• Math1 Equations (TZLM1300-3070),
         02.01.2023 – 14.05.2023,  3 cr  (TSA23KM, ...) — Face-to-face, Online learning +-
    Learning outcomes of the course
    Course purpose

    During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.

    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.

    Learning outcomes

    After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
    Prerequisites and co-requisites
    You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
    Course contents
    Most important contents are:

    - Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
    - Drawing and interpreting graphs of functions
    - Linear equations and lines
    - Quadratic equations and parabolas
    - Equations involving roots
    - Systems of equations
    - Percentages and proportions
    - Trigonometry of right triangles
    - Basics of solid geometry
    - Degree-program-related content
    Assessment criteria
    Assessment criteria - grade 1 and 2
    Grade 1

    You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.

    Grade 2

    You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
    Assessment criteria - grade 3 and 4
    Grade 3

    You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.

    Grade 4

    You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
    Assessment criteria - grade 5
    Grade 5

    You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
    Further information
    The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
    Language of instruction

    Finnish

    Location and time

    The course is implemented 9.1.2022 - 14.5.2022.

    Planned learning activities, teaching methods and guidance

    Face-to-face learning, e-learning, independent work.

    Lecturer(s)

    Antti Kosonen

    Learning materials and recommended literature

    Written material and videos by teacher.

    Literature:
    Alestalo, S., Lehtola, P., Nieminen, T. & Rantakaulio, A. 2011. Tekninen matematiikka 1. 1. uusittu painos. Tampere: Tammertekniikka.
    Henttonen, J., Peltomäki, J. & Uusitalo, S. 2003. Tekniikan matematiikka: 1. Helsinki: Edita.

    Lecturer(s)

    Antti Kosonen

    Campus

    Main Campus

    Exam dates and re-exam possibilities

    Exam to pass the course: During week 18.
    Exam to determine grade: During week 18 (3.5.2023) at 17.00 online.
    First resit: 29.5.2023 at 8.00 at campus.
    Second resit: 16.8.2023

    Timing

    02.01.2023 - 14.05.2023

    Learning assignments and student workload

    3op * 27h/op = 81op

    Face-to-face lessons 10 h
    Exams 4h
    E-lessons approximately 10h
    Independent work approximately 57 h

    Enrollment

    01.11.2022 - 05.01.2023

    Content scheduling

    Topics will be discussed in the following order:

    Basics: Calculations, fractions
    Algebra: Power rules, algebra with polynomials
    Introduction to functions: The concept of a function, 1st degree polynomial functions
    First degree equations: The basic idea of solving equations algebraically
    Second degree polynomial functions and equations: Parabolas, solving second degree polynomial equations
    Systems of equations: Methods for solving systems of equations, applications
    Geometry: Angle measurement, trigonometry of right triangles, some fundamentals of planar and 3D geometry

    Groups
    • TSA23KM
    • ZJATSA23KM
    Alternative learning methods

    In spring 2023 the course is available as face-to-face and e-learning implementations.

    Seats

    0 - 40

    Assessment methods

    Exam in two parts:
    - Exam to pass
    - Exam for grade

    Degree Programme

    Bachelor's Degree Programme in Electrical and Automation Engineering

    Mode of delivery

    Face-to-face, Online learning

    Share of virtual studies

    2 cr

    Credits
    • 3 cr
    Unit

    School of Technology