Foundation Course in Mathematics, 6 credits

Matematisk grundkurs, 6 hp

TNA001

Main field of study

Mathematics Applied Mathematics

Course level

First cycle

Course type

Programme course

Examiner

Claes Algström

Director of studies or equivalent

George Baravdish

Education components

Preliminary scheduled hours: 89 h
Recommended self-study hours: 71 h
ECV = Elective / Compulsory / Voluntary
Course offered for Semester Period Timetable module Language Campus ECV
6CKTS Communications, Transport and Infrastructure, Master of Science in Engineering 1 (Autumn 2019) 0, 1 -, - Swedish Norrköping C
6CIEN Electronics Design Engineering, Master of Science in Engineering 1 (Autumn 2019) 0, 1 -, - Swedish Norrköping C
6CMEN Media Technology and Engineering, Master of Science in Engineering 1 (Autumn 2019) 0, 1 -, - Swedish Norrköping C

Main field of study

Mathematics, Applied Mathematics

Course level

First cycle

Advancement level

G1X

Course offered for

  • Master of Science in Electronics Design Engineering
  • Master of Science in Communications, Transport and Infrastructure
  • Master of Science in Media Technology and Engineering

Intended learning outcomes

The course shall give the student a positive start of the university studies, both in getting good relations with other students and in refreshing former mathematics. Further more some new mathematical concepts will be introduced. An important aim is to systematically give opportunities to improve some important skills by using various teaching procedures and several examination forms. This is aimed to improve the ability in reflecting about how the student herself /himself learns and in developing how to work with other students in a group, which shall be seen as a resource where good cooperation will be encouraged. After a completed course, the student should be able to:

  • read and interpret mathematical text
  • use calculation rules for real and complex numbers
  • use basic properties for real functions such as domain and range, composite functions, inverses
  • quote and use properties of elementary functions
  • solve equations and inequalities
  • quote and use properties for arithmetic and geometric sequences and sums and the binomial theorem
  • explain and use the principle for mathematical induction
  • use basic definitions and ideas in vector geometry and use equations for lines and planes, solve linear systems of equations
  • quote some central definitions, theorems and carry out some proofs.

Course content

Algebraic expessions, inequalities, modulus, complex numbers. Solving equations. Functions and graphs. Definitions and properties of the elementary functions: natural logarithm, exponential function, power function, trigonometric functions, inverse trigonometric funktions and complex exponential function. The Euler formulas. Basic principles of logic. Different types of proof techniques. Vectors and coordinate systems in the plane. Polar coordinates. Lines and circles. The complex plane. Complex numbers in polar form.

Teaching and working methods

Problem classes, tutorials, and a few lectures.

Examination

KTR1Optional examinations0 creditsD
UPG1Assignments and oral presentations1.5 creditsU, G
TEN1Written examination4.5 creditsU, 3, 4, 5

Grades

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

Department

Institutionen för teknik och naturvetenskap

Director of Studies or equivalent

George Baravdish

Examiner

Claes Algström

Course website and other links

http://lisam.liu.se

Education components

Preliminary scheduled hours: 89 h
Recommended self-study hours: 71 h

Course literature

Books

  • Forsling-Neymark, Matematisk analys, en variabel 2
    Chapter 1-2

Compendia


  • Material published by the Department of Mathematics.
Code Name Scope Grading scale
KTR1 Optional examinations 0 credits D
UPG1 Assignments and oral presentations 1.5 credits U, G
TEN1 Written examination 4.5 credits U, 3, 4, 5

Books

Forsling-Neymark, Matematisk analys, en variabel 2

Chapter 1-2

Compendia

Material published by the Department of Mathematics.

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
TEN1

                            
1.2 Fundamental engineering knowledge (G1X level)
X

                            
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
UPG1

                            
2.2 Experimentation, investigation, and knowledge discovery
X

                            
2.3 System thinking

                            
2.4 Attitudes, thought, and learning
X
X
TEN1

                            
2.5 Ethics, equity, and other responsibilities

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

                            
3.2 Communications
X
X
X
UPG1

                            
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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