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Differential and Integral Calculus II
- Centre
- Faculty of Science and Technology
- Degree
- Bachelor's Degree In Mathematics
- Academic course
- 2024/25
- Academic year
- 2
- No. of credits
- 15
- Languages
- Spanish
- Basque
TeachingToggle Navigation
Study type | Hours of face-to-face teaching | Hours of non classroom-based work by the student |
---|---|---|
Lecture-based | 90 | 135 |
Seminar | 15 | 22.5 |
Applied classroom-based groups | 45 | 67.5 |
Teaching guideToggle Navigation
AimsToggle Navigation
COMPETENCIAS ESPECÍFICAS:
- M15CM10: Comprender los conceptos métricos y topológicos básicos del espacio euclídeo n-dimensional.
- M15CM11: Comprender los conceptos de continuidad y diferenciabilidad de funciones de varias variables.
- M15CM12: Saber las técnicas del cálculo de derivadas de funciones de varias variables, derivadas parciales, derivadas direccionales y regla de la cadena.
- M15CM13: Saber aplicar los teoremas de la función implícita y función inversa en diferentes cálculos.
- M15CM14: Conocer las técnicas del cálculo de extremos (absolutos y relativos) de funciones de varias variables.
- M15CM15: Saber plantear y resolver integrales de Riemann de funciones de varias variables, integrales de línea y de superficie, así como conocer sus aplicaciones geométricas y físicas.
- M15CM16: Conocer el significado geométrico y físico de los teoremas vectoriales para el cálculo de integrales de línea y superficie.
- M15CM17: Calcular series de Fourier de funciones elementales y conocer sus propiedades y sus tipos de convergencia.
RESULTADOS DE APRENDIZAJE:
- Manejar las propiedades de sucesiones y series, relacionar los conceptos de convergencia y acotación.
- Resolver integrales múltiples, de línea y de superficie y aplicar con destreza los teoremas vectoriales.
- Plantear y resolver problemas geométricos (gráficas de funciones, longitudes, áreas, volúmenes) y físicos (centros de gravedad, masa, momentos de inercia) con ayuda del cálculo diferencial e integral.
TemaryToggle Navigation
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MethodologyToggle Navigation
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Assessment systemsToggle Navigation
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Compulsory materialsToggle Navigation
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BibliographyToggle Navigation
Basic bibliography
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In-depth bibliography
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GroupsToggle Navigation
16 Teórico (Spanish - Tarde)Show/hide subpages
Weeks | Monday | Tuesday | Wednesday | Thursday | Friday |
---|---|---|---|---|---|
1-1 | 17:00-18:00 | ||||
1-2 | 15:00-16:00 | ||||
1-3 | 14:00-15:00 | ||||
1-15 | 16:00-17:00 | ||||
3-3 | 16:00-17:00 | ||||
4-11 | 15:00-16:00 | ||||
5-11 | 14:00-15:00 | ||||
12-12 | 14:00-15:00 | ||||
14-14 | 15:00-16:00 | ||||
16-19 | 15:00-16:00 | ||||
16-22 | 16:00-17:00 | ||||
16-28 | 15:00-16:00 | ||||
16-30 | 14:00-15:00 | 16:00-17:00 | |||
21-26 | 15:00-16:00 | ||||
25-25 | 16:00-17:00 | ||||
28-28 | 15:00-16:00 | ||||
29-29 | 14:00-15:00 |
Teaching staff
16 Seminar-1 (Spanish - Tarde)Show/hide subpages
