Calculus

Course Code :1002WETCAV
Study domain:Mathematics
Academic year:2017-2018
Semester:1st semester
Contact hours:60
Credits:6
Study load (hours):168
Contract restrictions: No contract restriction
Language of instruction:Dutch
Exam period:exam in the 1st semester
Lecturer(s)David Eelbode

3. Course contents *

The following topics will be covered in this course:

- Functions of one real variable and their properties (boundedness, injectivity/surjectivity/bijectivity, continuity, limits)

- Differentiability in one variable (with a short excursion to partial derivatives) and applications (mean value theorems, extremal problems, graph sketching)

- Primitives (basic formulae and indefinite integrals of the first/second/third kind)

- Definite integrals (Riemann integration) and applications (volume, arc length, surface area)

- Taylor-polynomials and -series (with applications)

- Differential equations (survey of techniques: seperation of variables, homogeneous equations, exact equations, integrating factors, linear equations of n-th order, reduction of the order, variation of parameters, method of unknown coefficients)