# Mathematics for Engineers I

7.5 ECTS credits- Algebraic simplifications, completing the square, the factor theorem, equations and inequalities, absolute values.

- Polynomial, potency, logarithmic, exponential, trigonometric, and inverse trigonometric functions, their definitions, properties, and graphs.

- Complex numbers in Cartesian and polar form, de Moivres theorem, vector representation of complex numbers.

- The concept of function, domain of definition, range of function, composition of functions, inverse functions.

- Limits of functions, continuity, asymptotes.

- Definition and rules for derivatives, derivatives of elementary functions, implicit differentiation.

- Function analysis: increasing and decreasing functions, extrema, concavity.

- Applications of derivatives: tangents and normals, extreme value problems, linearisations, related rates, Taylor polynomials, and l'Hôpital's rule.

- Polynomial, potency, logarithmic, exponential, trigonometric, and inverse trigonometric functions, their definitions, properties, and graphs.

- Complex numbers in Cartesian and polar form, de Moivres theorem, vector representation of complex numbers.

- The concept of function, domain of definition, range of function, composition of functions, inverse functions.

- Limits of functions, continuity, asymptotes.

- Definition and rules for derivatives, derivatives of elementary functions, implicit differentiation.

- Function analysis: increasing and decreasing functions, extrema, concavity.

- Applications of derivatives: tangents and normals, extreme value problems, linearisations, related rates, Taylor polynomials, and l'Hôpital's rule.

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

- Drug Analysis - Bachelor Programme in Chemistry (studied during year 2)
- Study Programme in Engineering - Computer Science (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)
- Study Programme in Mechanical Engineering (studied during year 1)
- Engineering: Surveying Technology and Geographical IT (studied during year 1)