NWNR100345 Mathematics (UIW)

Type
course with continuous assessment
Semester hours
4
Lecturer (assistant)
Weidmann, Viola , Fürst, Irina , Marchanka, Viktoryia , El-Laban, Adam , Radinger, Silvia , Scheicher, Klaus
Organisation
Mathematics
Offered in
Wintersemester 2025/26
Languages of instruction
Deutsch
Content

Elements of differential calculus; Newton's method, Taylor's theorem

Integral calculus: Main theorem, basic integrals, substitution, integration by parts, numerical integration, some applications.

Functions in several variables: partial derivatives, tangent plane, extreme values of functions in several variables, linear regression

1st and 2nd order differential equations: type of separable variables, linear differential equation of 1st order, linear differential equation of 2nd order with constant coefficients;
Applications: Case-lines in an area, model of linear memory, vibration equations
Previous knowledge expected

Mathematical basic knowledge at least on good secondary-school level
Objective (expected results of study and acquired competences)

Students are familiar with the most important foundations of the higher engineering mathematics. They can solve certain first order differential equations (linear variable separable), as well as second-order differential equations (linear, with constant coefficients).
They know a number of applications, in particular the provision of downhill-lines in a landscape (natural path of the water) and the mathematical processing of the linear memory model in hydrology.
You can find more details like the schedule or information about exams on the course-page in BOKUonline.