This university program in Classic Mechanics will lead you to acquire a solid learning in this field, which will allow you to grow as an engineering professional"

The application of classical mechanics in our days are the result of the great work done by Isaac Newton and the mathematical models created by Leibniz, Lagrange or Euler, among other scientists. Thanks to them, accurate results are obtained in the study of the behavior of physical bodies at rest and at speeds below the speed of light.  

In the field of engineering, mastering all these concepts, their fundamentals and the resolution of different problems by applying physics are essential in the planning, design and development of any machinery in the industrial or automotive sector. That is why this academic institution has created this Postgraduate certificate in Classic Mechanics, which provides the graduates with an advanced and intensive learning, which will lead him to prosper as firm steps in his professional career.  

A program with a clear theoretical approach, but at the same time practical, which will take students for 6 weeks to deepen in kinematics and dynamics, Lagrangian and Hamiltonian formalisms or analytical mechanics. For this purpose, there are video summaries of each topic, detailed videos, case studies or complementary readings that can be accessed from any electronic device with an Internet connection.  

In addition, thanks to the Relearning method, used by TECH in all its programs, students will advance in a much more natural and progressive way through a syllabus that will lead them to master the main mathematical tools of the quadrivectors. In addition, this system will even allow them to reduce the long hours of study that are so frequent in other teaching methods. 

Thus, the professionals are facing an excellent opportunity to study a university program taught exclusively online, which can be accessed comfortably whenever and wherever you want. You only need a computer, tablet or cell phone with Internet connection to consult the syllabus hosted on the Virtual Campus. In addition, you have the freedom to distribute the 300 teaching hours of this Postgraduate certificate according to your needs.   

You are facing an ideal academic option for those who wish to pursue a quality university program that is compatible with their personal responsibilities"

This Postgraduate certificate in Classic Mechanics contains the most complete and up-to-date program on the market. The most important features include:

• Practical case studies are presented by experts in Physics 
• Graphic, schematic, and practical contents with which they are created, provide scientific and practical information on the disciplines that are essential for professional practice
• Practical exercises where self-assessment can be used to improve learning
• Its special emphasis on innovative methodologies  
• Theoretical lessons, questions to the expert, debate forums on controversial topics, and individual reflection assignments 
• Content that is accessible from any fixed or portable device with an Internet connection

You have at your disposal 24 hours a day a library of multimedia resources that you can access comfortably from your computer or tablet with Internet connection"

The program’s teaching staff includes professionals from the sector who contribute their work experience to this educational program, as well as renowned specialists from leading societies and prestigious universities.  

Its multimedia content, developed with the latest educational technology, will provide the professionals with situated and contextual learning, i.e., a simulated environment that will provide an immersive education programmed to learn in real situations.  

The design of this program focuses on Problem-Based Learning, by means of which the professionals must try to solve the different professional practice situations that are presented throughout the academic course. For this purpose, the students will be assisted by an innovative interactive video system created by renowned experts.

This Postgraduate certificate shows you a theoretical and practical approach to Classic Mechanics, to advance your professional career"

Delve into particle systems and simple and coupled oscillators with this 100% online program"

Students who take this university course have at their disposal 24 hours a day, a library of multimedia resources (video summaries, videos in detail, specialized readings), which will lead them to delve into the main concepts of Classic Mechanics. In this way you will be able to delve into kinematics, formulations and problem solving through case studies developed by the teaching team that integrates this 100% online program. 

A program of studies with which you will obtain the advanced knowledge you need in Classic Mechanics to advance in your professional career in the field of Engineering"

Module 1. Classical Mechanics I

1.1. Kinematics and Dynamics: Review 

1.1.1. Newton’s Law  
1.1.2. Reference Systems 
1.1.3. Motion Equation of Particles 
1.1.4. Conservation Theorems 
1.1.5. Particle System Dynamics 

1.2. More Newtonian Mechanics 

1.2.1. Conservation Theorems for Particle Systems 
1.2.2. Universal Gravity Law 
1.2.3. Force Lines and Equipotential Surfaces 
1.2.4. Limitations of Newtonian Mechanics 

1.3. Kinematics of Rotations 

1.3.1. Fundamentals of Mathematics 
1.3.2. Infinitesimal Rotations 
1.3.3. Angular Velocity and Acceleration 
1.3.4. Rotational Reference Systems 
1.3.5. Coriolis Force 

1.4. Rigid Solid Study 

1.4.1. Rigid Solid Kinematics 
1.4.2. Inertia Tensor of Rigid Solids 
1.4.3. Main Inertia Axes
1.4.4. Steiner and Perpendicular Axes Theorems 
1.4.5. Kinetic Energy of Rotation 
1.4.6. Angular Momentum 

