Mathematics I

Code:

M1014

Acronym:

M1014

Level:

100

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2021/2022 - 1S

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

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	0	study plan from 2021/22	2	-	6	56	162
L:EG	17	The study plan from 2019	1	-	6	56	162
L:F	0	Official Study Plan	2	-	6	56	162
			3
L:Q	54	study plan from 2016/17	1	-	6	56	162
			3

Teaching language

Portuguese

Objectives

By completing this course, the student should master the concepts of derivative, primitive and integral; he should know how to calculate some cases of differential equations and know how to use them to model specific situations; and he must understand and know how to work with the concept of matrix.

Learning outcomes and competences

By completing this course, the student should be able to: find derivatives, primitives and integrals; use the properties of these concepts; solve some particular cases of differential equations (linear and separable equations of 1st order and 2nd order linear equations with constant coefficients); model some situations through differential equations; make the main matrix operations; calculate determinants of square matrices; determine eigenvectors and eigenvalues of matrices; diagonalize a matrix (if possible); use some diagonalization properties of matrices.

Working method

Presencial

Program

1. Derivatives


2. Primitives


3. Integrals


4. Differential equations


5. Matrices


6. Determinants


7. Diagonalization

 

Mandatory literature

Anton Howard; Álgebra linear com aplicações. ISBN: 978-85-7307-847-3
Adams Robert A.; Calculus. ISBN: 0-201-82823-5

Teaching methods and learning activities

Contact hours are divided into theoretical and practical classes. In the first, the contents of the course are presented using examples to illustrate them and to guide the students. In the practical classes some exercises will be solved. Support materials are available on the course webpage (Moodle). In addition to the classes, there are periods of attendance per week where students have the opportunity to ask questions.

keywords

Physical sciences > Mathematics > Applied mathematics

Evaluation Type

Distributed evaluation with final exam

Assessment Components

designation	Weight (%)
Exame	45,00
Teste	45,00
Trabalho escrito	10,00
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

Not applicable.

Calculation formula of final grade

The content of this course will be divided into two parts, each evaluated separately. The final classification of this course unit will be obtained as follows:

• 45% - classification of the first part of the course content.


• 45% - classification of the second part of the course content.


• 10% - completion of the tasks requested during the semestre.

Regular Season:

• The first part will be evaluated by a test.


• The second part will be evaluated on the date set for the examination of this UC during the regular season. It should be noted that the first part of the course content will not be evaluated in the examination of this UC during the regular season.

Second examination season (except for classification improvement exams):

• The examination in the second examination season will be divided into two parts.


• At the second examination season, the final classification of each part will always be the best between the classifications obtained in the regular season and the second examination season. It should be noted that a student may choose not to do one of the parts in the second examination season, keeping the grade obtained during the regular season in that part.

Special assessment (TE, DA, ...)

Any examination required under special statutes consist of a written exam that can be preceded by an oral or written evaluation.

Classification improvement

• For the porpuse of improving the grade, only the grades obtained in the two parts of the course content will count, each with the weight of 50%.


• Students wishing to take a grade improvement examination in the regular season must do the test that will occur during the semestre.


• Students who want to improve their grades at the second examination season will have to do both parts on the day scheduled for the second season exam and the final grade will be the average of those two parts.