Algorithms in Discrete Mathematics

Code:

M2007

Acronym:

M2007

Level:

200

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2020/2021 - 1S

Active?	Yes
Responsible unit:	Department of Mathematics
Course/CS Responsible:	Bachelor in Mathematics

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
L:B	0	Official Study Plan	3	-	6	56	162
L:CC	7	Plano de estudos a partir de 2014	2	-	6	56	162
			3
L:F	0	Official Study Plan	2	-	6	56	162
			3
L:G	0	study plan from 2017/18	2	-	6	56	162
			3
L:M	67	Official Study Plan	2	-	6	56	162
L:Q	0	study plan from 2016/17	3	-	6	56	162

Teaching language

Suitable for English-speaking students

Objectives

Learning outcomes and competences

It is intended that by the end of this course the student can:
• Complete and give structure to some previously acquired basic knowledge;

• Solve problems through structured elementary methods;
• Understand and apply basic and universal concepts, that are basic for several tools of various sciences, in a context close to the applications;
• Use (and create, whenever possible) algorithmic solutions to various problems.
• Be able to use computational tools to solve problems, namely the SageMath software.

Working method

Presencial

Program

Mandatory literature

Bender Edward A. 1942-; Mathematics for algorithm and systems analysis

Complementary Bibliography

Bondy J. A.; Graph theory with applications. ISBN: 0-333-17791-6
Cormen Thomas H.; Introduction to algorithms. ISBN: 9780262031417 hbk
Sedgewick Robert 1946-; An introduction to the analysis of algorithms. ISBN: 978-0-201-40009-0

Teaching methods and learning activities

Software

SageMath

keywords

Physical sciences > Mathematics > Algorithms
Physical sciences > Mathematics > Combinatorial analysis

Evaluation Type

Distributed evaluation without final exam

Assessment Components

designation	Weight (%)
Teste	100,00
Total:	100,00

Amount of time allocated to each course unit

designation	Time (hours)
Estudo autónomo	106,00
Frequência das aulas	56,00
Total:	162,00

Eligibility for exams

Students must attend at least one of the 3 tests comprising the distributed assessment.

Calculation formula of final grade

1. On the Normal Exam period (Época Normal), the total mark is the sum of the marks on each of 3 tests:

Test 1: This test is marked for a total of 6 points and it will take place during class period, at a date agreed upon with the students.

Test 2: This test is marked for a total of 4 points and it will take place during class period, at a date agreed upon with the students.

Test 3: This test is marked for a total of 10 points and it will take place on the date set for the exam of the Normal Exam period.

2. On the Makeup Exam Period (Época de Recurso) the total mark is obtained on an exam set for a total of 20 points.

The exam will be divided into 3 parts, allowing the students who have not yet been approved in this class to use the score they have previously obtained on one or more of the 3 tests from the Normal Exam period (Época Normal) in the corresponding part of this exam. In any of the parts, the grade which will be considered is the maximum of the grade obtained on the exam and the grade possibly obtained on the corresponding test in the Normal Exam period (Época Normal).

During the semester, at times duly announced in calss or through Moodle, the students may be given the oportunity to work on small, optional assignments to potentially suplement their grade on one of the tests. None of these assignments can be worth more than 1 point and the total amount of points which can be used to suplement the test grades cannot exceed 3.

Special assessment (TE, DA, ...)

Any type of special student evaluation may take one of the following forms: exclusively an oral examination; an oral examination plus a written examination, the student being required to pass both of them; only a written examination. The option for one of them is the sole responsibility of the professors in charge of the course unit.

Observations

Article 13 of General Regulations for Student Evaluation at the levels of First Cycle, Integrated Masters, and Second Cycle at U.Porto, approved on May 19, 2010 (cf. http://www.fc.up.pt/fcup/documentos/documentos.php?ap=3&ano=2011): "Fraud committed during an exam, in any form, implies the annulment of the exam and the communication to the statutorily competent organ for possible disciplinary action."

Any student may be required to take an oral examination should there be any doubts concerning his/her performance on the assessment pieces.

Jury:
Samuel António de Sousa Dias Lopes
Pedro Ventura Alves da Silva