REA1042 - Mathematics 10 - Functions with one variable
The students are supposed to:
Kinematics and dynamics for translatory motion of one particle.
Straight line motion and planar motion. Position, velocity and acceleration. Newton's laws. Work, potential and kinetic energy. Momentum. Conservation laws. Power and efficiency.
Kinematics and dynamics for rotational motion:
Circular motion for particle, angular velocity and angular acceleration. Rotation of rigid body about fixed axis. Moment of interia and rotational energy. Torque and angular momentum. Newton's second law for rotational motion.
Free and forced oscillations, with and without damping. Resonance. Mathematical, physical, torsional and elastic pendulum.
Hydrostatics: Pressure. Buoyancy. Forces on submerged surfaces. Hydrodynamics: The equation of continuity. Bernoulli's equation. Laminar and turbulent flow. Resistance and forces of flow.
Length and volume expansion. Heat transfer by conduction and convection. Thermal resistance. Analogy with electrical quantities. The first law of thermodynamics.
Electricity: Coulomb's law. Electrical field. Potential. Work and energy. Current. Circuits. Gauss' law.
Magnetism: Magnets, magnetic field and field lines. Field around straight conductors and in inductors. Forces on charges in motion. Forces on conductors. Ampere's law. Induction: Flux and flux density. Faraday's law. Electromotive force. Electromagnetic oscillations.
Written exam, 4 hours
Alphabetical Scale, A(best) – F (fail)
Evaluation of exam work is done by course responsible. External examiner is used periodically (every 3 to 4 years) for evaluation of exam work and for production of exam exercises.
A separate re-sit exam is arranged.
John Haugan: Tabeller og formelsamling (NKI-forlaget). ISBN 82-562-2483-5
Exercises (3-5 during the term)
Detailed plan for required exercises is presented at course start-up. Three-semester students shall hand in 2-3 additional exercises in the three-semester period during the autumn.
Young, Hugh D. og Freedman, Roger A. (2007). University Physics. Addison-Wesley, 12th edition. ISBN: 080532187X
Additional material for three-semester students:
Jerstad, P., Sletbak, B. og Grimenes, A.A. (2003). Rom Stoff Tid Forkurs. Cappelen. ISBN: 9788202225759
REA1012 and REA1092
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