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Educational guide | |||||||||||||||||||||||||||||||||||||||
IDENTIFYING DATA | 2024_25 | |||||||||||||||||||||||||||||||||||||||
Subject | ENGINEERING MATHEMATICS | Code | 00708012 | |||||||||||||||||||||||||||||||||||||
Study programme |
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Descriptors | Credit. | Type | Year | Period | ||||||||||||||||||||||||||||||||||||
6 | Basic Training | Second | First |
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Language |
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Prerequisites | ||||||||||||||||||||||||||||||||||||||||
Department | MATEMATICAS |
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Coordinador |
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rmgarf@unileon.es rsans@unileon.es |
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Lecturers |
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Web | http:// | |||||||||||||||||||||||||||||||||||||||
General description | ||||||||||||||||||||||||||||||||||||||||
Tribunales de Revisión |
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Competencias |
Code | |
A18145 | |
B5634 | |
B5635 | |
B5643 | |
B5644 | |
B5645 | |
C1 | CMECES1 That students have demonstrated possession and understanding of knowledge in an area of study that is based on 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 cutting edge of their field of study |
C4 | CMECES4 That students can transmit information, ideas, problems and solutions to both a specialised and non-specialised audience |
C5 | CMECES5 That students have developed those learning skills necessary to undertake further studies with a high degree of autonomy |
Learning aims |
Competences | |||
Solving mathematical models in engineering. | A18145 |
B5635 B5643 B5644 |
C1 |
Addresses engineering problems using techniques of differential equations and differential geometry. | A18145 |
B5634 B5643 |
C4 C5 |
Translating information, ideas, problems, and solutions from the field of engineering into mathematical language allows for precise analysis and modeling | B5635 B5644 |
C1 C5 |
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Learning new methods and theories is essential for adapting to new situations. | B5645 |
C4 C5 |
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Addresses engineering problems using techniques of differential equations and differential geometry. | A18145 |
C5 |
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Learning new methods and theories to adapt to new situations. | A18145 |
B5634 |
C5 |
Contents |
Topic | Sub-topic |
Block I: DIFFERENTIAL EQUATIONS | Topic 1: FIRST ORDER DIFFERENTIAL EQUATIONS Introduction to techniques for solving linear and nonlinear first-order differential equations. Topic 2: HIGHER-ORDER DIFFERENTIAL EQUATIONS AND SYSTEMS OF FIRST-ORDER DIFFERENTIAL EQUATIONS Introduction to solution techniques for systems of differential equations based on Linear Algebra and their application to solving higher-order differential equations. |
Block II: PARTIAL DIFFERENTIAL EQUATIONS | Topic 3: INTRODUCTION TO TWO-DIMENSIONAL FIRST-ORDER PARTIAL DIFFERENTIAL EQUATIONS. |
Block III: DIFFERENTIAL GEOMETRY | Topic 4: DIFFERENTIAL CURVES AND SURFACES IN THE PLANE AND SPACE Differential curves in the plane and space. Parametrized surfaces. First and second fundamental forms. Distinguishable curves on surfaces. Integration of scalar and vector functions over curves and surfaces. Parametrized surfaces. First and second fundamental forms. Distinguished curves on surfaces. |
Block iV: INTEGRATION | Topic 5: LINE AND SURFACE INTEGRALS Green's, Stokes', and Gauss's Divergence Theorems. |
Planning |
Methodologies :: Tests | |||||||||
Class hours | Hours outside the classroom | Total hours | |||||||
Problem solving, classroom exercises | 25 | 37.5 | 62.5 | ||||||
Tutorship of group | 0.5 | 0.5 | 1 | ||||||
Lecture | 26 | 52 | 78 | ||||||
Extended-answer tests | 4 | 0 | 4 | ||||||
4.5 | 0 | 4.5 | |||||||
(*)The information in the planning table is for guidance only and does not take into account the heterogeneity of the students. |
Methodologies |
Description | |
Problem solving, classroom exercises | Problem-solving/exercise resolution in the regular classroom, promoting student participation to the extent possible. |
Tutorship of group | Small group activity to monitor the progress of the teaching/learning process. |
Lecture | Development of theoretical content and models of problems and exercises. |
Personalized attention |
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Assessment |
Description | Qualification | ||
Extended-answer tests | 60% | ||
Completion and presentation of assignments: In Class, exercises will be proposed for students to submit to complete continuous assessment. Additionally, positive and participatory attitudes of students during the course will be valued. |
40% | ||
Other comments and second call | |||
<div>Evaluation will be of a summative type. To pass the subject, it is necessary to obtain a score of 50%. The first test will cover the content developed throughout the course up to the date of its administration. Subsequent tests will cover content developed since the administration of the previous test. The last test will be held at the end of the semester. Additionally, throughout the course, students will be assigned tasks and exercises to complete and submit on specified dates. Students who do not pass the subject in the first sitting may choose to do so in the second sitting, which will consist of a single test covering all subject content.</div><div><br /></div><div>The use of electronic devices enabling communication, such as mobile phones, tablets, and transmitters, is expressly prohibited. In the event of non-compliance with the above, as established by the GUIDELINES FOR ACTION IN CASES OF PLAGIARISM, COPYING, OR FRAUD IN EXAMS OR EVALUATION TESTS, approved by the University's Governing Council, the exam will be withdrawn (photography or screenshot in computer-based tests), the student will be expelled from the classroom, and they will receive a failing grade.</div> |
Sources of information |
Access to Recommended Bibliography in the Catalog ULE |
Basic |
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Complementary |
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Recommendations |
Subjects that it is recommended to have taken before | ||||
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Other comments | |
The student who does not participate in any of the assessment tests will receive a score of zero in said test, a grade that will be taken into account for the final grade calculation. In this regard, once the date of a partial written test is set, it will be unchangeable, and the student who does not attend will receive a zero grade in it. |