Descriptive Geometry and Business MathematicsLaajuus (3 ECTS)

Objective

On completion of the course the student will understand the features typical for parallel projection and be able to draw various three-dimensional objects. The student will have learnt how to draft various building services engineering related three-dimensional objects, such as ducts and pipes, with the help of cavalier projection. The student will be able to interpret pipe system drawings drawn with isometric projection and also be able to draw them. The student will understand the concept of complex number and will have learnt arithmetic of complex numbers necessary for electrical engineering. The student will know how to perform certain percentage applications central for business mathematics and will have learnt interest, loan and index calculation.

Content

The basic features of and differences between central and parallel projection. Using unit cube when drawing parallel projection. Cavalier projection, military projection and isometric projection. Drawing three-dimensional objects with various parallel projections. Revising the calculation of volume, area and angels of various three-dimensional, building services engineering related objects. Use of isometric projection for three-dimensional pipe system drawings. Complex numbers, their arithmetic and various forms. Interest and loan calculation. The concept and various types of index, index calculation. The use of Excel in problems of business mathematics.

Assessment criteria, satisfactory (1)

The student is able to solve simple problems in the studied topics.

Assessment criteria, good (3)

The student is able to solve slightly more demanding problems. When necessary, the student is able to make use of his or her previous knowledge and skills in other fields in mathematics.

Assessment criteria, excellent (5)

The student is able to solve more demanding problems. When necessary, the student is able to make use of his or her previous knowledge and skills in other fields in mathematics and work rather independently.