Mathematics 3C for Foundation Year, 10 fup

Matematik 3C för basår, 10 fup

BML301

Main field of study

No main field of study

Course level

Academic preparatory

Course type

Academic preparatory

Examiner

Micaela Bergfors

Director of studies or equivalent

Jesper Thorén

Education components

Preliminary scheduled hours: 80 h
Recommended self-study hours: 187 h
ECV = Elective / Compulsory / Voluntary
Course offered for Semester Period Timetable module Language Campus ECV
6ZBAS Foundation Year in Science and Technology, Linköping (Linköping) 1 (Autumn 2020) 1 2+4 Swedish Linköping, Valla C

Main field of study

No main field of study

Course level

Academic preparatory

Course offered for

  • Foundation Year in Science and Technology

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 admission requirements för the Foundation Year at Linköpings universitet.

Intended learning outcomes

The aim of the course is to provide a basic training in mathematics and prepare students for university studies in mathematics. Completion of this course qualifies the corresponding Mathematics 3C.
After the course students should be able to

  • perform algebraic computations with real numbers
  • solve equations, inequalities and systems of equations
  • comprehend the concept of functions and conduct functional studies
  • understand and apply the concept of derivative
  • determine primitive functions and perform simple integral calculations with applications
  • apply trigonometric relationships with the unit circle and use the theorems of triangle for an arbitrary triangle

    Course content

    Number systems, coordinate systems in the plane, algebraic expressions and operations, equations, systems of linear equations and inequalities, root equations, equations of straight lines, parabolas and circles, polynomial, polynomial equations and factor theorem, plane and solid geometry, the concept of functions, polynomial, power and exponential functions, exponentiation and logarithms, limits, rate of change and the derivative, differentiation of polynomial, power and exponential functions with applications, tangent and normal equations, analysis of the fundamental functions, determining the extreme values and sketching graph of a function, the unit circle, trigonometric concepts and angles in right triangles, theorems of triangle, primitive functions and integrals with applications.

    Teaching and working methods

    The course is given in the form of lectures and tutorials. Concepts and theories of mathematics are presented in the lectures. Students actively work under teacher's guidance in the tutorials.
    The examination consists of a written examination (written examination) at the end and continuous assessment (assignments and written test) throughout the course.

    Examination

    UPG1Assignments2 fupU, G
    KTR1Written test0 fupU, G
    TEN1Written examination8 fupU, 3, 4, 5

    Attempts to deceive by the use of prohibited aids or other methods during examinations or other forms of assessments of study performance may lead to a failed result on the examination/assessment in question.

    Grades

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

    Other information

    Supplementary courses: Mathematics 4 for Foundation Year.

    About teaching and examination language

    The teaching language is presented in the Overview tab for each course. The examination language relates to the teaching language as follows: 

    • If teaching language is Swedish, the course as a whole or in large parts, is taught in Swedish. Please note that although teaching language is Swedish, parts of the course could be given in English. Examination language is Swedish. 
    • If teaching language is Swedish/English, the course as a whole will be taught in English if students without prior knowledge of the Swedish language participate. Examination language is Swedish or English (depending on teaching language). 
    • If teaching language is English, the course as a whole is taught in English. Examination language is English. 

    Other

    The course is conducted in a manner where both men's and women's experience and knowledge are made visible and developed. 

    The planning and implementation of a course should correspond to the course syllabus. The course evaluation should therefore be conducted with the course syllabus as a starting point.  

    Department

    Matematiska institutionen

    Director of Studies or equivalent

    Jesper Thorén

    Examiner

    Micaela Bergfors

    Course website and other links

    http://www.mai.liu.se/und/kurser/index-amne-tm.html

    Education components

    Preliminary scheduled hours: 80 h
    Recommended self-study hours: 187 h

    Course literature

    Alfredsson m.fl., Matematik 5000 kurs 3c Basåret lärobok, Natur och Kultur, Stockholm. Kompletterande material.
  • Code Name Scope Grading scale
    UPG1 Assignments 2 fup U, G
    KTR1 Written test 0 fup U, G
    TEN1 Written examination 8 fup U, 3, 4, 5

    Attempts to deceive by the use of prohibited aids or other methods during examinations or other forms of assessments of study performance may lead to a failed result on the examination/assessment in question.

    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. 

    Alfredsson m.fl., Matematik 5000 kurs 3c Basåret lärobok, Natur och Kultur, Stockholm. Kompletterande material.

    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)
    
                                
    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
    
                                
    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
    
                                

    This tab contains public material from the course room in Lisam. The information published here is not legally binding, such material can be found under the other tabs on this page. Click on a file to download and open it.

    Name File name Description
    Repetitionsuppgifter Repetitionsuppgifter.pdf