Course

Real Analysis (MAT210)

Fakta

Emnekode MAT210

Vekting (stp) 10

Semester undervisningsstart Spring

Undervisningsspråk English, Norwegian

Antall semestre 1

Vurderingssemester Spring

Timeplan Vis timeplan

Litteratur Pensumlisten finner du i Leganto

Introduksjon

Introduction to the theory of functions of one complex and several real variables, including convergence/divergence of series, both real and complex.

Content

Convergence, continuity, differentiability, completeness, and compactness in the real numbers. Differentiation and optimisation of functions of several variables. Taylor series, Fourier series.

Learning outcome

  • Understand what is meant by a mathematical proof, and how to communicate mathematical arguments in the form of a mathematical proof.
  • Understand basic topological notions (closed, open, connected and compact sets).
  • Understand the concept of limit, and be able to define continuity and differentiability of functions of one and several real variables.
  • Understand the concepts of convergence and divergence of series and power series of functions of one real variable, and be able to use different convergence tests, especially for finding the radius of convergence of a power series.
  • Get operational knowledge of the basic concepts of multi-variable analysis. Be able to solve extremal value problems in several variables.
  • Be able to find the Taylor and Fourier series of given simple functions.

Forkunnskapskrav

Ingen

Anbefalte forkunnskaper

Mathematical Methods 1 (MAT100)

Eksamen / vurdering

Written exam

Vekt 1/1

Varighet 4 Hours

Karakter Letter grades

Hjelpemiddel Basic calculator, Compilation of mathematical formulae (Rottmann), Specified printed and hand-written means are allowed. Definite, basic calculator allowed

Written exam is with pen and paper.

Vilkår for å gå opp til eksamen/vurdering

2 compulsory assignments

2 compulsory assignments must be approved to have access to the exam.

The assignments are handed in individual. All aids are allowed.

Method of work

6 hours lectures and problem-solving classes per week.

Overlapping

Emne Reduksjon (SP)
Real Analysis (MAT210_1) , Mathematical Methods 2b (MAT220_1) 1
Real Analysis (MAT210_1) , Mathematical Methods 2 (ÅMA260_1) 5
Real Analysis (MAT210_1) , Mathematical methods 2b (ÅMA270_1) 1
Real Analysis (MAT210_1) , Mathematical methods 2c (ÅMA330_1) 5
Real Analysis (MAT210_1) , Mathematics 5 - Complex analysis (ÅMA310_2) 5
Mathematical Methods 2 (MAT200_1) , Real Analysis (MAT210_1) 5
Real Analysis (MAT210_1) , Mathematics 5 - Complex analysis (ÅMA310_1) 6

Åpent for

Battery and Energy Engineering Civil Engineering Computer Science Computer Science, Part-Time Electrical Engineering, Vocational Path Electrical Engineering, Part-Time Electrical Engineering Energy and Petroleum Engineering Geosciences and Energy Resources Environmental Engineering Mechanical Engineering Mathematics and Physics Medical Technology Medical Technology - Part-Time Geosciences Engineering - Bachelor in Engineering
Admission to Single Courses at Master Level at the Faculty of Science and Technology
City and Regional Planning - Master of Science Degree Programme, Five Years Industrial Economics - Master of Science Degree Programme, Five Year Industrial Automation and Signal Processing - Master's Degree Programme - 5 year Structural and Mechanical Engineering - Master of Science Degree Programme. Five Years Advanced teacher education for level 8-13 in science Mathematics and Physics Petroleum Engineering - Master of Science Degree Programme, Five Years
Exchange programme at The Faculty of Science and Technology
Mathematics Science and Technology

Emneevaluering

The faculty decides whether early dialogue will be held in all courses or in selected groups of courses. The aim is to collect student feedback for improvements during the semester. In addition, a digital course evaluation must be conducted at least every three years to gather students’ experiences.

Kontakt

Course coordinator:
Tyson Ritter

Tilbys av

Faculty of Science and Technology

Department of Mathematics and Physics

The course description is retrieved from FS (Felles studentsystem). Version 1