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Arkistoitu opetussuunnitelma 2010–2011
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MATEP3 Analysis 1 8 op
Organised by
Mathematics
Person in charge
Lecturer of Mathematics
Preceding studies
The extensive syllabus of mathematics in upper secondary school.
Corresponding course units in the curriculum
Matematiikan ja tilastotieteen laitos
Curricula 2008 – 2010
MATEP3 Analysis 1 8 ECTS

Learning outcomes

To rigorously study the basic notions of real variable calculus and to achieve deeper understanding on why the mathematical formulae and rules familiar from the school actually work.

Contents

Real numbers and inequations, basic functions, supremum and infimum, continuity, sequences and convergence, limits and the "epsilon-delta" technique, Bolzano's theorem, derivatives, intermediate value theorem.

Teaching methods

Teaching method Contact Online
Lectures 56 h 0 h
Tutorials 28 h 0 h

Teaching language

Finnish

Modes of study

Evaluation

Numeric 1-5.

Recommended year of study

1. year autumn

Study materials

The course is based on the lectures. Lecture notes are available online in Finnish. Further reading:

  1. Courant, R., John, F., Introduction to calculus and analysis.
  2. Salas, S. L., Hille, E., Etgen, G. J., Calculus: one and several variables.

Belongs to following study modules

Matematiikan ja tilastotieteen laitos
Basic Studies in Mathematics (Matematiikka)
Matematiikan ja tilastotieteen laitos
Basic and Intermediate Studies in Didactic Mathematics (Matematiikka)
2011–2012
Teaching
Archived Teaching Schedule. Please refer to current Teaching Shedule.
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Matematiikan ja tilastotieteen laitos