Calculus, one variable, 6 credits (NMAA06)

Analys i en variabel, 6 hp

Main field of study

Mathematics Applied Mathematics

Level

First cycle

Course type

Single subject and programme course

Examiner

Magnus Berggren

Director of studies or equivalent

Jesper Thorén
Course offered for Semester Period Timetable module Language Campus VOF
Single subject course (Full-time, Day-time) Autumn 2017 1, 2 Swedish Linköping
6KKEM Chemistry - Molecular Design, Bachelor's Programme 1 (Autumn 2017) 0, 1 -, 4 Swedish Linköping o

Main field of study

Mathematics, Applied Mathematics

Course level

First cycle

Advancement level

G1X

Course offered for

  • Chemistry - Molecular Design, 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.

Intended learning outcomes

That you as a student will learn to feel confident with the mathematical expressions, reasoning and relations from Single Variable Calculus and that it will teach you calculating and problem solving skills needed for your further studies. After a completed course you should be able to:

  • Read and interpret mathematical texts
  • Explain definitions and expressions like local extremes, limits, continuity, derivatives, primitive functions and integrals
  • Explain and use central theorems like The Fundamental Theorem of Calculus, Mean-Value Theorems, The Intermediate-Value Theorem and The Max-Min Theorem.
  • Use mathematical laws for limits of functions and derivatives.
  • Perform investigations of functions using derivatives, limits and the properties of basic functions and from this draw conclusions regarding the properties of the functions

Course content

  • Preparatory course: Equations and systems of equations. Geometric and arithmetic sums. Inequalities. Binomial theorem. Exponential functions and logarithms. Polynomials. Trigonometry and trigonometric functions.
  • Calculus: Real and complex numbers. Functions of a real variable. Elementary functions. Sequences, limits. Derivatives and continuity. Rules for differentiation. Properties of continuous functions. Study of functions.

  • Teaching and working methods

    Teaching is done in lectures and problem classes.

    Examination

    TEN1Written examinationU, 3, 4, 56 credits
    KTR1Written testU, 3, 4, 50 credits
    KTR2Written testU, 3, 4, 50 credits
    Passed written test 1 and written test 2 gives a bonus on the written examination (TEN1). The right to count the bonuses from the tests is 12 months from the date of writing.

    Grades

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

    Other information

    Supplentary courses: Mathematics, second course.

    Department

    Matematiska institutionen

    Director of Studies or equivalent

    Jesper Thorén

    Examiner

    Magnus Berggren

    Course website and other links

    http://www.mai.liu.se/kurser/

    Education components

    Preliminary scheduled hours: 118 h
    Recommended self-study hours: 42 h

    Course literature

    Forsling, Göran och Neymark Mats: Matematisk analys, en variabel. Liber 2011.
    Forsling, Göran och Neymark Mats: Matematisk analys, en variabel. Liber 2011.
    TEN1 Written examination U, 3, 4, 5 6 credits
    KTR1 Written test U, 3, 4, 5 0 credits
    KTR2 Written test U, 3, 4, 5 0 credits
    Passed written test 1 and written test 2 gives a bonus on the written examination (TEN1). The right to count the bonuses from the tests is 12 months from the date of writing.

    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. 

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