Educational guide
IDENTIFYING DATA 2023_24
Subject NUMERICAL AND ESTATISTICAL METHODS Code 00707006
Study programme
0707 - G.INGENIERÍA ELECT. INDUSTRIAL Y AUTOMÁTICA
Descriptors Credit. Type Year Period
6 Basic Training First Second
Language
Castellano
Prerequisites
Department MATEMATICAS
Coordinador
TROBAJO DE LAS MATAS , MARÍA TERESA
E-mail mttrom@unileon.es
aquic@unileon.es
Lecturers
TROBAJO DE LAS MATAS , MARÍA TERESA
QUIROS CARRETERO , ALICIA
Web http://
General description First part is an introduction to Numerical Methods. We present the main techniques about interpolation and curve fitting, and numerical integration. We also study algorithms to obtain numerical solutions of systems of linear and non-linear equations. Second part is devoted to Statistics. We focus our study on exploratory data analysis, Probability and Distribution Theory and Statistical Inference.
Tribunales de Revisión
Tribunal titular
Cargo Departamento Profesor
Presidente MATEMATICAS RODRIGUEZ SANCHEZ , CRISTINA
Secretario MATEMATICAS SAEZ SCHWEDT , ANDRES
Vocal MATEMATICAS CASTRO GARCIA , NOEMI DE
Tribunal suplente
Cargo Departamento Profesor
Presidente MATEMATICAS GOMEZ PEREZ , JAVIER
Secretario MATEMATICAS ARIAS MOSQUERA , DANIEL
Vocal MATEMATICAS VEGA CASIELLES , SUSANA

Competencias
Code  
A18643
B5655
B5656
B5664
B5665
B5666
C1 CMECES1 That students have demonstrated possession and understanding of knowledge in an area of study that is based on general secondary education, and is usually found at a level that, although supported by advanced textbooks, also includes some aspects that involve knowledge from the cutting edge of their field of study
C4 CMECES4 That students can transmit information, ideas, problems and solutions to both a specialised and non-specialised audience
C5 CMECES5 That students have developed those learning skills necessary to undertake further studies with a high degree of autonomy

Learning aims
Competences
The students understand the main concepts of numerical and statistical methods, and they apply them in solving mathematical problems appearing in engineerings. A18643
 B5655
 C1
Students show skills and abilities in analysis, synthesis, critical reasoning and decision making. B5656
B5664
B5665
Students apply the studied concepts in the elaboration of correct argumentations and reasonings. They are able to face up with situations where they need new mathematical knowledge and techniques. They have developed their autonomous learning skills. C5
Students are able to communicate mathematical ideas and information in oral and written form. B5656
B5666
 C4

Contents
Topic Sub-topic
PART I: NUMERICAL METHODS 1: NUMERICAL SOLUTION OF NONLINEAR EQUATIONS IN ONE VARIABLE.
Iterative methods: bisection, fixed point and Newton-Raphson.

2: POLYNOMIAL INTERPOLATION.
Lagrange interpolation polynomial. Hermite interpolation. Cubic splines.

3: LEAST SQUARES DATA FITTING.
General Linear Models. Particular cases: regression line quadratic and polynomial fitting. Nonlinear models.

4: NUMERICAL INTEGRATION METHODS.
Newton-Cotes rules. Composite methods: trapezoids and Simpson.
PART II: STATISTICAL METHODS 1: PROBABILITY.
Basic calculation of probabilities: Conditional probability. Bayes' theorem.

2: DESCRIPTIVE STATISTICS.
Data types and graphical representation. Interpretation and software.


3: RANDOM VARIABLES AND PROBABILITY DISTRIBUTITONS.
Basic discrete and continuous random variables. Probability distributions with software.

4: STATISTICAL INFERENCE.
Confidence intervals and hypothesis testing. Applications with software.

Planning
Methodologies  ::  Tests
  Class hours Hours outside the classroom Total hours
Problem solving, classroom exercises 20 32 52
 
Practicals using information and communication technologies (ICTs) in computer rooms 12 12 24
 
Lecture 22 22 44
 
Mixed tests 6 24 30
 
(*)The information in the planning table is for guidance only and does not take into account the heterogeneity of the students.

Methodologies
Methodologies   ::  
  Description
Problem solving, classroom exercises Numerical and statistical problems appearing in Engineering based on the theoretical concepts developed in the lectures
Practicals using information and communication technologies (ICTs) in computer rooms Practical problem solving with software
Lecture Theoretical concepts and practical methods needed to solve problems.

Personalized attention
 
Lecture
Problem solving, classroom exercises
Practicals using information and communication technologies (ICTs) in computer rooms
Description
Individual or grupal personalized attention.

Assessment
  Description Qualification
Problem solving, classroom exercises Problem solving 80%
Practicals using information and communication technologies (ICTs) in computer rooms Practicals with software 10%
Others Active class attendance 10%
 
Other comments and second call

Continuous assessment:

_________________________________________

Numerical problem solving test (40%)+Statistical solving test (40%). A minimum grade will be required  in order to  calculate the final grade.

Practicals (10%)

Active class attendance (10%). 

Second call

_________________________________________

Problem solving test + practical test (100%)

_________________________________________

In all tests: the use of mobile phones and other electronic devices is strictly forbidden, and will result in grade zero. Only the material specifically allowed by the instructors may be used.

Sources of information
Access to Recommended Bibliography in the Catalog ULE

Basic BURDEN, R.L y FAIRES, J.D., Métodos Numéricos, Thomson, 2006
Chapra, S.C., Canale, R.P., Métodos Numéricos para Ingenieros, McGraw-Hill, 2007
MILTON, S., Probabilidad y estadística con aplicaciones para ingeniería y ciencias computacionales, McGraw-Hill, 2004
DEVORÉ, J.L. , Probabilidad y Estadística para Ingeniería y Ciencias, Thomson, 2005
WALPOLE R. & MYERS R. & MYERS S., Probabilidad y Estadística para ingenieros, Prentice-Hall, 1999

Complementary E. Miranda, S. Montes y S. Díaz, Statistics for Engineers. Exercises with Solutions, Textos Universitarios ediuno,


Recommendations


Subjects that it is recommended to have taken before
LINEAR ALGEBRA AND GEOMETRY / 00707001
DIFFERENTIAL AND INGTEGRAL CALCULUS / 00707002