Mathematical Methods in the Sciences

Code:

M3012

Acronym:

M3012

Level:

300

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2020/2021 - 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	4	Official Study Plan	2	-	6	56	162
			3
L:G	1	study plan from 2017/18	2	-	6	56	162
			3
L:M	48	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 the mathematical theory underlying the models and also its use in the resolution of problems.

Working method

Presencial

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 the following:

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.

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	102,00
Frequência das aulas	56,00
Trabalho escrito	4,00
Total:	162,00

Eligibility for exams

Not applicable.

Calculation formula of final grade

In both calls the final score will be the score obtained in the exam, with a total score of 20 points and divided in two parts:
Part 1 - Conservative Mechanics - 12 points
Part 2 - Epidemiology - 8 points.

Special assessment (TE, DA, ...)

Any special assessment will consist of an exame in the same conditions of the first and second call.

Classification improvement

Improvement of grade must be done in the second call.