Analytic Geometry and Linear Algebra
Structure Type:  Course 
Code:  ISTP0205 
Type:  Compulsory 

Level:  Bachelor 
Credits:  3.0 points 
Responsible Teacher:  Niemi, Henry 

Language of Instruction:  Finnish 
Course Implementations, Planned Year of Study and Semester
Curriculum  Semester  Credits  Start of Semester  End of Semester 
IST2010 
1 autumn 
2.0 
20100824 
20101218 
IST2010 
1 spring 
1.0 
20110105 
20110617 
IST2011 
1 autumn 
2.0 
20110822 
20111223 
IST2011 
1 spring 
1.0 
20120109 
20120618 
IST2012 
1 autumn 
2.0 
20120824 
20121218 
IST2012 
1 spring 
1.0 
20130105 
20130618 
IST2013 
1 autumn 
3.0 


ST2014 
1 autumn 
3.0 


ST2015 
1 autumn 
3.0 


Learning Outcomes
The student learns to solve exponential and logarithmic functions and polynomial functions of higher degree. The student knows the the volumes and areas of the most common bodies. The student is familiar with matrix and vector calculations as well as trigonometry and complex numbers. The objective is that the student can solve systems of equations where the coefficients are complex numbers. The student knows the various representations of complex numbers. The student can also solve inequalities and knows the characteristics of second order plane curves.
Student's Workload
The total amount of student's work is 81 h, which contains 42 h of contact studies.
Prerequisites / Recommended Optional Courses
Basics of Technical Mathematics
Contents
Exponential and logarithmic functions;calculation rules of logarithmic functions and exponential and logarithmic equations. Polynomial functions of higher degree. Complementatin to plane and space geometry. Trigonometric formulas and equations, complex numbers, second order plane curves, determinants and basics of matrix calculation, inequalities and space vectors. Applications in electrical engineering.
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
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 wellabled 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
Exams, home assignments 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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