Mathematics III - Foundations of Analysis

As the name implies, this course focuses on the foundations of analysis. After taking the course, you are expected to be able to demonstrate a deep and thorough acquaintance with mathematical analysis in R^n.

This course is one of the requirements for eligibility to our Master's Programme in Mathematics.

The course treats real numbers, theorems on continuous functions on compact intervals, derivation and integration in R^n, series of functions, uniform convergence, implicit functions. The course aims at giving a deeper understanding of the foundations of real analysis.

The course consists of one element.


Teaching Format

Instruction consists of lectures and exercises. When the course is given as a distance course instruction is digital, e.g., recorded videos and/or live sessions over Zoom.


Assessment

The course is assessed through written and oral examination.

Assessment when the course is given as a distance course

Even when the course is given as a distance course, the exam is on campus. If you cannot come to Stockholm for the exam, you may be able to arrange to take the exam elsewhere, e.g. at another university or (if you are not in Sweden) at a Swedish embassy or consulate.

More information about taking exams elsewhere

Examiner

A list of examiners can be found on

Exam information

The schedule will be available no later than one month before the start of the course. We do not recommend print-outs as changes can occur. At the start of the course, your department will advise where you can find your schedule during the course.


Note that the course literature can be changed up to two months before the start of the course.

Rudin: Principles of Mathematical Analysis. McGraw-Hill.

List of course literature Department of Mathematics

Course reports are displayed for the three most recent course instances.

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Course web

We do not use Athena, you can find our course webpages on kurser.math.su.se.