Introduction to Real Analysis

Course Information
TitleΕΙΣΑΓΩΓΗ ΣΤΗΝ ΠΡΑΓΜΑΤΙΚΗ ΑΝΑΛΥΣΗ / Introduction to Real Analysis
Code0207
FacultySciences
SchoolMathematics
Cycle / Level1st / Undergraduate
Teaching PeriodWinter
CommonNo
StatusActive
Course ID40000495

Programme of Study: UPS of School of Mathematics (2014-today)

Registered students: 3
OrientationAttendance TypeSemesterYearECTS
CoreCompulsory Course535.5

Class Information
Academic Year2015 – 2016
Class PeriodWinter
Faculty Instructors
Weekly Hours3
Class ID
600004683
Mode of Delivery
  • Face to face
Digital Course Content
Course Content (Syllabus)
Real numbers - Countable and uncountable sets - Sequences and series - permutations of series - representations of real numbers - The Cantor set and Cantor’s function - Special classes of functions (monotone, bounded variation, absolutely continuous, convex) - Sequences and series of functions - uniform convergence and applications - nowhere differentiable continuous functions - space filling curves - equicartinuity - Azzela’s-Ascoli’s theorem - Weierstrass approximation theorem - Lebesque’s measure.
Keywords
real numbers, countable sets, uncountable sets, Cantor set, sequences and series functions, .
Last Update
11-09-2013