logistic_guy
Full Member
- Joined
- Apr 17, 2024
- Messages
- 674
This is my plan in this forum from now and on. I will post some problems (questions) at once, usually \(\displaystyle 10\), I have never solved before. At the beginning, you will see no attempt there, but anyone can feel free to give anything in his/her mind from suggestions and hints to attack the problem. From time to time, you will see my strategy as an engineer on how to attack these problems, so my attempt will eventually be there in each post. I will try to show my solution in details so that everyone can benefit from it. If I get stuck in any part of the problems, you will be notified that I need help in that part. You can give me a hint to continue my solution, if I did not get any, I would eventually look it up by myself and continue. I might consider not posting more than the \(\displaystyle 10\) posts that I would have already posted until I would fully attack, understand, and get their solution. I will try my best to organize my posts so that each post will be put in the right section.
The difficulty of the problems will vary from the kindergarten level to the professor level. But most of them will be in the average level that any college student in a specific field will be able to solve them.
For now the problems will be in these topics (from time to time new topics will be added to the list):
01. Physics
02. Calculus
03. Prealgebra
04. Algebra
05. Linear Algebra
06. Abstract Algebra
07. Number Theory
08. Discrete Mathematics
09. Differential Geometry
10. Differential Equations (ordinary)
11. Partial Differential Equations
12. Green Function
13. Data Network
14. Data Structure
15. Probability and Statistics
16. Computer Security
17. Geometry
18. Accounting and Finance
19. Networking (IPs)
20. Chemistry
21. Communication Systems
22. Complex Analysis
23. Computer Architecture
24. Control Systems
25. Cryptography
26. Digital Logic
27. Boolean Algebra
28. Digital Signal Processing
29. Electric Circuits
30. Electronic Circuits
31. Embedded Systems
32. Fluid Mechanics
33. Heat and Mass Transfer
34. C How to Program
35. C++ How to Program
36. Java How to Program
37. Mechanics of Materials
38. Microprocessors
39. Signals and Systems
40. Wireless Communication
41. Operating Systems
Each topic in the list above will include many different topics (sub topics). This mean some of the subtopics may overlap in two or more main topics.
For example, Physics will include the subtopics:
01. Measurement and Estimating
02. Kinematics in One Dimension
03. Kinematics in Two Dimensions
04. Dynamics
05. Applications of Newton's Laws
06. Gravitation and Newton's Synthesis
07. Work and Energy
08. Conservation of Energy
09. Linear Momentum and Collisions
10. Rotational Motion about a Fixed Axis
11. General Rotation
12. Static Equilibrium
13. Fluids
14. Oscillations
15. Wave Motion
16. Sound
17. Temperature, Thermal Expansion, and Ideal Gas Law
18. Kinetic Theory of Gases
19. Heat and the First Law of Thermodynamics
20. Second Law of Thermodynamics
21. Electric Charge and Electric Fields
22. Gauss's Law
23. Electric Potential
24. Capacitance, Dielectrics, and Electric Energy Storage
25. Electric Currents and Resistance
26. DC Circuits
27. Magnetism
28. Sources of Magnetic Field
29. Electromagnetic Induction and Faraday's Law
30. Inductance and Electromagnetic Oscillations
31. AC Circuits
32. Maxwell's Equations and Electromagnetic Waves
33. Light
34. Lenses and Optical Instruments
35. Wave Nature of Light
36. Diffraction and Polarization
37. Special Theory of Relativity
38. Early Quantum Theory and Models of the Atom
39. Quantum Mechanics
40. Quantum Mechanics of Atoms
41. Molecules and Solids
42. Nuclear Physics and Radioactivity
43. Nuclear Energy
44. Elementary Particles
45. Astrophysics and Cosmology
As you can see above, many of these subtopics of physics are also in main topics such as Electric Circuits, Fluid Mechanics, and Heat and Mass Transfer, for example. This is an advantage as a subtopic explains only the basics while the main topic explains everything in details (high level ideas).
Now imagine that if we add a new main topic to the list such that:
42. Quantum Mechanics
What will happen?
The difficulty of the problems will vary from the kindergarten level to the professor level. But most of them will be in the average level that any college student in a specific field will be able to solve them.
For now the problems will be in these topics (from time to time new topics will be added to the list):
01. Physics
02. Calculus
03. Prealgebra
04. Algebra
05. Linear Algebra
06. Abstract Algebra
07. Number Theory
08. Discrete Mathematics
09. Differential Geometry
10. Differential Equations (ordinary)
11. Partial Differential Equations
12. Green Function
13. Data Network
14. Data Structure
15. Probability and Statistics
16. Computer Security
17. Geometry
18. Accounting and Finance
19. Networking (IPs)
20. Chemistry
21. Communication Systems
22. Complex Analysis
23. Computer Architecture
24. Control Systems
25. Cryptography
26. Digital Logic
27. Boolean Algebra
28. Digital Signal Processing
29. Electric Circuits
30. Electronic Circuits
31. Embedded Systems
32. Fluid Mechanics
33. Heat and Mass Transfer
34. C How to Program
35. C++ How to Program
36. Java How to Program
37. Mechanics of Materials
38. Microprocessors
39. Signals and Systems
40. Wireless Communication
41. Operating Systems
Each topic in the list above will include many different topics (sub topics). This mean some of the subtopics may overlap in two or more main topics.
For example, Physics will include the subtopics:
01. Measurement and Estimating
02. Kinematics in One Dimension
03. Kinematics in Two Dimensions
04. Dynamics
05. Applications of Newton's Laws
06. Gravitation and Newton's Synthesis
07. Work and Energy
08. Conservation of Energy
09. Linear Momentum and Collisions
10. Rotational Motion about a Fixed Axis
11. General Rotation
12. Static Equilibrium
13. Fluids
14. Oscillations
15. Wave Motion
16. Sound
17. Temperature, Thermal Expansion, and Ideal Gas Law
18. Kinetic Theory of Gases
19. Heat and the First Law of Thermodynamics
20. Second Law of Thermodynamics
21. Electric Charge and Electric Fields
22. Gauss's Law
23. Electric Potential
24. Capacitance, Dielectrics, and Electric Energy Storage
25. Electric Currents and Resistance
26. DC Circuits
27. Magnetism
28. Sources of Magnetic Field
29. Electromagnetic Induction and Faraday's Law
30. Inductance and Electromagnetic Oscillations
31. AC Circuits
32. Maxwell's Equations and Electromagnetic Waves
33. Light
34. Lenses and Optical Instruments
35. Wave Nature of Light
36. Diffraction and Polarization
37. Special Theory of Relativity
38. Early Quantum Theory and Models of the Atom
39. Quantum Mechanics
40. Quantum Mechanics of Atoms
41. Molecules and Solids
42. Nuclear Physics and Radioactivity
43. Nuclear Energy
44. Elementary Particles
45. Astrophysics and Cosmology
As you can see above, many of these subtopics of physics are also in main topics such as Electric Circuits, Fluid Mechanics, and Heat and Mass Transfer, for example. This is an advantage as a subtopic explains only the basics while the main topic explains everything in details (high level ideas).
Now imagine that if we add a new main topic to the list such that:
42. Quantum Mechanics
What will happen?
