Mathematics

Code:

EM0003

Acronym:

M

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2011/2012 - 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
MIEM	176	Syllabus since 2006/2007	1	-	1	8	27

Teaching language

Portuguese

Objectives

LEARNING OUTCOMES
At the end of the semester, students should be capable of:
- applying derivation rules to polynomial, exponential, logarithmic and trigonometric functions
- calculating the derivative of a composite function and apply it
- obtaining the inverse derivative of a function

Program

Introduction to calculus
Derivation:
Derivation rules (sum, difference, product, quotient, etc)
Derivatives of polynomial functions
Derivatives of exponential functions
Derivatives of algorithmic functions
Derivatives of trigonometric functions
Derivatives of composed function
Derivatives of inverse function

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, 2008/2009

Teaching methods and learning activities

Brief exposition of course contents
Exercises

keywords

Physical sciences > Mathematics

Evaluation Type

Evaluation with final exam

Assessment Components

Description	Type	Time (hours)	Weight (%)	End date
Attendance (estimated)	Participação presencial	8,00
Attendance to two written exams	Exame	3,00		2011-11-07
Study along classes	Exame	10,00		2011-11-07
	Total:	-	0,00

Amount of time allocated to each course unit

Description	Type	Time (hours)	End date
Preparation for examination study	Estudo autónomo	6	2011-11-07
	Total:	6,00

Eligibility for exams

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

Calculation formula of final grade

Final Mark will be based on the mark of the final exam, which will last 90 minutes.
There will be a substitute exam, so that students can be reassessed.

Examinations or Special Assignments

Not applicable.