Analytic Geometry and Linear Algebra
| Structure Type: | Study unit |
|---|---|
| Code: | IRTP0201 |
| Type: | Compulsory / Basic Studies |
| Curriculum: | EY 2015V / 2017V / 2018V I-RT 2010 / 2010V / 2011 / 2012 / 2013 / 2013V KT 2014V / 2016V / 2018V / 2019V RT 2014 / 2015 / 2015V / 2016 |
| Level: | Bachelor of Engineering |
| Year of Study: | 1 (2010-2011 / 2011-2012 / 2012-2013 / 2013-2014 / 2014-2015 / 2015-2016 / 2016-2017 / 2017-2018 / 2018-2019 / 2019-2020) |
| Credits: | 2 cr |
| Responsible Teacher: | Rintala, Sanna |
| Language of Instruction: | Finnish |
Courses
| Impl. | Group(s) | Study Time | Teacher(s) | Language | Classes | Enrolment |
|---|---|---|---|---|---|---|
| 1 | I-RT-1N | 2011-01-03 – 2011-03-05 | Henry Niemi | Finnish | 2010-12-07 – 2011-01-09 | |
| 2 | I-RT-1N | 2011-01-03 – 2011-03-05 | Sanna Rintala | Finnish | 2010-12-07 – 2011-01-09 | |
| 3 | I-RT-1V | 2011-01-03 – 2011-03-05 | Jarmo Mäkelä | Finnish | 2010-12-07 – 2011-01-09 | |
| 4 | I-RT-1N | 2012-01-09 – 2012-03-02 | Mikko Hurme | Finnish | 2011-12-07 – 2012-01-15 | |
| 5 | I-RT-1N | 2013-01-07 – 2013-03-01 | Mikko Hurme | Finnish | 2012-12-07 – 2013-01-07 | |
| 6 | I-RT-1N | 2014-01-06 – 2014-03-08 | Jussi Ojanen | Finnish | 2013-12-09 – 2014-01-10 | |
| 7 | I-RT-1V | 2014-01-06 – 2014-03-08 | Jussi Ojanen | Finnish | 2013-12-09 – 2014-01-10 | |
| 8 | I-RT-1N | 2015-01-05 – 2015-03-16 | Jarmo Mäkelä | Finnish | 2014-12-08 – 2015-01-12 | |
| 9 | I-RT-1N | 2016-01-04 – 2016-03-12 | Jarmo Mäkelä | Finnish | 2015-12-07 – 2016-01-10 | |
| 10 | I-EY-1V, I-RT-1V | 2016-01-04 – 2016-03-12 | Onni Pyhälahti | Finnish | 2015-12-07 – 2016-01-10 | |
| 11 | I-RT-1N | 2017-01-09 – 2017-03-05 | Onni Pyhälahti | Finnish | 2016-12-12 – 2017-01-16 | |
| 12 | I-EY-1V | 2018-01-08 – 2018-02-23 | Jarmo Mäkelä | Finnish | 2017-12-11 – 2018-01-15 | |
| 14 | I-EY-1V, I-KT-1V | 2019-01-07 – 2019-03-05 | Sanna Rintala | Finnish | 2018-12-10 – 2019-01-14 | |
| 15 | I-KT-1V | 2020-01-07 – 2020-02-21 | Tuomo Toimela | Finnish | 20 h | 2019-12-16 – 2020-01-14 |
The descriptions shown below are for 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 20 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.
Contents
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
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.