Analytic Geometry and Linear Algebra
| Structure Type: | Study unit |
|---|---|
| Code: | IXP0402 |
| Type: | Compulsory / Basic Studies |
| Curriculum: | I-ST 2008V |
| Level: | Bachelor of Engineering |
| Credits: | 2 cr |
| Responsible Teacher: | Ojanen, Jussi |
| Language of Instruction: | Finnish |
Courses
| Impl. | Group(s) | Study Time | Teacher(s) | Language | Enrolment |
|---|---|---|---|---|---|
| 24 | 2008-08-25 – 2008-10-25 | Henry Niemi | Finnish | 2008-08-15 – 2008-08-31 | |
| 25 | 2009-01-05 – 2009-03-07 | Henry Niemi | Finnish | 2008-12-08 – 2009-01-11 | |
| 26 | 2009-01-05 – 2009-03-07 | Jarmo Mäkelä | Finnish | 2008-12-08 – 2009-01-11 | |
| 27 | 2009-01-05 – 2009-03-07 | Mikko Hurme | Finnish | 2008-12-08 – 2009-01-11 | |
| 28 | 2009-01-05 – 2009-03-07 | Paavo Leppänen | Finnish | 2008-12-08 – 2009-01-11 | |
| 29 | 2009-01-05 – 2009-03-07 | Henry Niemi | Finnish | 2008-12-08 – 2009-01-11 | |
| 31 | I-ST-2V | 2009-08-24 – 2009-10-24 | Paavo Leppänen | Finnish | 2009-08-14 – 2009-09-06 |
| 32 | 2010-01-04 – 2010-03-06 | Virpi Elomaa | Finnish | 2009-12-07 – 2010-01-10 | |
| 33 | 2010-01-04 – 2010-03-06 | Jarmo Mäkelä | Finnish | 2009-12-07 – 2010-01-10 | |
| 34 | 2010-01-04 – 2010-03-06 | Henry Niemi | Finnish | 2009-12-07 – 2010-01-10 | |
| 35 | 2010-01-04 – 2010-03-06 | Mikko Hurme | Finnish | 2009-12-07 – 2010-01-10 | |
| 36 | 2010-01-04 – 2010-03-06 | Sanna Rintala | Finnish | 2009-12-07 – 2010-01-10 | |
| 37 | I-YT-1V | 2010-01-04 – 2010-03-06 | Paavo Leppänen | Finnish | 2009-12-07 – 2010-01-10 |
| 38 | 2010-01-04 – 2010-03-06 | Henry Niemi | Finnish | 2009-12-07 – 2010-01-10 | |
| 39 | 2010-01-04 – 2010-03-06 | Jarmo Mäkelä | Finnish | 2009-12-07 – 2010-01-10 | |
| 40 | H-VV | 2010-05-03 – 2010-06-18 | Ari Luukkonen | Finnish | 2010-04-16 – 2010-05-09 |
| 41 | I-ST-1V, I-TT-1V | 2011-03-07 – 2011-04-30 | Henry Niemi | Finnish | 2011-02-14 – 2011-03-13 |
| 42 | H-VV | 2011-05-02 – 2011-06-21 | Ari Luukkonen | Finnish | 2011-04-05 – 2011-04-27 |
| 43 | I-ST-1V, I-TT-1V | 2012-01-09 – 2012-03-02 | Jussi Ojanen | Finnish | 2011-12-07 – 2012-01-15 |
| 44 | H-VV | 2012-04-30 – 2012-06-10 | Ari Luukkonen | Finnish | 2012-03-26 – 2012-04-22 |
| 45 | I-ST-1V | 2013-01-07 – 2013-04-26 | Henry Niemi, Virpi Elomaa | Finnish | 2012-12-07 – 2013-03-04 |
Still need to take the course? See the courses during the academic year 2018-2019.
Learning Outcomes
The student is introduced to matrix and vector calculus, as well as trigonometry and complex numbers needed in the calculation of circuits. 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 20 h of scheduled contact studies.
The assessment of student’s own learning 1 h is included in contact lessons.
Prerequisites / Recommended Optional Courses
Introduction to Technical Mathematics.
Contents
Trigonometric formulae and equations, complex numbers, second degree curvesin the plane, determinants and basics of matrix calculus, inequalities and space vectors. Applications specific to electrical 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 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
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. At least 25 % of the given homework exercises must be solved in order to passt the course.