• Math3 Derivative and Integral (TZLM3300-3049),
         06.03.2023 – 28.04.2023,  3 cr — Online learning +-
    Learning outcomes of the course
    The object of the course
    During this course you will learn the concepts needed to study continuous change and dynamic phenomena. With differential calculus you can study instantaneous rates of change and the slopes of curves. With integral calculus you can study accumulation of quantities and areas bounded by curves. During this course you learn how to use these concepts in applications.

    Course competences

    EUR-ACE: Knowledge and understanding 
    You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.

    The learning objectives of the course
    After completing this course you know the meaning of derivative and integral as tools for modeling dynamic phenomena. You know how to differentiate and integrate. You know how to use the derivative and integral in applications.
    Prerequisites and co-requisites
    You know the concept of a limit value. You can work with polynomial, exponential, logarithmic and trigonometric functions.
    Course contents
    The derivative and its different interpretations. Rules of differentiation. Using differentiation in optimization problems and other applications involving the derivative such as estimation of error. The definite integral. Rules of integration. The applications of the integral. Using technology in calculations.
    Assessment criteria
    Assessment criteria - grade 1 and 2
    Sufficient 1
    You know the concept of the derivative as the rate of change and as the slope of the tangent. Yo understand how to apply the derivative in optimization problems. You can differentiate and integrate polynomials without technology. You know the concept of the integral as accumulation of quantities and as area under a curve. You know the relation between integral and derivative.

    Satisfactory 2
    You have achieved the desired goals (look at the criteria of grade 1). You know many of the concepts and methods and how to apply them in familiar situations but your reasoning is sometimes deficient or you make mistakes in calculations.
    Assessment criteria - grade 3 and 4
    Good 3
    You have achieved the desired goals(look at the criteria of grade 1). You know most of the concepts and methods and how to apply them in familiar situations showing often the ability to reason completely and calculate flawlessly

    Very good 4
    You have achieved the desired goals (look at the criteria of grade 1). You know most of the concepts and methods and how to apply them in new situations showing in most cases the ability to reason completely and calculate flawlessly.
    Assessment criteria - grade 5
    You have achieved the desired goals (look at the criteria of grade 1). You know all the concepts and methods and how to apply them in new situations showing always the ability to combine things, reason completely and calculate flawlessly.
    Language of instruction

    Finnish

    Location and time

    The course is implemented between 6.3.2023 and 21.4.2023.

    Planned learning activities, teaching methods and guidance

    Lectures, guided exercises, independent work

    Learning materials and recommended literature

    Course material consists of written material and video material available in the e-learning environment.

    Recommended literature:
    - Lehtola, Rantakaulio - Tekninen matematiikka 2 (in Finnish)

    Lecturer(s)

    Ville Arvio

    Exam dates and re-exam possibilities

    The course timetable is agreed on at the beginning of the course and then published in the e-learning environment.

    Timing

    06.03.2023 - 28.04.2023

    Learning assignments and student workload

    The estimated workload is 81 hours, which is divided approximately fifty - fifty between contact teaching and independent work.

    Alternative learning methods

    Online course in Summer 2023

    Seats

    0 - 70

    Assessment methods

    The course includes home assignments, intermediate tests, a pass examination and a grade examination. It is possible to pass the course with grade 1 by taking the pass examination (80% correct) based on fundamentals studied in the course. A higher grade requires participation in the grade examination. To be able to participate in the pass examination and grade examination, the compulsory parts (home assignments and intermediate tests) must be completed acceptably.

    Degree Programme

    Bachelor's Degree Programme in Information and Communications Technology

    Mode of delivery

    Online learning

    Share of virtual studies

    3 cr

    Credits
    • 3 cr
    Unit

    School of Technology