Foundation Course in Mathematics, 6 credits

Matematisk grundkurs, 6 hp

TNIU19

Main field of study

Mathematics Applied Mathematics

Course level

First cycle

Course type

Programme course

Examiner

Peter Holgersson

Director of studies or equivalent

George Baravdish

Education components

Preliminary scheduled hours: 82 h
Recommended self-study hours: 78 h
Possible deviation from course syllabus/programme syllabus
ECV = Elective / Compulsory / Voluntary
Course offered for Semester Period Timetable module Language Campus ECV
6IBYG Civil Engineering, B Sc in Engineering 1 (Autumn 2017) 0, 1 -, - Swedish Norrköping, Norrköping C

Main field of study

Mathematics, Applied Mathematics

Course level

First cycle

Advancement level

G1X

Course offered for

  • Civil Engineering, B Sc in Engineering

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

Upper secondary Mathematics courses A to D, or equivalent

Intended learning outcomes

The course aims to give students a positive start to their engineering university studies, they will experience a "social class" and also rehearse and develop their mathematical ability for future studies in Calculus I, Calculus II and applications in other courses. Some new mathematical concepts are introduced. An important goal is to develop learning by using different types of work and various forms of examination. This will contribute to improving students

  • skills in writing, reading and speaking mathematical language, being able to present solutions of mathematical problems with clear thinking - both written with mathematical symbols, and in oral
  • capacity for logical reasoning
  • conceptualization and experience to perform the solution controls
  • ability to reflect on their learning and giving familiarity with working in a group and where one should see the group as a resource where good cooperation encouraged
After the course the students will be
  • able to demonstrate a basic ability to both write, read and speak the mathematical language
  • able to show good algebraic numerate with real and complex numbers
  • able to use the basic concepts of function theory, as defined quantity, value, quantity and inverse function
  • elementary functions properties and use this in problem solving
  • able to set up and solve equations and inequalities containing absolute values ​​
  • able to perform calculations using trigonometric functions

    Course content

    • Real numbers
    • Factors, polynomial
    • Equations and inequalities, containing rational expressions and absolute values ​​
    • Higher degree polynomial equations with real coefficients
    • Functions and graphs
    • Straight lines , quadratic functions, exponential and power functions and associated inverses
    • Trigonometry and trigonometric functions
    • Complex numbers and complex plane
    • Euler's formula and the formula Moivres
    • Polynomials of a complex variable and complex polynomial equations
    The emphasis of the course is handling of algebraic expressions and properties of elementary functions. Solution of data must contain a clear logical way.

    Teaching and working methods

    The course consists of lectures, seminars and mentoring of teachers. Also mathematics mentors from higher grades are available for support. Sometimes class is divided into groups of about 4 students - in order to develop the oral mathematical language. Much of the work done in groupings.
    course is taken during the period HT0 and HT1.

    Examination

    TEN2Written examination6 creditsU, 3, 4, 5
    KTR6Written Test0 creditsU, G
    KTR5Written Test0 creditsU, G
    KTR4Written Test0 creditsU, G
    The three approved KTR1-3 give the final grade 3. Written examination is required for higher grades.

    Grades

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

    Department

    Institutionen för teknik och naturvetenskap

    Director of Studies or equivalent

    George Baravdish

    Examiner

    Peter Holgersson

    Course website and other links

    Education components

    Preliminary scheduled hours: 82 h
    Recommended self-study hours: 78 h

    Course literature

    Additional literature

    Books

    • Forsling-Neymark, Matematisk analys, en variabel
      ISBN: 9147051884

    Compendia

    • Göran Forsling, Övningar i analys i en variabel
Code Name Scope Grading scale
TEN2 Written examination 6 credits U, 3, 4, 5
KTR6 Written Test 0 credits U, G
KTR5 Written Test 0 credits U, G
KTR4 Written Test 0 credits U, G
The three approved KTR1-3 give the final grade 3. Written examination is required for higher grades.

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. 

Student rights and obligations (login required)
Linköping University common rules and regulations (in Swedish)

Additional literature

Books

Forsling-Neymark, Matematisk analys, en variabel

ISBN: 9147051884

Compendia

Göran Forsling, Övningar i analys i en variabel

Download

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)
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                            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
                            
                                
 

                            		
                            
                                
 

                            		
                            
                                
 

                            		
                            
                            
                            
                                

                            		
                        

                        

                            
                            2.2 Experimentation, investigation, and knowledge discovery
                            
                                
 

                            		
                            
                                
 

                            		
                            
                                
 

                            		
                            
                            
                            
                                

                            		
                        

                        

                            
                            2.3 System thinking
                            
                                
 

                            		
                            
                                
 

                            		
                            
                                
 

                            		
                            
                            
                            
                                

                            		
                        

                        

                            
                            2.4 Attitudes, thought, and learning
                            
                                
 

                            		
                            
                                
 

                            		
                            
                                
 

                            		
                            
                            
                            
                                

                            		
                        

                        

                            
                            2.5 Ethics, equity, and other responsibilities
                            
                                
 

                            		
                            
                                
 

                            		
                            
                                
 

                            		
                            
                            
                            
                                

                            		
                        

                    
                    
                        

                            
                                3. INTERPERSONAL SKILLS: TEAMWORK AND COMMUNICATION
                            
                        

                    
                    
                        

                            
                            3.1 Teamwork
                            
                                
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                            3.2 Communications
                            
                                
 

                            		
                            
                                
 

                            		
                            
                                
 

                            		
                            
                            
                            
                                

                            		
                        

                        

                            
                            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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