Analytic Geometry and Linear Algebra
Structure Type:  Course 
Code:  IKTP0110 
Type:  Compulsory 

Level:  Bachelor 
Credits:  2.0 points 
Responsible Teacher:  Rintala, Sanna 

Language of Instruction:  Finnish 
Course Implementations, Planned Year of Study and Semester
Curriculum  Semester  Credits  Start of Semester  End of Semester 
ET2016 
1 spring 
2.0 


KT2016 
1 spring 
2.0 


YT2016 
1 spring 
2.0 


ET2017 
1 spring 
2.0 


KT2017 
1 spring 
2.0 


YT2017 
1 spring 
2.0 


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 studentâ€™s own learning 1 h is included.
Prerequisites / Recommended Optional Courses
Introduction to Technical Mathematics.
Contents
Trigonometric formulae and equations, complex numbers, second degree curves in the plane, determinants and basics of matrix calculus, inequalities.
Recommended or Required Reading
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 wellabled 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.
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