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
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
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 .
Grading based on two written exams.
M.Kysiak, R.Pol, Mathematics for the students of the Faculty of Managment (in Polish, accessible online).
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:
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