Mathematic

Code:

M1029

Acronym:

M1029

Level:

100

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2022/2023 - 1S

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

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
L:AP	48	Official Study Plan	1	-	6	56	162

Teaching language

Suitable for English-speaking students

Objectives

The aim of this course is that the student:
- masters some basic concepts of probability and statistics, specially those necessary for geographic information course units;
- masters basic concepts and results of trigonometry; and plane gepmetry;
- masters basic concepts, techniques and some applications about graphs and functions of real varible.

Learning outcomes and competences

Acquisition of basic skills in probability and statistics, trigometry, Euclidean plane geometry, pre-calculus.

Working method

Presencial

Pre-requirements (prior knowledge) and co-requirements (common knowledge)

Mathematics contents up to the 9th year of schooling.

Program

1) Statics and numerical methods:
Sum symbol; average, variance, standard deviation; Correlation coefficient of two variables and least squares line; interpretation and application of concepts and results. 

2) Trigonometry:
Oriented angles; Trigonometric circle; Measure of an angle. Sine,cossine and tangent of an angle. Applications.

3) Geometry: 
Coordinate axes and point coordinates;  Distance between two points; Circle and sphere equations.Plane symmetries; applications: friezes and tesselations. Introduction to fractals.

4) Graphs and Functions:
Using graphs and tables to present information. Function: concept, graph and properties.

Mandatory literature

Elizabeth Reis, Rosa Andrade, Teresa Calapez e Paulo Melo; Estatística Aplicada - Vol. 1 - 7ª Edição, Edições Sílabo, 2021. ISBN: 9789895611867
António Machiavelo; 43 miniaturas matemáticas. ISBN: 978-989-616-541-3

Complementary Bibliography

Crilly Tony; 50 ideias de matemática que precisa mesmo de saber. ISBN: 978-972-20-4708-1

Teaching methods and learning activities

Presentation of topics in lectures, including the relevant examples.
Exercises presented in the course's homepage, solved in example classes.

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	52,00
Total:	158,00

Eligibility for exams

Not applicable.

Calculation formula of final grade

The final mark is the sum of the classifications in 3 tests.

The first and the second tests are for 7 points each and the third for 6 points. For approval the student should obtain at least 9,50 points as total sum of the tests. If the student doesn't do the test he/she gets 0 (zero) points.

During the exam period there is an additional test divided in 3 parts, each corresponding to a test, so that each student can improve the classification obtained in a test or tests.

 An additional test, either written or oral, may be asked of students aiming at marks over 18 out of 20.

The student can add up to 2 points to the  final mark (to a maximum of 20 points) by solving extra given exercises: 4 exercises, more difficult than those solved at the xample classes, corresponding to different parts of the program, each quoted to 0,5 points. At one of the final classes, the students will present an exercise.

Examinations or Special Assignments

The student can add up to 2 points to the final mark (to a maximum of 20 points) by solving extra given exercises: 4 exercises, more difficult than those solved at the xample classes, corresponding to different parts of the program, each quoted to 0,5 points. At one of the final classes, the students will present an exercise.

Special assessment (TE, DA, ...)

Written exam.

Classification improvement

Written exam.

Observations

The jury may ask a student to do an extra test in case of doubt about his/her tests or exam.