| TATA72 |
Theory of Calculus, 2 ECTS credits.
/Matematisk fördjupning/
For:
Mat
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Prel. scheduled
hours: 22
Rec. self-study hours: 31
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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 variable. After the course the student must be able to
- cite and use the definitions and theorems of limit, continuity and derivatives.
- prove central theorems in these subjects.
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Prerequisites: (valid for students admitted to programmes within which the course is offered)
Courses in Calculus in one variable.
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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Supplementary courses:
Theory of Calculus, second course
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Organisation:
Seminars, including studentpresentations.
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Course contents:
Limits: definitions and theorems. Continuity. The supremum axiom for the real numbers, the Bolzano-Weierstrass theorem, theorems of intermediate and maximum and minimum values. Uniform continuity. Derivatives: definition and theorems. Rolle's theorem and the mean value theorem.
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Course literature:
Forsling, G. och Neymark, N.: Matematisk analys, en variabel. Liber.
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Examination: |
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Hand-in assignments and presentations
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2 ECTS
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Course language is Swedish.
Department offering the course: MAI.
Director of Studies: Jesper Thorén
Examiner: Göran Bergqvist
Link to the course homepage at the department
Course Syllabus in Swedish
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