Mathematical Methods in the Sciences

Code:

M3012

Acronym:

M3012

Level:

300

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2019/2020 - 2S

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

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	Plano de estudos a partir de 2014	2	-	6	56	162
			3
L:F	7	Official Study Plan	2	-	6	56	162
			3
L:G	0	study plan from 2017/18	2	-	6	56	162
			3
L:M	43	Official Study Plan	2	-	6	56	162
			3
L:Q	0	study plan from 2016/17	3	-	6	56	162

Teaching language

Portuguese

Objectives

Study of mathematical models in Biology, Physics or Economics. Models in two different sciences will be addressed.

Learning outcomes and competences

The students should master not only the mathematical theory underlying the models but also its use in the resolution of problems.

Working method

B-learning

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

Two semesters of Linear Algebra, two semesters of Real Analysis and one semester of Differential Equations are advised. Gaps in these subjects may require additional effort.

Program

Study of two modules from the following set:

1. Module of Conservative Mechanics - study of the mathematical theory underlying the Lagrangian formalism of conservative mechanical systems and resolution of classical problems using this formalism. 
2. Module of Epidemiology - study of the mathematical theory underlying the study of models for spread of infectious diseases and its application to real life problems. 
3. Module of Economics - study of the mathematical theory underlying the study of some economic models and its application to real problems.

Mandatory literature

V. I. Arnold; Mathematical methods of classical mechanics. ISBN: 0-387-96890-3
Fred Brauer; Mathematical models in population biology and epidemiology. ISBN: 0-387-98902-1
Maia Martcheva; An Introduction to Mathematical Epidemiology, Springer, 2015. ISBN: 978-1-4899-7612-3

Teaching methods and learning activities

Classes with exposition of the theory and illustration by examples. The last part of each class will be used for resolution, by the students, of concrete problems.

keywords

Physical sciences > Mathematics > Applied mathematics

Evaluation Type

Evaluation with final exam

Assessment Components

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

Amount of time allocated to each course unit

designation	Time (hours)
Estudo autónomo	104,00
Frequência das aulas	56,00
Trabalho escrito	2,00
Total:	162,00

Eligibility for exams

Not applicable.

Calculation formula of final grade

The final score will be obtained by final examination on a scale from 0 to 20.

Special assessment (TE, DA, ...)

Students that, due to special conditions, are exempted from distributed assessment will have an exam under the conditions described for the second call.

Observations

According to the directives sent by the Director fo FCUP on the first of May, assessments in person will only be allowed in the dates of the first and second call.

As such, the change described below will not TAKE PLACE.

*********************************************************Both assessments will take place, in person, on the second of June, date foreseen for the second assessment.
The second call will remain on the scheduled date, and will also take place in person. 

Note that the first assessment, initially due on the 2nd of April, did not take place due to the restrictions imposed by the COVID-19 pandemic. 

Jury: 
Inês Maria Bravo de Faria Cruz
Maria de Fátima Taveira Pires de Carvalho