# 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)