This introductory calculus course covers differentiation and integration of functions of one and several variables. Topics include: the study of functions of one and several variables, their continuity and differenciability; Taylor polynomials and its application in optimization, finding local extrema and constrained optimization; the integration of functions in one variable, both by using Riemann sums and numerical integration and also using Barrow's rule, together with its applications to computing arc lengths, volumes of revolution and surface areas of revolution; and finally the integration of functions of several variables, together with its application to computing volume and mass of a solid body and its center of mass.
Contingency plan
1. Modifications to the contents
No changes will be made.
2. Methodologies
*Teaching methodologies that are maintained
- Master classes
- Exercises resolution
- Mixed tests
*Teaching methodologies that are modified
3. Mechanisms for personalized attention to students
- Email: Daily. To make consultations and request virtual meetings to solve doubts.
– Moodle: Daily. According to the needs of the students.
– Teams: weekly session in a large group to advance the theoretical content in the time slot assigned to the subject in the school's classroom calendar. 1 weekly session in medium groups oriented to a more personal follow-up in the resolution of exercises of the thematic block that is being developed in the theoretical sessions.
4. Modifications in the evaluation
No changes will be made.
*Evaluation observations:
Students with recognition of dedication to part time and academic exemption, as is stablished in the "NORMA QUE REGULA O RÉXIME DE DEDICACIÓN AO ESTUDO DOS ESTUDANTES DE GRAO NA UDC (Arts. 2.3; 3.b e 4.5)(29/5/212), will be evaluated in the same conditions as the rest of the students.
2.Requirements to pass the subject
1. Obtain a score equal to or greater than 5 points in the overall evaluation.
2. Obtain a minimum of 1.75 points out of 5 in each of the two blocks in which the subject is divided.
3. The July opportunity will be evcaluated the same criteria as the June opportunity.
5. Modifications to the bibliography or webgraphy
No changes will be made.
(*)The teaching guide is the document in which the URV publishes the information about all its courses. It is a public document and cannot be modified. Only in exceptional cases can it be revised by the competent agent or duly revised so that it is in line with current legislation.
Subjects
