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 Physics
Areas: Optics
Center Faculty of Physics
Call: Second Semester
Teaching: With teaching
Enrolment: Enrollable | 1st year (Yes)
General objectives:
This course is part of the module "Mathematical Methods of Physics", which aims to equip students with the mathematical tools necessary for the development and understanding of the different branches of physics. The specific objectives of the course are:
- Introduce the concept of differential equation
- Provide students with strategies for solving equations and systems of differential equations most basic, including power series solutions.
Learning outcomes:
- To understand the concept of differential equation
- To know the strategies of solving the equations and the most basic differential equations systems, including solutions in series
of powers.
- To acquire skill in the use of calculation techniques to solve physical problems
Scenario 2 and/or 3
In this section we do not foreseen modifications in relation to possible changes in the teaching scenario due to the evolution of Covid-19
INTRODUCTION TO ORDINARY DIFFERENTIAL ECUACIÓNS
INTEGRATION METHODS OF FIRST ORDER DIFFERENTIAL EQUATIONS. Separable differential equations. Homogeneous Equations. Linear Equations. Exact differential equations.
LINEAR DIFFERENTIAL EQUATIONS. Linear dependence and independence. Differential equations with constant coefficients. Systems of linear equations.
ECUACIÓNS RESOLUTION BY POWER SERIES DIFFERENTIAL. Regular points and singular points of the second order equations. Frobenius series and indicial equation.
SPECIAL FUNCTIONS. Bessel functions. Gamma Function. Legendre polynomials, Hermite and Laguerre. Hypergeometric functions.
Scenario 2 and/or 3
In this section we do not foreseen modifications in relation to possible changes in the teaching scenario due to the evolution of Covid-19
Basic bibliography:
- G.F. Simmons, " Ecuaciones diferenciales Ordinarias ", Ed. McGraw-Hill, 1993.
- E.A. Coddington, "An Introduction to Ordinary Differential Equations", Dover Pu. New York, 1989.
- G.D. Zill, “Ecuaciones diferenciales con aplicaciones”, Grupo Editorial Iberoamérica, cop.1988.
At the time of approving this program, we are in the process of requesting the acquisition of new electronic bibliographic material and teachers will specify which bibliographic material can be found in electronic format in the USC library when the funds be available.
Supplementary bibliography:
• L. Elsgoltz, “Ecuaciones diferenciales y Calculo Variacional”, Editorial MIR.
• Y. Ayant y M. Borg, “Funciones Especiales” Ed. Alhambra
• Q. KONG, A Short Course in Ordinary Differential Equations, Universitext, Springer, 2014.
• H. LOGEMANN, E.P. RYAN, Ordinary Differential Equations: Analysis, Qualitative Theory and Control, Springer Undergraduate Mathematics Series, Springer, 2014.
• W. WALTER, Ordinary Differential Equations, Graduate Texts in Mathematics 182, Springer, 1998.
Internet resources:
• Wikipedia
• http://mathworld.wolfram.com
• We will include in the virtual classroom several links to those web pages we think appropiate in order to compensate for the loss of access to the USC library books
Scenary 1
BASIC AND GENERAL
CB1 - That students demonstrate to possess and understand knowledge in a study area that starts from the base of general secondary education, and they are generally at a level that, although supported by advanced textbooks, also includes some aspects that imply the knowledge of the vanguard of its field of study.
CB2 - That the students know how to apply their knowledge to their work or vocation in a professional way and possess the competences that are usually demonstrated through the elaboration and defense of arguments and the resolution of problems within their area of study.
CB3 - The student develop the necessary learning skills to carry out studies with a high degree
of autonomy
CG3 - To apply the theoretical and practical knowledge acquired, as well as the capacity for analysis and abstraction in the definition and
Addressing problems and finding solutions both in academic and professional contexts.
TRANSVERSALS
CT1 - Acquire the ability to analyze and synthesize.
CT2 - Have the ability to organize and plan.
CT5 - Develop critical thinking.
