Syllabus 9956001101 - MATEMÁTICAS APLICADAS
First year course. Contents: Linear algebra; Geometry; Conic sections; real functions: limits and continuity; Differentiation; Integration.
The overall objective of this course is to equip students with knowledge and skills relating to the concepts and basic problems of linear algebra and calculus, mainly one-variable analysis. Additionally, it provides a scientific approaching to real-life problems in architecture.
- CB1: Although the students come from general secondary education, they have shown they possess and comprehend knowledge which is supported by advanced textbooks and may reach the forefront of their field of study.
- CB2: The students can apply their knowledge to their work or vocation in a professional way and can demonstrate it by devising and defending arguments and solving problems within their field of study.
- CB3: The students have the ability to amass and interpret relevant data (usually within their field of study) to make judgments which include a reflection on relevant social, scientific or ethical topics.
- CB5: The students have developed the learning skills necessary to undertake later studies with a high degree of autonomy.
- CG1: Knowing the history and theories in Architecture, as well as arts, technologies and humanities related with it.
- CT2: Self-esteem.
- CT4: Communication skills: The student will be able to express concepts and ideas effectively, including the ability to communicate concisely and precisely, both orally and in writing.
- CT9: Planning: The student will be able to decide his/her goals and priorities, defining, respecting and valuing the ideas and proposals of the rest of the team.
- CE11: Applied knowledge of numerical calculus, analytical and differential geometry, and algebra methods.
- Algebra structures. Matrices, determinants and systems of linear equations.
- Vector spaces. Linear maps.
- Fundamentals of geometry and quadratic forms.
- One-variable real functions: limits, continuity and differentiation.
- Fundamentals of two-variable calculus.
- Fundamentals of discrete mathematics, descriptive statistics, linear programming.
- Lectures and presentations by the instructor
- Solving exercises and problems
- Realization of essays by cooperative learning, presentations and expositions
- Independent study by the student
- Tutorials and other guided study activities
- The student will be evaluated with a continuous evaluation system, with periodical personal interviews, weighting the results achieved by the student.
- Depending on the competences to evaluate and the taxonomy of the targets, the evaluation instruments will include knowledge, skills and attitudes.
- The evaluation finishes with an acknowledgement of the learning level achieved by the student. It is expressed with numerical grades, according to current legislation.
This subject is taught in Spanish or English depending on the group.
- Master Classes
- Collaborative learning
- Problem based Learning (PBL)
- Directed study