Linear Algebra

Structure Type: Course
Code: RAK1B3
Type: Compulsory
Level: Bachelor
Credits: 3.0 points
Responsible Teacher: Paananen, Juhani
Language of Instruction: Finnish

Course Implementations, Planned Year of Study and Semester

Curriculum  Semester  Credits  Start of Semester  End of Semester
RAK-2015RASU   1 spring   3.0   2016-01-01   2016-07-31  
RAK-2015TUTE   1 spring   3.0   2016-01-01   2016-07-31  
RAK-2016RASU   1 spring   3.0   2017-01-01   2017-07-31  
RAK-2016TUTE   1 spring   3.0   2017-01-01   2017-07-31  

Learning Outcomes

Learning competence
Upon completion of the course, the student will be competent in doing 2D- and 3D-vectors calculations, using vectors to solve problems pertaining to plane and space geometry, calculating basic matrix functions, using calculation tools, using their acquired knowledge in their Professional Studies and the working world.

Working community competence
Students are able to present the stages of linearalgebraic problem solving orally and in writing. Students are able to function in various groups and teams and to manage teams, which seek solutions for linear algebraic problems.

Quality management competence
Students are able to apply both exact and approximate methods to determine the correctness of mathematical work. Students know how to estimate the inaccuracy of measurements and take it into consideration.

Student's Workload

Total work load of the course: 80 h
- of which scheduled studies: 48 h
- of which autonomous studies: 32 h

Prerequisites / Recommended Optional Courses

Algebra. Geometry.

Contents

Vectors
• Sum and difference of vectors
• Unit vector
• Dot product
• Cross product
• Scalar and vector components
• Vector applications in statics: resultant, moment

Matrices
• Matrix algebra
• Matrix inverse
• Determinants
• Eigenvalues and eigenvectors

Recommended or Required Reading

To be announced at the beginning of the course.

Mode of Delivery / Planned Learning Activities and Teaching Methods

Lectures and exercises, independent study

Assessment Criteria

1 students understands the basics of vectors and matrices
3 student understands and is able to apply the methods of vectors and matrices well
5 student understands and is able to apply the methods of vectors and matrices excellently

Assessment Methods

Final exam

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