ECTS credits ECTS credits: 6
ECTS Hours Rules/Memories Student's work ECTS: 99 Hours of tutorials: 3 Expository Class: 24 Interactive Classroom: 24 Total: 150
Use languages Spanish, Galician
Type: Ordinary Degree Subject RD 1393/2007 - 822/2021
Departments: Applied Mathematics
Areas: Applied Mathematics
Center Faculty of Chemistry
Call: First Semester
Teaching: With teaching
Enrolment: Enrollable | 1st year (Yes)
At the end of the Mathematics I course, students are expected to be able to solve qualitative and quantitative problems according to previously developed models, to recognize and analyze new problems, and to plan strategies to develop them.
1) Introduction to linear algebra and applications.
a) Matrices and determinants. Gauss method for solving systems of linear equations and calculating the inverse matrix.
b) Vector spaces and linear transformations. Matrices and orthogonal transformations.
c) Calculation of eigenvalues and eigenvectors. Diagonalization.
2) Differential calculation in one and several variables, and applications.
a) Functions of one and several variables. Basic concepts, review of elementary functions and their properties. Limits and continuity of functions of a variable.
b) Differential calculation of functions of a variable: derived from a function at a point and geometric interpretation. Derivation of elementary functions. Chain rule. Implicit derivation. Successive derivatives. Critical points. Taylor polynomial. Hospital Rule.
c) Differential calculation of functions of several variables: partial derivatives, tangent plane, gradient, Jacobian matrix, higher-order partial derivatives. Chain rule. Relative extremes of functions of two variables.
3) SageMath practices applied to the contents of the subject.
Basic bibliography:
- C. Neuhauser. “Matemáticas para Ciencias”. Pearson-Prentice Hall. 2004.
- G.B. Thomas. "Cálculo: Una variable". Volumen I. 12ª edición. Addison-Wesley, 2010.
- G.B. Thomas. "Cálculo: Varias variables". Volumen II. 12ª edición. Addison-Wesley, 2010.
- Notes prepared by the teachers of the subject and provided to the students through the virtual campus of the subject.
Complementary bibliography::
- G. A. Anastassiou e R. A. Mezei. "Numerical Analysis Using Sage". Springer. 2015.
- D. C. Lay. “Álgebra lineal y sus aplicaciones”. 3ª edición. Pearson-Prentice Hall. 2007.
- E. Steiner. “Matemáticas para las ciencias aplicadas”. Reverté. 2005.
Basic and general:
CB1 - That the students have demonstrated to possess and understand knowledge in a study area that starts from the general secondary education, and is usually found at a level that, although supported by advanced textbooks, also includes some aspects that involve knowledge from the forefront of their field of study.
CG3 - That they can apply both the theoretical-practical knowledge acquired and the capacity for analysis and abstraction in the definition and approach of problems and in the search for solutions in both academic and professional contexts.
CG5 - That they are able to study and learn autonomously, with organization of time and resources, new knowledge and
techniques in any scientific or technological discipline.
Transverse:
CT1 - Acquire analysis and synthesis capacity.
CT4 - Be able to solve problems.
CT10 - Acquire critical reasoning.
CT12 - Acquire autonomous learning.
Specific:
CE14 - Be able to solve qualitative and quantitative problems according to previously developed models.
CE15 - Be able to recognize and analyze new problems and plan strategies to solve them.
CE25 - Be able to relate Chemistry with other disciplines.
For stage 1 (adapted normality):
Expository classes (in large group):
In these classes the theoretical contents, problems and general examples of the subject are exposed, for which you can count on the support of audiovisual and computer media. The bibliography contained in the "Basic Bibliography" section is used.
Interactive seminar classes (in small group):
These classes cover exercises, problems, and applications of the theory. The student has to solve the exercises of the bulletins proposed by the teacher; These bulletins are published on the virtual page of the subject. The teacher can propose carrying out small exercises to be delivered electronically.
Interactive classes with computer (in small group):
These classes take place in the computer room. In them the student learns to use the mathematical software SageMath applying it to the theoretical-practical contents of the subject. To do this, you must do three guided practices (previously provided by the teacher through the virtual campus) where this software is used to illustrate examples or solve problems posed in the lectures or seminars. After the last session, an individual telematic questionnaire is carried out regarding the activity carried out throughout these classes.
Whiteboard tutoring (in a very small group):
They are for each student one hour of class. This tutorial tries to clarify doubts about the theory, exercises or other proposed tasks.
For stage 2 (distancing):
Expository classes (in large group, telematically):
In these classes the exposition of the theoretical contents, problems and general examples of the subject is carried out telematically, using the Teams tool. Announcements to students are made through the “nova forum” of the virtual campus and mainly materials provided on said virtual campus are used
Interactive seminar classes (in small group):
This teaching is done in the same way as in scenario 1 except that it can be done up to a maximum of 50% telematically when distancing so requires.
Interactive classes with computer (in small group):
This teaching is done in the same way as in scenario 1 except that it can be done up to a maximum of 50% telematically when distancing so requires.
