General description
“Mathematical Analysis I” aims to provide the student with the basic concepts
of real analysis, to meet the students expected needs in their study in the ITE
program. In particular the student will be able to:
Understand the real numbers field and its properties, the complex numbers,
their properties and applications, the exponential function with a complex
variable, solving some algebraic equations, the sequences and limits, their
types and properties, the series, the convergent and semi-convergent series,
functions definition, injective, surjective and bijective functions, functions
algebra, functions limits properties, functions continuity concepts, intermediate value theorem, bounded and monotone functions, derivatives, higher order
derivatives, theorem of bounded variations, functions variations, exponential
functions, logarithmic functions, hyperbolic functions, trigonometric functions,
antiderivative, limited integrals, and their calculations rules.
Practice on real analysis concepts applications.