Natural Science, Preparatory Term
30.0 PECThe course comprises the following components:
Module 1: Physics, 7.5 ECTS cr
- mathematical treatment of motion and force in two dimensions, plus torque and equilibrium,
- electric charge, current, and voltage,
- basic understanding of the field concept in gravitation, electrostatics, and magnetism,
- application of the relation between electric field intensity, potential, and tension in simple situations, charged particle movement in electric and magnetic fields, forces at work in electric and magnetic fields,
- induction and alternating current, and
- laboratory sessions on the above.
Module 2: Mathematics, 7.5 ECTS cr
- arithmetics for real numbers, factoring, root, equations, completion of the square, equation systems, inequalities, polynomials and rational expressions, absolute value,
- the concept of function,
- change quotient and derivative,
- derivation rules for polynomial, power, and exponential functions and applications,
- function studies using derivatives,
- curve construction and asymptotes,
- applications of derivative, extreme value problems,
- primitive functions and simple integrals,
- basic trigonometry in right-angled triangles,
- the unit circle, the triangle theorems for arbitrary triangles,
- trigonometric expressions and formulae,
- trigonometric equations,
- trigonometric functions and their graphs, and
- the radian concept.
Module 3: Physics, 7.5 ECTS cr
- harmonic oscillation, resonance, mechanical waves, acoustics,
- light, reflection, refraction, interference, diffraction, polarisation,
- Einsteins postulate, time dilation, and relative energy,
- the structure of atoms, connections between energy levels and atomic spectra, and the significance of the photon concept,
- the structure of the atom and the nucleus,
- absorption and emission of electromagnetic radiation, energy quantisation,
- wave particle duality,
- nuclear reactions, ionised radiation, and calculation of radioactivity,
- ethical and environmental issues related to radiation, and
- laboratory sessions on the above.
Module 4: Mathematics, 7.5 ECTS cr
- composite functions, logarithm functions, absolute value as a function
- derivation rules for trigonometric, logarithm, composite functions, product and quotient of functions, and applications,
- differential equations,
- differential equations as models for simple everyday problems,
- primitive functions and integrals,
- applications of integrals,
- rotation volumes,
- calculations with complex numbers,
- the complex number plane,
- complex numbers in rectangular, polar, and power form, and
- polynomial equations, polynomial division, the factor theorem.
Instruction is in the form of lectures, exercises, seminars, and laboratory sessions.
Module 1: Physics, 7.5 ECTS cr
- mathematical treatment of motion and force in two dimensions, plus torque and equilibrium,
- electric charge, current, and voltage,
- basic understanding of the field concept in gravitation, electrostatics, and magnetism,
- application of the relation between electric field intensity, potential, and tension in simple situations, charged particle movement in electric and magnetic fields, forces at work in electric and magnetic fields,
- induction and alternating current, and
- laboratory sessions on the above.
Module 2: Mathematics, 7.5 ECTS cr
- arithmetics for real numbers, factoring, root, equations, completion of the square, equation systems, inequalities, polynomials and rational expressions, absolute value,
- the concept of function,
- change quotient and derivative,
- derivation rules for polynomial, power, and exponential functions and applications,
- function studies using derivatives,
- curve construction and asymptotes,
- applications of derivative, extreme value problems,
- primitive functions and simple integrals,
- basic trigonometry in right-angled triangles,
- the unit circle, the triangle theorems for arbitrary triangles,
- trigonometric expressions and formulae,
- trigonometric equations,
- trigonometric functions and their graphs, and
- the radian concept.
Module 3: Physics, 7.5 ECTS cr
- harmonic oscillation, resonance, mechanical waves, acoustics,
- light, reflection, refraction, interference, diffraction, polarisation,
- Einsteins postulate, time dilation, and relative energy,
- the structure of atoms, connections between energy levels and atomic spectra, and the significance of the photon concept,
- the structure of the atom and the nucleus,
- absorption and emission of electromagnetic radiation, energy quantisation,
- wave particle duality,
- nuclear reactions, ionised radiation, and calculation of radioactivity,
- ethical and environmental issues related to radiation, and
- laboratory sessions on the above.
Module 4: Mathematics, 7.5 ECTS cr
- composite functions, logarithm functions, absolute value as a function
- derivation rules for trigonometric, logarithm, composite functions, product and quotient of functions, and applications,
- differential equations,
- differential equations as models for simple everyday problems,
- primitive functions and integrals,
- applications of integrals,
- rotation volumes,
- calculations with complex numbers,
- the complex number plane,
- complex numbers in rectangular, polar, and power form, and
- polynomial equations, polynomial division, the factor theorem.
Instruction is in the form of lectures, exercises, seminars, and laboratory sessions.
Education level:
Preparatory level
Admission requirements:
General admission requirements plus upper secondary school level Mathematics 3b/3c, Physics 1, Chemistry 1, 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
- Preparatory Term (studied during year 1)