Elementos de Matemática

Knowledge and mastery of the subjects taught in Mathematics of the secondary school.

The expository method will be accompanied by the resolution of exercises, individually or in groups, with the coordination of the teacher. In a more practical aspect, open source software (GeoGebra and others) will be used to solve exercises and problems.

In addition to face-to-face classes, where students are constantly encouraged to participate and thus are not merely passive listeners, students are also encouraged and even assessed based on their participation in online activities (e-activities) available on the course page on the moodle@isec platform.

The syllabus includes mathematical topics that are essential for students to be able to understand the subjects taught in the different curricular units of the degree in sustainable city management.

Students need to understand and know the main units of measurement, calculate with real numbers, understand and know various real functions with real variables, interpret and know how to calculate the derivative, calculate with matrices and solve systems of linear equations. They should be able to apply these concepts to solve problems.

The aim is for students to develop the following skills: autonomy, research, critical thinking, problem interpretation, reasoning and the use of software to interpret and carefully solve problems.
These objectives are worked on continuously in classes where concepts are presented, interpreted and illustrated (using software) and application problems are solved.

1. Units of the international system of units of measurement
2. Real numbers and real functions of real variables
3. Derivatives and differential calculus
4. Matrices and systems of linear equations
5. Polynomial interpolation

In the Elements of Mathematics (EM), there are two assessment options (continuous and periodic assessment or exam assessment), as follows:

1st Option: [Continuous and periodic assessment. Students enrolled for the first time in this course can only access this option if their class attendance is at least 70%, and other students must attend at least 50% of classes]
» Tests with a weight of 60% - 12 points on a scale of 0 to 20

• Test A and Test B
• Normal Exam
• Recurso Exam

» Assignments, applied and computational mathematics work, learning activities, and distributed assessment throughout the semester (e-activities) with a weight of 40% - 8 points on a scale of 0 to 20

2nd Option: [Assessment through tests or exam]
» Tests with a weight of 100% - 20 points

• Test A and Test B
• Normal Exam
• Recurso Exam
• Special Exam

For the final grade calculation, the student must score at least five (5) points in each Test or Exam. Regarding written tests, students can be assessed by:

• Two tests (Test A and Test B), with Test A being a mid-term test held in the middle of the semester on a date to be determined, and Test B held on the same date as the regular exam. The test grade will be the arithmetic average of both tests;
• One test (normal exam, recurso exam, special exam).

Learning activities and distributed assessment throughout the semester (assignments, applied and computational mathematics work) will be carried out in groups of 2 students. One group member must submit the work (upload it to the course page on the moodle@isec platform), including the names and student numbers of all group members. In special cases, activities may be completed individually. Whenever deemed necessary or randomly, students must present and defend the submitted work/activities. Submitting activities after the defined deadline may result in a penalty. The assessment of the assignments also requires the submission of self-evaluation and peer evaluation of the work and group members.

Exams are conducted in person (with the potential use of a computer if conditions allow), and the final grade will be the best of the grades with or without activities, i.e.,

Grade = Max(60%*Tests+40%Work&Act; 100%*Tests)

» Additional Evaluation
i. If the student has regular class attendance (aA), is punctual, and has a proactive, participative, and constructive attitude in class:

• if aA = 100%, then add 1 point to the final grade
• if 90% <= aA < 100%, then add 0.75 points to the final grade
• if 75% <= aA < 90%, then add 0.5 points to the final grade
• if 50% <= aA < 75%, then add 0.25 points to the final grade

ii. Regarding attendance (aGF) at office hours and/or active participation in the course forums on the MatApl1 page on the moodle@isec platform, according to the forum participation rules and during the lecture period:

• if aGF = 100% of classes, then add 1 point to the final grade
• if 75% <= aGF < 100%, then add 0.75 points to the final grade
• if 50% <= aGF < 75%, then add 0.5 points to the final grade

If the final grade exceeds 18 points, students must undergo a supplementary exam (oral and/or written), but if they choose not to take this exam, the final grade will be eighteen (18) points. Conducting additional orals will be another assessment tool to consider, whenever necessary, to resolve doubts and/or suspected cases of fraud or plagiarism in student assessments. Any student who achieves a final rounded grade of ten (10) or higher will be considered to have passed the course. As attendance is not mandatory in this course and there are two assessment options, students with working-student status are subject to the same assessment method proposed for other students.

NAO