The student who successfully completes this course will have the following skills:
-Knowledge and ability to understand:
to use the rules of logic to study the way in which mathematical arguments are constructed
to use the structure of topological space
to analyze the structure of mathematical proofs and illustrate proof techniques by means of examples
to define the limit of a function and continuity of a function
to prove and to work with theorems relating to continuous functions beyond those found in elementary calculus
to define the derivative of a function andto establish properties of differentiable functions
to define the Riemann integral and to establish properties of integrable functions
-autonomy of judgment
to analyse new problems and to solve them
-communication skills
to use the mathematical language to describe and to solve problems
