Mathematics III

Code:

EBE0013

Acronym:

MAT3

Keywords
Classification	Keyword
OFICIAL	Basic Sciences

Instance: 2019/2020 - 1S

Active?	Yes
Responsible unit:	Department of Civil Engineering
Course/CS Responsible:	Master in Bioengineering

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
MIB	81	Syllabus	2	-	6	56	162

Teaching language

Portuguese

Objectives

Introductory course on ordinary differential equations with applications to biology and medicine.

Learning outcomes and competences

The sylabus of this course will enable the student to either solve analitically a variety of differential equations and apply qualitative techniques when such an analytical solution is not possible.
Students will learn the important role that both qualitative and quantitative methods of differential equations theory play in areas like biology, biochemistry and medicine.

Working method

Presencial

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

Differential and integral calculus.

Program

• 
  
  First Order Differential Equations
  
  


• Second Order Linear Equations (homogeneous and special cases)


• Higher Order Linear Equations


• The Laplace Transform


• Systems of First Order Linear Equations


• Qualitative theory of Nonlinear Differential Equations


• Applications to Biomedical sciences

 

Mandatory literature

Braun M.; Differential equations and their applications. ISBN: 0-387-90266-X

Complementary Bibliography

J.D. Murray; Mathematical biology: An introduction

Teaching methods and learning activities

Both theoretical and practical matters will be presentend on the board.

Evaluation Type

Distributed evaluation with 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	158,00
Frequência das aulas	56,00
Total:	214,00

Eligibility for exams

The presence of each student, in the classes, is registered. The student cannot miss more than 25% of the planned classes.

Calculation formula of final grade

Students have the possibility of obtaining final approval through the realisation of two tests: one during the class period and the other on the same day of the normal season exam.
If the student gives up these two tests he/she still has the two exams commonly available during the exam season.



Final mark = exam mark
or
Final Mark = 0.8*T1+1.2*T2

where,
T1 = grade in first test
T2 = grade in second test

Special assessment (TE, DA, ...)

Following the evaluation rules in this School.

Classification improvement

In the second possibility of the final exam (ER) or following the evaluation rules in this School.

Observations

Any behaviour which might perturb the normal functioning of the class will be totally unaccepted. In particular, the playful use of mobile phones and any other engagement in activities which might hint to lack of respect towards the lecturer and the remaining students.