Calculus

Course Code :1001WETCAL
Study domain:Mathematics
Academic year:2017-2018
Semester:2nd semester
Contact hours:90
Credits:9
Study load (hours):252
Contract restrictions: No contract restriction
Language of instruction:Dutch
Exam period:exam in the 2nd semester
Lecturer(s)Sonja Hohloch

3. Course contents *

This course deals with : sequences of real numbers (convergence tests), functions and their properties (boundedness, injection/surjection/bijection, continuity), limits of functions, one-dimensional differential calculus (with an introduction to differential calculus in several variables) and applications (practical rules for calculating derivatives, mean value theorems, extremal problems, graph sketching), integral calculus in one variable and applications (volume, arc length), series (including power series and Fourier series).

In short, this means that we will treat classical calculus as developed by Newton and Leibniz, together with all possible applications which are crucial in more or less all scientific courses in which 'functions of a continuous variable' play a dominant role. In a nice application we will treat the Fourier series, important in signal analysis.