Syllabus 2015-16 - 13212002 - Mathematical Cartography (Cartografía matemática)

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• Level 1: Tutorial support sessions, materials and exams in this language
• Level 2: Tutorial support sessions, materials, exams and seminars in this language
• Level 3: Tutorial support sessions, materials, exams, seminars and regular lectures in this language
 DEGREE: Grado en Ingeniería geomática y topográfica FACULTY: SCHOOL OF ENGINEERING OF JAÉN ACADEMIC YEAR: 2015-16 COURSE: Mathematical Cartography
SYLLABUS
1. COURSE BASIC INFORMATION
 NAME: Mathematical Cartography CODE: 13212002 ACADEMIC YEAR: 2015-16 LANGUAGE: English LEVEL: 1 ECTS CREDITS: 6.0 YEAR: 2 SEMESTER: PC
2. LECTURER BASIC INFORMATION
 NAME: UREÑA CÁMARA, MANUEL ANTONIO DEPARTMENT: U119 - INGENIERÍA CARTOGR. GEODESICA Y FOTOGRAM FIELD OF STUDY: 505 - INGENIERÍA CARTOGRÁFICA, GEODÉSICA Y FOTOGRAMETRÍA OFFICE NO.: A3 - 338 E-MAIL: maurena@ujaen.es P: 953212852 WEBSITE: http://coello.ujaen.es ORCID: https://orcid.org/0000-0002-6373-4410 LANGUAGE: English LEVEL: 1
3. CONTENT DESCRIPTION

Detailed contents of Mathematical Cartography

THEORETICAL PROGRAM

Objective: To acquire knowledge and general capacities about reference systems, projections and transformation between them.

Lesson 1. Introduction. Differential geometry of surfaces.

Earth shape (Introduction. Geoid. Ellipsoid. Geographical coordinates. Datum. Map Projection. Map scales. Reference systems).

Lesson 2. ISO Standards related to reference systems and projections. EPSG.

ISO 19111, 19112, 6709, etc. EPSG Reference System Catalog and Transformations

Lesson 3. First approach to CRS transformations and Projection transformations. EPSG. Cartographic adjustments.

Transformations and conversions between references systems and projections. EPSG Catalog of these transformations. Cartographic adjustments (2D adjust, Rubber Sheeting, ...).

Lesson 4. Differential geometry.

Differential geometry of surfaces (Distortions. Tissot's indicatrix. Map projection properties. Map projections parameters. Classification of map projections based on properties and geometry.

Lesson 5. Map projections (Planes and based on developable surfaces). UTM.

Azimuthal and Plane based map projections.

Projections based on developable surfaces (Conics, Lambert conformal projection. Cylindrical, Mercator's projection).

UTM (Convergence, distance scale factor, UTM grid, coordinate transformations, etc.).

PRACTICAL PROGRAM

Objective 1: To acquire knowledge to find help about problems mathematical cartography.

Objective 2: To solve general problems of mathematical cartography.

Objective 3: To quantify distortions of map projections. To choose the adequate map projection based on the use and these distortions

Objective 4: To be capable of transforming point data.

Objective 5: To program several solutions in mathematical cartography.

Previous objectives are developed in the following practices:

• Introduction: Web links, ISO standards, etc. Geoid models and standards. Metadata about map projections and common reference systems.
• Direct and inverse transformation in map projections. Implementation of these transformations.
• Polynomial transformation of point data. Parameter determination between homologous point data. Implementation.
• Rubber sheeting transformation of point data. Parameter determination between homologous point data. Implementation.
• Area distortion, lineal distortion and angular distortion calculation of several map projections. Practical applications.

4. COURSE DESCRIPTION AND TEACHING METHODOLOGY

• Theoretical lessons will develop the theoric subjects and proposing activities in order to incentivate student participation.
• Practical lessons will be divided in an introductory part describing the lessons and solving example problems and a second part developed by the student following the previous examples.

Students with special educational needs should contact the Student Attention Service (Servicio de Atención y Ayudas al Estudiante) in order to receive the appropriate academic support

5. ASSESSMENT METHODOLOGY

• Aspect S2: Knowledge of theorical and practical contents of the subject:
• Abilities: CE25,CE30, CT2.
• Results : 5.
• Aspect S4: Homework problem resolutions and discussions.
• Abilities: CE25,CE30, CT4, CT6.
• Results to evaluate: 5.