Description

Theory
2

Theory/Practice
2

Instructors

Alzira Faria

Contents

CP1. Complements to differential calculus in IR: complementing the study of real functions of a real; concept and geometric interpretation of the differential of a real function of a real variable.
CP2. Primitive of a real function of a real variable: definition and properties; immediate and quasi-immediate primitive; primitive by algebraic decomposition; primitive of rational fractions; primitive by substitution; primitive by parts.
CP3. Definite integral: Geometric interpretation and elementary applications; illustration of the calculation and properties of the definite integral; techniques of integration of the definite integral and applications of the definite integral.
CP4. Improper integral: convergence criteria; properties and calculation methods.
CP5. Numerical series.
CP6. Functional series.

Learning Outcomes

The course is geared towards developing the capacity of abstraction in the field of formulation and solution of engineering problems, strengthen and complement the previously acquired mathematical training and obtain training in the field of fundamental mathematics differential and integral calculus one-dimensional, numerical series and functional.
It is intended that the student can:
O1: By introducing a real function of real variable will correctly apply the rules of derivation;
O2: By introducing a real function of real variable must correctly identify the applicable integration techniques;
O3: Upon presentation of a problem, interpret it geometrically to properly apply the techniques of differentiation and integration;
O4: By presenting a series of numerical study its convergence using the appropriate criteria;
O5: By introducing a function, determine its development in Taylor series.