Postgraduate certificate Mathematical Methods in Physics

In recent decades there has been a strong momentum of quantum technologies with applications in different industries and with a direct translation to everyday life. This has led to a revolution, which is expected to continue with a broad development in the coming years. For this reason, companies are increasingly demanding highly qualified profiles with solid knowledge in mathematical methods applied to this branch of physics. In view of this reality, this 100% online program is born, which provides students with the most exhaustive knowledge about pre-Hilbertian spaces, metric spaces or representations and particle physics. For this purpose, students will have access to multimedia pills 24 hours a day from any computer with an Internet connection.

University certificate

duration

6 weeks

Modality

Online

Schedule

At your own pace

Exams

Online

start date

Credits

6 ECTS

financing up to

3 months

Price(first year)

See price

The world's largest faculty of engineering”

Introduction to the Program

Click and enroll in a 100% online Postgraduate certificate that provides you with the most comprehensive knowledge on Mathematical Methods and their applications"

Undoubtedly, quantum physics, its technological development and application in everyday life makes its study and understanding of great interest for specialists who want to enter this field with an unbeatable future projection. However, before being able to translate these theoretical concepts into practice, it is necessary to have a clear mastery of mathematical methods.

Thus, it is essential for the professionals to be able to understand the mathematical properties of a physical entity, in order to be able to correctly perform any calculation of quantum physics, particle physics or related to relativity. That is why TECH has created this Postgraduate certificate in Mathematical Methods taught exclusively online and where in just 6 weeks students will acquire the essential learning they need to thrive in their professional field.

A program, where through video summaries, videos in detail, complementary readings or case studies, the student can delve into the pre-Hilbertian spaces, the topology of metric spaces, the Herbartian basis or linear operations. In addition, thanks to the Relearning system, students will be able to advance in a more natural way through a syllabus, which will lead them to dive into the Stumr-Liouville Theory, group theory and its application to physics.

This academic institution thus offers an excellent opportunity to pursue a flexible university program, which can be accessed comfortably, whenever and wherever you want. Students only need a computer, tablet or cell phone with Internet connection to be able to view the content of this program at any time. An ideal option for those seeking to combine quality education with their professional and/or personal responsibilities.

Thanks to the multimedia pills, you will learn the main mathematical formulations in a much simpler and more agile way"

This Postgraduate certificate in Mathematical Methods in Physics 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

An ideal Postgraduate Certificate for those who wish to combine their personal responsibilities with an education that is at the forefront of academia"

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 100% online university program will take you in just 6 weeks to get into the most important theorems to solve the Sturm-Liouville theory"

Click and enroll in a Postgraduate certificate that will allow you to master the main Mathematical Methods in Physics necessary to get a foothold in the field of quantum physics"

Syllabus

The effectiveness of the Relearning System has led TECH to use it in all its qualifications. Thus, thanks to this method, the students who study this university program will learn vector spaces, metric spaces, group theory or representations in a much more agile way. In addition, it will reduce the long hours of study that are so frequent in other courses. These advantages will make it much easier to overcome and achieve success with this Postgraduate certificate in Mathematical Methods.

A syllabus with a theoretical-practical approach that you can access 24 hours a day from any electronic device with an Internet connection. Enroll now”

Module 1. Mathematical methods

1.1. Prehibertian Spaces

1.1.1. Vector Spaces
1.1.2. Positive Hermitian Scalar Product
1.1.3. Single Vector Module
1.1.4. Schwartz Inequality
1.1.5. Minkowsky Inequality
1.1.6. Orthogonality
1.1.7. Dirac Notation

1.2. Topology of Metric Spaces

1.2.1. Definition of Distance
1.2.2. Definition of Metric Space
1.2.3. Elements of Topology of Metric Spaces
1.2.4. Convergent Successions
1.2.5. Cauchy Successions
1.2.6. Complete Metricl Space

