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Integral Calculus

Structure Type: Study unit
Code: ISTP0504
Type: Compulsory / Basic Studies
Curriculum: ST 2014
Level: Bachelor of Engineering
Year of Study: 2 (2015-2016)
Credits: 2 cr
Responsible Teacher: Niemi, Henry
Language of Instruction: Finnish

Courses During the Academic Year 2015-2016

Impl.Group(s)Study TimeTeacher(s)LanguageEnrolment
5I-ST-2N2015-09-01 – 2015-12-31Jussi OjanenFinnish2015-08-14 – 2015-09-13

Learning Outcomes

The student learns the integration formulas and understand the concept of definite integral and can apply it in simple situations. The student knows how to apply integral calculus e.g. in calculating areas, volumes and curve length. In electrical engineering the most important applications are means of functions related to rectifying and RMS value. The student is also able to calculate integral values using numerical methods.

Student's Workload

The total amount of student's work is 54 h, which contains 28 h of contact studies.

Prerequisites / Recommended Optional Courses

Differential Calculus.

Contents

Integral functions and definite integral, integration formulas, area, volume curve length, means of functions, numerical integration. Applications related to electrical engineering

Recommended or Required Reading and Other Learning Resources/Tools

Majaniemi: "Matematiikka I ja 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. Students are given exercises which are to be solved with a computer.

Assessment Criteria

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

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

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

Assessment Methods

Exercises and examination. The student is required to perform at least one quarter of the homework exercises. All the given computer-related exercises must be handed in by the end of the course.


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