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Fundamentals of Continuum Physics

Master the physics of continuous systems through a mathematical approach covering solids, fluids, and transport phenomena in this comprehensive course.

Master the physics of continuous systems through a mathematical approach covering solids, fluids, and transport phenomena in this comprehensive course.

This advanced physics course combines mathematical rigor with physical intuition to explore continuum systems. Starting with vector and tensor fundamentals, students progress through motion concepts, balance laws, constitutive relations, and thermodynamics. The course uniquely unifies solid and fluid mechanics treatment, using practical demonstrations with everyday objects to illustrate complex physical concepts. While mathematically rigorous, the course maintains strong connections to physical applications throughout.

Instructors:

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Fundamentals of Continuum Physics

This course includes

10 Weeks

Of Live Classes video lessons

Advanced Level

Completion Certificate

awarded on course completion

4,174

What you'll learn

  • Master tensor algebra and its applications in physics

  • Understand the transition from discrete to continuum systems

  • Grasp concepts of geometric nonlinearity in physical systems

  • Apply balance laws and constitutive relations to physics problems

  • Develop mathematical modeling skills for continuous systems

Skills you'll gain

Continuum Mechanics
Fluid Dynamics
Tensor Analysis
Thermodynamics
Solid Mechanics
Transport Phenomena
Mathematical Physics
Engineering Physics

This course includes:

Live video

Graded assignments, exams

Access on Mobile, Tablet, Desktop

Limited Access access

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Module Description

This course provides a comprehensive introduction to continuum physics, emphasizing the mathematical foundations and physical principles. The curriculum covers essential topics including tensor algebra, discrete-to-continuum transitions, geometric nonlinearity, and fundamental physics laws. The course uniquely combines theoretical rigor with practical demonstrations, using everyday objects to illustrate complex concepts. Students learn to apply mathematical tools to understand physical phenomena in continuous systems, with applications in solid mechanics, fluid dynamics, and transport processes.

Fee Structure

Instructor

Distinguished Computational Scientist and Interdisciplinary Scholar

Krishna Garikipati stands as a pioneering figure in computational science, serving as Professor of Mechanical Engineering and Mathematics at the University of Michigan since 2000, before his recent transition to USC as Professor of Aerospace and Mechanical Engineering in 2024. After earning his PhD from Stanford University in 1996, he has built an extraordinary career spanning computational physics, biophysics, and materials science. His research encompasses mathematical biology, tumor growth modeling, cell mechanics, and materials physics, with particular focus on battery materials and structural alloys. As former Director of the Michigan Institute for Computational Discovery & Engineering (2016-2022), his impact is evidenced by numerous prestigious recognitions including the DOE Early Career Award, Presidential Early Career Award for Scientists and Engineers (PECASE), and a Humboldt Research Fellowship. His scholarly influence extends through fellowships in the US Association for Computational Mechanics and International Association for Computational Mechanics, while maintaining positions as a Life Member of Clare Hall at University of Cambridge and visiting scholar at the Flatiron Institute. Beyond his research, Garikipati's commitment to open science is demonstrated through his team's development of open-source computer code and algorithms, while his teaching excellence has consistently earned high evaluation scores.

Fundamentals of Continuum Physics

This course includes

10 Weeks

Of Live Classes video lessons

Advanced Level

Completion Certificate

awarded on course completion

4,174

Testimonials

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Frequently asked questions

Below are some of the most commonly asked questions about this course. We aim to provide clear and concise answers to help you better understand the course content, structure, and any other relevant information. If you have any additional questions or if your question is not listed here, please don't hesitate to reach out to our support team for further assistance.