Weeks | Monday | Tuesday | Wednesday | Thursday | Friday |
---|---|---|---|---|---|
4-10 | 14:00-15:00 | ||||
13-14 | 14:00-15:00 | ||||
17-23 | 17:00-18:00 | ||||
22-24 | 17:00-18:00 | ||||
25-25 | 17:00-18:00 | ||||
26-29 | 17:00-18:00 |
16 Seminar-2 (Spanish - Tarde)Show/hide subpages
Weeks | Monday | Tuesday | Wednesday | Thursday | Friday |
---|---|---|---|---|---|
4-10 | 15:00-16:00 | ||||
13-14 | 15:00-16:00 | ||||
17-23 | 15:00-16:00 | ||||
22-24 | 15:00-16:00 | ||||
25-25 | 15:00-16:00 | ||||
26-29 | 15:00-16:00 |
16 Applied classroom-based groups-1 (Spanish - Tarde)Show/hide subpages
Weeks | Monday | Tuesday | Wednesday | Thursday | Friday |
---|---|---|---|---|---|
2-15 | 17:00-18:00 | ||||
5-5 | 16:00-17:00 | ||||
12-13 | 15:00-16:00 | ||||
15-15 | 14:00-15:00 | ||||
16-20 | 17:00-18:00 | ||||
17-18 | 15:00-16:00 | ||||
17-23 | 16:00-17:00 | ||||
20-20 | 15:00-16:00 | ||||
22-25 | 15:00-16:00 | ||||
24-24 | 16:00-17:00 | ||||
26-30 | 16:00-17:00 | ||||
27-27 | 15:00-16:00 | ||||
27-28 | 17:00-18:00 | ||||
29-29 | 15:00-16:00 | ||||
29-30 | 15:00-16:00 | ||||
30-30 | 17:00-18:00 |
Teaching staff
46 Teórico (Basque - Tarde)Show/hide subpages
Weeks | Monday | Tuesday | Wednesday | Thursday | Friday |
---|---|---|---|---|---|
1-1 | 16:00-17:00 | ||||
1-3 | 17:00-18:00 | ||||
1-14 | 14:00-16:00 | ||||
5-11 | 17:00-18:00 | ||||
16-16 | 17:00-18:00 | 17:00-18:00 | 15:00-16:00 | ||
16-17 | 14:00-15:00 | ||||
16-26 | 16:00-17:00 | ||||
16-28 | 15:00-16:00 | ||||
17-19 | 17:00-18:00 | ||||
18-20 | 17:00-18:00 | ||||
18-29 | 16:00-17:00 | ||||
21-24 | 17:00-18:00 | ||||
27-28 | 17:00-18:00 | ||||
29-29 | 16:00-17:00 | 17:00-18:00 | |||
30-30 | 14:00-15:00 |
46 Seminar-1 (Basque - Tarde)Show/hide subpages
Weeks | Monday | Tuesday | Wednesday | Thursday | Friday |
---|---|---|---|---|---|
4-10 | 14:00-15:00 | ||||
13-14 | 14:00-15:00 | ||||
17-19 | 15:00-16:00 | ||||
21-26 | 15:00-16:00 | ||||
29-29 | 15:00-16:00 |
46 Seminar-2 (Basque - Tarde)Show/hide subpages
Weeks | Monday | Tuesday | Wednesday | Thursday | Friday |
---|---|---|---|---|---|
4-10 | 15:00-16:00 | ||||
13-14 | 15:00-16:00 | ||||
17-19 | 14:00-15:00 | ||||
21-26 | 14:00-15:00 | ||||
29-29 | 14:00-15:00 |
46 Seminar-3 (Basque - Tarde)Show/hide subpages
Weeks | Monday | Tuesday | Wednesday | Thursday | Friday |
---|---|---|---|---|---|
4-10 | 18:00-19:00 | ||||
13-14 | 18:00-19:00 | ||||
17-19 | 17:00-18:00 | ||||
21-26 | 17:00-18:00 | ||||
29-29 | 17:00-18:00 |
46 Applied classroom-based groups-1 (Basque - Tarde)Show/hide subpages
Weeks | Monday | Tuesday | Wednesday | Thursday | Friday |
---|---|---|---|---|---|
2-15 | 14:00-15:00 | ||||
12-15 | 18:00-19:00 | 14:00-15:00 | |||
16-17 | 17:00-18:00 | ||||
18-20 | 16:00-17:00 | ||||
18-29 | 15:00-16:00 | ||||
25-30 | 16:00-17:00 | ||||
27-28 | 15:00-16:00 | ||||
30-30 | 14:00-16:00 | 14:00-15:00 |
Teaching staff
46 Applied classroom-based groups-2 (Basque - Tarde)Show/hide subpages
Weeks | Monday | Tuesday | Wednesday | Thursday | Friday |
---|---|---|---|---|---|
2-15 | 16:00-17:00 | ||||
12-15 | 17:00-18:00 | 15:00-16:00 | |||
16-17 | 16:00-17:00 | ||||
18-20 | 17:00-18:00 | ||||
18-29 | 14:00-15:00 | ||||
25-30 | 17:00-18:00 | ||||
27-28 | 16:00-17:00 | ||||
30-30 | 16:00-18:00 | 15:00-16:00 |