﻿ Classical Mechanics 1 – Curriculum

# Curriculum.

 Course title Classical Mechanics 1 Code F105 Status Undergraduate (obligatory) Level Intermediate Year 2. Semester 4. ECTS 4 ECTS credits Lecturer Zvonko Glumac Assistant Professor; Matko Mužević, Assistant Course objective To demonstrate knowledge and understanding of the following fundamental concepts in: Newtonian mechanics in one, two and three dimension, oscillations; particle motion under central forces; Newton’s law of motion in non-inertial frame of reference; To develop students math skills as applied to physics Prerequisites General Physics 1, (F101) Learning outcomes: After successfully completed course, students will be able to: apply vector calculus to solve the basic problems of classical mechanics; understand and apply Newton’s axioms; describe the properties of the free, damped and forced harmonic oscillator; understand the law of gravity; understand the connection between the inertial and non-inertial frame of reference.
 Teaching activity ECTS Learning outcome Students activity Methods of evaluation Points min max Class attendance 0 – Class attendance Evidence list 0 0 Knowledge test (preliminary exam) 2 1-5 Preparation for written examination Written  preliminary exam 0 50 Final exam 2 1-5 Repetition of teaching materials Oral exam (and written exam) 0 50 Total 4 1-5 0 100
 Consultations Friday, 12.00 – 14.00. Gained competencies Students gain knowledge about the concepts and mathematicall formulation of the laws of mechanics,  which enables them to understand the mechanical  phenomena in nature, as  well as solving simple tasks. Content (Course curriculum) Introduction; definition and basic properties of the vector; addition of vectors; vector multiplication; mirroring; derivative and integral of a vector field; gradient; divergence and Gauss’s theorem; rotation and Stokes’ theorem; Laplace operator; cylindrical coordinate system; spherical coordinate system; velocity and acceleration in rectangular, cylindrical and spherical coordinate systems; circular motion; Newton’s axioms; inert and heavy mass; work, power, kinetic energy; conservative forces and potential energy, conservation of mechanical energy, impulse, torque and angular momentum, equilibrium of a particle; motion in a uniform force field: falling bodies and projectiles: attenuation; motion of charged particles in the  Lorentz force field; free, damped and forced harmonic oscillator; resonance; two-dimensional harmonic oscillator; the mathematical pendulum; gravitational force, field, potential energy and potential; equations of motion for a particle in central foce field, potential energy, energy conservation, energy graph; equivalence of Kepler’s laws and the laws of gravity; virial theorem; time derivative of vectors in inertial and non-inertial systems, speed and acceleration in non-inertial systems; the equation of motion in non-inertial systems connected to the surface of the Earth; examples of motion in non-inertial systems  connected to the surface of the Earth. Recommended reading Klasična mehanika, uvod – Glumac, http://gama.fizika.unios.hr/~zglumac/utm.pdf Teorijska mehanika – Z. Janković Additional reading Theory and Problems in Theoretical Mechanics – M. Spiegel Classical Mechanics – Goldstein; Mehanika – D. Landau, E. M. LifšicTeorijska fizika i struktura materije – I. Supek; Mathematical Methods of Classical Mechanics – I. Arnold; Teorijska mehanika – M. Targ; A Guided Tour of Mathematical Physics –  R. Snieder, http://samizdat.mines.edu/snieder/ Instructional methods Lectures (30 hours) and auditory exercises (15 hours) Exam formats Three preliminary exams (90 min.) during the semester (50% weighting) and oral exam (50% weighting), or one 2-hour written examination (50% weighting) and oral exam (50% weighting). Language Croatian. English (mentoring students). Quality control and successfulness follow up Student survey. Permanent contact with students.