The students will finish the class period with a maximum of 60% of the grade, which will be obtained through four quizzes that will be conducted during seminar sessions (each quiz carrying a weight of 15%). In each of these quizzes, each student will solve one or several practical problems using their laptop and Python software, as explained in the laboratory practices.

Note: If any illicit activity is detected in any of these quizzes (such as copied exercises, inappropriate use of online resources, etc.), all students involved will receive a grade of 0 for the respective quiz, and, depending on the severity of the incident, the teachers may decide to assign a global grade of 0 for the entire "Seminar" section.

On dates determined by the Faculty Board, students will take a written final exam for the course. The grade obtained in the final exam will be scaled so that each student has the opportunity to recover the portion lost in the evaluation corresponding to the seminars. Thus, the final exam will account for 40% to 100% of the final grade for the course.

It is necessary to obtain a grade equal to or higher than 2.50 out of 10 in the final exam to pass the course.

The final exam for the second opportunity (June or July 2023) will follow the same principles as the first opportunity.

The evaluation of the seminars and laboratory practices for part-time students will be conducted taking into account their specific circumstances, as far as possible.

Regarding the extraordinary December session, the evaluation process will include:

a) An objective test worth a maximum of four points.

b) An exam to assess the knowledge acquired in the laboratory practices, worth a maximum of six points.

Learning outcomes	Study programme competences
Being able to analyze functions of a real variable: - Limits , continuity, differentiation, optimization and graphical representation - Definite and indefinite integration and its application to the calculation of areas and volumes , as well as solving differential equations.	A1	B3
Being able to use a computer application of symbolic and computational calculus for the development of the contents of the subject	A1	B3

Topic	Sub-topic
Sets of numbers	Classic sets of numbers Complex numbers
Real valued functions of one real variable	Basic definitions Elementary functions Limits Continuity Bisection method Lagrange interpolation polynomial
Derivation	Definition of derivative and basic properties Newton-Raphson method Higher order derivatives Applications of derivatives Convexity and concavity Taylor's theorem
Integration	Indefinite integration Riemann integration Fundamental Theorem of Calculus Numerical integration Improper integration Applications of integration Differential equations
Pyhton for one variable calculus	SymPy introduction Limits and continuity in Sympy NumPy introduction Graphics with Matplotlib Derivation in Python Integration in Python

Methodologies / tests	Competencies	Ordinary class hours	Student’s personal work hours	Total hours
Laboratory practice	A1 B3	18	18	36
Guest lecture / keynote speech	A1 B3	30	60	90
Seminar	A1 B3	9	9	18
Objective test	A1 B3	0	3	3

Personalized attention		3	0	3

(*)The information in the planning table is for guidance only and does not take into account the heterogeneity of the students.

Methodologies	Description
Laboratory practice	- The use of the software package Octave, which will be used in the subject for symbolic and numerical computation, will be taught . - Problems related to the subject will be solved using Octave
Guest lecture / keynote speech	- Presentations in (previously provided to students) containing the basic notes to follow the development of the subject, will be maid using a projector - Short videos will be used to illustrate some key points in the development of the subject, both in the theoretical and practical parts.
Seminar	- Doubts of the students will be resolved, as well as works and exercises from the problem sets, previously available, or others proposed by the teacher or the students. For this, when necessary, the software explained in the laboratory practices will be used. - In some seminars the possibility of carrying out, on a voluntary basis, a project linked to the Sustainable Development Goals (SDGs) will be offered. In this educational task, the student will link the contents of the Calculus subject with some of the SDGs, proposing and solving mathematical problems related to them.
Objective test	- A quiz consisting of a collection of theoretical and/or practical questions will be done

Methodologies	Competencies	Description	Qualification
Seminar	A1 B3	Throughout the course there will be two test-type tests with a maximum grade, each one, of 10% of the grade. Those students who do not reach the maximum grade in these written tests will be able to recover the remaining part by taking the mixed test. Eventually and with prior agreement with the teacher, the student will be able to obtain this 20% of the grade by completing a project linked to the Sustainable Development Goals (SDGs).	60
Guest lecture / keynote speech	A1 B3	There will be no evaluation practices during these sessions.	0
Laboratory practice	A1 B3	Up to 4 assessment tests will be carried out during the laboratory classes that will account for 40% of the final grade. Only students enrolled part-time who have not been evaluated in the laboratory practical part will be able to take a specific test to recover 40% of the mark corresponding to this part.	0
Objective test	A1 B3	The final exam, with a value between 40 and 100% (depending on the grade obtained in the seminar part) will consist of taking a written test.	40

Assessment comments
The students will finish the class period with a maximum of 60% of the grade, which will be obtained through four quizzes that will be conducted during seminar sessions (each quiz carrying a weight of 15%). In each of these quizzes, each student will solve one or several practical problems using their laptop and Python software, as explained in the laboratory practices. Note: If any illicit activity is detected in any of these quizzes (such as copied exercises, inappropriate use of online resources, etc.), all students involved will receive a grade of 0 for the respective quiz, and, depending on the severity of the incident, the teachers may decide to assign a global grade of 0 for the entire "Seminar" section. On dates determined by the Faculty Board, students will take a written final exam for the course. The grade obtained in the final exam will be scaled so that each student has the opportunity to recover the portion lost in the evaluation corresponding to the seminars. Thus, the final exam will account for 40% to 100% of the final grade for the course. It is necessary to obtain a grade equal to or higher than 2.50 out of 10 in the final exam to pass the course. The final exam for the second opportunity (June or July 2023) will follow the same principles as the first opportunity. The evaluation of the seminars and laboratory practices for part-time students will be conducted taking into account their specific circumstances, as far as possible. Regarding the extraordinary December session, the evaluation process will include: a) An objective test worth a maximum of four points. b) An exam to assess the knowledge acquired in the laboratory practices, worth a maximum of six points.

Basic
	Bibliografía básica: Teachers of this subject. Cálculo en una variable. Jupyter Book. https://gei-cal.github.io/JB-Calculo1-UDC G. Strang, E. Herman. Cálculo (Volume 1). Openstax: http://openstax.org/books/cálculo-volumen-1/ G. Strang, E. Herman. Cálculo (Volume 2). Openstax: https://openstax.org/books/cálculo-volumen-2/ R. Larson, B.H. Edwards, Cálculo 1, 10ª edición. Ed. McGraw-Hill, 2016. R.T. Smith, R.B. Minton. Cálculo 1, 2ª edición. Ed. McGraw-Hill, 2003.  Q. Kong, T. Siauw, A. Bayen. Pyhton Programming and Numerical Methods. Jupyter Book de Berkeley, 2020 (https://pythonnumericalmethods.berkeley.edu/notebooks/Index.html). R. Johansson. Numerical Python. Ed. Apress, 2019  (pdf on line). J. Kiusalaas. Numerical methods in engineering with Python, 3ª edición. Ed. Cambridge, 2013.
Complementary
	Complementary bibliography: Blog "existelimite" de Luis Hervella, Universidade da Coruña: https://existelimite.blogspot.com/ Curso "Cálculo I". Domingo Pestana, José Manuel Rodríguez, Universidad Carlos III: https://ocw.uc3m.es/course/view.php?id=239 Curso "Cálculo de funciones de 1 variable" de Miguel Martín Suárez, Universidad de Granada: https://www.ugr.es/~mmartins/material.htm

Other comments
Daily work is recommended for getting optimal profit from the seminars (TGR) and laboratory practices. Also assistance to the master classes is recommended.