Mathematical Analysis II

Code:

EMG0007

Acronym:

AM II

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2012/2013 - 2S

Active?	Yes
E-learning page:	https://moodle.fe.up.pt/
Responsible unit:	Mining Engineering Department
Course/CS Responsible:	Bachelor in Mining and Geo-Environmental Engineering

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
LCEEMG	40	Plano de estudos oficial a partir de 2008/09	1	-	6	56	162
MIEA	86	Syllabus since 2006/07	1	-	6	56	162

Teaching language

Suitable for English-speaking students

Objectives

The topics taught in this course are seen as a tool/language of engineering. In that sense, it is expected that the student will be able to understand and correctly use the basic mathematical concepts and procedures. This course, as well as Mathematical Analysis I, is focused on the understanding and exercise of an extremely operational, compact and synthetic language, necessary to develop (mathematical) concepts and topics of fundamental importance to other courses of the degree. In that sense, its main objective is to provide students with a knowledge base that will enable them to understand different specific contents of the undergraduate degree.

Learning outcomes and competences

Apply the concepts of:

Real or vector function of vector argument;

Partial Derivative;

Differential equations and differential operators ;

Multiple, line and surface integrals.

Working method

Presencial

Program

Complex numbers; Curves; Multivalued functions. Differential equations. Polynomial Approximation and Series of Functions; Real Functions of Vector Variable; Vector Functions of Vector Variable; Multiple Integrals. Practical examples using equations from various domains.

Mandatory literature

N. Piskounov; Cálculo diferencial e integral
Larson; Hostetler; Edwards; Cálculo, McGraw Hill. ISBN: 85-86804-56-8

Complementary Bibliography

C. Henry Edwards, David E. Penney; Calculus. ISBN: 0-13-095006-8

Teaching methods and learning activities

Oral exposition, possibly using the blackboard, transparencies and computer image projection as material support. Application exercises in direct problem solving.

Software

Maxima, a Computer Algebra System

Evaluation Type

Evaluation with final exam

Assessment Components

Description	Type	Time (hours)	Weight (%)	End date
Final exam	Exame	3,00	100,00
	Total:	-	100,00

Amount of time allocated to each course unit

Description	Type	Time (hours)	End date
Presentation Classes	Frequência das aulas	52	2013-06-05
Lab classes	Frequência das aulas	18
Study	Estudo autónomo	92
	Total:	162,00

Eligibility for exams

Students cannot exceed the absence limit according to the General Evaluation Rules in force.

Calculation formula of final grade

Obtained in the final exam and/or re-sit exam.

Examinations or Special Assignments

Not foreseen.

Internship work/project

Not foreseen.

Special assessment (TE, DA, ...)

According to the general evaluation rules.

Classification improvement

Re-sit exam.