•   Topics in Applied Mathematics 5051213-3009 10.01.2022-30.04.2022  5 credits  (PIOTK21) +-
    Competence objectives of study unit
    After completing the course the student can
    - apply logical rules and notation in e.g. conditional expressions and mathematical proofs
    - compute and apply permutations and combinations
    - apply the concepts and properties of divisibility and congruence
    - calculate the sum of a converging infinite geometric series
    - find power series for a function and utilize them in numerical computation
    - determine coefficients for Fourier-series expansions using mathematical computation tools
    Prerequisites
    Previous mathematics courses of ICT engineering curriculum (or equivalent skills):

    Introduction to Engineering Mathematics

    Calculus
    Content of study unit
    - Fundamentals of logic

    - Number theory

    - Combinatorics

    - Power series

    - Fourier series

    - On Fourier transformation
    Teacher(s) in charge

    Hazem Al-Bermanei

    Learning material

    1. Discrete Mathematics and Its Applications, Kenneth H. Rose, Sixth Edition
    2. Theory and Problems of Discrete Mathematics, Seymour Lipschutz, Marc Lars Lipson. Schaum’s Outline Series, Third Edition
    3. Engineering Mathematics (6th edition), K.A. Stroud [MACMILLAN PRESS LTD]
    4. Formula book: Technical formulas

    Learning methods

    Teacher-directed classroom activities, group work and independent work; project work, reports, task-based (homework)

    Objects, timing and methods of assessment

    Homework sets 1-6, 30 %, Total of thirty homework exercises based on reading material and classroom notes diagnostic/formative
    self / teacher evaluation in connection with each homework set return session
    Project work, reports,
    presentations 40 %, Each outcome of the project work is assessed independently (assessment criteria is specified in Optima), peer feedback
    summative teacher feedback at the end of the course
    Final exam, 30 %, A written exam (1,5 hrs) on specified material Summative
    teacher evaluation at the end of the course

    Teaching language

    English

    Timing

    10.01.2022 - 30.04.2022

    Enrollment date range

    01.12.2021 - 19.01.2022

    Group(s)
    • PIOTK21
    Seats

    15 - 35

    Responsible unit

    Engineering and Business

    Teachers and responsibilities

    After completing the course the student can
    • apply logical rules and notation in e.g. conditional expressions and mathematical proofs
    • compute and apply permutations and combinations
    • apply the concepts and properties of divisibility and congruence
    • calculate the sum of a converging infinite geometric series
    • find power series for a function and utilize them in numerical computation
    • determine coefficients for Fourier-series expansions using mathematical computation tools

    Additional information

    All practical information on timetables, project work, grading etc., as well as links to web materials are provided in Optima.

    Degree Programme(s)

    Degree Programme in Information and Communications Technology

    Campus

    Salo IoT Campus

    Assessment scale

    H-5

    Pedagogic approaches

    The contents of the course give understanding of the applied mathematics and help students to apply logical rules and notation in e.g. conditional expressions and mathematical proofs, compute and apply permutations and combinations, apply the concepts and properties of divisibility and congruence, calculate the sum of a converging infinite geometric series, find power series for a function and utilize them in numerical computation
    and determine coefficients for Fourier-series expansions using mathematical computation tools.
    The students will team up for a project work and writing reports on some current and relevant aspect of basic math, which gives everyone an opportunity to understand the topic; all students will develop their mathematical proficiency.
    Task-based assessment supports learning and is continuous throughout the course. Studying in an international group develops students’ ability to intercultural communication and multicultural collaboration.

    Student's schedule and workload

    Classroom activities: Classroom activities participation 50 h
    Homework: Working on homework sets 1-6. 30 h
    Project work Research, presentation material, presentation 20h
    Final exam: Preparing for the final exam 25 h

    Content scheduling

    - Fundamentals of logic
    - Combinatorics
    - Number theory
    - Power series (Taylor series)
    - Fourier series