Introduction to Real Analysis
| Title | ΕΙΣΑΓΩΓΗ ΣΤΗΝ ΠΡΑΓΜΑΤΙΚΗ ΑΝΑΛΥΣΗ / Introduction to Real Analysis |
| Code | 0207 |
| Faculty | Sciences |
| School | Mathematics |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Winter |
| Common | Yes |
| Status | Active |
| Course ID | 40000495 |
Programme of Study: UPS of School of Mathematics (2014-today)
Registered students: 298
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| Core | Compulsory Course | 5 | 3 | 5.5 |
| Academic Year | 2017 – 2018 |
| Class Period | Winter |
| Faculty Instructors |
|
| Weekly Hours | 3 |
| Class ID | 600099136
|
Class Schedule
| Building | Φυσικομαθηματική (Δ) |
| Floor | Υπόγειο 1 |
| Hall | ΑΙΘΟΥΣΑ Δ11 (183) |
| Calendar | Δευτέρα 18:00 έως 19:00 |
| Building | Φυσικομαθηματική (Δ) |
| Floor | Όροφος 1 |
| Hall | ΑΙΘΟΥΣΑ Δ31 (194) |
| Calendar | Πέμπτη 08:00 έως 10:00 |
Mode of Delivery
- Face to face
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600099136
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
