Analytic Geometry and Linear Algebra
Structure Type:  Course 
Code:  IKTP0203 
Type:  Compulsory 

Level:  Bachelor 
Credits:  3.0 points 
Responsible Teacher:  Mäkelä, Jarmo 

Language of Instruction:  Finnish 
Course Implementations, Planned Year of Study and Semester
Curriculum  Semester  Credits  Start of Semester  End of Semester 
IKT2010 
1 spring 
3.0 
20110105 
20110617 
IKT2010V 
1 spring 
3.0 
20110105 
20110617 
IKT2011 
1 spring 
3.0 
20120109 
20120618 
IKT2011V 
1 spring 
3.0 
20120109 
20120618 
IKT2012 
2 autumn 
3.0 


IKT2012V 
1 spring 
3.0 
20130105 
20130618 
IKT2013 
2 autumn 
3.0 


EY2014 
1 spring 
3.0 


KT2014 
1 spring 
3.0 


EY2015 
1 spring 
3.0 


KT2015 
1 spring 
3.0 


Learning Outcomes
The student becomes familiarized with matrices, vectors and complex numbers. At the end of the course the student knows the rules of calculation of determinants and matrices, and she is able to apply them, for instance, in the solution of linear systems of equations. The student is able to apply vectors for the solution of simple geometrical problems. The trigonometric functions are redefined by means of the concept of unit circle. The student knows the most central properties of the trigonometric functions, and she is able to solve trigonometric equations. In addition, the student learns the basics of complex numbers.
Student's Workload
The total amount of student's work is 81 h, which contains 42 h of contact studies.
Prerequisites / Recommended Optional Courses
Introduction to Technical Mathematics.
Contents
Determinants and matrices, together with their rules of calculation. Application of determinants and matrices in the solution of linear systems of equations. Vectors, their addition and multiplication by a number. Component representation of vectors. The dot and the cross products of vectors. The use of dot product in the calculation of angle and the cross product in the calculation of area. Trigonometric functions defined by means of the unit circle. The concept of radian. The basic properties of the trigonometric functions. Sine and cosine of the sum and the difference of two angles. Sine and cosines of double angles.
Recommended or Required Reading
Majaniemi: "Algebra I ja II" and "Geometria", Tietokotka Oy; the material prepared by the teacher.
Mode of Delivery / Planned Learning Activities and Teaching Methods
See the description of "Johdatus tekniikan matematiikkaan".
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. At least 25 % of the given homework exercises must be solved in order to pass the course.
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