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Principles of Mathematical Analysis

7.5 Credits, 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.

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The course syllabus includes a description of the course and literature to be used. Within ten weeks before the course starts, a current course syllabus is published.



For detailed questions about the course please do not hesitate to contact us.

Lech Maligranda

Lech Maligranda,

Organization: Mathematics, Mathematical Sciences, Department of Engineering Sciences and Mathematics
Phone: +46 (0)920 491318
Room: E887 - Luleå»