SPECIFIC LEARNING OBJECTIVES (PO a):
- To understand the notion of antiderivatives and indefinite integral.
- To understand the concept of Riemann integrability.
- To know the properties and techniques of integrations.
- To understand how to calculate double, triple, and multivariable integrals.
- To be able to apply the integral to calculate areas, volumes, and to solve some basic problems of Mathematical-Physics.
- To relate the notion of integrability with continuity and differentiability.
SPECIFIC ABILITIES (PO a, k):
- To be able to work with functions of one and several variables given in terms of a graphical, numerical or analytical description.
- To understand the concept of integrability and ability to solve problems involving this concept.
- To understand the concept of multiple integral and its practical applications.
- To determine the best strategies both numerically and analytically for solving practical problems involving integration.
- To know what is an integro-differential equation and the available strategies for solving these equations in different contexts.
GENERAL ABILITIES (PO a, g, k):
- To understand the necessity of abstract thinking and formal mathematical proofs.
- To acquire communicative skills in mathematics.
- To acquire the ability to model real-world situations mathematically, with the aim of solving practical problems.
- To improve problem-solving skills.
- To be able to use mathematical software in specific situations.
OTHER GENERAL ABILITIES:
- Students must be able to demonstrate knowledge and understanding of concepts in Integral Calculus and to apply them to solve problems in science and engineering with an ability for analysis and synthesis.
- Students must be able to formulate in mathematical language problems that arise in computer science and in different branches of mathematics.
- Students should show a notable knowledge and understanding of mathematical language and abstract-rigorous reasoning as well as to apply them to state and prove precise results in several areas in mathematics.
- Students should show that they understand the fundamental results from differential and integration calculus as whole mathematical analysis.