Mathematics I

Code:

M1014

Acronym:

M1014

Level:

100

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2016/2017 - 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	5	Official Study Plan	3	-	6	56	162
L:Q	53	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 without final exam

Assessment Components

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

Calculation formula of final grade

The content of this course will be divided into two parts, each evaluated by a test. The dates for the completion of the three tests are:

• 1st test: November 3rd, from 16:15 to 17:45
• 2nd test: the examination date scheduled for the 1st examination season (duration: 1,5 hours)

1st evaluation season:

• The final grade of the 1st evaluation season is the average of the 2 tests.

2nd evaluation season:

• In the 2nd evaluation season exam, the students can repeat again the two tests or only one of them.
• The grade of each part is the best between the grades obtained in the corresponding tests in the two seasons.
• The final grade of the 2nd evaluation season is the average of the grades of the two parts.

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

• Students who wish to take a classification improvement exam in the 1st examination season will have to take the two tests during the semestre and the final grade is the average of their scores.


• Students who want to improve their grades in the 2nd examination season have to take the two tests in the 2nd examination season exam date and the final grade is the average of their scores.