1. General information
Course:
ADVANCED MATHEMATICS
Code:
56311
Type:
BASIC
ECTS credits:
6
Degree:
351 - UNDERGRADUATE DEGREE PROG. IN MECHANICAL ENGINEERING (ALM)
Academic year:
2023-24
Center:
106 - SCHOOL OF MINING AND INDUSTRIAL ENGINEERING
Group(s):
56
Year:
2
Duration:
First semester
Main language:
Spanish
Second language:
Use of additional languages:
English Friendly:
N
Web site:
Bilingual:
N
Lecturer:
DOROTEO VERASTEGUI RAYO
- Group(s):
56
Building/Office
Department
Phone number
Email
Office hours
Elhuyar / Matemáticas
MATEMÁTICAS
926052122
doroteo.verastegui@uclm.es
2. Pre-Requisites
To know the fundamental contents related to the differential and integral calculus of one and several variables explained in the subjects of Calculus I and Calculus II, and to Linear Algebra, developed in the subject of Algebra.
3. Justification in the curriculum, relation to other subjects and to the profession
Not established
4. Degree competences achieved in this course
| Course competences | |
|---|---|
| Code | Description |
| A01 | To understand and have knowledge in an area of study that moves on from the general education attained at secondary level and usually found at a level that, while supported in advanced text books, also includes some aspects that include knowledge found at the cutting edge of the field of study. |
| A02 | To know how to apply knowledge to work or vocation in a professional manner and possess the competences that are usually demonstrated by the formulation and defence of arguments and the resolution of problems in the field of study. |
| A03 | To have the capability to gather and interpret relevant data (normally within the area of study) to make judgements that include a reflection on themes of a social, scientific or ethical nature. |
| A07 | Knowledge of Information Technology and Communication (ITC). |
| A08 | Appropriate level of oral and written communication. |
| A17 | Ability to apply principles and methods of quality control. |
| B01 | Ability to solve mathematical problems that occur in engineering. Aptitude to apply knowledge of: linear algebra; geometry; differential geometry; differential and integral calculus; differential and partial differential equations; numerical methods; numerical algorithms; statistics and optimization. |
5. Objectives or Learning Outcomes
| Course learning outcomes | |
|---|---|
| Description | |
| Know how to describe processes related to materials in industrial engineering through ordinary differential equations and in partial derivations, resolve them and interpret results | |
| Know the main approaches for resolution through using numerical methods, to use some statistical software packages at user level, data processing, mathematical calculus and vizualization, set out algorithms and program through programming language of a high level, vizualize functions, geometric figures and data, design experiments, analyze data and interpret results | |
| Be able to express yourself correctly both orally and in writing, and, in particular, to know how to use mathematical language to express with precision quantities and operations that appear in industrial engineering. Become accustomed to working in a team and behaving respectfully. | |
| Know how functions and data are approximated through development in series of power and Fourier and their applications | |
| Additional outcomes | |
| Not established. |
6. Units / Contents
-
Unit 1:
-
Unit 2:
-
Unit 3:
-
Unit 4:
-
Unit 5:
-
Unit 6:
7. Activities, Units/Modules and Methodology
| Training Activity | Methodology | Related Competences (only degrees before RD 822/2021) | ECTS | Hours | As | Com | Description | |
| Class Attendance (theory) [ON-SITE] | Combination of methods | CB02 CB03 CB04 CB05 CG03 CG04 | 1.2 | 30 | N | N | Development of theoretical content in the classroom, using the participatory master lesson method | |
| Problem solving and/or case studies [ON-SITE] | Combination of methods | CB02 CB03 CB04 CB05 CG03 CG04 | 0.6 | 15 | Y | N | Exercise and problem solving in the classroom. | |
| Study and Exam Preparation [OFF-SITE] | Self-study | 0.6 | 15 | Y | N | |||
| Study and Exam Preparation [OFF-SITE] | Self-study | CB02 CB03 CB04 CB05 CG03 CG04 | 3 | 75 | N | N | Personal study of the subject and resolution of exercises and problems outside the classroom that will be given to the teacher and that the teacher will evaluate. | |
| Class Attendance (practical) [ON-SITE] | Practical or hands-on activities | 0.4 | 10 | Y | N | Laboratory practices in the computer classroom with the use and application of specific software | ||
| Formative Assessment [ON-SITE] | Assessment tests | CB02 CB03 CB04 CB05 CG03 CG04 | 0.2 | 5 | Y | Y | Final evaluation of the course by written test | |
| Total: | 6 | 150 | ||||||
| Total credits of in-class work: 2.4 | Total class time hours: 60 | |||||||
| Total credits of out of class work: 3.6 | Total hours of out of class work: 90 | |||||||
As: Assessable training activity Com: Training activity of compulsory overcoming (It will be essential to overcome both continuous and non-continuous assessment).
