Academic Year/course:
2017/18
470  Bachelor's Degree in Architecture Studies
30701  Mathematics 1
Syllabus Information
Academic Year:
2017/18
Subject:
30701  Mathematics 1
Faculty / School:
110  Escuela de Ingeniería y Arquitectura
Degree:
470  Bachelor's Degree in Architecture Studies
ECTS:
6.0
Year:
1
Semester:
First semester
Subject Type:
Basic Education
Module:

5.1. Methodological overview
Most of central ideas and topics are given by lectures to the whole group of students. They break up into small groups of 15 to 20 students for problem classes and computer classes. The problem classes allow students to work out handouts under the close assistance and guideline of the teacher. In addition, there are computer sessions every two weeks which allow to emphasize numerical aspects of the subject.
For the proper monitoring of the subject the student must perform an ongoing study sice the first day of class. To support the student will have the assistence of Professor, both in the classroom and in the tutorial sesions.
5.2. Learning tasks
Lectures, computer classes, problem classes, group work, personal work, tutorials, evaluation.
5.3. Syllabus
Algebra
 Algebraique structures.
 Linear spaces. Properties.
 Linear aplications. Matricial representation.
 Diagonalization. Applications.
Affine and euclidean geometry
 Geometrical applications of linear Algebra. Basic concepts on affine geometry and its most important elements.
 Metric geometry. The golden proportion.
Calculus. Functions of one variable
 Real functions of real variable. Limits and continuity.
 Derivability. Applications.
 Aproximation.
 Integration. Geometrical applications.
 Numerical methods.
5.4. Course planning and calendar
Schedules and classrooms for lectures, problem classes and computer classes may be found at http://eina.unizar.es
Scheduling of examinations is agreed by the School Board and are avalaible at http://eina.unizar.es
Deadlines for intermediate examination and submission of group work will be announced in advance.
5.5. Bibliography and recommended resources

Bibliography
David C. Lay, “Álgebra lineal y sus aplicaciones”
Pearson Addison Wesley (3ª Ed.), 2007.
Gilbert Strang, “Álgebra lineal y sus aplicaciones”
International Thomson, (4ª Ed.), 2007.
Salas, Hille y Etgen, “Calculus. Una y varias variables”
Reverté, (4^{a} Ed.), 2002