Study Guide 2022-2023

3355741 Basic Calculus, 5 ECTS

3355741 Basic Calculus, 5 ECTS
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Learning outcomes

Learning outcomes: The student knows the basic concepts of functions and can analyze function properties. The student knows the properties of logarithmic, exponential, trigonometric and other common functions and can use these functions in solving basic and practical problems. The student can define basic concepts related to differential and integral calculus and is able to solve related basic and practical problems. The student learns the basics of vector algebra in two- and three-dimensional space. The student knows the basic concepts of complex numbers and can solve basic problems related to them.

Content

Basic concepts of functions with one variable. Common functions: polynomial, logarithmic, exponential, trigonometric, hyperbolic, etc.; their plots, rules and inverses. Limits, continuity and derivatives of functions. Integral functions and integration techniques. Vectors and vector algebra. Complex numbers.

Modes of study

Modes of study: Written exam, exercises

Evaluation criteria: 0-5

Teaching methods

Lectures and other contact teaching 48 h, small group studies 20 h

Further information

Time: Autumn semester

Campus: Kuopio

Further information: Teaching language is Finnish. Content and modes of study will be agreed in detail at the beginning of the course. For example, the course may be organized in multiform teaching.

Prerequisites

Matematiikan propedeuttinen kurssi (3355781) or upper secondary school mathematics, advanced syllabus

Grading scale

0-5

Languages

Finnish

Level

Basic Studies

Subject

Mathematics

Teacher in charge

Anna Kaasinen

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