# Mathematics for Engineers I

7.5 ECTS credits

-Algebraic simplifications, completing the square, the factor theorem, equations and inequalities, trigonometric equations, absolute values.

-Elementary functions: polynomial; potency, logarithmic, exponential, trigonometric and inverse trigonometric functions, their definitions, properties, graphs and calculation rules.

-Complex numbers: Cartesian and polar form, de Moivres theorem, binomic equations.

-Elementary linear algebra: linear equation systems, Gaussian elimination, matrices, calculation rules for matrices, inverse matrices, determinants of second and third orders.

-Vectors in the plane and space, scalar and vector products, equations for lines and planes, dot products, lines and planes in space.

-Elementary functions: the concept of function, domain of definition, range of function, composition of functions, inverse functions.

-Limits of functions, continuity, asymptotes.

-Elementary functions: polynomial; potency, logarithmic, exponential, trigonometric and inverse trigonometric functions, their definitions, properties, graphs and calculation rules.

-Complex numbers: Cartesian and polar form, de Moivres theorem, binomic equations.

-Elementary linear algebra: linear equation systems, Gaussian elimination, matrices, calculation rules for matrices, inverse matrices, determinants of second and third orders.

-Vectors in the plane and space, scalar and vector products, equations for lines and planes, dot products, lines and planes in space.

-Elementary functions: the concept of function, domain of definition, range of function, composition of functions, inverse functions.

-Limits of functions, continuity, asymptotes.

Progressive specialisation:
G1N (has only upper‐secondary level entry requirements)

Education level:
Undergraduate level

Admission requirements:
General admission requirements and upper secondary level Mathematics 3C or Mathematics D

Selection:

Selection is usually based on your grade point average from upper secondary school or the number of credit points from previous university studies, or both.

### This course is included in the following programme

- Study Programme in Engineering - Computer Science (studied during year 1)
- Geographic Information Systems Engineering (studied during year 1)
- Study Programme in Building and Construction Engineering (studied during year 1)
- Electrical Engineering (studied during year 1)
- Bachelor of Science in Enviromental and Energy Engineering (studied during year 1)
- Study Programme in Innovation and Design Engineering (studied during year 1)
- Mechatronic Engineering (studied during year 1)
- Music and Sound Engineering (studied during year 1)
- Study Programme in Mechanical Engineering (studied during year 1)
- Engineering: Surveying Technology and Geographical IT (studied during year 1)