Course

Reell analyse (MAT210)

Facts

Course code MAT210

Credits (ECTS) 10

Semester tuition start Spring

Language of instruction Engelsk, Norsk

Number of semesters 1

Exam semester Spring

Time table View course schedule

Literature Search for literature in Leganto

Introduction

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

Innhold

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

Læringsutbytte

  • 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.

Required prerequisite knowledge

None

Recommended prerequisites

Matematiske metoder 1 (MAT100)

Exam

Skriftlig eksamen

Weight 1/1

Duration 4 Timer

Marks Bokstavkarakterer

Aid Enkel kalkulator , Matematisk formelsamling (Rottmann)

Exam system Papirbasert

Written exam is with pen and paper.

Exam questions are provided only in English but may be answered in English or Norwegian.

Coursework requirements

2 obligatoriske oppgaver

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

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

Arbeidsformer

6 hours lectures and problem-solving classes per week.

Bruk av KI som studiestøtte i studiearbeidet

Overlapping courses

Course Reduction (SP)
Reell analyse (MAT210_1) , Matematiske metoder 2b (MAT220_1) 1
Reell analyse (MAT210_1) , Matematiske metoder 2 (ÅMA260_1) 5
Reell analyse (MAT210_1) , Matematiske metoder 2b (ÅMA270_1) 1
Reell analyse (MAT210_1) , Matematiske metoder 2c (ÅMA330_1) 5
Reell analyse (MAT210_1) , Matematikk 5 - kompleks analyse (ÅMA310_2) 5
Matematiske metoder 2 (MAT200_1) , Reell analyse (MAT210_1) 5
Reell analyse (MAT210_1) , Matematikk 5 - kompleks analyse (ÅMA310_1) 6

Open for

Open course for all who meet the requirements for general university admissions certification (GSK) and mathematics and science requirement.

Admission requirements

General university admissions certification (GSK) and mathematics and science requirement.

Course assessment

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.

Contact

Emneansvarlig:
Tyson Ritter

Offered by

Det teknisk-naturvitenskapelige fakultet

Institutt for matematikk og fysikk

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