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Syllabus 2016-17 - 13411002 - Advanced Mathematics (Ampliación de matemáticas)
- 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 mecánica (13411002) |
FACULTY: | SCHOOL OF ENGINEERING OF JAÉN |
DEGREE: | Grado en Ingeniería eléctrica (13511002) |
FACULTY: | SCHOOL OF ENGINEERING OF JAÉN |
DEGREE: | Grado en Ingeniería electrónica industrial (13111002) |
FACULTY: | SCHOOL OF ENGINEERING OF JAÉN |
DEGREE: | Grado en Ingeniería de organización industrial (13011002) |
FACULTY: | SCHOOL OF ENGINEERING OF JAÉN |
ACADEMIC YEAR: | 2016-17 |
COURSE: | Advanced Mathematics |
NAME: Advanced Mathematics | |||||
CODE: 13411002 (*) | ACADEMIC YEAR: 2016-17 | ||||
LANGUAGE: English | LEVEL: 3 | ||||
ECTS CREDITS: 6.0 | YEAR: 2 | SEMESTER: PC |
NAME: LÓPEZ MORENO, ANTONIO JESÚS | ||
DEPARTMENT: U124 - MATEMÁTICAS | ||
FIELD OF STUDY: 595 - MATEMÁTICA APLICADA | ||
OFFICE NO.: B3 - 28 | E-MAIL: ajlopez@ujaen.es | P: 953212932 |
WEBSITE: www4.ujaen.es/~ajlopez | ||
ORCID: https://orcid.org/0000-0001-6701-7550 | ||
LANGUAGE: English | LEVEL: 3 |
Topic 1. Introduction to functions of several variables
Topology of the Euclidean space. Limits for multivariate functions. Multivariate differentiation. Chain rule. Implicit function theorem
Topic 2. Differential geometry.
Parametrized curves. Frenet formula. Parametrized surfaces.
Topic 3. Integration of multivariable functions.
Two and three variables integration.
Topic 4. Line and surface integral.
Line integral. Surface integral. Fundamental theorems of vector calculus.
Topic 5. Partial differential equations.
Basic concepts. Fourier series. Classic partial differential equations.
45 hours of regular classes in classroom,
15 hours of classes in computer classroom under the supervision of professor.
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
S1) Class attendance and participation in the activities and on-line activities of the course (10%)
Professor will weight student participation in the resolution of the various activities that arise as well as attendance at tutorials. The maximum score in this section is 1 point.
The score obtained for item S1 will be kept for all the official examination calls along the course.
S2) theoretical/practical exam (80%)
The exam will consist of short exercises and / or long problems and it will be rated up to 8 points. To pass the course is necessary to obtain a score equal to or greater than 4 points.
S3) Presentation of additional works and/or exercises (10%)
Students must perform practical assignments.
The professor will assign up to 1 point for the presentation of proposed works and/or exercises.
- Calculus. Edition: 2nd ed.. Author: Marsden, Jerrold E.. Publisher: New York, [etc.]: Springer, 1985 (Library)