|Tribunales de Revisión||
|1. The students understand the main concepts of discrete mathematics and logics, and they apply them in solving mathematical problems appearing in engineerings.||A18117
|2. Students show skills and abilities in analysis, synthesis, critical reasoning and decision making.||B5623
|3. Students apply the studied concepts in the elaboration of correct argumentations and reasonings. They are able to face up with situations where they need new mathematical knowledge and techniques. They have developed their autonomous learning skills.||B5619
|4. Students are able to communicate mathematical ideas and information in oral and written form.||B5619
|I: LOGIC AND SETS.||1. INTRODUCTION TO FORMAL LOGIC.
Fundamentals of Logic. Proof techniques
Intuitive set theory. Correspondences and functions. Relations.
|II: COMBINATORICS AND ALGEBRAIC STRUCTURES||1. COUNTING TECHNIQUES.
Combinatorics and recurrence relations.
2. ALGEBRAIC STRUCTURES.
Boolean Algebra and other algebraic structures: groups, semigroups, rings and fields.
|Methodologies :: Tests|
|Class hours||Hours outside the classroom||Total hours|
|Problem solving, classroom exercises||30||30||60|
|(*)The information in the planning table is for guidance only and does not take into account the heterogeneity of the students.|
|Problem solving, classroom exercises|
|Mixed tests||Two written exams, where problems are proposed to be solved by applying the theoretical contents studied in the classroom. Aspects to be evaluated, among others: the correct use of the mathematical and logical language, the rigorous explanation of all steps of the solutions, as well as the numerical results obtained. Each exam is worth 40% of the total grade, and may be re-evaluated in the second call.||80%|
|Others||A continuous evaluation of the work carried out by the student will be carried out through the evaluation of the following activities: a series of guided activities, tests and exercises, to be performed and delivered during class time, or through the moodle platform of the subject, in the periods indicated. In the case of non-contact activities, the in-person explanation of the submitted works may be required, as well as proposing to make some modification. Works and assignments are not re-evaluated in the second call.||20%|
|Other comments and second call|
In all tests: the use of mobile phones and other electronic devices is strictly forbidden, and will result in grade zero. Only the material specifically allowed by the instructors may be used.
Second call. Students may choose between these two options:
- maintain/preserve the grades obtained in all works and assignments (20%) and repeat one or both written tests. If either of the parts is not repeated in the second call, the grade corresponding to that part obtained in the first call will be maintained in the second call.
- remove/withdraw all works and assigments from the calculation of the final grade, in this case each of the written tests will be worth 50%.
|Contingency plan due to COVID-19 emergency conditions that prevents from presence based teaching|
|COVID-19 Teaching Guide Addendum Access Link|
|Sources of information|
|Access to Recommended Bibliography in the Catalog ULE|
García, C., López, J.M., Puigjaner, D., Matemática discreta : [problemas y ejercicios resueltos], Pearson Educación, 2002
Anderson, I., Introducción a la combinatoria, Vicens Vives, 1993
Lipschutz, S., Lipson, M., 2000 problemas resueltos de matemática discreta, McGraw-Hill, Interamericana de España, 2004
Anderson, I., A first course in Combinatorial Mathematics, 2nd Ed., Clarendon Press, Oxford, 1988
Koh Khee Meng, Tay Eng Guan, Counting, World Scientific, 2002
Biggs, N.L., Discrete Mathematics, 2nd Ed, Oxford University Press, 2002
Biggs, N.L., Matemática discreta, Vicens Vives, 1994
Abellanas, M., Lodares, D., Matemática discreta, Ra-ma, 1990
García Merayo, F., Matemática discreta, Thomson-Paraninfo, 2005
Caballero, R., Hortalá, M.T., Martí, N., Matemática Discreta para Informáticos. Ejercicios resueltos, Pearson Prentice Hall, 2007
Hortalá, M.T., Matemática discreta y lógica matemática , Editorial complutense, 1998
Rosen, K.H., Matemática discreta y sus aplicaciones, McGraw-Hill, Interamericana de España, 2004
Grimaldi, R.P., Matemáticas discreta y combinatoria : una introducción con aplicaciones, Addison Wesley, 1998
Lipschutz, S., Lipson, M., Matemáticas discretas, McGraw-Hill, Interamericana de España, 2009
Schumacher, C., Chapter zero : fundamental notions of abstract mathematics, Addison-Wesley Pub. Co., 1997
Cameron, P.J., Sets, logic and categories, Springer, 1999