
To give the students an introduction to mathematical analysis with applications in physics and engineering.
Content
Complex numbers, elementary functions, Taylor polynomials, l’Hospital’s rule, antiderivatives and integrals, introduction to differential equations, limits, series and convergence, power series, Taylor and Maclaurin series, a short introduction to vectors and matrices, functions of several variables, partial differentiation, chain rule in multiple variables, gradient
Learning and teaching approaches
Lectures and exercises. Training with Maple software
Assessment method
There will be given six written exercises for hand-in during the course. A four-hour written exam. Auxiliary exam material allowed - with the exception of computers and calculators that can make abstract symbolic manipulations. The existing grade scale will be used. The final grade will be given such that the best four hand-ins have weight of 30% while the exam has a weight of 70%.
Contact
Gunnar Restorff