Tutoring classes (in a small group, telematically):
They represent one hour of class for each student, which is done electronically through Teams. This tutorial tries to clarify doubts about the theory, exercises or other proposed tasks.
For stage 3 (closure of facilities):
The expository teaching and tutoring activities are carried out by the teacher in the same way as in scenario two and with the same objectives, except for the teacher's location, which is outside the facilities of the USC.
Interactive seminar classes (in small group, telematically):
These classes are conducted electronically, through Teams, and they cover the exercises in the bulletins proposed by the teacher; These bulletins are published on the virtual campus of the subject. The teacher can propose carrying out small exercises to be delivered electronically.
Interactive classes with computer (in small group, telematically):
These classes are conducted electronically through Teams. In them the student learns to use online, through the CoCalc platform, the mathematical software SageMath applying it to the theoretical-practical contents of the subject. To do this, you must do three guided practices (with scripts previously provided by the teacher through the virtual campus) where this software is used to illustrate examples or solve problems posed in the expository classes or in the seminars. After the last session, an individual telematic questionnaire is carried out regarding the activity carried out throughout these classes.
For stage 1 (adapted normality):
The student is entitled to a call consisting of two opportunities. The qualification in the first and the second opportunities is done through continuous evaluation and taking an exam. The final numerical grade of the student is the maximum of the following grades: the exam grade and the grade obtained by weighing this with that of the continuous assessment, giving the latter a weight of 30%.
The final numerical grade is calculated as follows:
Final Numerical Note = Maximum {Note A, 0.7 x Note A + 0.3 x Note B},
where
Note A is the grade of the exam (out of 10).
Note B is the mark of the continuous evaluation (out of 10).
Note B (of the continuous evaluation) is calculated from the following activities:
1) Two questionnaires through the virtual campus (not subject releasing) corresponding to the two parts of the subject (maximum 7 points).
2) A questionnaire through the virtual campus regarding computer practices (maximum 3 points).
In this context, for cases of fraudulent performance of exercises or tests, the provisions of the Regulations for the evaluation of the academic performance of students and the review of grades of the USC will apply.
The student who obtains a suspense grade at the first opportunity, if presented at the second, has the maximum of the two final grades obtained.
All repeating students must submit to the same regime as ordinary students.
For stages 2 (distancing) and 3 (closure of facilities):
For these two stages, both the activities that make up the continuous evaluation and the qualification criteria are identical to those for stage 1.
The final exam, either for the first opportunity or for the second, will be carried out as established by the competent authorities, either in person in the classroom or remotely using the telematic means available at USC.
In this context, in cases of fraudulent performance of exercises or tests, the provisions of the Regulations for the evaluation of the academic performance of students and the review of grades of the USC will apply.
The proposed evaluation tools allow 100% evaluation of the set of basic, general, specific and transversal skills previously described. Specifically, the following table shows the skills assessed in the different training activities:
Competency Assessment | Seminar Classes | Practices with a computer | Tutoring Classes | Final exam
_______ CB1 _________ | _________ x_______ | _______ x_________ | ______ x_______ | ____ x______
_______ CG3 _________ | _________ x_______ | _______ x_________ | ______ x_______ | ____ x______
_______ CG5 ________ | _________ x_______ | _______ x_________ | ______ x_______ | ____ x______
_______ CT1 ________ | _________ x_______ | _______ x_________ | ______ x_______ | ____ x______
_______ CT4 ________ | _________ x_______ | _______ x_________ | ______ x_______ | ____ x______
______ CT10 ________ | _________ x_______ | _______ x_________ | ______ x_______ | ____ x______
______ CT12 ________ | _________ x_______ | _______ x_________ | ______ x_______ | ____ x______
______ CE14________ | _________ x_______ | __________________ | ______ x_______ | ____ x______
______ CE15________ | _________ x_______ | _______ x_________ | _______________ | ____ x______
______ CE25________ | _________ x_______ | __________________ | _______________ | ____ x______
Hours of classroom work: 34 (expository classes "E") + 10 (seminars "S") + 6 (practices with computer "P") +1 (Tutorial "T").
Hours of personal work of the student: 99
1. Be aware of communications through the virtual campus of the subject.
2. Actively follow the different classes.
3. Dedicate to the study of the subject a time regularly distributed throughout the semester.
4. After completing the study of a topic, it is useful to summarize the important calculation procedures, highlighting the basic formulas to remember.
5. Check the degree of assimilation of the concepts and acquisition of the basic calculation techniques by solving the exercises proposed in the class and in the problem bulletins.
