Calculus on Computers

Code:

M122

Acronym:

M122

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2014/2015 - 2S

Active?	Yes
Web Page:	https://moodle.up.pt/course/view.php?id=2405
Responsible unit:	Department of Mathematics
Course/CS Responsible:	Bachelor in Mathematics

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
L:AST	0	Plano de Estudos a partir de 2008	1	-	7,5	-
			3
L:B	1	Plano de estudos a partir de 2008	3	-	7,5	-
L:F	1	Plano de estudos a partir de 2008	2	-	7,5	-
L:G	0	P.E - estudantes com 1ª matricula anterior a 09/10	3	-	7,5	-
		P.E - estudantes com 1ª matricula em 09/10	3	-	7,5	-
L:M	78	Plano de estudos a partir de 2009	1	-	7,5	-
L:Q	0	Plano de estudos Oficial	3	-	7,5	-

Teaching language

Portuguese

Objectives

Manipulation  of computer algebra system Maxima to solve problems in analysis, algebra and geometry

Learning outcomes and competences

Use of  Maxima software for numeric/ymbolic calculus  and graph plotting.

Working method

Presencial

Program

1 Introduction to Maxima:
   graphic interface; variables; functions; programming; graphics

2. Solving problems in linear algebra:
     matricvial calculus, determinants, eigenvalues, affine transformations of plane and space;
    solving linear recurrences.

3. Solving problems in differential calculus:
     differentiation;  integration; graphics plots (2d and 3d); curves in plane and space; tangent plane;
    maximum and minimum problems; solving non-linear equations; solving nonlinear system of equations.

4. Solving problems in elementar number theory;
     integer and polynomial division; greatest common divisor; prime factorization; congruences.

  

Mandatory literature

http://maxima.sourceforge.net/documentation.html; Documentação do Software Maxima, Website, 2012

Complementary Bibliography

Adams Robert A.; Calculus. ISBN: 0-321-27000-2
Anton Howard; Álgebra linear com aplicações. ISBN: 978-85-7307-847-3
Harris Kent; Discovering calculus with Maple. ISBN: 0-471-55156-2
Bauldry William C.; Linear algebra with Maple. ISBN: 0-471-06368-1

Teaching methods and learning activities

Lecturers  followed by pratical classes based on the use of Maxima software in in computer aboratory. 

 

Software

Maxima (http://maxima.sf.net (Janeiro 2013)

Evaluation Type

Distributed evaluation with final exam

Assessment Components

designation	Weight (%)
Exame	60,00
Teste	40,00
Total:	100,00

Eligibility for exams

- 3 tests (30 min. eqch) during pratical classes

- Final exam

All avaliation is carried out on computer terminal (software Maxima)

Calculation formula of final grade

 first season

max(T1+T2+T3+Ex, 5Ex/3)

where

T1 - test carried on pratical classes - 2,5 valores

T2 -  test carried on pratical classes . 2,5 valores

T3 -  test carried on pratical classes - 3 valores

Ex - Final exam - 12 valores

 

 

Second season :

final exam - 20 valores

(in second season, T1,T2;T3 grades obtained in pratical classes will not be considered)

 

 

Special assessment (TE, DA, ...)

Final Exam

Classification improvement

Final Exam