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Umeå University

Multivariable Calculus and Differential Equations

Moment 1, teori (6,5 hp): Kursen ger en introduktion till flervariabelanalys och differentialekvationer. Inom flervariabelanalys studeras bland annat begreppen partiell derivata, tangentplan, gradient, och dubbelintegral, samt några enkla tillämpningar av dessa i form av optimeringsproblem och volymberäkningar. Kurs…

  • Higher education
  • Information unavailable
  • 31 August 2026
  • Information unavailable
  • Information unavailable
  • 50 %

Overview

Moment 1, teori (6,5 hp): Kursen ger en introduktion till flervariabelanalys och differentialekvationer. Inom flervariabelanalys studeras bland annat begreppen partiell derivata, tangentplan, gradient, och dubbelintegral, samt några enkla tillämpningar av dessa i form av optimeringsproblem och volymberäkningar. Kursen behandlar ordinära differentialekvationer av första ordningen och linjära ekvationer av andra ordningen. Ett genomgående tema i detta sammanhang är kopplingen mellan modeller och differentialekvationer. Vidare studeras enklare system av linjära differentialekvationer. Både numeriska och analytiska lösningsmetoder ingår. Vidare studeras Laplacetransformer, och deras tillämpning på lösning av differentialekvationer. Kursen ger också en introduktion till lösning av partiella differentialekvationer genom metoden med separation av variabler. Moment 2, datorlaboration (1 hp).

Admission scores

Uppgift saknasVerified data is not connected to this education offering.

Entry requirements

För tillträde till kursen krävs 15 hp analys och minst 7,5 hp linjär algebra eller motsvarande kunskaper.

The text is reproduced from the Susa source. Antagningsdata does not map GY11 and GY25 or assess personal eligibility.

Source, measure and data quality
Source
Skolverket Susa-navet
Period
2026-08-31
Measure
Entry-requirement text reproduced from the published Susa data; no personal eligibility assessment is made.
Population
Education offering e.uoh.umu.5ma044.58007.20262
Last checked
2026-09-23T10:39:35.037285+00:00
Limitation
Antagningsdata does not map GY11 and GY25. General and specific conditions are not separated without structured source data.

Programme content

Uppgift saknasVerified data is not connected to this education offering.

Study structure

Uppgift saknasVerified data is not connected to this education offering.

Application and important dates

  1. Programme or course starts
  2. Programme or course ends

Salary and salary distribution

Uppgift saknasVerified data is not connected to this education offering.

Common occupations after graduation

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Students

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Geographical background

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Previous upper-secondary schools and programmes

Uppgift saknasVerified data is not connected to this education offering.

Completion and outcomes

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About the provider

Umeå University

Provider for the published education offering.

Sources and data quality

Education facts for the selected offering come from Skolverket Susa-navet.

Retrieved . Published . Times are shown in Swedish local time.

Source identity and publication version
Publication version
8e217193-f5fa-4778-b085-a4521fd03e8d
Education identity in the source
i.uoh.umu.5ma044.58007.20262
Offering identity in the source
e.uoh.umu.5ma044.58007.20262
Education-form source code
HS
Education code in the source
5MA044
Change time according to the source
2025-12-11T08:04:34

The provider, education and education offering are separate identities. Application information should be checked on the official website. Supplementary statistics have not been obtained from this source.