Study Guide

Objectives (course unit)

In this course, you will learn the basic math skills you need in your studies and working life.

After this course
• you recognize the mathematical notations related to the subject areas and know how to use the most important of them
• you know how to solve right angled and scalene triangles
• you can calculate the parts and areas of different plane patterns and the volumes and areas of different objects
• you know the concept of slope
• you know how to calculate the center of gravity of a level area and can solve tasks related to uniformity and scale
• you know how to solve basic vector problems in the plane
• you know the basic concepts of functions and recognize the typical properties of different functions
• you can solve equations related to basic functions and apply them in engineering problems
• you recognize the graphs of different types of functions, know how to use them 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 (course unit)

• Angle, angle units, slope
• Right triangle
• Areas of triangles and polygons
• Scalene triangle (sine and cosine theorem), Trigonometric functions in general
• Center of gravity of the plane area
• Uniformity and scale
• Circle theory (areas of parts of a circle and length of an arc)
• Spatial geometry (volumes and surfaces of 3D objects)
• Function and related concepts

Assessment criteria, satisfactory (1-2) (course unit)

Student
• knows how to solve right-angled and scalene triangles
• can calculate the surface areas of different plane patterns and the volumes of pieces
• knows the calculations of plane vectors
• can solve vector problems like the examples presented
• recognize the basic concepts of functions and the characteristics of different functions
• the presentations and justifications of the chosen solutions may be incomplete
• there may be shortcomings in evaluating the reasonableness and correctness of the solutions made

Assessment criteria, good (3-4) (course unit)

Student
• recognize the mathematical notations related to the subject areas and know how to use the most important of them
• knows how to solve an oblique triangle and can calculate the parts and areas of different plane patterns
• knows the calculations of plane and space vectors
• can solve basic problems of plane vectors and space vectors
• knows the basic calculations of matrices and knows some applications
• knows the basic concepts of functions and recognizes the typical properties of different functions
• recognize graphs of different types of functions
• knows the meaning of the parameters of the sine curve
• knows how to use and apply the topics in technical problems
• can create a mathematical model of technology problems and can apply it in the solution of the problem
• is able to present and justify logically chosen solutions
• knows how to evaluate the reasonableness and correctness of the decisions he makes

Assessment criteria, excellent (5) (course unit)

In addition to the previous one, the student has a comprehensive understanding of the subjects of the course and knows how to apply them to more demanding problems. The student has the ability to present and justify logically chosen solutions. Solutions are presented clearly and mathematical concepts are used precisely.

The student is highly motivated and takes full responsibility for his own and the group's performance.In addition to the previous one, the student has a comprehensive understanding of the subjects of the course and knows how to apply them to more demanding problems. The student has the ability to present and justify logically chosen solutions. Solutions are presented clearly and mathematical concepts are used precisely. The student is highly motivated and takes full responsibility for his own and the group's performance.

Assessment scale

0-5