After completing this course unit, the student should be able to:

1. Master the topological notions in IR;
2. Master the fundamental properties of elementary real variable real functions;
3. Master the concepts of differential calculus necessary to study real-valued functions of a real variable;
4. Model and solve optimization problems for differentiable functions;
5. Know how to approximate functions by polynomials;
6. Understand the concepts of nature and sum of a series, know and know how to apply the convergence criteria. Develop some functions in power series;
7. Master the antiderivative techniques;
8. Understand and know how to apply the notions of integral calculus and, in particular, the Fundamental Theorem of Calculus;
9. Know how to apply the main concepts and techniques of differential and integral calculus in IR in the different contexts of the specialty courses;
10. Demonstrate skills of analysis, calculation and deductive reasoning;
11. Demonstrate skills of reflection and criticism.

Curricular Unit Form