Mathematical Laboratory

Code:

M1025

Acronym:

M1025

Level:

100

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2025/2026 - 1S

Active?	Yes
Web Page:	https://moodle.up.pt/course/view.php?id=668
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:M	72	Official Study Plan	1	-	3	24	81
L:MA	74	Official Study Plan	1	-	3	24	81

Teaching language

Portuguese

Objectives

Usage of Computer Algebra Software (Maxima) to treat problems on real analysis, linear algebra and analytic geometry, and some elementary mathematics topics. Particular attention is given to the consolidation, through the development and analysis of algorithms and geometric interpretation, of the concepts and problems covered in the courses Linear Algebra and Analytic Geometry I (M1010), Real Analysis I (M1011) and Topics in Elementary Mathematics (M1024).

 

Learning outcomes and competences

Upon completing this curricular unit, the student should be able to use Maxima to deal with problems stemming from real analysis to linear algebra and analytic geometry: solving them, graphing and interpreting their solutions.

 

Working method

Presencial

Pre-requirements (prior knowledge) and co-requirements (common knowledge)

Co-Requirements. Syllabus of the curricular units: Linear Algebra and Analytic Geometry I (M1010), Real Analysis I (M1011) and Topics in Elementary Mathematics (M1024).

Program

Introduction to Maxima:graphic interface; variables; functions; programming structure; graphics sketch.
Graphic representation and interpretation of solutions of equations and inequalities in R and R^2.
Properties and geometric interpretation of real functions of a real variable.
Properties and geometric interpretation of limits of sequences.
Systems of linear equations: numerical resolution, graphical representation and interpretation of the solution.


Other topics whose interest is pointed out by the teachers of the remaining curricular units of the same school year.

Mandatory literature

F. J. Moreira;; Apontamentos de apoio ao Maxima, 2015/16
M.J. Costa; Slides de Laboratório de Matemática, M1025
.; Bibliografia recomendada nas ucs M1010, M1011, M1024
Vários autores;; Documentação disponibilizada na página do Maxima (http://maxima.sourceforge.net/documentation.html)

Complementary Bibliography

Zachary Hannan;; wxMaxima for Calculus I ; (free download at https://wxmaximafor.wordpress.com)
Adams Robert A.; Calculus. ISBN: 0-321-27000-2
Zachary Hannan;; wxMaxima for Calculus II ; (free download at https://wxmaximafor.wordpress.com)

Teaching methods and learning activities

The contact hours consist of laboratory classes. They will proceed to the resolution, with discussion by the teacher and the students, of exercises proposed in the exercise sheets or class.
Some supporting material will be made available to the classes, as well as the resolution of some of the proposed exercises.
Support will be provided to students in clarifying doubts both in terms of content and in solving exercises.

Software

Maxima

keywords

Physical sciences > Computer science > Informatics > Applied informatics
Physical sciences > Mathematics

Evaluation Type

Distributed evaluation without final exam

Assessment Components

designation	Weight (%)
Teste	100,00
Total:	100,00

Amount of time allocated to each course unit

designation	Time (hours)
Estudo autónomo	57,00
Frequência das aulas	24,00
Total:	81,00

Eligibility for exams

No requisites.

Calculation formula of final grade

Approval for the course can be obtained

1) by taking a test, evaluating all the material covered in the course, to be taken during the last week of classes.

or

2)by taking a final exam (appeal period).

Please note that there is no resit exam during the regular resit exam period for this course. Students with a final grade of 17.5 or higher (obtained on the test or the regular resit exam) may be required to take a written or oral exam to obtain a grade of 18 or higher. 

Observation
The evaluation moments may include a computer test with a written or oral component.

Special assessment (TE, DA, ...)

The exams required under special conditions will consist of a computer test with a written or oral component which can be preceded by an oral eliminatory exam.

Classification improvement

All students will be able to improve their classification in the exam of the appeal season.