| TATA34 |
Real Analysis, Honours Course, 6 ECTS credits.
/Analys, överkurs/
For:
I
Ii
Mat
Y
Yi
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Prel. scheduled
hours: 36
Rec. self-study hours: 124
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Area of Education: Science
Main field of studies: Mathematics, Applied Mathematics
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Advancement level
(G1, G2, A): G2
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Aim:
To extend and enhance the analysis taught in the basic calculus courses
as a preparation for more advanced studies in mathematics and applied
subjects. In the course, the student also practices his/her ability to
read and write mathematical text and, in particular, mathematical
proofs. After completing the course, the student should
- have a good understanding of the real number system and of functions
of a real variable,
- be able to cite and explain the essential definitions and theorems in
real analysis,
- be able to apply the theory to new situations,
- be able to independently formulate and prove simple results about
functions of a real variable.
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Prerequisites: (valid for students admitted to programmes within which the course is offered)
A basic course in calculus and linear algebra.
Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshhold requirements for progression within the programme, or corresponding.
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Supplementary courses:
Functional analysis, Fourier and wavelet analysis
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Organisation:
Lectures.
The course runs over the entire autumn semester.
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Course contents:
The real number system, limits of sequences, series, limits of functions, continuity, differentiation, sequences and series of functions, the Riemann integral.
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Course literature:
S. Abbot: Understanding Analysis, Springer-Verlag 2001.
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Examination: |
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Assignments
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6 ECTS
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Course language is Swedish.
Department offering the course: MAI.
Director of Studies: Jesper Thorén
Examiner: Jana Björn
Link to the course homepage at the department
Course Syllabus in Swedish
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