Calculus of Variations: A Primer on the First Variation
Original price was: $129,99.$25,00Current price is: $25,00.
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Master the Calculus of Variations with Deep Comprehension
This comprehensive course offers a unique and intuitive approach to understanding the calculus of variations, going beyond mere formula application.
Key Features:
- Non-standard Introduction: Explore the subject’s core principles using Euler’s original methods, leaving the conventional approach for later.
- In-depth Explanations: Detailed derivations are presented line-by-line, ensuring a clear grasp of each step.
- Extensive Examples: Master the concepts with a wide range of classic problems and novel, unseen examples.
- Original Derivations: Gain access to the instructor’s unique derivations, alongside standard textbook material.
- Comprehensive Learning Resources: Downloadable PDF versions of each lecture or the entire course are provided.
- Dedication to Understanding: This course prioritizes comprehension over rote memorization.
Course Prerequisites:
- Basic Calculus: Familiarity with differentiation, integration, and associated rules (product rule, chain rule, integration by parts).
- Problem-solving Persistence: A willingness to tackle challenges and ask for help when needed.
Who Should Download ?
- Learners seeking a deeper understanding of the calculus of variations, regardless of prior knowledge.
- Individuals struggling with traditional explanations of the subject.
Course Benefits:
- Solid Foundation: Develop a thorough grounding in the first variation of the calculus of variations.
- Enhanced Visualization: Utilize graphical calculator simulations to solidify comprehension.
- Unique Geometric Approach: Gain a fresh perspective through an intuitive geometric introduction (not found elsewhere).
- Master Euler-Lagrange: Explore in-depth derivations of the Euler-Lagrange equation, both geometrically and analytically.
- Advanced Applications: Delve into the derivation and simulation of double pendulums.
Investment in Yourself:
While not an easy course, the time dedicated will yield significant rewards. Develop valuable problem-solving skills and mathematical insights not readily available elsewhere. Practice recreating derivations and internalize concepts through everyday activities. Remember, the instructor is readily available to assist you on your learning journey.
Download today and unlock a deeper understanding of the calculus of variations!
8 reviews for Calculus of Variations: A Primer on the First Variation
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Paul K. –
I enjoy the physical/geometric example to explain the logic of calculus of variations. This approach will make it more clear to understand.
Mira S. –
This course has been a wonderful introduction to the calculus of variations! Ross has taught it in a very straightforward way with so many examples to help you. I admittedly never expected to get much from an online course but I was totally proven wrong here. I’d recommend this course many times over, especially for fellow physics majors!
Vinod B. –
The course was great and well taught. Thank you.
Jakub K. –
Because everything is explained in detail it allows one to focus on the areas that aren’t understood well and fast-track through ones that are. Well made and comprehensive
Vladimir R. –
Good pace and clear explanations!
Kresimir D. –
Finally some course which depicts the smallest details instead of ‘generalized conclusion’ out of black box. Precise and easy to follow.
Videos are filled with manualy transcribing algebra equations. I feel like I am finaly watching TV from the front and not from above.
THANK YOU for these courses.
David C. –
I took this course after checking the introduction and seeing it using the Fox book on Calculus of Variations, which was my intention as well. I hoped this course will be a support to my study, but it offered more.
The lecturer go through the Fox book, but also provide his proof for the solutions. He also details many of the problems inside the book.
So this course in my belief is an excellent introduction to the topic. Stands on its own but really good support study material as well.
To better asses my review: When I attended this course I have a good grasp of first order differential equations and vector analysis. Many of the book I utilized my vector analysis knowledge. It helped me a lot, but the course establish it’s on algebra on functional analysis and I found it sufficient to follow the proofs.
David W. –
An excellent course! Really helped me overcome difficulties I had learning this subject.