Mathematics II

Code:

M1018

Acronym:

M1018

Level:

100

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2023/2024 - 2S

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	48	162
L:CC	0	study plan from 2021/22	2	-	6	48	162
L:F	0	Official Study Plan	2	-	6	48	162
L:G	0	study plan from 2017/18	2	-	6	48	162
L:Q	48	study plan from 2016/17	1	-	6	48	162
			3

Teaching language

Portuguese

Objectives

To introduce the basic concepts and results on Vector Spaces and extend the study of Calculus to multivariable Calculus.

Learning outcomes and competences

A student is expected to know the concepts and basic results covered in the course and to develop the ability to use them.

Working method

Presencial

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

It is assumed in this course that the student is familiar and is capable of using the basic notions of Linear Algebra and Calculus given in the previous course Matemática I.

Program

Planned program

1. Linear Algebra and applications to Analytic Geometry.

2. Parameterized curves.

3. Vector multivariable functions.

4. Real multivariable functions; function extrema and multivariable integrals.

Mandatory literature

Texto de apoio; disponível na página da disciplina no Moodle.

Complementary Bibliography

Adams Robert A.; Calculus. ISBN: 0-321-27000-2
Anton Howard; Elementary linear algebra. ISBN: 0-471-66959-8
Fraleigh John B.; Linear algebra. ISBN: 0-201-52675-1
Stewart James 1941-; Cálculo. ISBN: 978-85-221-2584-5 2o v.

Teaching methods and learning activities

The content of the syllabus is presented at the lectures, and proposed exercises are solved at the practical 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	56,00
Total:	162,00

Eligibility for exams

No requirements.

Calculation formula of final grade

During the semester there will be two tests, each with quotation 10. The second test will take place at the first exam season.

Course approval can be obtained 

1) at the first exam season, where the final classification is the sum of the classifications obtained in the two tests.

2) in the final exam, to be held at the second or special exam season.

The final exam consists of 2 parts, each corresponding to a test.

In the final exam, students who have not yet obtained approval (and only these) may choose not to solve one part of the exam, that would then get the grade of the corresponding test.

Classification improvement

Students wishing to undertake a classification improvement must solve all parts of the exam.

Observations

It may be asked to any student to take an extra oral or written examination if any doubt concerning his/her performance occurs on certain assessment pieces.