Syllabus query

Academic Year/course: 2017/18

470 - Bachelor's Degree in Architecture Studies

30701 - Mathematics 1

Syllabus Information

Academic Year:
30701 - Mathematics 1
Faculty / School:
110 - Escuela de Ingeniería y Arquitectura
470 - Bachelor's Degree in Architecture Studies
First semester
Subject Type:
Basic Education

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  hand-outs  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



- 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

Scheduling of examinations is agreed by the School Board  and are avalaible at

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, (4a Ed.), 2002