Introduction to Analysis
7.5 ECTS credits-Real numbers, completeness axiom
-Bounded sets, supremum and infimum
-Convergence of sequences and Cauchys criterion
-Limits and continuity, uniform continuity, continuous functions on intervals
-Monotone functions, inverse of a function
-Derivation, mean value theorem, integration, the fundamental theorem of calculus
-Numerical series, series of functions, sequences of functions and uniform convergence.
Instruction is in the form of lectures and exercises. One assignment is performed individually and reported orally and in writing.
-Bounded sets, supremum and infimum
-Convergence of sequences and Cauchys criterion
-Limits and continuity, uniform continuity, continuous functions on intervals
-Monotone functions, inverse of a function
-Derivation, mean value theorem, integration, the fundamental theorem of calculus
-Numerical series, series of functions, sequences of functions and uniform convergence.
Instruction is in the form of lectures and exercises. One assignment is performed individually and reported orally and in writing.
Progressive specialisation:
G1F (has less than 60 credits in first‐cycle course/s as entry requirements)
Education level:
Undergraduate level
Admission requirements:
Mathematics 30 ECTS cr, including the courses Foundation Course in Mathematics, 7.5 ECTS cr. Calculus Na Geometry, 7.5 ECTS cr, 7.5 ECTS cr, and Fundamental Concepts and Truths, 6.0 ECTS cr, or equivalenSingle Variable Calculus EA2 (MAGA02) and Elementary Algebra (MAGA03), or eqivalent.
Selection:
Selection is usually based on your grade point average from upper secondary school or the number of credit points from previous university studies, or both.
This course is included in the following programme
- Mathematics Programme (studied during year 2)