Mathematics

Code:

EM0003

Acronym:

M

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2007/2008 - 1S

Active?	Yes
Responsible unit:	Mathematics Section
Course/CS Responsible:	Master in Mechanical Engineering

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
LEM	0	Plano de estudos de transição para 2006/07	1	1	1	8	27
MIEM	182	Syllabus since 2006/2007	1	-	1	8	27
		Plano de estudos de transição para 2006/07	1	-	1	8	27

Teaching language

Portuguese

Objectives

1- BACKGROUND
Almost every aspect of professional work in the world involves mathematics. A calculus course is a gateway to technical and professional careers for a wide range of curricula. A solid knowledge of mathematical analysis is required for any engineering degree namely mechanics and industrial management.
2- SPECIFIC AIMS
To review the basics of mathematical analysis. To acquire theoretical and practical concepts of differential calculus in R.
3- PREVIOUS KNOWLEDGE
High school math. Recognition of relationships that expresses one variable as a function of another: functions and graphs. The limit concept, the concept of continuity at a point and the derivative of a function.
4- PERCENT DISTRIBUTION
Scientific component:75%
Technological component:25%
5- LEARNING OUTCOMES
Knowledge and Understanding-The basics of differential calculus.
Engineering analysis-Application of differentiation rules of one real variable function.
Engineering design- Identification of derivatives as slope predictors and rates of change.
Investigations- Dependent variables as a function of both of the intermediate variable and of the independent variable.
Engineering practice- Differentiation of composite functions. Applied maximum-minimum simple problems.
Transferable skills- Differentiation rules.

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.
Trigonometric functions.
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. Application examples are frequently presented, especially at the end of each unit. Students are encouraged to solve exercises purposed during class.

keywords

Physical sciences > Mathematics > Applied mathematics > Engineering mathematics
Physical sciences > Mathematics

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 of FEUP.

Calculation formula of final grade

Final classification corresponds to the performance obtained during a 60 minute written exam.
Students are allowed to improve the classification with an extra 60 minute written re-evaluation.

Examinations or Special Assignments

Not applicable.

Special assessment (TE, DA, ...)

Not applicable.

Classification improvement

Classification improvement can be obtained according to the General Evaluation Rules of FEUP.