| TATA73 |
Theory of Calculus, second course, 4 ECTS credits.
/Matematisk fördjupning fk/
For:
Mat
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Prel. scheduled
hours: 44
Rec. self-study hours: 63
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Area of Education: Science
Main field of studies: Mathematics, Applied Mathematics
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Advancement level
(G1, G2, A): G1
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Aim:
To give theoretical knowledges in calculus of one and several variables. After the course the student must be able to
- cite and use the definitions and theorems of limit, continuity, derivatives, indefinite and definite integrals, Taylor and Maclaurin series.
- prove central theorems in calculus of one and several variables.
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Prerequisites: (valid for students admitted to programmes within which the course is offered)
Calculus in one and several variables
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:
Seminars including oral presentations.
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Course contents:
Calculus in one variable: Theory of lindefinite and definite integrals, Taylor and Maclaurin series.
Calculus in several variables: Theory of limit, continuity, derivatives, integrals, Taylor and Maclaurin series.
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Course literature:
Forsling, G. och Neymark, N.: Matematisk analys, en variabel. Liber.
Persson, Arne, Böiers, Lars-Christer: Analys i flera variabler. Studentliteratur, Lund 1988.
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Examination: |
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Written examination
Assignments
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3,5 ECTS
0,5 ECTS
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Course language is Swedish.
Department offering the course: MAI.
Director of Studies: Jesper Thorén
Examiner: Irina Asekritova
Link to the course homepage at the department
Course Syllabus in Swedish
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