Mathematics, 12 credits

Matematik, 12 hp

TNSL01

Main field of study

No Main Field of Study

Course level

First cycle

Course type

Programme course

Examiner

Vivianne Deniz

Director of studies or equivalent

George Baravdish

Education components

Preliminary scheduled hours: 140 h
Recommended self-study hours: 180 h
ECV = Elective / Compulsory / Voluntary
Course offered for Semester Period Timetable module Language Campus ECV
6KFTL Air Transportation and Logistics, Bachelor's Programme 1 (Autumn 2017) 0, 1, 2 -, -, - Swedish Norrköping C
6KLOG Civic Logistics, Bachelor's Programme 1 (Autumn 2017) 0, 1, 2 -, -, - Swedish Norrköping C

Main field of study

No Main Field of Study

Course level

First cycle

Advancement level

G1X

Course offered for

  • Air Transportation and Logistics, Bachelor's Programme
  • Civic Logistics, Bachelor's Programme

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

See ruels for admission to the Civic Logistics at Linköpings university.

Intended learning outcomes

The cours aim is to give elementary education in mathematic, where the goal is to give you as a student a stabile ground for university education. You should as a student be familiar with mathematical concepts, conversation and connection in the course, as a platform for other courses on the program. After completion of the course, the student should be able to read and interpret mathematical text and,

  • handel simple algebraic expression with real and complex numbers.
  • set up and solve equations, linear systems of equations and inequalities.
  • studies the elementary functions with derivates, limits to draw conclusions regarding the properties of the functions.
  • explain and use calculus rules / definition for power, logarithm, limits, derivative, antiderivative, integrals and complex number.
  • use unit circle to defined trigonometric identities, solve trigonometric equation and graphing trigonometric functions.
  • use standard techniques to calculate antiderivatives and definite integrals.
  • handle differential equations of first and second order.
  • use Taylorexpansions to approximate functions.

Course content

Algebraic expressions, calculation rules for real and complex numbers. Definitions and properties of the elementary functions. Geometry and trigonometry. Limits and derivatives. Antiderivatives and integrals. Complex numbers and absolute value. Differential equations of first and second order. Taylors and Maclaurins formal.

Teaching and working methods

Teaching is done in lectures, problem classes and seminars. The examination consists of two written test and hand-in assignments.
The course runs over the entire autumn semester.

Examination

TEN1Written examination, part 15 creditsU, 3, 4, 5
TEN2Written examination, part 25 creditsU, 3, 4, 5
UPG1Oral and written examination part 11 creditsU, G
UPG2Oral and written examination part 21 creditsU, G

Grades

Four-grade scale, LiU, U, 3, 4, 5

Department

Institutionen för teknik och naturvetenskap

Director of Studies or equivalent

George Baravdish

Examiner

Vivianne Deniz

Education components

Preliminary scheduled hours: 140 h
Recommended self-study hours: 180 h

Course literature

Additional literature

Books

  • ITN Norrköping, Övningsuppgifter del 1
  • ITN Norrköping, Övningsuppgifter del 2
  • Månsson, Jonas, Nordbeck, Patrik, (2011) Endimensionell analys
    ISBN: 9789144056104
    Lund : Studentlitteratur, 2011
Code Name Scope Grading scale
TEN1 Written examination, part 1 5 credits U, 3, 4, 5
TEN2 Written examination, part 2 5 credits U, 3, 4, 5
UPG1 Oral and written examination part 1 1 credits U, G
UPG2 Oral and written examination part 2 1 credits U, G

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. 

Additional literature

Books

ITN Norrköping, Övningsuppgifter del 1
ITN Norrköping, Övningsuppgifter del 2
Månsson, Jonas, Nordbeck, Patrik, (2011) Endimensionell analys

ISBN: 9789144056104

Lund : Studentlitteratur, 2011

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
TEN1
TEN2
UPG1
UPG2

                            
1.2 Fundamental engineering knowledge (G1X level)

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

                            
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
TEN1
TEN2
UPG1
UPG2

                            
2.2 Experimentation, investigation, and knowledge discovery

                            
2.3 System thinking

                            
2.4 Attitudes, thought, and learning
X

                            
2.5 Ethics, equity, and other responsibilities

                            
3. INTERPERSONAL SKILLS: TEAMWORK AND COMMUNICATION
3.1 Teamwork
X
UPG1
UPG2

                            
3.2 Communications
X
TEN1
TEN2
UPG1
UPG2

                            
3.3 Communication in foreign languages

                            
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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