VAMK

Change language: Suomi

Front Page > Current Education > Mechanical and Production Engineering (KT) > 2016 > Year 2 > Differential Calculus (IKTP0111)

Differential Calculus

Structure Type: Study unit
Code: IKTP0111
Type: Compulsory / Basic Studies
Curriculum: KT 2016
Level: Bachelor of Engineering
Year of Study: 2 (2017-2018)
Credits: 2 cr
Responsible Teacher: Pyhälahti, Onni
Language of Instruction: Finnish

Courses During the Academic Year 2017-2018

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

Still need to take the course? See the courses during the academic year 2019-2020.

Learning Outcomes

After the study unit the student knows the following concepts and can apply them in electrical engineering: limit of a function, continuity, derivatives of 1st or higher order, indefinite integral. 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 and can solve an equation numerically using Newton's method.

Student's Workload

The total amount of student's work is 54 h, which contains 28 h of contact studies.
The assessment of student’s own learning 1 h is included in contact lessons.

Prerequisites / Recommended Optional Courses

Analytic Geometry and Linear Algebra

Contents

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

Recommended or Required Reading and Other Learning Resources/Tools

Majaniemi: "Matematiikka I ja II", Tietokotka Oy; 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 independently, at home, the problems given by the lecturer. Solutions to the problems are given during the lectures.

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, homework exercises and tutored exercise sessions. The student is required to actively take part in exercise sessions, in the same way as in Physics laboratory exercises. All the given computer-related exercises must be handed in by the end of the course.


Back