SPECIFIC
CE5 - To be able to perform the essential elements of a process or situation and establish a working model of it, as well as carry out the necessary approaches to reduce the problem to a manageable level. Demonstrate critical thinking to build physical models.
CE6 - To understand and master the use of the most common mathematical and numerical methods in Physics
CE8 - To manage, search and use bibliography, as well as any source of relevant information and apply it to the research work
and technical development of projects
Scenario 2 and/or 3
In this section we do not foreseen modifications in relation to possible changes in the teaching scenario due to the evolution of Covid-19
In the Virtual Campus a Moodle platform course will be available in order to upload importan information for the students.
Scenario 1
The general methodological indications established in the Report of the Degree in Physics of the USC will be followed. Classroom classes will be taught and the actual distribution between master and participative classes follows what is specified in the Degree Report.
The tuitions will be provided in the offices or by telematic means. For telematic means a previous appointment is requested, which is also recommended for office tuitions too.
Scenario 2
See contingency plan in Comments
Escenario 3
See contingency plan in Comments
Scenario 1
The first opportunity assesment is based in a cotinuous evaluation method which consists in performing several tests about one or more block of contents of the subject. The grade obtained by the set of activities in each block will contribute a weight of 1/3 to the final grade. The weight of each test will be established based on the amount of material to be evaluated with respect to the total of the block material. The tests will be used to assess the specific knowledge and skills on the subject acquired by the students as well as the mastery of basic mathematical tools (derivation, integration, handling of exponential, logarithmic, trigonometric, rational functions ...).
Those students who cannot perfom the tests in the classroom due to geographic mobility restrictions, they may take the test electronically at the same time as their classmates. The conditions for carrying out the tests are similar to those specified in scenarios 2 and 3, described in the Contingency Plan in the Observations section.
In the second opportunity, the assessment will be based on the completion of a final exam.
In case of fraudulent behaviour, the University Regulations for the evaluation of the academic performance of students will be applied.
Scenario 2
See contingency plan in Comments
Scenario 3
See contingency plan in Comments
Scenario 1
It is recommended the one indicated in the Memory of the Degree in Physics of the USC: About 80-90 hours. Classroom classes time excluded.
Scenario 2 and/or 3
In this section we do not foreseen modifications in relation to possible changes in the teaching scenario due to the evolution of Covid-19
- Review of basic mathematical concepts: derivatives, integrals, limits, etc.. and the skillful management of elementary functions such as polynomial and trigonometric functions, logarithmic function or exponential function.
- Attendance at lectures and participative classes.
- It is advisable to study Mathematical Methods I and II previously, as well as to study Mathematical Methods III simultaneously.
Scenario 2 and/or 3
No changes
Contingency plan in case of change of scenario
1.- Course objectives: No changes
2.- Contents: No changes
3.- Basic and complementary bibliography: No changes
4.- Competence: No changes
5.- Teaching methodology:
- Scenario 2
Part of the teaching will be carried out telematically:
If the measures adopted by the health authorities allow it, the master classes will be carried out telematically and the participative ones in the classrooom, keeping the official class schedule approved by the center.
If the limitation of capacity dictated by the health authorities does not allow all the students in the classroom, lecures will be broadcasted through the Teams platform.
Students will take turns for classroom lectures. The number of students per shift will be subject to the rules in force.
In any case, it will be favored that the continuous assessment tests are performed in the classroom and will be held during class time. In case a number of unacceptable hours of class are required for the tests, they may be carried out by telematic means.
The tuitions may be at the office or telematic, which will require a previous appointment.
-Scenario 3
The teaching will be telematic and the classes will be held synchronously in the official class time. It could happen that, due to some reasons, some of the classes take place asynchronously, which will be communicated to the students in advance.
The tuitions will be telematic and will require a previous appointment
6.- Assesment system
Scenario 2
In classroom tests or exams are preferred, nevertheless when not possible they will be done telematically. In this case, students must prove their identity and have means (for example webcams, microphone, ...) that allow the teacher to supervise its realization,always keeping the technical, security and data protection specifications determined by the Xeral Secretariat to try to ensure the identity of the students and the personal nature of the test. If a student does not have the technical means to carry out the test or exam under the conditions established for the rest of the group, the teacher responsible for the subject may demand an oral test. Teachers may also require a complementary oral test or exam in those cases where it is necessary to guarantee a fair and objective evaluation.
