Syllabus Information

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.

5.2. Learning tasks

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