Mathematics

Code:

EIG0003

Acronym:

M3

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2007/2008 - 1S

Active?	Yes
Responsible unit:	Mathematics Section
Course/CS Responsible:	Master in Engineering and Industrial Management

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
LGEI	0	Plano de estudos de transição para 2006/07	1	1	1	8	27
MIEIG	64	Plano de estudos de transiçao para 2006/07	1	-	1	8	27
		Syllabus since 2006/2007	1	-	1	8	27

Teaching language

Portuguese

Objectives

SPECIFIC AIMS:
The objectives are the review the fundamentals of mathematics. It is demand that the student gets solid theoretical and practical formation about the main concepts and results of the differential calculus in R.

LEARNING OUTCOMES:
At the end of lecture period the students should be perform the following aspects:
1 – To apply the basic differentiation rules of one variable real function.
2 – To apply the chain rule.
3 - To apply de derivative of the inverse functions.

Program

The derivative of a function. Geometric interpretation of the derivative as a slope. Basic differentiation rules.
The chain rule for differentiating composite functions. Applications of the chain rule.
Derivatives of inverse functions.

Mandatory literature

Larson, Hostetler & Edwards; Cálculo, McGraw-Hill Interamericana, 2006. ISBN: 85-86804-56-8 (vol. 1, oitava edição)
Carlos A. Conceição António; Análise Matemática 1, Texto de apoio (Capítulo 1), AEFEUP, 2007/2008
Carlos C. António, Catarina F. Castro; Exercícios de revisão de derivadas, 2007/2008

Teaching methods and learning activities

Theoretical-practical classes are based on written and oral expositions, supported on transparencies, about the contents of this course. Examples of application are presented frequently, especially at the end of each unit. In practical classes, the students will solve exercises in sheets conceived for that purpose.

Evaluation Type

Evaluation with final exam

Assessment Components

Description	Type	Time (hours)	Weight (%)	End date
Subject Classes	Participação presencial	8,00
Examination	Exame	2,00		2007-10-26
	Total:	-	0,00

Amount of time allocated to each course unit

Description	Type	Time (hours)	End date
Time to study for examination	Estudo autónomo	8	2007-10-26
Time to study for lessons	Estudo autónomo	9	2007-10-26
	Total:	17,00

Eligibility for exams

Not exceed the absence limit allowed in Article 4 of the General Evaluation Rules.