Identifying Data

2021/22

Subject (*)

Mathematics I [In extinction]

Code

670G01001

Study programme

Grao en Arquitectura Técnica

Descriptors

Cycle

Period

Year

Type

Credits

Graduate

1st four-month period

First

Basic training

Language

Spanish

Teaching method

Face-to-face

Prerequisites

Department

Matemáticas

Coordinador

Benitez Garcia, Marta

E-mail

marta.benitez@udc.es

Lecturers

Benitez Garcia, Marta

E-mail

marta.benitez@udc.es

Web

General description

Esta materia impártese no primeiro cuadrimestre do primeiro curso da titulación e forma parte dos 60 créditos básicos do título de Grao.
É por iso unha materia de tipo xeral, na que se trata de proporcionar ao alumnado uns coñecementos básicos de matemáticas e da súa aplicación en carreiras técnicas.
É validable en calquera outra carreira da rama científico-técnica.

Contingency plan

1. Modificacións nos contidos
Non hai cambios
2. Metodoloxías
*Metodoloxías docentes que se manteñen
Proba obxectiva
*Metodoloxías docentes que se modifican
Non hai
3. Mecanismos de atención personalizada ao alumnado
-Correo electrónico ou chat persoal por Microsoft Teams: Diariamente. De uso para facer consultas e solicitar encontros virtuais para resolver dúbidas.

-Videoconferencia en Microsoft Teams: Diariamente. De uso para realizar titorías individuais ou de pequeno grupo.
4. Modificacións na avaliación
Non hai cambios

*Observacións de avaliación: o alumnado pode ser convocado a unha sesión de videoconferencia en Microsoft Teams para explicar o entregado na proba obxectiva. A puntuación de dita proba dependerá da exposición oral realizada.

5. Modificacións da bibliografía ou webgrafía
Non hai cambios

Study programme competencies

Code	Study programme competences
A1	Adquirir os coñecementos fundamentais sobre matemáticas, estatística, física, química e acústica como soporte para o desenvolvemento das habilidades e destrezas propias da titulación.
A2	Adquirir os coñecementos fundamentais sobre os sistemas e aplicacións informáticas específicos e xerais utilizados no ámbito da edificación.
A8	Deseñar, calcular e executar estruturas de edificación.
A9	Deseñar, calcular e executar instalacións de edificación.
A19	Aplicar as técnicas, interpretar resultados e tomar decisións para o control da calidade da obra.
B1	Capacidade de análise e síntese.
B2	Capacidade de organización e planificación.
B3	Capacidade para a procura, análise, selección, utilización e xestión da información.
B4	Coñecementos de informática relativos ao ámbito de estudo.
B5	Capacidade para a resolución de problemas.
B6	Capacidade para a toma de decisións.
B7	Capacidade de traballo en equipo.
B12	Razoamento crítico.
B14	Aprendizaxe autónomo.
B16	Capacidade de aplicar os coñecementos na práctica.
B25	Hábito de estudo e método de traballo.
B26	Capacidade de razoamento, discusión e exposición de ideas propias.
B27	Capacidade de comunicación a través da palabra e da imaxe.
B28	Capacidade de improvisación e adaptación para enfrontarse a novas situacións.
C1	Adequate oral and written expression in the official languages.
C3	Using ICT in working contexts and lifelong learning.
C4	Acting as a respectful citizen according to democratic cultures and human rights and with a gender perspective.
C5	Understanding the importance of entrepreneurial culture and the useful means for enterprising people.
C6	Acquiring skills for healthy lifestyles, and healthy habits and routines.
C7	Developing the ability to work in interdisciplinary or transdisciplinary teams in order to offer proposals that can contribute to a sustainable environmental, economic, political and social development.
C8	Valuing the importance of research, innovation and technological development for the socioeconomic and cultural progress of society.

Learning aims

Learning outcomes	Study programme competences
To consolidate student’s knowledge of calculus and cover gaps in relation to some basic contents, by encouraging the relationship between theory and practice.	A1	B1 B3 B5 B7 B16	C3 C6 C7 C8
To know and to connect the basic concepts and fundamental tools of calculus, and to be fluent in mathematical language appearing in the subject.	A1	B1 B5 B7 B12 B14	C3 C6 C7 C8
To get ability of thinking in an abstract way from the concrete, and to apply abstract results to concrete situations.	A1 A8 A9	B1 B3 B5 B27	C1 C3 C6 C7 C8
To know some mathematical models required for the formulation and solving of problems in construction sector.	A1 A8 A9 A19	B1 B3 B5 B6 B7	C3 C4 C6 C7 C8
To become aware that knowledge, skills and abilities achieved through the study of this subject are fundamental for academic career and future	A1 A8 A9	B1 B2 B3 B4 B5 B6 B7 B25 B26	C3 C4 C5 C6 C7 C8
To consolidate knowledge of statistics and probability.	A1 A8 A9	B1 B3 B4 B5 B6 B7	C1 C3 C4 C7 C8
To acquire fundamental knowledge of specific and general computer applications used in construction sector.	A2	B28

