25870 - Mathematics II
110 - Escuela de Ingeniería y Arquitectura
558 - Bachelor's Degree in Industrial Design and Product Development Engineering
Basic Education
3.2. Competences
BC01. Students have demonstrated knowledge and understanding in a field of study that is part of the general secondary education curricular, and is typically at a level which, although it is supported by advanced textbooks, includes some aspects that involve knowledge of the forefront of their field of study.
BC02. Students can apply their knowledge to their work or vocation in a professional manner and have competences typically demonstrated through devising and defending arguments and solving problems within their field of study.
BC03. Students have the ability to gather and interpret relevant data (usually within their field of study) to inform judgments that include an important reflection on social, scientific or ethical issues.
BC04. Students can communicate information, ideas, problems and solutions to both specialist and non-specialist audiences.
BC05. Students have developed those skills needed to undertake further studies with a high degree of autonomy.
GC04. Ability to organize time effectively and coordinate activities to acquire new knowledge quickly and perform under pressure.
GC05. Capacity to collect, manage, analyze and synthesize information from various sources for the development of design projects and product development. Capacity to use this documentation to obtain conclusions aimed at solving problems and making decisions with initiative, creativity and critical thinking, in order to generate new product concepts, new ideas and solutions.
GC06. Ability to generate the necessary documentation for the proper transmission of ideas through graphics, reports and technical documents, models and prototypes, oral presentations in Spanish and other languages.
GC07. Ability to use and master techniques, skills, tools and techniques and communication and others specific of design engineering needed for design practice.
GC08. Ability to learn continuously, to develop autonomous learning strategies and to work in multidisciplinary groups with motivation and determination to achieve goals.
SC01. Ability to solve mathematical problems that may arise in Engineering in Industrial Design and Product Development. Ability to apply knowledge of linear algebra; geometry; differential geometry; differential and integral calculus; differential equations and partial differential equations; numerical methods; numerical algorithmic; statistical and optimization.
BC:BASIC COMPETENCES. GC: GENERAL COMPETENCES. SC: SPECIFIC COMPETENCES.
5.1. Methodological overview
This course is divided into:
- Lectures (theory and problem solving) (42 hours).
- Computer lab sessions (12 hours).
- Group work (20 hours).
- Study time (73 hours).
- Exams (3 hours).
Lectures, problem solving and computer lab activities will be used to achieve students learn the topics of the subject. Computer lab sessions will take place in a laboratory. We will make use of Maxima, a computer algebra system. Group work will be guided by regular meetings with the teachers and seminars about the covered topics.
5.2. Learning tasks
1. Lectures.
Lectures will take place three hours a week, until complete 42 hours. Topics will be presented using the blackboard and computer presentations. Theoretical content, illustrative examples and problem solving will be combined during the lectures.
2. Computer lab sessions.
There will be 6 computer lab sessions. Each session is scheduled for 2 hours. The mathematical software Maxima will be used in this course. The emphasis is on the graphic, symbolic and numerical aspects of the subject. The problems are designed to force the student to engage in critical, analytic, and interpretive thinking beyond rote manipulation of calculus formulas.
3. Group work.
Group work will be guided by regular meetings and seminars, where the teacher will provide help and feedback. Group sizes are between 2-4 students. Different types of work may be proposed with some or all of the subjects of the first semester.