1.5. Symmetries and Conservation Laws 

1.5.1. Conservation Theorem of Linear Momentum 
1.5.2. Conservation Theorem of Angular Momentum 
1.5.3. Energy Conservation Theorem 
1.5.4. Classical Mechanic Symmetries: Galileo Group 

1.6. Coordinate Systems: Euler Angles 

1.6.1. Coordinate Systems and Changes 
1.6.2. Euler Angles 
1.6.3. Euler Equations 
1.6.4. Stability Around a Major Axis 

1.7. Rigid Solid Dynamics Applications 

1.7.1. Spherical Pendulum 
1.7.2. Free Symmetrical Top Movement 
1.7.3. Symmetrical Top Movement with a Fixed Point 
1.7.4. Gyroscopic Effect 

1.8. Movement Under Central Forces 

1.8.1. Introduction to Central Force Fields 
1.8.2. Reduced Mass 
1.8.3. Trajectory Equation 
1.8.4. Central Field Orbits 
1.8.5. Centrifugal Energy and Effective Potential 

1.9. Kepler's Problem 

1.9.1. Planetary Motion - Kepler's Problem 
1.9.2. Approximate Solution to Kepler's Equation 
1.9.3. Kepler's Laws 
1.9.4. Bertrand's Theorem 
1.9.5. Stability and Perturbation Theory 
1.9.6. 2-Body Problem 

1.10. Collisions 

1.10.1. Elastic and Inelastic Shocks: Introduction 
1.10.2. Center of Mass Coordinate System 
1.10.3. Laboratory Coordinate System 
1.10.4. Elastic Shock Kinematics 
1.10.5. Particle Dispersion - Rutherford's Dispersion Formula 
1.10.6. Effective Section

Module 2. Classical Mechanics II

2.1. Oscillations 

2.1.1. Simple Harmonic Oscillator 
2.1.2. Damped Oscillator 
2.1.3. Forced Oscillator 
2.1.4. Fourier Series 
2.1.5. Green's Function 
2.1.6. Non-Linear Oscillators 

2.2. Coupled Oscillations I 

2.2.1. Introduction 
2.2.2. Coupling of Two Harmonic Oscillators 
2.2.3. Normal Trends 
2.2.4. Weak Coupling 
2.2.5. Forced Vibrations of Coupled Oscillators 

2.3. Coupled Oscillations II 

2.3.1. General Theory of Coupled Oscillations 
2.3.2. Normal Coordinates 
2.3.3. Multiple Oscillator Coupling. Continuous Boundary and Vibrating Wire 
2.3.4. Wave Equation 

2.4. Special Relativity Theory 

2.4.1. Inertial Reference Systems  
2.4.2. Galileo’s Invariance 
2.4.3. Lorentz Transformations 
2.4.2. Relative Velocities 
2.4.5. Linear Relativistic Momentum 
2.4.6. Relativistic Invariants 

2.5. Tensor Formalism of Special Relativity 

2.5.1. Quadrivectors 
2.5.2. Quadrimomentum and Quadriposition 
2.5.3. Relativistic Energy 
2.5.4. Relativistic Forces 
2.5.5. Relativistic Particle Collisions 
2.5.6. Particle Disintegrations 

2.6. Introduction to Analytical Mechanics 

2.6.1. Links and Generalized Coordinates 
2.6.2. Mathematical Tools: Variance Calculation 
2.6.3. Definition of Action 
2.6.4. Hamilton Principle: Extreme Action 

2.7. Lagrangian Formulation 

2.7.1. Lagrangian Definition 
2.7.2. Variance Calculation 
2.7.3. Euler-Lagrange Equations 
2.7.4. Conserved Quantities 
2.7.5. Extension to Non-Holonomous Systems 

2.8. Hamiltonian Formulation 

2.8.1. Phasic Space 
2.8.2. Legendre Transformations: Hamiltonian 
2.8.3. Canonical Equations 
2.8.4. Conserved Quantities 

2.9. Analytical Mechanics-Extension 

2.9.1. Poisson Parentheses 
2.9.2. Lagrange Multipliers and Bond Forces 
2.9.3. Liouville Theorem 
2.9.4. Virial Theorem 

2.10. Analytical Relativistic Mechanics and Classical Field Theory 

2.10.1. Charge Movement in Electromagnetic Fields 
2.10.2. Lagrangian of a Free relativistic particle 
2.10.3. Interaction Lagrangian 
2.10.4. Classical Field Theory: Introduction 
2.10.5. Classical Electrodynamics

Thanks to this program you will get up to date with the different applications of nuclear medicine”