Foundation course in Mathematics
7.5 ECTS creditsInstruction is in the form of lectures, exercises, and laboratory sessions.
Main course components:
- Basic logic and set theory: symbols and concepts, basic principles of logical reasoning and proofs
- Basic analytical geometry such as conic sections
- Algebraic simplification, completing the square, factor theorem, equations such as trigonometric equations, inequalities, and absolute values
- Complex numbers: Cartesian and polar form, de Moivres formula
- Elementary functions: the concept of function, domain of definition, range of function, composition of functions, inverse functions
- Basic functions: polynomial, power, logarithmic, exponential, trigonometric, and inverse trigonometric functions, their definitions, properties, graphs, and rules for calculation
- Limits of sequences and functions, continuity, properties of continuous functions
- Definition of the derivative and calculation laws, chain rule, derivatives of elementary functions, implicit differentiation, the mean value theorem
- Basic applications of derivatives: tangents and normals, increasing and decreasing functions.
- Function studies: graph construction, extreme points, asymptotes, concavity
- Applications of derivatives: extreme value problems, linearisation, Taylor polynomial with error term using big-O notation and the Lagrange's form, l'Hopital's rules.
Main course components:
- Basic logic and set theory: symbols and concepts, basic principles of logical reasoning and proofs
- Basic analytical geometry such as conic sections
- Algebraic simplification, completing the square, factor theorem, equations such as trigonometric equations, inequalities, and absolute values
- Complex numbers: Cartesian and polar form, de Moivres formula
- Elementary functions: the concept of function, domain of definition, range of function, composition of functions, inverse functions
- Basic functions: polynomial, power, logarithmic, exponential, trigonometric, and inverse trigonometric functions, their definitions, properties, graphs, and rules for calculation
- Limits of sequences and functions, continuity, properties of continuous functions
- Definition of the derivative and calculation laws, chain rule, derivatives of elementary functions, implicit differentiation, the mean value theorem
- Basic applications of derivatives: tangents and normals, increasing and decreasing functions.
- Function studies: graph construction, extreme points, asymptotes, concavity
- Applications of derivatives: extreme value problems, linearisation, Taylor polynomial with error term using big-O notation and the Lagrange's form, l'Hopital's rules.
Progressive specialisation:
G1N (has only upper鈥恠econdary level entry requirements)
Education level:
Undergraduate level
Admission requirements
General admission requirements and Mathematics 4/E, or 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
- Bachelor Programme in Physics (studied during year 1)
- Mathematics Programme (studied during year 1)
- Master of Science in Computer Engineering (studied during year 1)
- Master of Science in Energy and Environmental Engineering (studied during year 1)
- Master of Science in Industrial Engineering and Management (studied during year 1)
- Master of Science in Chemical Engineering (studied during year 1)
- Master of Science in Mechanical Engineering (studied during year 1)
- Master of Science in Engineering Physics (studied during year 1)