Scenario 3
The evaluation tests and exams will be telematic. SAme rules as those in the previous paragraph will be applied for telematic tests or exams.
7.- Study time and individual work: no changes
8.- Recommendations for the study of the subject: no changes
Maria Elena Lopez Lago
- Department
- Applied Physics
- Area
- Optics
- Phone
- 881813518
- elena.lopez.lago [at] usc.es
- Category
- Professor: University Lecturer
Xesus Prieto Blanco
Coordinador/a- Department
- Applied Physics
- Area
- Optics
- Phone
- 881813506
- xesus.prieto.blanco [at] usc.es
- Category
- Professor: Temporary PhD professor
Eva Maria Acosta Plaza
- Department
- Applied Physics
- Area
- Optics
- Phone
- 881813511
- eva.acosta [at] usc.es
- Category
- Professor: University Professor
| Monday | |||
|---|---|---|---|
| 10:00-11:00 | Grupo /CLE_02 | Galician, Spanish | Virtual Classroom 1 |
| 11:00-12:00 | Grupo /CLE_01 | Galician, Spanish | Virtual Classroom 1 |
| Tuesday | |||
| 10:00-11:00 | Grupo /CLE_02 | Galician, Spanish | Virtual Classroom 1 |
| 11:00-12:00 | Grupo /CLE_01 | Spanish, Galician | Virtual Classroom 1 |
| Wednesday | |||
| 10:00-11:00 | Grupo /CLE_02 | Spanish, Galician | Virtual Classroom 1 |
| 11:00-12:00 | Grupo /CLE_01 | Galician, Spanish | Virtual Classroom 1 |
| Thursday | |||
| 10:00-11:00 | Grupo /CLE_02 | Galician, Spanish | Virtual Classroom 1 |
| 11:00-12:00 | Grupo /CLE_01 | Galician, Spanish | Virtual Classroom 1 |
| Friday | |||
| 10:00-11:00 | Grupo /CLE_02 | Galician, Spanish | Virtual Classroom 1 |
| 11:00-12:00 | Grupo /CLE_01 | Spanish, Galician | Virtual Classroom 1 |
| 06.01.2021 16:00-20:00 | Grupo /CLE_01 | 3 (Computer Science) |
| 06.01.2021 16:00-20:00 | Grupo /CLE_01 | Classroom 0 |
| 06.01.2021 16:00-20:00 | Grupo /CLE_01 | Classroom 130 |
| 06.01.2021 16:00-20:00 | Grupo /CLE_01 | Classroom 140 |
| 06.01.2021 16:00-20:00 | Grupo /CLE_01 | Classroom 6 |
| 06.01.2021 16:00-20:00 | Grupo /CLE_01 | Classroom 830 |
| 06.01.2021 16:00-20:00 | Grupo /CLE_01 | Classroom 840 |
| 06.01.2021 16:00-20:00 | Grupo /CLE_01 | Main Hall |
| 06.01.2021 16:00-20:00 | Grupo /CLE_01 | Corridor |
| 07.01.2021 10:00-14:00 | Grupo /CLE_01 | 3 (Computer Science) |
| 07.01.2021 10:00-14:00 | Grupo /CLE_01 | Classroom 0 |
| 07.01.2021 10:00-14:00 | Grupo /CLE_01 | Classroom 130 |
| 07.01.2021 10:00-14:00 | Grupo /CLE_01 | Classroom 140 |
| 07.01.2021 10:00-14:00 | Grupo /CLE_01 | Classroom 6 |
| 07.01.2021 10:00-14:00 | Grupo /CLE_01 | Classroom 830 |
| 07.01.2021 10:00-14:00 | Grupo /CLE_01 | Classroom 840 |
| 07.01.2021 10:00-14:00 | Grupo /CLE_01 | Main Hall |