30202 - Mathematics I

Syllabus Information

2017/18
Subject:
30202 - Mathematics I
Faculty / School:
110 - Escuela de Ingeniería y Arquitectura
326 - Escuela Universitaria Politécnica de Teruel
Degree:
439 - Bachelor's Degree in Informatics Engineering
443 - Bachelor's Degree in Informatics Engineering
ECTS:
6.0
Year:
1
Semester:
First semester
Subject Type:
Basic Education
Module:
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5.1. Methodological overview

The teaching methodology will include:

• - Master classes (theory and problems) (42 hours)
• - Resolution of exercises.
• - Computer sessions (6 sessions of  2 hours).
• - Tutorial sessions.
• - Partial exam. (3 hours)
• - Final exam (3 hours)

It is necessary a continuous working to get a right knowlegde of this subject.

1. In master classes the subject is explained in detail. It is very convenient that students ask their douts in the classroom and propose alternative solutions.
2. In practical classes, students solve problems by own.
3. In computer sessions, they  use mathematical software to resolve some exercises and compare with solutions obtained by hand.
4. Tutorial sessions are given in office's teacher about particular and personal work made by students.
5. Exercise sheets and additional material will be availble for students.

The teaching methodology will include the following learning activities:

- Master classes in large groups where the knowledge that the students must acquire will be presented.

- Resolution of exercises by the student that will serve as self-evaluation and to acquire the necessary skills.

- Computer sessions oriented to practical knowledge related with the fields of the course.

- Tutorial sessions, individual and voluntary, in which students will have the possibility to consult their doubts and questions on the subject to the teacher. The time and place of these sessions will be set by the teacher at the beginning of the course.

5.3. Syllabus

The theoretical content of the course consists of the following five chapters:

• 1. Real numbers, complex numbers and elementary functions.
• 2. Numerical series.
• 3. Limits and continuity of functions in one variable.
• 4. Differential and integral calculus of functions in one variable.
• 5. Approach of functions, series of functions; numerical derivation and integration.

Each computer practices correspond with regard to each of the chapters aforementioned

5.4. Course planning and calendar

There are three hours per week in first semester for master and exercises classes, following the official timetable given by the Escuela of Ingenieria y Arquitectura in the University of Zaragoza.

Computer lessons take place in the two hours per two week for every student.

Exams and other personal evaluation will be communicate with enough time in advance.

5.5. Bibliography and recommended resources

 ZARAGOZA BB 1. Burden, Richard L.. Análisis numérico / Richard L. Burden, J. Douglas Faires . 6a ed.,rev. México [etc.] : International Thomson, cop. 1998 BB 2. Burgos Román, Juan de. Cálculo infinitesimal de una variable / Juan de Burgos Román . 2ª ed. en español Madrid [etc.] : McGraw-Hill, D.L. 2006 BB 3. Galindo Soto, Félix. Guía práctica de cálculo infinitesimal en una variable real / Félix Galindo Soto, Javier Sanz Gil, Luis A. Tristán Vega . - 1ª ed. Madrid [etc.] : Thomson, D. L. 2003 BB 4. Kincaid, David. Análisis numérico : las matemáticas del cálculo científico / David Kincaid y Ward Cheney ; versión en español de Rafael Martínez Enríquez y Carlos Torres Alcaraz . Wilmington, Delaware : Addison-Wesley Iberoamericana, cop. 1994 BB 5. Rogawski, Jon. Cálculo : una variable / Jon Rogawski ; versión española traducida por, Gloria García García ; revisado por, Martín Jimeno Jiménez . - 2ª ed. orig. Barcelona : Reverté, D.L. 2012 BB 6. Tomeo Perucha, Venancio. Problemas resueltos de cálculo en una variable / Venancio Tomeo Perucha, Isaías Uña Juárez, Jesús San Martín Moreno . Madrid : Thomson-Paraninfo, D. L. 2007