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- 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.

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

Education level: Undergraduate level

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)