Physics I
ysenikoglu@gsu.edu.tr
Content
Objective
The main objective of this course is to impart to students the fundamental principles of classical mechanics, the laws of kinematics and dynamics, with mathematical competence; and to develop their ability to model physical phenomena, perform vector analysis, and solve complex problems analytically using conservation law practices.
Course Content
-1. Mathematical Introduction
• Vector analysis (Scalar/dot and vector/cross products)
• Cartesian and cylindrical coordinate systems
• Applications of differential and integral calculus
• Differential equations (Fundamental level for mechanics)
2. Kinematics
• Motion in one dimension (Position, velocity, and acceleration vectors)
• Motion in two and three dimensions (Projectile motion)
• Uniform circular motion
3. Dynamics
• Concept of force and free-body diagrams
• Newton's Laws of Motion
• Friction force and dynamics of circular motion (Centripetal force)
4. Kinetics (Work and Energy)
• Work-Kinetic Energy Theorem
• Conservative and non-conservative forces
• Potential energy
• Conservation of mechanical energy
5. Linear Momentum and Collisions
• Center of mass (Transition from point particles to rigid bodies)
• Linear momentum and Impulse
• Conservation of linear momentum
• Elastic and inelastic collisions
6. Rotational Kinematics and Dynamics
• Rotational kinematics of rigid bodies
• Moment of inertia and rotational kinetic energy
• Torque and Newton's 2nd Law for rotational motion
• Angular Momentum and its conservation
• Rolling motion (Combination of translation and rotation)
7. Oscillations and Simple Harmonic Motion (SHM)
• Hooke's Law and restoring force
• Kinematic equations of SHM (Time dependence of position, velocity, and acceleration)
• Energy transformations and conservation in SHM
• Applications: Simple pendulum and physical pendulum
• Introduction to damped and driven oscillations, Resonance
Weekly Contents
| Week | Weekly Contents |
|---|---|
| 1 | Basic notions, Mathematics, Physics and Measurements |
| 2 | Vectors |
| 3 | 1 Dimensional Motion |
| 4 | 2 Dimensional Motion |
| 5 | Laws of Motion |
| 6 | Circular Motion and Other Applications of Newton’s Laws |
| 7 | Midterm 1 |
| 8 | Energy of a system |
| 9 | Conservation of Energy |
| 10 | The Law of Gravitation |
| 11 | Midterm 2 |
| 12 | Linear Momentum and Collision of 2 Bodies |
| 13 | Rotation of a rigid object about a fixed axis |
| 14 | Angular Momentum |
| Week | Weekly Contents |
|---|---|
| 1 | Basic notions, Mathematics, Physics and Measurements |
| 2 | Vectors |
| 3 | 1 Dimensional Motion |
| 4 | 2 Dimensional Motion |
| 5 | Laws of Motion |
| 6 | Circular Motion and Other Applications of Newton’s Laws |
| 7 | Midterm 1 |
| 8 | Energy of a system |
| 9 | Conservation of Energy |
| 10 | The Law of Gravitation |
| 11 | Midterm 2 |
| 12 | Linear Momentum and Collision of 2 Bodies |
| 13 | Rotation of a rigid object about a fixed axis |
| 14 | Angular Momentum |
Assessment System
| Activities | Number | Contribution |
|---|---|---|
| Contribution of in-term studies to overall grade | 5 | 60 |
| Contribution of final exam to overall grade | 1 | 40 |
| Total | 6 | 100 |
| Activities | Number | Contribution |
|---|---|---|
| Assignments | 4 | 20 |
| Presentation | 0 | 0 |
| Midterm Examinations (including preparation) | 1 | 40 |
| Project | 0 | 0 |
| Laboratory | 0 | 0 |
| Other Applications | 0 | 0 |
| Quiz | 0 | 0 |
| Term Paper/ Project | 0 | 0 |
| Portfolio Study | 0 | 0 |
| Reports | 0 | 0 |
| Learning Diary | 0 | 0 |
| Thesis/ Project | 0 | 0 |
| Seminar | 0 | 0 |
| Other | 0 | 0 |
| Make-up | 0 | 0 |
| Total | 5 | 60 |
Relation of Proficiency
| No | Program Learning Outcomes | Contribution | ||||
|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | ||
| 1 | understands principles of deductive reasoning; has experience to verify well-foundedness and exactness of mathematical statements in systematic ways; | X | ||||
| 2 | can properly state and use concepts and results of major mathematical interest; | X | ||||
| 3 | masters current computational techniques and algorithms; has a good ability in their use; can identify relevant tools, among those one has learned, suitable to solve a problem and is able to judge whether or not one is in possession of these tools; | X | ||||
| 4 | is able to express one’s mathematical ideas in an organised way both in written and oral forms; | X | ||||
| 5 | understands relations connecting substantial concepts and results; can switch from one viewpoint to another on mathematical objects (pictures, formulae, precise statements, heuristic trials, list of examples,...); | X | ||||
| 6 | has followed individually a guided learning strategy; has pursued steps toward the resolution of unfamiliar problems; | X | ||||
| 7 | has a theoretical and practical knowledge in computer science well adapted for learning a programming language; | X | ||||
| 8 | has investigated the relevance of modeling and using mathematical tools in natural sciences and in the professional life; is conscious about historical development of mathematical notions; | X | ||||
| 9 | has followed introduction to some mathematical or non-mathematical disciplines after one’s proper choice; had experience to learn selected subjects according to one’s proper arrangement; | X | ||||
| 10 | masters French language as well as other foreign languages, to a level sufficient to study or work abroad. | X | ||||
ECTS
| Activities | Number | Period | Total Workload |
|---|---|---|---|
| Class Hours | 14 | 3 | 42 |
| Working Hours out of Class | 14 | 1 | 14 |
| Midterm Examinations (including preparation) | 2 | 20 | 40 |
| Final Examinations (including preparation) | 1 | 20 | 20 |
| Total Workload | 116 | ||
| Total Workload / 25 | 4.64 | ||
| Credits ECTS | 5 | ||