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CLASSICAL MECHANICS

Course Code: 
PHYS 204
Semester: 
Spring
Course Type: 
Core
P: 
3
Lab: 
0
Laboratuvar Saati: 
0
Credits: 
3
ECTS: 
9
Course Language: 
English
Course Objectives: 
The aim of this course is to teach basic and relatively more complicated concepts of classical mechanics by some mathematical methods and to have students learn for themselves how physics as a discipline can be used to obtain a deep understanding of how the world works.
Course Content: 

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.

Course Methodology: 
1: Lecture, 2: Question-Answer, 5: Problem Solving, 15:Homework
Course Evaluation Methods: 
A: Testing, B: Final, C: Homework

Vertical Tabs

Course Learning Outcomes

Learning Outcomes

Teaching Methods

Assessment Methods

1) Gains some detailed knowledge about mechanical problems and solves them by using some advanced mathematical tools.

1, 5, 15

A, B, C

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

Week

Topics

Study Materials

1

Matrices, vectors, vector calculus

Coordinate transformations, unit vectors, differentiation of vectors.

 

2

Newtonian mechanics

Newton’s laws, frames of reference, the equation of motion for a particle, resistive forces.

 

3

Oscillations

SHM, damped oscillations, sinusoidal driving forces, response of oscillators to impulsive forcing.

 

4

Nonlinear oscillations and chaos

Plane pendulum, chaos in a pendulum, mapping.

 

5

Gravitation

Gravitational potential, lines of force.

MIDTERM EXAM - 1

 

6

Equipotential surfaces, ocean tides.

Some methods in the calculus of variations

Euler’s equation, the  notation.

 

7

Hamilton’s principle

Generalized coordinates, Lagrange’s equations of motion, Hamiltonian dynamics.

 

8

Central-force motion

Reduced mass, conservation theorems, planetary motion, orbital dynamics.

 

9

Dynamics of a system of particles

Centre of mass, linear and angular momentum, elastic and inelastic collisions, rocket motion.

 

10

Motion in a noninertial reference frame

Rotating coordinate systems,

 

11

Centrifugal and Coriolis forces, Foucault pendulum.

MIDTERM EXAM - 2

 

12

Dynamics of rigid bodies

Inertia tensor, principal axes of inertia,

 

13

Eulerian angles, motion of the symmetric top.

 

14

Coupled oscillations

Two coupled harmonic oscillators, weak coupling, three linearly coupled plane pendula.

 
 
 

Recommended Sources

Textbook

CLASSICAL DYNAMICS OF PARTICLES AND SYSTEMS

Thornton & Marion (5th ed.)

Additional Resources

CLASSICAL MECHANICS

Greiner

 
 

Material Sharing

Documents

 

Assignments

 

Exams

 

 
 

Assessment

IN-TERM STUDIES

NUMBER

PERCENTAGE

Mid-terms

2

50

Assignment

5

10

Total

 

100

CONTRIBUTION OF FINAL EXAMINATION TO OVERALL GRADE

 

40

CONTRIBUTION OF IN-TERM STUDIES TO OVERALL GRADE

 

60

Total

 

100

 
 

Course’s Contribution to Program

No

Program Learning Outcomes

Contribution

1

2

3

4

5

 

1

gains the ability to apply the knowledge in physics and mathematics

       

X

 

2

gains the ability to construct an experimental setup, perform

the experiment, analyze and interpret the results

 

X

     

 

3

is supposed to have the education required for the measurements in scientific and technological areas 

X

       

 

4

is able to work in an interdisciplinary team

X

       

 

5

is able to identify, formulate and solve physics problems

     

X

 

 

6

is conscious for the professional and ethical responsibility

X

       

 

7

is able to communicate actively and effectively

 

X

     

 

8

is supposed to have the required education for the industrial applications and the social contributions of physics

X

       

 

9

is conscious about the necessity of lifelong education and can implement it

X

       

 

10

is supposed to be aware of the current investigations and developments in the field

X

       

 

11

can make use of the techniques and the modern equipment required for physical applications

X

       

 

 
 

ECTS

Activities

Quantity

Duration
(Hour)

Total
Workload
(Hour)

Course Duration (Including the exam week: 14x Total course hours)

14

3

42

Hours for off-the-classroom study (Pre-study, practice)

14

8

112

Mid-terms

2

3

6

Assignment

5

12

60

Final examination

1

3

3

Total Work Load

     

Total Work Load / 25 (h)

 

 

223

ECTS Credit of the Course

 

 

8.92

ECTS Credit of the Course

 

 

9