Real Analysis, Honours Course, 6 credits (TATA34)

Analys, överkurs, 6 hp

Main field of study

Mathematics Applied Mathematics

Level

First cycle

Course type

Programme course

Examiner

Jana Björn

Director of studies or equivalent

Jesper Thorén
Course offered for Semester Period Timetable module Language Campus VOF
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - French 7 (Autumn 2017) 1, 2 4, 4 Swedish Linköping v
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Japanese 7 (Autumn 2017) 1, 2 4, 4 Swedish Linköping v
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Spanish 7 (Autumn 2017) 1, 2 4, 4 Swedish Linköping v
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - German 7 (Autumn 2017) 1, 2 4, 4 Swedish Linköping v
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Chinese 7 (Autumn 2017) 1, 2 4, 4 Swedish Linköping v
6CIII Industrial Engineering and Management, M Sc in Engineering 7 (Autumn 2017) 1, 2 4, 4 Swedish Linköping v
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 7 (Autumn 2017) 1 4 Swedish Linköping v
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 7 (Autumn 2017) 2 4 Swedish Linköping v
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 7 (Autumn 2017) 1 4 Swedish Linköping v
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 7 (Autumn 2017) 2 4 Swedish Linköping v
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 7 (Autumn 2017) 1 4 Swedish Linköping v
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 7 (Autumn 2017) 2 4 Swedish Linköping v
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 7 (Autumn 2017) 1 4 Swedish Linköping v
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 7 (Autumn 2017) 2 4 Swedish Linköping v
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 7 (Autumn 2017) 1 4 Swedish Linköping v
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 7 (Autumn 2017) 2 4 Swedish Linköping v
6CYYY Applied Physics and Electrical Engineering, M Sc in Engineering 7 (Autumn 2017) 1, 2 4, 4 Swedish Linköping v
6CYYY Applied Physics and Electrical Engineering, M Sc in Engineering (Additional courses) 3 (Autumn 2017) 1, 2 4, 4 Swedish Linköping v
6KMAT Mathematics, Bachelor´s Programme 3 (Autumn 2017) 1, 2 4, 4 Swedish Linköping v
6KMAT Mathematics, Bachelor´s Programme (Computer Science) 3 (Autumn 2017) 1, 2 4, 4 Swedish Linköping v
6KMAT Mathematics, Bachelor´s Programme (Modelling and Optimization in Economics) 3 (Autumn 2017) 1, 2 4, 4 Swedish Linköping v
6KMAT Mathematics, Bachelor´s Programme (Mathematics) 3 (Autumn 2017) 1, 2 4, 4 Swedish Linköping v
6KMAT Mathematics, Bachelor´s Programme (Applied Mathematics) 3 (Autumn 2017) 1, 2 4, 4 Swedish Linköping v

Main field of study

Mathematics, Applied Mathematics

Course level

First cycle

Advancement level

G2X

Course offered for

  • Industrial Engineering and Management - International, M Sc in Engineering
  • Industrial Engineering and Management, M Sc in Engineering
  • Applied Physics and Electrical Engineering - International, M Sc in Engineering
  • Applied Physics and Electrical Engineering, M Sc in Engineering
  • Mathematics, Bachelor´s Programme

Entry requirements

Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshold requirements for progression within the programme, or corresponding.

Prerequisites

A basic course in calculus and linear algebra.

Intended learning outcomes

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.

Course content

The real number system, limits of sequences, series, limits of functions, continuity, differentiation, sequences and series of functions, the Riemann integral.

Teaching and working methods

Lectures.
The course runs over the entire autumn semester.

Examination

UPG1AssignmentsU, 3, 4, 56 credits

Grades

Four-grade scale, LiU, U, 3, 4, 5

Department

Matematiska institutionen

Director of Studies or equivalent

Jesper Thorén

Examiner

Jana Björn

Education components

Preliminary scheduled hours: 36 h
Recommended self-study hours: 124 h

Course literature

Additional literature

Books
S. Abbott, (2001) Understanding Analysis

Additional literature

Books

S. Abbott, (2001) Understanding Analysis
UPG1 Assignments U, 3, 4, 5 6 credits

Regulations (apply to LiU in its entirety)

The university is a government agency whose operations are regulated by legislation and ordinances, which include the Higher Education Act and the Higher Education Ordinance. In addition to legislation and ordinances, operations are subject to several policy documents. The Linköping University rule book collects currently valid decisions of a regulatory nature taken by the university board, the vice-chancellor and faculty/department boards.

LiU’s rule book for education at first-cycle and second-cycle levels is available at http://styrdokument.liu.se/Regelsamling/Innehall/Utbildning_pa_grund-_och_avancerad_niva. 

This tab contains public material from the course room in Lisam. The information published here is not legally binding, such material can be found under the other tabs on this page. There are no files available for this course.

Page responsible: Info Centre, infocenter@liu.se