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Analytic Geometry and Linear Algebra

Structure Type: Study unit
Code: IRTP0201
Type: Compulsory / Basic Studies
Curriculum: KT 2016V
Level: Bachelor of Engineering
Year of Study: 1 (2016-2017)
Credits: 2 cr
Responsible Teacher: Elomaa, Virpi
Language of Instruction: Finnish

Courses During the Academic Year 2016-2017

Impl.Group(s)Study TimeTeacher(s)LanguageEnrolment
11I-RT-1N2017-01-09 – 2017-03-05Onni PyhälahtiFinnish2016-12-12 – 2017-01-16

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

Learning Outcomes

The student knows the volume and area of the most usual bodies. The student will be familiar with matrix and vector calculation as well as trigonometry and complex numbers. The objective is that the student is able to formulate and calculate matrix equations and apply vector calculation in statics. The student is also able to solve inequalities and knows the properties of quadratic plane curves.

Student's Workload

The total amount of student's work is 54 h, which contains 35 h of contact studies.
The assessment of student’s own learning 1 h is included in contact lessons.

Prerequisites / Recommended Optional Courses

Introduction to Technical Mathematics.


Exponential and logarithm functions. Calculations rules of logarithms and exponential and logarithm equations. Polynomials of higher order. Complementation of plane and space geometry. Trigonometric formulae and equations, complex numbers, qudratic plane curves, determinants and basics of matrix calculus, inequalities and space vectors. Applications specific to civil engineering.

Recommended or Required Reading and Other Learning Resources/Tools

Majaniemi: "Algebra I ja II" and "Geometria", 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. 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.