Learning Outcomes
On completion of this course the student will be able to:
- Apply set theory in a probability theoretic context
- Differentiation
- Apply the limit concept
- Perform Taylor‘s expansion
- Execute matrix operations
- Calculate Riemann integrals
The student will acquire knowledge of:
- The theory behind the Riemann Integral
- Sequences of sets/events and series of functions
- Eigenvalues
Course Content
The course includes mathematics that provide preparation for further studies in statistics and microdata analysis.
The course covers the following topics: set theory, supremum and infimum, limits and
continuity, differentiation, convex and inverse functions, the mean value theorem,
Taylor‘s formula, maxima and minima, sequences and series, The Riemann integral,
improper Riemann integrals, continuity and derivatives of functions in several
dimensions, The Riemann integral of a functions in several dimensions.
The course covers the following topics: set theory, supremum and infimum, limits and
continuity, differentiation, convex and inverse functions, the mean value theorem,
Taylor‘s formula, maxima and minima, sequences and series, The Riemann integral,
improper Riemann integrals, continuity and derivatives of functions in several
dimensions, The Riemann integral of a functions in several dimensions.
Assessment
Written examination.
Forms of Study
Web based lectures and tutorials
Grades
The Swedish grades U–VG.
Prerequisites
- At least a total of 30 credits in one or several of this subjects; statistics, mathematics, computer science
Other Information
The student is entitled to four resits