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
I-ST-2010   1 autumn   2.0   2010-08-24   2010-12-18  
I-ST-2010   1 spring   1.0   2011-01-05   2011-06-17  
I-ST-2011   1 autumn   2.0   2011-08-22   2011-12-23  
I-ST-2011   1 spring   1.0   2012-01-09   2012-06-18  
I-ST-2012   1 autumn   2.0   2012-08-24   2012-12-18  
I-ST-2012   1 spring   1.0   2013-01-05   2013-06-18  
I-ST-2013   1 autumn   3.0        
ST-2014   1 autumn   3.0        
ST-2015   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 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

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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