*This course is not currently conducted!*

*Erasmus code:*11.1

*ISCED code:*0541

*ECTS credits:*unknown

*Language:*Polish

*Organized by:*Faculty of Management

*Related to study programmes:*

# Mathematics I 2600-DSMdz1MATI

The limit of a function at a point and basic methods of evaluating the limits.

Exponential functions, natural logarithm, the exponent, trigonometric functions.

The limit of a sequence, continuous compounding interest .

Derivative of a function, equation of the tangent to the graph of a function,

differentiation, derivative of the inverse function.

Local extrema, monotonicity, convexity, sketching of the graph of a function.

De l'Hospital rule.

## Type of course

## Learning outcomes

The student knows fundamental methods of evaluating the limits, knows how to apply the natural logarithm and to use continuously compound interest.

The student knows basic interpretations of the derivative and differentiation

techniques.

The student knows how to use the differentation methods to determine local extrema of a function and sketching the graph of a function.

The student can apply de l'Hospital rule in finding limits .

## Assessment criteria

Grading based on two written exams.

## Bibliography

M.Kysiak, R.Pol, Mathematics for the students of the Faculty of Managment (in Polish, accessible online).

## Additional information

Information on *level* of this course, *year of study* and semester when the course
unit is delivered, types and amount of *class hours* - can be found in course structure
diagrams of apropriate study programmes. This course is related to
the following study programmes:

Additional information (*registration* calendar, class conductors,
*localization and schedules* of classes), might be available in the USOSweb system: