Applied Mathematics in Science and Technology, 6 credits

Tillämpad matematik i teknik och naturvetenskap, 6 hp

TNA005

Main field of study

Mathematics Applied Mathematics

Course level

First cycle

Course type

Programme course

Examiner

Berkant Savas

Director of studies or equivalent

George Baravdish

Education components

Preliminary scheduled hours: 37 h
Recommended self-study hours: 123 h
ECV = Elective / Compulsory / Voluntary
Course offered for Semester Period Timetable module Language Campus ECV
6CKTS Communications, Transport and Infrastructure, M Sc in Engineering 2 (Spring 2017) 1, 2 4, 4 Swedish Norrköping C
6CIEN Electronics Design Engineering, M Sc in Engineering 2 (Spring 2017) 1, 2 4, 4 Swedish Norrköping C
6CMEN Media Technology and Engineering, M Sc in Engineering 2 (Spring 2017) 1, 2 4, 4 Swedish Norrköping C

Main field of study

Mathematics, Applied Mathematics

Course level

First cycle

Advancement level

G1X

Course offered for

  • Electronics Design Engineering, M Sc in Engineering
  • Communications, Transport and Infrastructure, M Sc in Engineering
  • Media Technology and Engineering, M Sc in Engineering

Specific information

The course include a part of the syllabus block "oral and written communication in english"

Entry requirements

Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshold requirements for progression within the programme, or corresponding.

Prerequisites

Foundation course in mathematics, Linear algebra, Programming. Calculus in one variable can be studied in parallel with this course, or is otherwise prerequisite.

Intended learning outcomes

The course is intended to bridge between basic mathematic courses and courses within science and technology. Students will aim to improve their ability in using mathematical results and computational software, as MATLAB, to study, analyse, and to some degree, solve realistic problems from applications. After the course, the student should be able to:

  • write and use mathematical models for some problems in information technology and physics applications;
  • reflect over the benefits and restrictions of a mathematical model;
  • use MATLAB as a natural tool for solving computational problems, including: work with matrices and systems of linear equations, formulating and solving least squares problems, solving ordinary differential equations, performing numerical integration;
  • choose a suitable method to study mathematical problems arising in different contexts of science and technology;
  • structure and present mathematical ideas in both written and oral form;
  • write a short technical report in both Swedish and English;
  • give relevant and constructive feedback on technical reports, both in written and in oral form.

Course content

Introduction to Matlab and basic programming. Mathematical modelling. Numerical computations: linear algebra, transformations, systems of equations, least squares problems, matrix computations, matrix factorisations, quadrature and ordinary differential equations. Treatment of problems in computer graphics, information technology, and physics applications. Writing of technical reports in Swedish and English; opposition and oral presentations. Review of English grammar and sentence composition.

Teaching and working methods

The teaching consists of lectures, computer exercises, student presentations with feedback, and guidance occasions. A number of mini projects constitute the core of the course. They shall be conducted using MATLAB, and be presented both in writing and orally. These projects are carried out in groups of two to three students, except the last one which is conducted individually. To the group projects, there are also written and oral oppositions.
The course runs over the entire spring semester.

Examination

UPG9Individual computer examination1 creditsU, G
UPG5Mini group project. Oral and written presentation1 creditsU, G
UPG7Mini group project; Oral and written presentation and opposition1 creditsU, G
UPG6Individual mini project. Oral and written presentation2 creditsU, G
UPG8Written report (in English)1 creditsU, G
Additional occasion for examination is only given in august.
Only the grades Pass/Fail are given on the course.

Grades

Two-grade scale, U, G

Other information

Supplementary courses: All courses with a mathematical content. 

