•   Calculus 5051212-3034 29.08.2022-16.12.2022  5 credits  (PIOTK22) +-
    Competence objectives of study unit
    After completing the course the student can
    - use derivatives to analyze functions
    - use differentials to approximate changes and errors
    - use integrals to calculate e.g. areas and mean values and square mean values of functions
    - use relevant mathematical denotation correctly
    Prerequisites
    Precalculus course or skills
    Content of study unit
    - Limits

    - The derivative

    - Differentials

    - Antiderivatives and the definite integral

    - Applications of differentiation and integration

    - On differential equations
    Teacher(s) in charge

    Hazem Al-Bermanei

    Learning material

    1. Calculus (3rd edition), Fred Safier, SCHAUM’S outlines.
    2. Engineering Mathematics (6th edition), K.A. Stroud [MACMILLAN PRESS LTD]
    3. 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

    29.08.2022 - 16.12.2022

    Enrollment date range

    01.06.2022 - 09.09.2022

    Group(s)
    • PIOTK22
    Seats

    15 - 35

    Responsible unit

    Engineering and Business

    Teachers and responsibilities

    After completing the course the student can

    - use derivatives to analyze functions.
    - use differentials to approximate changes and errors.
    - use integrals to calculate e.g. areas, volumes and mean values and square mean values of functions.
    - solve 1st order separable and linear differential equations.
    - use relevant mathematical denotation correctly.

    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

    Kupittaa Campus

    Assessment scale

    H-5

    Pedagogic approaches

    The contents of the course give understanding to use the derivatives to analyze functions, use differentials to approximate changes and errors, solve separable and linear first order differential equations, use integrals to calculate e.g. areas and mean values and square mean values of functions
    and use relevant mathematical denotation correctly, moreover the students can use relevant mathematical denotation correctly.
    The students will team up for a project work and writing reports on some current and relevant aspect of 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

    • Limits
    • The derivative
    • Differentials
    • Antiderivatives and the definite integral
    • Applications of differentiation and integration
    • On differential equations

    Assessment criteria
    Failed (0)

    Fail in the final exam and not doing the assignments.

    Assessment criteria – satisfactory (1-2)

    Collect (50--60) points in the exam and doing 50% of the assignments.

    Assessment criteria – good (3-4)

    Collect (70--80) points in the exam and doing at least 75% of the assignments

    Assessment criteria – excellent (5)

    Collect (90--100) points in the exam and doing at least 90% of the assignments