8. Evaluation criteria and Grading System
| Evaluation System | Continuous assessment | Non-continuous evaluation * | Description |
| Projects | 10.00% | 10.00% | |
| Laboratory sessions | 10.00% | 10.00% | |
| Progress Tests | 10.00% | 0.00% | The academic work carried out by the students in (10%) or out (10%) of class, tutored by the teacher individually or in small groups, for whose evaluation a report should be submitted, in which the approach to the problem, the use of appropriate terminology and notation to express the ideas and mathematical relations used, the choice of the most appropriate procedure for each situation, the justification of the different steps of the procedure used, the results obtained and the cleaning and presentation of the document should be assessed. Practices in the computer room (10%), with the application of specific software, where the delivery of the work done in them will be evaluated, having to be defended orally before the teacher. |
| Final test | 70.00% | 80.00% | Finally, a written test will be taken, consisting of questions, theoretical questions and problems whose evaluation criteria will be similar to those of the academic papers described above. |
| Total: | 100.00% | 100.00% |
According to art. 4 of the UCLM Student Evaluation Regulations, it must be provided to students who cannot regularly attend face-to-face training activities the passing of the subject, having the right (art. 12.2) to be globally graded, in 2 annual calls per subject , an ordinary and an extraordinary one (evaluating 100% of the competences).
Evaluation criteria for the final exam:
-
Continuous assessment:In order to obtain the final grade, the 2 evaluation systems described above are calculated, with the specified weights, and a grade of 4 out of 10 or higher must be obtained in the final written test. If the grade obtained in this test is less than 4 points, it will be given as the final grade of the course.
-
Non-continuous evaluation:Evaluation criteria not defined
Specifications for the resit/retake exam:
In order to obtain the final grade, the grades obtained in the first evaluation system described above will be kept and a new written Final Exam will be taken, calculating the final grade of the course combining the 2 grades as specified above. Likewise, in the final written test, a grade equal to or higher than 4 points out of 10 must be obtained. If the grade obtained in this test is less than 4 points, it will be given as the final grade of the course. If the 2 evaluation systems are calculated as described in the previous paragraph, and the final grade is lower than the grade obtained in the written Final Exam, the grade obtained in the written Final Exam will be recorded as the final grade of the course.
Specifications for the second resit / retake exam:
A Final Written Test will be taken, the weight of which will be 100% of the overall grade of the subject and will consist of questions, theoretical questions and problems where the approach to the topic or problem will be assessed, the use of appropriate terminology and notation to express the ideas and mathematical relations used, the choice of the most appropriate procedure for each situation, the justification of the different steps of the procedure used, the results obtained and the cleaning and presentation of the document.
9. Assignments, course calendar and important dates
| Not related to the syllabus/contents | |
|---|---|
| Hours | hours |
| Class Attendance (theory) [PRESENCIAL][Combination of methods] | 30 |
| Problem solving and/or case studies [PRESENCIAL][Combination of methods] | 15 |
| Study and Exam Preparation [AUTÓNOMA][Self-study] | 15 |
| Study and Exam Preparation [AUTÓNOMA][Self-study] | 75 |
| Class Attendance (practical) [PRESENCIAL][Practical or hands-on activities] | 10 |
| Formative Assessment [PRESENCIAL][Assessment tests] | 5 |
| Global activity | |
|---|---|
| Activities | hours |
10. Bibliography and Sources
