Analytic Geometry and Linear Algebra
| Structure Type: | Study unit |
|---|---|
| Code: | IITP0304 |
| Type: | Compulsory / Basic Studies |
| Curriculum: | I-IT 2013 |
| Level: | Bachelor of Engineering |
| Year of Study: | 1 (2013-2014) |
| Credits: | 2 cr |
| Responsible Teacher: | Mäkelä, Jarmo |
| Language of Instruction: | English |
Courses During the Academic Year 2013-2014
| Impl. | Group(s) | Study Time | Teacher(s) | Language | Enrolment |
|---|---|---|---|---|---|
| 4 | I-IT-1N | 2014-01-06 – 2014-03-08 | Jarmo Mäkelä | English | 2013-12-09 – 2014-01-10 |
Learning Outcomes
During this course a student is made familiar, first of all, with matrices, vectors and trigonometry. Vectors are used to describe quantities which, in addition to magnitude, are attributed with direction. Velocity, force and electric field, for instance, are described by vectors. Matrices, in turn, are certain arrays of numbers obeying certain rules of calculation. Matrices may be used to describe in which way vectors transform to each other. A rotation of a vector around a given point, for instance, is described by a certain matrix. Matrix calculus has many applications. Matrices may be used, for instance, when we solve simultaneous systems of equations or analyze the movements of a complicated part of a machine. Trigonometry, in turn, when it is taught on an advanced level, might be described as a study of the movements of a point on a rim of a wheel when the wheel rotates. Trigonometry has many applications, not only in geometrical problems, but in all those phenomena which involve periodicity. These phenomena include, for instance, oscillations of a bridge in a wind, movements of a piston in a cylinder of the engine of an automobile, or the propagation of radio waves in space. In addition of becoming familiar with matrices, vectors and trigonometry, the student will learn to solve simple inequalities. She will also gain a general impression of the basic properties of complex numbers and second order curves.
Student's Workload
The total amount of student's work is 54 h, containing 28 h of scheduled contact studies.
Contents
Trigonometric relations and equations, complex numbers, 2nd degree curves in the plane, basics of determinants and matrices, inequalities and linear optimisation, space vectors. Applications specific to degree programme.
Recommended or Required Reading and Other Learning Resources/Tools
The material prepared by the lecturer.
Mode of Delivery / Planned Learning Activities and Teaching Methods
See the description of "Introduction to Technical Mathematics".
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 well-abled to utilize the course contents.
Grade 5: The student is able to apply creatively the course contents.
Assessment Methods
An examination, 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.