Calculus I, 2009
Acciones de Documento
MARINA DELGADO TÉLLEZ DE CEPEDA
Department of Mathematics
Universidad Carlos III de Madrid
Area:
Mathematics
Degree:
Bachelor in Audiovisual System Engineering, Communication System Engineering and Telematics Engineering
December, 2009
Image courtesy of Agelika
21 hours of lectures + 21 hours of problem class
Total time (including hours of class): 150 hours
PREREQUISITES AND PREVIOUS RECOMMENDED KNOWLEDGE
Elementary algebraic operations. Knowledge obtained from "bachillerato" or "módulo profesional" (highschool level).
GENERAL DESCRIPTION OF THE SUBJECT
Properties of real numbers. Real functions of one real variable. Continuity and derivability. Graphic representation. Polynomic approximation. Sequences and series of real numbers and of functions. Integration. Properties of the integral and calculus of antiderivatives. Calculation of plane areas, lengths and revolution volumes.
OBJECTIVES: KNOWLEDGE AND SKILLS
The student will be able to formulate, solve and understand mathematically the problems arising in engineering. To do so it is necessary, in this first course of Calculus, to be acquainted with the real functions of one variable, their properties of continuity, derivability, integrability and their graphic representation. The student will understand the concepts of derivative and integral and their practical applications. Also, he/she will manage sequences and series of real numbers and of functions that will apply to numeric approximation of functions and the resolution of equations.
STUDY MATERIALS
Lecture notes and presentations
Tests and exams
Problem sheets
GRADING
Tests and exams
Course Contents
