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Class Discrete Mathematics

  • Presentation

    Presentation

    The course of Discrete Mathematics aims to contribute to the acquisition of a set of skills in students: the ability to assimilate information and to communicate it; the ability of written expression; the ability of oral expression and the ability of mathematical argument. To this end, concepts of mathematical logic, set theory and number theory will be studied

  • Code

    Code

    ULHT6634-1656
  • Syllabus

    Syllabus

    S1. Propositional Calculus and Quantifiers

    S2. Proofs

    S3. Set theory

    S4. Functions

    S5. Number theory

  • Objectives

    Objectives

    The main objectives of this unit are:

    LO1. Apply the elementary properties of the logical and quantification operations;

    LO2. Developing mathematical arguments using the usual methods of proof;

    LO3. Explain the basic concepts of sets and functions and perform elementary operation between these mathematical objects;

    LO4. Distinguish between countable and non-countable sets;

    LO5. Understand the number theory;

    LO6. Contribute for the acquisition of a set of skills: ability to assimilate and communicate information; ability to express themselves in writing; ability to express themselves orally.

  • Teaching methodologies and assessment

    Teaching methodologies and assessment

    The teaching methodology includes the expository method (TM1) to present the contents, the demonstrative method (TM2) to illustrate its application to practical cases and the active method (TM3) to solve classroom exercises.

    The assessment is made by continuous assessment or written exam.

    The continuous assessment consists of 3 tests carried out during practical lessons on dates to be defined at the beginning of the semester. Approval by continuous assessment requires the realisation of all tests. In case of failure to pass the course by continuous assessment, students may be assessed by a final attendance. There is no minimum mark in either case.

    The final mark may be increased by between 0.5 and 1 mark with the presence and correct answers to questions made during the theoretical lessons.

    Students with a final mark between 8 and 9.4, if they wish, may be subject to an extra test, under conditions to be defined, to obtain approval. 

  • References

    References

    • Slides e apontamentos das aulas
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