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.
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Course structure
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
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Schedule
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. -
Course literature
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.
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Course reports
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More information
New student
During your studiesCourse web
We do not use Athena, you can find our course webpages on kurser.math.su.se.
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Contact
