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Differential Calculus

Structure Type: Study unit
Code: IKTP0111
Type: Compulsory / Basic Studies
Curriculum: ET 2016 / 2017 / 2018 / 2019 / 2020
KT 2016 / 2017 / 2018 / 2019 / 2020
YT 2016 / 2017 / 2018 / 2019 / 2020
Level: Bachelor of Engineering
Year of Study: 2 (2017-2018 / 2018-2019 / 2019-2020 / 2020-2021 / 2021-2022)
Credits: 2 cr
Responsible Teacher: Niemelä, Riitta
Language of Instruction: Finnish

Courses

Impl.Group(s)Study TimeTeacher(s)LanguageEnrolment
1I-EY-2N2017-09-01 – 2017-10-27Sanna RintalaFinnish2017-08-23 – 2017-09-18
2I-KT-2N2017-09-01 – 2017-12-22Sanna RintalaFinnish2017-08-23 – 2017-09-18
3I-ET-2N, I-YT-2N2018-08-31 – 2018-10-26Jussi OjanenFinnish2018-08-20 – 2018-09-17
4I-KT-2N2018-10-22 – 2018-12-21Sanna RintalaFinnish2018-08-20 – 2018-09-17
5I-ET-2N, I-KT-2N, I-YT-2N2019-09-02 – 2019-10-25Jarmo MäkeläFinnish2019-08-19 – 2019-09-09
3001KT2019-2, KT2019-2A, KT2019-2B2020-09-01 – 2020-12-31Kerstin SiegfridsFinnish2020-08-17 – 2020-09-11
3002ET2019-2, ET2019-2A, ET2019-2B, YT2019-2, YT2019-2A, YT2019-2B2020-10-19 – 2020-12-20Kerstin SiegfridsFinnish2020-08-17 – 2020-09-11
3003KT2020-2A, KT2020-2B, KT2020-2C, KT2020-2D2021-08-02 – 2021-10-25Onni PyhälahtiFinnish2021-08-01 – 2021-09-06
3005ET2020-2A, ET2020-2B, ET2020-2C, ET2020-2D2021-08-02 – 2021-10-25Onni PyhälahtiFinnish2021-08-01 – 2021-09-06
3006YT2020-2A, YT2020-2B, YT2020-2C, YT2020-2D2021-08-03 – 2021-10-24Onni PyhälahtiFinnish2021-08-01 – 2021-09-06

The descriptions shown below are for the academic year: 2021-2022

Learning Outcomes

After the study unit the student knows the following concepts and can apply them in own field of study: limit of a function, continuity and derivatives of 1st or higher order. The student can derivate the most common elementary functions, knows the significance of the derivative as a slope of a tangent line and as an expresser of conversion rate of a quantity, knows the differential of a function and its use in error assessment , knows the product and quotient of the derivative and composite function, knows the concept of extremum and can apply it.

Student's Workload

The total amount of student's work is 54 h, which contains 24 h of contact studies.

The assessment of student’s own learning 1 h is included.

Prerequisites / Recommended Optional Courses

Analytic Geometry and Linear Algebra

Contents

Limit and derivative, derivation of basic functions, composite function and study of functions. Partial derivative, total differential, extremums of single-variable functions. Application related to engineering.

Recommended or Required Reading and Other Learning Resources/Tools

P. Lehtola, A. Rantakaulio: Tekninen matematiikka 2, Tammertekniikka.

The material prepared by the teacher.

Mode of Delivery / Planned Learning Activities and Teaching Methods

The basics of learning constitutes of lectures where the theory is explained and examples are given. A mere attending the lectures and listening to the lecturer is not sufficient for proper learning. In practice, an independent pondering of the contents of the course becomes best realized when a student solves problems in groups at rehearsals and independently at home.

Assessment Criteria

Grade 1: The student knows those subjects of the course, which are necessary for the forthcoming studies and working life.

Grade 3: The student is well-abled to utilize the course contents.

Grade 5: The student is able to apply creatively the contents of the course.

Assessment Methods

An examination, exercises in exercise sessions.

The student is required to actively take part in exercise sessions, in the same way as in Physics laboratory exercises. The given self assesment must be handed in by the end of the course.


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