Mathematical Analysis I

Code:

EEC0003

Acronym:

AMAT1

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2006/2007 - 1S

Active?	Yes
Web Page:	http://www.fe.up.pt/am1/
Responsible unit:	Fundamental Sciences and Electrotechnics
Course/CS Responsible:	Master in Electrical and Computers Engineering

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
LEEC	1	Plano de estudos de transição para 2006/07	1	8	8	97	214
MIEEC	497	Syllabus since 2006/2007	1	-	8	97	214

Teaching language

Portuguese

Objectives

The first aim of this course is to revise (correcting any mistakes, if necessary) the concepts acquired by the students in the Mathematic classes in secondary school and to develop algebraic manipulation techniques.

We want the students to understand and know how to manipulate the concepts introduced in class (Numeric Series, Integral of a variable and Linear Differential Equation until level two), to do the geometric interpretation of these concepts and know how to apply them to new situations, especially to solving theoretical and practical exercises.
This course also intends to develop the ability to apply mathematical methods and concepts to the resolution of engineering problems.

Program

Revision of the contents studied in Secondary School. Successions and Numeric Series. Real functions of a real variable. Limits. Continuity. Derivation. Indefinite Integral numbers as the opposite operation to Derivation. Linear Differential equations Level 1 and 2. Definite integral numbers and their applications.

Mandatory literature

Stein, Sherman K.; Calculus and Analytic Geometry. ISBN: 0-07-061175-0
Adams, Robert A.; Calculus. ISBN: 0-201-39607-6
Larson, Hostetler e Edwards, Barcellos; Calculo, (Vols. 1,2)
Apostol, Tom M.; Calculus
Maria do Rosário de Pinho e Maria Margarida Ferreira; Análise Matemática 1, Apontamentos das Aulas Teóricas, 2006

Teaching methods and learning activities

Theoretical Classes:
Presentation of theoretical concepts, giving special emphasis to geometric interpretations and to their practical application.
The demonstration of theoretical concepts is always made, as long as it helps the understanding. After the presentation of a theoretical concept, the students will make some exercises related to that. Throughout classes, we look for the participation of the students, not only to make exercises, but also to introduce new concepts.

Theoretical-Practical Classes:
Solving exercises that illustrate and clarify the contents studied in theoretical classes.
Practical Classes:
Orientation of the study of this course and clarification of any doubts that might come up with the resolution of the proposed exercises. Division of the class into groups of 3 or 4 students. In each practical class some of the groups will be randomly chosen. Each group will have one of its elements going to solve the problem on the board. This person is also randomly chosen. The exercise will be one of a list of 3 or 4 exercises previously indicated by the teacher.
The participation in these practical classes will be a part of the continuous evaluation of this course.

Evaluation Type

Distributed evaluation without final exam

Assessment Components

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

Eligibility for exams

Regardless of the distributed component evaluation, any student who was not dismissed from frequency and exceeded the absence limit of practical classes (25% of the planned classes) will NOT be allowed to do this course’s exam. Furthermore, each and every student who hasn’t exceeded the absence limit will be allowed to do the exam, regardless of his classification in the distributed component.

Calculation formula of final grade

The final classification will be obtained out of the exam grade and the grade of the evaluation in practical classes, according to the following:
MAX {0.2×P + 0.8×E, E}
P represents the grade of the distributed evaluation of practical classes and E represents the grade of the exam. They both range from 0 to 20. The result will, then, be rounded to units.

Special assessment (TE, DA, ...)

The students that, in 2004/2005, have either the military status or that of working student are dismissed from frequency and from the distributed component.

Classification improvement

Classification improvement is made with a final written exam. Its result represents 100% of the final classification.

Observations

Language of instruction: Portuguese.