EPN-V2

ACIT4330 Mathematical Analysis Course description

Course name in Norwegian
Mathematical Analysis
Study programme
Master's Programme in Applied Computer and Information Technology
Weight
10.0 ECTS
Year of study
2024/2025
Curriculum
SPRING 2025
Schedule
Programme description
Course history

Introduction

The course focuses on the broad and rigorous approach necessary to do reliable research within the area of analysis and offers a deeper theoretical understanding that can supplement and be leveraged alongside the knowledge and skills from the previous two specialization courses (ACIT4310 Applied Computational and Mathematical Analysis and ACIT4321 Quantum Information Technology).

The course provides a perfect basis for any person who wants to venture into this area. It is also a springboard for functional analysis and operator algebras.

Recommended preliminary courses

The overall aim of this course is to explore and challenge understandings of the significance, ambiguities and rhetoric of art, play and learning in an early childhood setting as well as the implications of these understandings for practice, research and professional development in the field.

Required preliminary courses

None.

Learning outcomes

A student who has completed this course should have the following learning outcomes defined in terms of knowledge, skills and general competence:

Knowledge

On successful completion of this course the student:

  • has basic knowledge of point set topology
  • has basic knowledge of measure theory
  • has basic knowledge of Fourier analysis
  • has basic knowledge of complex function theory

Skills

On successful completion of this course the student:

  • is able to prove some of the most fundamental results of mathematical analysis
  • is able to apply basic notions and results in proofs and derivations

General competence

On successful completion of this course the student:

  • is able to understand literature within these topics
  • can transfer with trust this understanding to own research.

Content

After completion of the course, the student will have acquired the following learning outcomes, defined as knowledge, skills and general competence

Knowledge

By the end of the course the student has advanced knowledge of

  • theories of art, play and learning that inform current thinking in early childhood education and care
  • different historical, anthropological and cultural approaches to understandings of child culture/children's culture in an international perspective
  • child culture and children's play culture with a focus on the interrelatedness between play and learning; and the inherent value of play
  • aesthetic expressions in children's everyday life, in the early childhood curriculum, in the arts for children and in media for children

Skills

By the end of the course the student is able to

  • engage critically and independently with academic studies on art, play and learning
  • engage with participatory interaction as a pedagogical process from both child and adult perspectives
  • analyse and deal critically with current theories, methods and interpretations concerning art, play and learning, children's perspectives, the roles of professionals and cultural diversity
  • reflect critically on the integration of art, play and learning and the implications for practice and research

General competence

By the end of the course the students have

  • developed their sensitivity regarding children's aesthetic practices as well as their own creative skills, values and practices and how these reflect their participatory interaction with children
  • developed their own methodological research practice and scientific approach
  • developed their creativity, improvisational abilities and playfulness in both scholarly approach and modes of artistic and academic communication

Teaching and learning methods

Lectures and tutored exercises.

Course requirements

None.

Assessment

Individual oral exam (1 hour).

The oral exam cannot be appealed.

New/postponed exam

In case of failed exam or legal absence, the student may apply for a new or postponed exam. New or postponed exams are offered within a reasonable time span following the regular exam. The student is responsible for registering for a new/postponed exam within the time limits set by OsloMet. The Regulations for new or postponed examinations are available in Regulations relating to studies and examinations at OsloMet.

Permitted exam materials and equipment

No aids are permitted

Grading scale

Grade scale A-F.

Examiners

Two internal examiners. External examiner is used periodically.

Course contact person

Professor Lars Tuset