Universidad de Jaén

Topic 1. Introduction to functions of several variables

Topology of the Euclidean space. Limits for multivariate functions. Multivariate differentiation. Chain rule. Implicit function theorem. Extrema of multivariate functions.

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 (5%)

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 0.5 points.

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 (15%)

A written work will be given, consisting in the elaboration of a solution of some of the exercises proposed in the practice classes. Up to a maximum score 0f 0.5 points.

In the last practice session, using TIC tools, a written test will be done on practical problems and exercises. Up to a maximum score of 1 point.

The score obtained for item S3 will be kept for all the official examination calls along the course.

Failling that, in the extraordinary call, it may be decided by carry out an exercise in the corresponding examination.

Competencies evaluated by S1): CB1, CBB1R

Competencies evaluated by S2): CB1, CBB1R

Competencies evaluated by S3): CB1, CBB1R