# Mathematics for GIS Engineers II

7.5 ECTS creditsSingle-variable calculus: Differentiation of products, quotients and compositions of elementary functions. Applications, such as construction of curves, extreme value problems, and related rates.

Mean Value Theorem and Taylor's Formula. Least-squares approximations.

Multi-variable calculus: partial derivative, directional derivative and

gradient, extreme value problems and Taylor's Formula.

Plane geometry: Chord Theorem, Bisector Proposition, Heron's Formula and repetition of upper secondary school geometry. Conic sections.

Spherical geometry: Polar coordinates in three dimensions and vector

geometry applied on the surface of the earth viewed as an idealized sphere.

Mean Value Theorem and Taylor's Formula. Least-squares approximations.

Multi-variable calculus: partial derivative, directional derivative and

gradient, extreme value problems and Taylor's Formula.

Plane geometry: Chord Theorem, Bisector Proposition, Heron's Formula and repetition of upper secondary school geometry. Conic sections.

Spherical geometry: Polar coordinates in three dimensions and vector

geometry applied on the surface of the earth viewed as an idealized sphere.

Progressive specialisation:
G1F (has less than 60 credits in first‐cycle course/s as entry requirements)

Education level:
Undergraduate level

Admission requirements:
Mathematics for Engineers I, 7.5 ECTS, or the equivalent.

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

- Geographic Information Systems Engineering (studied during year 1)
- Engineering: Surveying Technology and Geographical IT (studied during year 1)