After this course the student is able to
- formulate definitions and properties of functions of one variable;
- calculate limits, for instance to demonstrate continuity or to calculate the derivative with the definition;
- calculate the derivative of a function, and also to calculate extreme values and inflection points
- reproduce the definition of continuity, differentiability and integrability of functions of two variables;
- reproduce the definition of the partial derivative of a function of two or more variables;
- apply the chain rule for functions of more than one variable;
- calculate the directional derivative and the gradient vector, and to apply the rules for the gradient;
- find the extreme values of functions of more than one variable;
- solve first order differential equations;.
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This course gives the student a basic knowledge of functions of one variable and gives an introduction to functions of two or more variables. It extends the prior knowledge about functions of one variable acquired from second grade education, but can also be used as a repetition of the mathematics that is presented at the Polytechnic University.
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