Course code: 501206 | Subject title: MATHEMATICS II | ||||
Credits: 6 | Type of subject: Basic | Year: 1 | Period: 2º S | ||
Department: Mathematics and Computer Engineering | |||||
Lecturers: | |||||
ROLDAN MARRODAN, ANGEL TEODORO (Resp) [Mentoring ] |
Funciones, límites y continuidad. Conceptos básicos sobre funciones escalares o vectoriales de una o varias variables reales. Funciones elementales. Conjuntos de nivel. Límites. Continuidad de una función en un punto. Propiedades de funciones continuas.
Espacios vectoriales sobre R: Subespacios. Base y dimensión
Cálculo vectorial: campos vectoriales en R2 y R3. Divergencia y rotacional, integrales de línea, campos conservativos, función potencial, teorema de Green, integrales de flujo, teorema de Stokes, teorema de divergencia. Circulación y flujo.
R1- Operate with elementary functions (polynomial, rational, trigonometric, logarithmic, exponential...); know the fundamental properties of these functions and become familiar with the ideas of limit, continuity and derivability.
R2 - Work with analytical expressions and know how to simplify them.
R3 - Know geometric concepts related to functions of one and several variables: function graphs, curves and level surfaces, parameterized curves and surfaces.
R4- Identify and solve different integrals: single, double, triple, surface, line, their physical origin and their use in engineering problems.
R5- Know and apply fundamental theorems of calculus: Green, Stokes and Divergence.
R6- Identify and solve simple differential equations: first order and second order with constant coefficients equations.
R7- Manejar un procesador simbólico a nivel de usuario
RESULTADOS DE APRENDIZAJE ENAEE
ENAEE-1: Conocimiento y compresión de los principios científicos y matemáticos que subyacen a su rama de ingeniería.
The course consists of 6 credits, distributed in 4.5 theoretical and 1.5 practical credits. The whole-class theoretical lessons include the description of basic concepts and methods. The small-group practical sessions are devoted to the solution of problems and applications. Finally, teacher-assisted tutoring is available for students all along the semester in order to solve possible queries and questions arising in the study of the subject. The following table shows the distribution of the activities in the course:
Methodology - Activity | On-site hours | Off-site hours |
A-1: Theoretical lessons | 41 | |
A-2: Practical lessons | 15 | |
A-3: Discussion | 4 | |
A-6: Individual study | 80 | |
A-7: Exams and assessment | 4 | |
A-8: Individual tutoring | 10 | |
TOTAL | 70 | 80 |
Resultado de aprendizaje | Sistema de evaluación | Peso (%) | Carácter recuperable |
R1, R2, R3, R4, R5, R6, R7 | Written exams and assessments after each unit | 35% | No |
R1, R2, R3, R4, R5, R6, R7 | Final exam | 65% | Yes |
The contents of the course are assessed by means of written exams and assessments. There is a continuous assessment which involves the 35% of the final mark. The rest of the contents of the subject will be assessed in a final exam, and will involve the 65% of the final mark.
Access the bibliography that your professor has requested from the Library.
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