1.3. Hilbert Spaces

1.3.1. Hilbert Spaces: Definition
1.3.2. Herbatian Base
1.3.3. Schrödinger versus Heisenberg. Lebesgue Integral
1.3.4. Continuous Frames of a HIlbert Space
1.3.5. Change of Basis Matrix

1.4. Linear Operations

1.4.1. Linear Operators: Basic Concepts
1.4.2. Inverse Operator
1.4.3. Adjoint Operator
1.4.4. Self-Adjoint Operator
1.4.5. Positive Definite Operator
1.4.6. Unitary Operator I Change of Basis
1.4.7. Antiunitary Operator
1.4.8. Projector

1.5. Stumr-Liouville Theory

1.5.1. Eigenvalue Theorem
1.5.2. Eigenvector Theorem
1.5.3. Sturm-Liouville Problem
1.5.4. Important Theorems for Sturm-Liouville Theory

1.6. Introduction to Group Theory

1.6.1. Definition of Group and Characteristics
1.6.2. Symmetries
1.6.3. Study of SO(3), SU(2) and SU(N) Groups
1.6.4. Lie Algebra
1.6.5. Groups of Quantum Physics

1.7. Introduction to Representations

1.7.1. Definitions
1.7.2. Fundamental Representation
1.7.3. Adjoint Representation
1.7.4. Unitary Representation
1.7.5. Product of Representation
1.7.6. Young Tables
1.7.7. Okubo Theorems
1.7.8. Applications to Particle Physics

1.8. Introduction to Tensors

1.8.1. Definition of Covariant and Contravariant Tensors
1.8.2. Kronecker Delta
1.8.3. Levi-Civita Tensor
1.8.4. Study of SO(N) i SO(3)
1.8.5. Study of SO(N)
1.8.6. Relation between Tensors and Representations

1.9. Group Theory Applied to Physics

1.9.1. Translation Group
1.9.2. Lorentz Group
1.9.3. Discrete Groups
1.9.4. Continuous Groups

1.10. Representations and Particle Physics

1.10.1. Representations of SU(N) Groups
1.10.2. Fundamental Representations
1.10.3. Multiplication of Representations
1.10.4. Okubo Theorem and Eightfold Ways

With this 100% online program you can easily master particle physics and representations"

Postgraduate Certificate in Mathematical Methods in Physics

Name: Mathematical Methods in Physics
Availability: InStock

If you are passionate about the world of physics and want to improve your skills in this field, the Postgraduate Certificate in Mathematical Methods in Physics is the perfect choice for you. This program gives you the opportunity to deepen your knowledge of the mathematical methods used in physics, which will allow you to understand the fundamentals of this science and apply them in practical situations. Throughout the course, you will learn about differential and integral calculus, differential equations, linear algebra and more.

One of the major benefits of this course is that it will allow you to improve your skills in solving complex problems in physics. You will be able to apply the acquired knowledge in practical situations, such as designing physical systems, predicting the behavior of physical systems and interpreting physical phenomena. In addition, you will be able to apply this knowledge in any business sector that requires complex problem solving skills. If you are looking to broaden your skills in physics and enhance your career possibilities, the Postgraduate Certificate in Mathematical Methods in Physics is the perfect choice for you.

Postgraduate Certificate in Mathematical Methods in Physics

The Postgraduate Certificate in Mathematical Methods in Physics gives you a unique opportunity to improve your skills and knowledge in the world of physics. Through this program, you will be able to deepen your knowledge of the mathematical methods used in physics, which will allow you to understand the fundamentals of this science and apply them in practical situations. In addition, you will be able to apply this knowledge in any business sector that requires skills in solving complex problems.

Another benefit of this course is that it will allow you to improve your career prospects. You will be able to apply the knowledge acquired in practical situations, which will allow you to solve complex problems more efficiently. In addition, you will acquire skills that you will be able to apply in any business sector that requires complex problem solving skills, which broadens your career possibilities. In short, if you are looking for a way to improve your physics skills and boost your career in business, the Postgraduate Certificate in Mathematical Methods in Physics is the perfect option for you. Don't miss this unique opportunity to improve your physics skills and knowledge!