Mathematics

Code:

EIG0003

Acronym:

M3

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2009/2010 - 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
MIEIG	61	Syllabus since 2006/2007	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

Introduction to calculation
Derivatives
Derivative rules (sums, differences, product, quotient, etc)
Derivatives of polynomial functions
Derivatives of exponential functions
Derivatives of logarithmic functions
Derivatives of trigonometric functions
Derivatives of composite 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, 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
Attendance (estimated)	Participação presencial	8,00
Examinations	Exame	3,00		2009-11-13
	Total:	-	0,00

Amount of time allocated to each course unit

Description	Type	Time (hours)	End date
Study time for examinations	Estudo autónomo	6	2009-11-13
Study time following classes	Estudo autónomo	10	2009-11-13
	Total:	16,00

Eligibility for exams

Do not exceed more classes than allowed by the rules

Calculation formula of final grade

Mark of the final exam- 90 minutes
It will take place an extra exam, where students can be re-assessed.

Examinations or Special Assignments

Not applicable