6. Make use of the tutoring schedule.
Contingency plan for the adaptation of this guide to the document "Bases para o desenvolvemento dunha docencia presencial segura no curso 2020-2021", approved by the Governing Council of the USC in ordinary session held on June 19, 2020
Adaptations of teaching methodology for stages 2 (distancing) and 3 (closure of facilities)
For stage 2 (distancing):
Expository classes (in large group, telematically):
In these classes the exposition of the theoretical contents, problems and general examples of the subject is carried out telematically, using the Teams tool. Announcements to students are made through the “nova forum” of the virtual campus and mainly materials provided on said virtual campus are used
Interactive seminar classes (in small group):
This teaching is done in the same way as in scenario 1 except that it can be done up to a maximum of 50% telematically when distancing so requires.
Interactive classes with computer (in small group):
This teaching is done in the same way as in scenario 1 except that it can be done up to a maximum of 50% telematically when distancing so requires.
Tutoring classes (in a small group, telematically):
They represent one hour of class for each student, which is done electronically through Teams. This tutorial tries to clarify doubts about the theory, exercises or other proposed tasks.
For stage 3 (closure of facilities):
The expository teaching and tutoring activities are carried out by the teacher in the same way as for stage 2 and with the same objectives, except for the teacher's location, which is outside the facilities of the USC.
Interactive seminar classes (in small group, telematically):
These classes are conducted electronically, through Teams, and they cover the exercises in the bulletins proposed by the teacher; These bulletins are published on the virtual campus of the subject. The teacher can propose carrying out small exercises to be delivered electronically.
Interactive classes with computer (in small group, telematically):
These classes are taught electronically through Teams. In them the student learns to use online, through the CoCalc platform, the mathematical software SageMath applying it to the theoretical-practical contents of the subject. To do this, you must do three guided practices (with scripts previously provided by the teacher through the virtual campus) where this software is used to illustrate examples or solve problems posed in the expository classes or in the seminars. After the last session, an individual telematic questionnaire is carried out regarding the activity carried out throughout these classes.
Adaptations of the evaluation system for stages 2 (distance) and 3 (closure of facilities)
For these two stages, both the activities that make up the continuous evaluation and the qualification criteria are identical to those for stage 1.
The final exam, either for the first opportunity or for the second, will be carried out as established by the competent authorities, either in person in the classroom or remotely using the telematic means available at USC.
In this context, in cases of fraudulent performance of exercises or tests, the provisions of the Regulations for the evaluation of the academic performance of students and the review of grades of the USC will apply.
Hipolito Irago Baulde
Coordinador/a- Department
- Applied Mathematics
- Area
- Applied Mathematics
- Phone
- 881813220
- hipolito.irago [at] usc.es
- Category
- Professor: University Lecturer
Oscar Crego Martinez
- Department
- Applied Mathematics
- Area
- Applied Mathematics
- oscar.crego [at] rai.usc.es
- Category
- Xunta Pre-doctoral Contract
Luis Javier Pérez Pérez
- Department
- Applied Mathematics
- Area
- Applied Mathematics
- luisjavier.perez [at] usc.es
- Category
- Ministry Pre-doctoral Contract
| Monday | |||
|---|---|---|---|
| 09:00-10:00 | Grupo /CLIS_03 | Spanish | Organic Chemistry Classroom (1st floor) |
| 10:00-11:00 | Grupo /CLIS_04 | Spanish | Biology Classroom (3rd floor) |
| 12:00-13:00 | Grupo /CLIS_02 | Spanish | "Antonio Casares" Main Hall (ground floor) |
| Tuesday | |||
| 13:00-14:00 | Grupo /CLE_01 | Spanish | Inorganic Chemistry Classroom (1st floor) |
| Wednesday | |||
| 09:00-10:00 | Grupo /CLE_02 | Spanish | Classroom 2.11 |
| 13:00-14:00 | Grupo /CLE_01 | Spanish | Inorganic Chemistry Classroom (1st floor) |
| Thursday | |||
| 09:00-10:00 | Grupo /CLE_02 | Spanish | Classroom 2.11 |
| Friday | |||
| 09:00-10:00 | Grupo /CLE_02 | Spanish | Classroom 2.11 |
| 10:00-11:00 | Grupo /CLE_01 | Spanish | Inorganic Chemistry Classroom (1st floor) |
| 01.15.2021 10:00-14:00 | Grupo /CLE_01 | Biology Classroom (3rd floor) |
| 01.15.2021 10:00-14:00 | Grupo /CLE_01 | Analytical Chemistry Classroom (2nd floor) |
| 01.15.2021 10:00-14:00 | Grupo /CLE_01 | Organic Chemistry Classroom (1st floor) |
| 01.15.2021 10:00-14:00 | Grupo /CLE_01 | Technical Chemistry Classroom (ground floor) |
| 07.02.2021 10:00-14:00 | Grupo /CLE_01 | Biology Classroom (3rd floor) |
| 07.02.2021 10:00-14:00 | Grupo /CLE_01 | Analytical Chemistry Classroom (2nd floor) |
| 07.02.2021 10:00-14:00 | Grupo /CLE_01 | Organic Chemistry Classroom (1st floor) |
| 07.02.2021 10:00-14:00 | Grupo /CLE_01 | Technical Chemistry Classroom (ground floor) |