Calculus I

21 hours of lectures + 21 hours of problem class

Total time (including hours of class): 150 hours

 

PRERREQUISITES AND RECOMMENDED PREVIOUS KNOWLEDGE

Elementary algebraic operations. Knowledge obtained from "bachillerato" or "módulo profesional" (highschool level).

 

GENERAL DESCRIPTION OF THE COURSE

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.

TEACHING MATERIAL

Lecture notes and presentations.

Tests and exams.

Problem sheets.

PRACTICAL ASSIGMENTS AND ASSESSMENT ACTIVITIES

Tests and exams.