| NMAA13 | Mathematical Analysis I, 15 ECTS credits. /Matematisk analys I/ |
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Prel. scheduled
hours: 154 |
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Area of Education: Science Subject area: Mathematics |
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| Advancement level
(A-D): A
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| Aim: To teach students the foundations of sinlge-variable analysis. |
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| Prerequisites: (valid for students admitted to programmes within which the course is offered) Admission to the course requires, as well as general university entrance requirements, secondary school matematics E (or equivalent). Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshhold requirements for progression within the programme, or corresponding. |
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| Organisation: Lectures and problem classes. |
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| Course contents: The concept of function. The elementary functions. Limits. Continuity. Derivatives. Mean value theorem. Extremal values. Graph sketching. The Riemann integral.Techniques of integration. Area, volume, arc length. Taylor's formula. Generalized integrals and numerical series. Power series. Ordinary differential equations. |
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| Course literature: Persson, Böiers: Analys i en variabel. Neymark: Kompendium om konvergens. Additional material published by the Department of Mathematics. |
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| Examination: | |||
| Written examination Written examination Written test |
2 p 8 p 0 p |
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Course language is Swedish. Department offering the course: MAI. Director of Studies: Arne Enqvist Examiner: Mats Neymark Link to the course homepage at the department Course Syllabus in Swedish |
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