Course:

Licenciatura em Tecnologias da Música

Profile(s):

Branch(es):

Contact Hours per Semester:

22.5

Scientific area:

TM

Curricular year:

1

Semesterly/Yearly:

Semestral

Option:

[""]

ECTS:

3

Type (1):

T

Teacher responsible for the Curricular Unit:

Gonçalo Marques

Time allocation for the C.U.:

22.5

Other teachers and time allocation for the C.U:

Learning Outcomes (knowledge, aptitudes and skills to be developed by the students)

Melhorar a preparação anterior dos estudantes na área da Matemática em diversas matérias necessárias ao desenvolvimento das UCs, da área científica, onde a matemática é essencial.

Syllabus:

Discrete and continuous notions and probabilities. Basic notions of descriptive statistics. Hypothesis tests. Matrices. Vector spaces and linear shapes. Solving systems of linear equations. Limits and continuity of functions. Differential calculation. Derivatives. Composite function and implicit function. Maxima, minima and inflection points. Partial derivatives. Integral calculation. Primitives. Defined integral. Applications of integral calculus: area and length of an arc. Applications of integral calculus: volume. Infinite series. Power series. 1st and 2nd order differential equations. Basics of probabilities and statistics.

Demonstration of the Articulation of the Programme Contents with the Objectives of the C.U.

Since the objective of the UC the acquisition of knowledge and competences so that the student can intervene in a diversity of contexts, the indicated program contents are selected in order to fill the scope of the subjects involved from the point of view of the mathematical formation to approach the other UCs that need solid skills in the field.

Teaching and Evaluation Methods:

The teaching methodology is based on systematic and organized presentation of information by the teacher, complemented with its study and the approach to the exercises and activities realized in class, as specified in the C.U. objectives. The evaluation process is based on observation of the quality of participation in the activities developed during the classes, including classroom works, tests or exams, verifying the level of the acquired knowledge and skills as specified in the C.U. objectives. Group class. CONTINUOUS EVALUATION AF = T1x0.5 + T2x0.5 AF Final Assessment, T1 Test 1, T2 Test 2. Maximum absences to be proficient in continuous assessment: 3 (except student workers). Students who have not completed the Continuous Assessment or fail due to absences may present the Exam in the Normal Season and if they fail, they may still be present at the Appeal Time. Students who have failed the Continuous Assessment may take the Exam only at the Appeal Time.

Demonstration of the Articulation of the Teaching Methodologies with the Learning Objectives of the C.U.:

The coherence of teaching methodologies with the learning objectives is assessed through the performance and evolution of the student in class, in the presentation of papers, tests and / or exams and by the best use in the approach of the other UCs where mathematics is fundamental.

Bibliography:

Strang, Gilbert (2005), Linear Algebra and Its application, Thomson Broos/Cole. Bento . Murteira (1992), robabilidades e estatística, McGra­ill