Department

Institutionen för teknik och naturvetenskap

Director of Studies or equivalent

George Baravdish

Examiner

Berkant Savas

Course website and other links

http://www2.itn.liu.se/utbildning/kurs/

Education components

Preliminary scheduled hours: 37 h
Recommended self-study hours: 123 h

Course literature

Jönsson, Per, ”MATLAB-beräkningar inom teknik och naturvetenskap, tredje utgåvan”, Studentlitteratur, Lund, 2010. Forsling, Göran och Neymark, Mats, ”Matematisk Analys en variabel”, Liber, Stockholm, godtycklig utgåva. Baravdish, George, ”Linjär algebra TNA002” (kompendium utgivet av institutionen, godtycklig utgåva). Kompletterande materiel tillgängligt från kurshemsidan.
Code Name Scope Grading scale
UPG9 Individual computer examination 1 credits U, G
UPG5 Mini group project. Oral and written presentation 1 credits U, G
UPG7 Mini group project; Oral and written presentation and opposition 1 credits U, G
UPG6 Individual mini project. Oral and written presentation 2 credits U, G
UPG8 Written report (in English) 1 credits U, G
Additional occasion for examination is only given in august.
Only the grades Pass/Fail are given on the course.

Regulations (apply to LiU in its entirety)

The university is a government agency whose operations are regulated by legislation and ordinances, which include the Higher Education Act and the Higher Education Ordinance. In addition to legislation and ordinances, operations are subject to several policy documents. The Linköping University rule book collects currently valid decisions of a regulatory nature taken by the university board, the vice-chancellor and faculty/department boards.

LiU’s rule book for education at first-cycle and second-cycle levels is available at http://styrdokument.liu.se/Regelsamling/Innehall/Utbildning_pa_grund-_och_avancerad_niva. 

Jönsson, Per, ”MATLAB-beräkningar inom teknik och naturvetenskap, tredje utgåvan”, Studentlitteratur, Lund, 2010. Forsling, Göran och Neymark, Mats, ”Matematisk Analys en variabel”, Liber, Stockholm, godtycklig utgåva. Baravdish, George, ”Linjär algebra TNA002” (kompendium utgivet av institutionen, godtycklig utgåva). Kompletterande materiel tillgängligt från kurshemsidan. </ul>

Note: The course matrix might contain more information in Swedish.

I = Introduce, U = Teach, A = Utilize
I U A Modules Comment
1. DISCIPLINARY KNOWLEDGE AND REASONING
1.1 Knowledge of underlying mathematics and science (G1X level)
X
X
X

                            
1.2 Fundamental engineering knowledge (G1X level)
X
X
X

                            
1.3 Further knowledge, methods, and tools in one or several subjects in engineering or natural science (G2X level)
X
X

                            
1.4 Advanced knowledge, methods, and tools in one or several subjects in engineering or natural sciences (A1X level)

                            
1.5 Insight into current research and development work

                            
2. PERSONAL AND PROFESSIONAL SKILLS AND ATTRIBUTES
2.1 Analytical reasoning and problem solving
X
X
X

                            
2.2 Experimentation, investigation, and knowledge discovery
X
X

                            
2.3 System thinking
X
X

                            
2.4 Attitudes, thought, and learning
X
X
X

                            
2.5 Ethics, equity, and other responsibilities

                            
3. INTERPERSONAL SKILLS: TEAMWORK AND COMMUNICATION
3.1 Teamwork
X

                            
3.2 Communications
X
X
X

                            
3.3 Communication in foreign languages
X
X
X

                            
4. CONCEIVING, DESIGNING, IMPLEMENTING AND OPERATING SYSTEMS IN THE ENTERPRISE, SOCIETAL AND ENVIRONMENTAL CONTEXT
4.1 External, societal, and environmental context

                            
4.2 Enterprise and business context

                            
4.3 Conceiving, system engineering and management

                            
4.4 Designing

                            
4.5 Implementing

                            
4.6 Operating

                            
5. PLANNING, EXECUTION AND PRESENTATION OF RESEARCH DEVELOPMENT PROJECTS WITH RESPECT TO SCIENTIFIC AND SOCIETAL NEEDS AND REQUIREMENTS
5.1 Societal conditions, including economic, social, and ecological aspects of sustainable development for knowledge development

                            
5.2 Economic conditions for knowledge development

                            
5.3 Identification of needs, structuring and planning of research or development projects

                            
5.4 Execution of research or development projects

                            
5.5 Presentation and evaluation of research or development projects

                            

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