Technical Mathematics (4 cr)

Evaluation scale

0-5

Objective

In this course, you will learn the basics of the mathematics behind technology, with topics such as geometry, vectors, and functions Student: • you recognize the mathematical notations related to the subject areas and can use the most central ones • you know how to solve an oblique triangle and you know how to calculate the parts and areas of different plane patterns • you know the calculations of plane and space vectors • you can solve basic problems of plane vectors and space vectors • you know the basic concepts of functions and recognize the typical properties of different functions • you recognize graphs of different types of functions • you know the meaning of the sine curve parameters • you know how to use and apply the topics in technical problems • you know how to create a mathematical model of technology problems and you know how to apply it in the solution of the problem • you are able to present and justify logically chosen solutions • you know how to evaluate the reasonableness and correctness of the solutions you make

Content

• right triangle, angle, angle units • areas of triangles and polygons • trigonometric functions in general • diagonal triangle (sine and cosine theorem) • sum of vectors, difference, multiplication by a number • plane vector coordinate and polar coordinate representation • vectors in space • dot product and cross product of vectors (3D) • function and related concepts • 1st-degree polynomial function, straight line (creating an equation from the graph), linear dependence • 2nd degree polynomial function, parabola • direct and inverse proportionality, piecewise defined function • sine curve