Close Help Print
 Course module: 202001329
 202001329Analysis I
 Course info
Course module202001329
Credits (ECTS)3
Course typeStudy Unit
Language of instructionEnglish
Contact persondr. J. de Jong
E-mailj.dejong-3@utwente.nl
Lecturer(s)
 Examiner dr. J. de Jong Contactperson for the course dr. J. de Jong Examiner dr. P.K. Mandal Examiner dr. L. Pehlivan Lecturer prof.dr. H.J. Zwart
Starting block
 1B
RemarksOnly for repeat students who need to re-take the exam.
Application procedureYou apply via OSIRIS Student
Registration using OSIRISYes
 Aims
 body { font-size: 9pt; font-family: Arial } table { font-size: 9pt; font-family: Arial } Upon completion of this course the student is able to: Give precise definitions of some important concepts from real analysis and work with them, and also, to give a rigorous proof of some important results related to these concepts, explain and apply the concepts convergence/divergence of a sequence of real numbers, explain and work with the concepts related to real-valued functions, and inverse functions, explain and work with the concepts related to continuity, differentiability and Riemann-integrability of real-valued functions on an interval.
 Content
 body { font-size: 9pt; font-family: Arial } table { font-size: 9pt; font-family: Arial } This course code is only for repeat students who need to re-take the exam from last year. All others: please refer to the new AM module 2 Structures and Systems 202200235 . Within the Analysis-line of Applied Mathematics, one learns the fundamental concepts in Real Analysis that are indispensable for the further study. Another integral part of the Analysis-line is the proper and rigorous manner of proving results. In this first course, the Axioms of Real numbers will be reviewed very briefly, and in particular, the concepts of supremum and minimum. The main focus lies on the topics of convergence of a sequence of real numbers and different properties of real-valued functions such as continuity, differentiability and integrability and the relationships among these properties.
 Participating study
 Bachelor Applied Mathematics
Required materials
Book
 Wade, “An Introduction to Analysis”. ISBN: 978-0132296380
Recommended materials
-
Instructional modes
Assessment
 Presence duty Yes

Self study with assistance

Team Based Learning
 Presence duty Yes

Tutorial

Tests
 Written exam
 Close Help Print