Contents

Topic	Sub-topic
SUBJECT 1.- FUNCTIONS OF ONE VARIABLE	1.1.- Definition and basic concepts. 1.2.- Limit of a function at a point. Properties. Operations. Infinite limits and limits at infinity. 1.3.- Continuity. Discontinuities. Properties of continuous functions. 1.4.- Derivative. Properties. Geometrical meaning. Chain rule. Taylor polynomial. 1.5.- Interpolation.
SUBJECT 5.- STATISTICS AND PROBABILITY	5-1 STATISTICS: 5-1.1 Statistics descriptive for one variable. 5-1.2 Previous concepts. Frequency tables. 5-1.3 Graphic representation. Characteristic measurement, position, dispersion 5-1.4 Statistics descriptive for several variables. 5-1.5 Bidimensional variable. Frecuency distribution. Graphic representation. Regression and correlation 5-2 PROBABILITY: 5-2.1 Probability. Random experiment. Sample space. Events. Probability definition. 5-2.2 Conditional probability. Independent events. Product and total probabilities rules. Bayes’ theorem. 5-2.3 Probability distribution. Aleatory variable discrete and continuous. Expectation and variance. 5-2.4 Binomial distribution. Normal distribution 5-2.5 Introduction to statistical inference
SUBJECT 3.- INTEGRATION OF FUNCTIONS	3.1.- Concept of primitive. Properties. 3.2.- Methods of integration. Primitive calculus. 3.3.- Improper integrals. 34.- Geometrical applications. Areas, volumes, lengths. 3.5.- Numerical integration.
SUBJECT 4.- DIFFERENTIAL EQUATIONS. NUMERICAL METHODS.	4.1.- Definition and basic concepts. 4.2.- First order differential equations: separated variables, homogeneous, linear. 4.3.- Numerical methods: Euler, Runge-Kutta.
SUBJECT 2.- FUNCTIONS OF SEVERAL REAL VARIABLES	2.1.- Definitions and basic concepts. 2.2.- Limit. Properties. Operations. 2.3.- Continuity. 2.4.- Differentiation. Partial derivatives. Properties. 2.5.- Tangent plane and normal straight. 2.6.- Relative extremes with and without constrains. Lagrange multipliers method.
Attached: Computer programm MAXIMA	Problems may be solved assisted by the computer programm Maxima

Planning

Methodologies / tests	Competencies	Ordinary class hours	Student’s personal work hours	Total hours
Objective test	A1 A2 A8 A9 A19 B1 B2 B3 B4 B5 B6 B7 B12 B14 B16 B25 B26 B27 B28 C1 C3 C4 C5 C6 C7 C8	3	142	145

Personalized attention		5	0	5

(*)The information in the planning table is for guidance only and does not take into account the heterogeneity of the students.

Methodologies

Methodologies	Description
Objective test	Exame final que incluirá cuestións teórico-prácticas e exercicios prácticos.

Personalized attention

Methodologies

Objective test

Description

A atención personalizada que se describe en relación con esta metodoloxía, concíbese como momentos de traballo presencial para o alumnado co profesor. En concreto, as máis relevanes, son as titorías individualizadas.

Assessment

Methodologies	Competencies	Description	Qualification
Objective test	A1 A2 A8 A9 A19 B1 B2 B3 B4 B5 B6 B7 B12 B14 B16 B25 B26 B27 B28 C1 C3 C4 C5 C6 C7 C8	Consistirá nunha proba escrita que incluirá cuestións teórico-prácticas e exercicios prácticos.	100

Assessment comments

Sources of information

Basic	Frank Ayres, Jr (2010). Cálculo (5ª edición). Mc-Graw-Hill Alfonsa García y otros (2007). CÁLCULO I . CLAGSA Alfonsa García y otros (2002). Cálculo II. CLAGSA Larson - Hostetler (1999). CÁLCULO Y GEOMETRÍA ANALÍTICA. Mc Graw Hill Burgos, Juan de (2008). Fundamentos matemáticos de la Ingeniería (Álgebra y Cálculo). Madrid: García-Maroto García Merayo, Félix (1997). MÉTODOS NUMERICOS EN FORMA DE EJERCICIOS. Universidad Pontificia de Comillas

Complementary	Burden, Richard L. (2011). Análisis Numérico. México: Cengage Learning Adams, Robert A. (2009). CÁLCULO. Madrid:Prentice Hall Simmons, George F. (1996). ECUACIONES DIFERENCIALES CON APLICACIONES Y NOTAS HISTÓRICAS. Madrid: McGraw-Hill Bartoll Arnau, S. y otros (2009). FUNDAMENTOS MATEMÁTICOS EN ARQUITECTURA. Valencia: Editorial de la UPV Ramos del Olmo-Rey Cabeza J.M. (2017). Matemáticas básicas para el acceso a la universidad. Ed. Pirámide Miller, Irwin (2004). Probabilidad y estadística para Ingenieros. Barcelona: Reverté

Recommendations

Subjects that it is recommended to have taken before

Subjects that are recommended to be taken simultaneously

Mathematics II [In extinction]/670G01006

Subjects that continue the syllabus

Other comments

To study this subject, it is important that students have mathematical knowledge corresponding to the science area.

To understand and pass other subjects in the career, it is positive to master this subject.

(*)The teaching guide is the document in which the URV publishes the information about all its courses. It is a public document and cannot be modified. Only in exceptional cases can it be revised by the competent agent or duly revised so that it is in line with current legislation.