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Front Page > Current Education > Environmental Technology (YT) > 2019 > Year 1 > Analytic Geometry and Linear Algebra (IKTP0110)

Analytic Geometry and Linear Algebra

Structure Type: Study unit
Code: IKTP0110
Type: Compulsory / Basic Studies
Curriculum: YT 2019
Level: Bachelor of Engineering
Year of Study: 1 (2019-2020)
Semester: Spring
Credits: 2 cr
Responsible Teacher: Rintala, Sanna
Language of Instruction: Finnish

Courses During the Academic Year 2019-2020

Impl.Group(s)Study TimeTeacher(s)LanguageEnrolment
6I-ET-1N, I-KT-1N, I-YT-1N2020-01-07 – 2020-02-21Jussi OjanenFinnish2019-12-16 – 2020-01-14

Learning Outcomes

The student is introduced to matrix calculus, as well as trigonometry and complex numbers. The objective is that the student can solve systems of equations where the factors are complex numbers. In addition, the student knows the various representations of complex numbers. The student can also solve simple inequalities and knows the properties of second order curves.

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

Introduction to Technical Mathematics.


Trigonometric formulae and equations, complex numbers, second degree curves in the plane, determinants and basics of matrix calculus, inequalities.

Recommended or Required Reading and Other Learning Resources/Tools

S. Alestalo, P. Lehtola, T. Nieminen, A. Rantakaulio: Tekninen matematiikka 1, 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. An essential ingredient of learning, however, consists of exercises which are gone through during the lectures, and independent homework performed by the student. 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 exam, 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.