Mathematical Analysis II

Code:

EA0011

Acronym:

AM II

Keywords
Classification	Keyword
OFICIAL	Basic Sciences
OFICIAL	Design, Development, Implementation and Operation
OFICIAL	Interp/Personal professional attitudes and capac.

Instance: 2011/2012 - 2S

Active?	Yes
Web Page:	http://moodle.fe.up.pt
Responsible unit:	Mining Engineering Department
Course/CS Responsible:	Master in Environmental Engineering

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
MIEA	106	Syllabus since 2006/07	1	-	6	56	162

Teaching language

Portuguese

Objectives

The themes taught in this course unit are seen as an engineering tool/ language. Therefore, it is expected that the student will be able to understand and correctly use the basic mathematical concepts and procedures. This course unit, as well as Mathematical Analysis I, is focused on the understanding and exercise of an extremely operational, compact and synthetic language, necessary for the (mathematical) development of fundamental concepts and themes on other courses of the degree. In that sense, it aims to provide the student with a knowledge basis which may help on the understanding of different specific contents of the undergraduate degree.
During this Integrated Masters will be stimulated the development of personal skills of problem resolution in an autonomous and critical way without using algebraic manipulators. It will also be developed students’ skills to question a certain problem, as well as their analysis and discussion skills, so that subjects related to this course unit can be debated in class.

Program

Curves. Real functions of various variables. Partial derivatives.
Differential equation.
Polynomial Approximation and Series of Functions.
Real functions of vector variable.
Vector functions of vector variable.
Multiple, curved and surface integral.
Examples of application using equations of physical mathematics and geo-environmental.

Mandatory literature

Piskounov, N.; Cálculo diferencial e integral
Piskounov, N.; Cálculo diferencial e integral

Complementary Bibliography

Diversos
Edwards, C. Henry; Calculus. ISBN: 0-13-095006-8
Larson, Hosteteler, Edwards; Cálculo - Vol2, McGraw Hill, 2006

Teaching methods and learning activities

All the topics of the program will be taught trying to enable students to interiorise the corresponding concepts and methods, besides the formal aspects. The concepts will be orally presented and the board will be used and occasionally images of calculation machines and the computer applications referred on “Software” will be projected.
Problem solving is, whenever possible, accompanied by discussion.

Software

Maxima

Evaluation Type

Evaluation with final exam

Assessment Components

Description	Type	Time (hours)	Weight (%)	End date
Attendance (estimated)	Participação presencial	0,00
	Total:	-	0,00

Eligibility for exams

According to General Evaluation Rules of FEUP.

Calculation formula of final grade

Final exam and/or recurso (resit) exam

Examinations or Special Assignments

Not applicable

Special assessment (TE, DA, ...)

According to General Evaluation Rules of FEUP.

Classification improvement

Recurso (resit) exam