Newton’s laws of motion, conservation principles, their applications to harmonic oscillators by some mathematical methods. Newton’s gravitational law, motions of the planets. Variation principle and its application to dynamics; Lagrange’s and Hamilton’s formalisms.
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Course Learning Outcomes
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Learning Outcomes |
Teaching Methods |
Assessment Methods |
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1) Gains some detailed knowledge about mechanical problems and solves them by using some advanced mathematical tools. |
1, 5, 15 |
A, B, C |
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2) Exhibits a physical approach to the interdisciplinary phenomena by using the insight gained in the course. |
1, 5, 15 |
A, B, C |
Course Flow
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Week |
Topics |
Study Materials |
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1 |
Matrices, vectors, vector calculus Coordinate transformations, unit vectors, differentiation of vectors. |
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2 |
Newtonian mechanics Newton’s laws, frames of reference, the equation of motion for a particle, resistive forces. |
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3 |
Oscillations SHM, damped oscillations, sinusoidal driving forces, response of oscillators to impulsive forcing. |
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4 |
Nonlinear oscillations and chaos Plane pendulum, chaos in a pendulum, mapping. |
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5 |
Gravitation Gravitational potential, lines of force. MIDTERM EXAM - 1 |
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6 |
Equipotential surfaces, ocean tides. Some methods in the calculus of variations Euler’s equation, the |
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7 |
Hamilton’s principle Generalized coordinates, Lagrange’s equations of motion, Hamiltonian dynamics. |
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8 |
Central-force motion Reduced mass, conservation theorems, planetary motion, orbital dynamics. |
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9 |
Dynamics of a system of particles Centre of mass, linear and angular momentum, elastic and inelastic collisions, rocket motion. |
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10 |
Motion in a noninertial reference frame Rotating coordinate systems, |
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11 |
Centrifugal and Coriolis forces, Foucault pendulum. MIDTERM EXAM - 2 |
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12 |
Dynamics of rigid bodies Inertia tensor, principal axes of inertia, |
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13 |
Eulerian angles, motion of the symmetric top. |
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14 |
Coupled oscillations Two coupled harmonic oscillators, weak coupling, three linearly coupled plane pendula. |
notation.Recommended Sources
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Textbook |
CLASSICAL DYNAMICS OF PARTICLES AND SYSTEMS Thornton & Marion (5th ed.) |
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Additional Resources |
CLASSICAL MECHANICS Greiner |
Material Sharing
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Documents |
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Assignments |
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Exams |
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Assessment
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IN-TERM STUDIES |
NUMBER |
PERCENTAGE |
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Mid-terms |
2 |
50 |
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Homework |
7 |
10 |
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Final |
1 | 40 |
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Total |
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100 |
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CONTRIBUTION OF FINAL EXAMINATION TO OVERALL GRADE |
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40 |
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CONTRIBUTION OF IN-TERM STUDIES TO OVERALL GRADE |
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60 |
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Total |
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100 |
Course’s Contribution to Program
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No |
Program Learning Outcomes |
Contribution |
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1 |
2 |
3 |
4 |
5 |
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1 |
gains the ability to apply the knowledge in physics and mathematics |
X |
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2 |
gains the ability to construct an experimental setup, perform the experiment, analyze and interpret the results |
X |
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3 |
is supposed to have the education required for the measurements in scientific and technological areas |
X |
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4 |
is able to work in an interdisciplinary team |
X |
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5 |
is able to identify, formulate and solve physics problems |
X |
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6 |
is conscious for the professional and ethical responsibility |
X |
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7 |
is able to communicate actively and effectively |
X |
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8 |
is supposed to have the required education for the industrial applications and the social contributions of physics |
X |
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9 |
is conscious about the necessity of lifelong education and can implement it |
X |
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10 |
is supposed to be aware of the current investigations and developments in the field |
X |
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11 |
can make use of the techniques and the modern equipment required for physical applications |
X |
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ECTS
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Activities |
Quantity |
Duration |
Total |
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Course Duration (Including the exam week: 14x Total course hours) |
14 |
3 |
42 |
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Hours for off-the-classroom study (Pre-study, practice) |
14 |
10 |
140 |
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Mid-terms |
2 |
2 |
4 |
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Homework |
4 |
10 |
40 |
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Final examination |
1 |
3 |
3 |
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Total Work Load |
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Total Work Load / 25 (h) |
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229 |
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ECTS Credit of the Course |
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9,16 |
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ECTS Credit of the Course |
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9 |