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Integral Calculus

Structure Type: Study unit
Code: IKTP0112
Type: Compulsory / Basic Studies
Curriculum: YT 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-2N2017-10-23 – 2017-12-22Sanna RintalaFinnish2017-08-23 – 2017-09-18
2I-KT-2N2018-01-08 – 2018-04-27Sanna RintalaFinnish2017-12-11 – 2018-01-15

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

Learning Outcomes

The student understands the concept of the integral and is able to apply it for the calculation of areas, volumes, lengths of arcs. In addition, the student is able to solve simple differential equations and knows the basics of series.

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
Differential Calculus

Contents

Integral, integrations methods of functions, calculation of areas, volumes and length of curves and numerical integration. Solving differential equations by separation of variables, applications. Arithmetical progressions and geometrical series and basics of power series.

Recommended or Required Reading and Other Learning Resources/Tools

Majaniemi: "Matematiikka I, II and III", 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

Exercises and examination. The student is required to perform at least one quarter of the homework exercises.


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