Analytic Geometry and Linear Algebra
|Structure Type:||Study unit|
|Type:||Compulsory / Basic Studies|
|Level:||Bachelor of Engineering|
|Year of Study:||1 (2018-2019)|
|Responsible Teacher:||Rintala, Sanna|
|Language of Instruction:||Finnish|
Courses During the Academic Year 2018-2019
|3||I-KT-1N||2019-01-07 – 2019-04-10||Sanna Rintala||Finnish||2018-12-10 – 2019-01-14|
|4||I-ET-1N, I-YT-1N||2019-01-07 – 2019-04-30||Sanna Rintala||Finnish||2018-12-10 – 2019-01-14|
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.
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.
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.
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.