Principles of Mathematical Analysis
Course, master's level, M7020M
The aim of this course is to give a good understanding of some basic concepts in mathematical analysis.
In the course will appear several concepts from real analysis like the rational and real numbers, the countable and uncountable sets are introduced. Also basic topological concepts such as open, closed, bounded and compact sets are introduced. Numerical sequences, series and properties of continuous and differentiable functions are thorougly discussed. Riemann integral is introduced and its properties are studied. Sequences and series of functions are studied in connection with continuity, integration and differentiation.
Discontinued. Last semester: Spring 2013