Basics of MathematicsLaajuus (5 cr)

Objective

You are able to manipulate mathematical expressions encountered in engineering and science. You are able to solve equations and systems of equations. You are able to draw and interpret function graphs. You know the concept of logarithm. You are familiar with different units of angle and trigonometric functions and their use in solving triangles. You know the basic concepts related to vectors and you are able to perform vector operations in a plane and in space and apply your knowledge in practice.

Content

Mathematical notation and manipulation of mathematical expressions
First- and second-degree equation, polynomial and radical equation, proportion and fractional equation
System of linear equations
Analytical, graphical and numerical solution of an equation
Concept of function and first and second degree polynomial function
Concept of logarithm
Logarithmic and exponential function and related equations
Units of angle, trigonometric functions and solving triangles
Concept of vector, vectors in a plane and direction angle and components of a vector
Vectors in space
Vector projection, scalar product and vector product

Assessment criteria, satisfactory (1)

You are able to describe the most essential mathematical concepts and principles covered in the course and apply your knowledge in simple cases.

Assessment criteria, good (3)

You are able to present accurately the mathematical concepts and principles covered in the course and apply your knowledge in practice.

Assessment criteria, excellent (5)

You are able present accurately the mathematical concepts and principles covered in the course and apply your knowledge in new and demanding cases.

Assessment criteria, approved/failed

You are able to describe the most essential mathematical concepts and principles covered in the course and apply your knowledge in simple cases.