- Introduction
- Key points of Calculus of Variation
- Variational Problem with Moving Boundaries
- Some more advanced problem with solution on calculus
- Problems and Solutions on Calculus of variations
- Some more Advanced Problem with Solutions on Calculus of Variations
What you'll learn
- Foundations of Calculus of Variations: Understand the fundamental concepts and principles that form the basis of the Calculus of Variations
- Variational Problems and Functionals: Explore variational problems and the associated functionals, delving into the mathematical framework
- Euler-Lagrange Equation: Master the Euler-Lagrange equation, a pivotal tool in solving variational problems
- Constraint Problems: Tackle problems involving constraints, gaining insights into optimizing functionals subject to specific conditions
- Optimal Control Theory: Extend your knowledge to optimal control theory, where the calculus of variations plays a crucial role
- Isoperimetric Problems: Explore isoperimetric problems, understanding how to find curves or surfaces that enclose a given area
- Applications in Physics and Engineering: Discover real-world applications of the Calculus of Variations in physics and engineering
- Problem-Solving Techniques: Develop problem-solving skills through a variety of examples and exercises
Description
Embark on a captivating journey into the heart of mathematical optimization with our course on the "Calculus of Variations: Key Points, Problems, and Solutions." Whether you're a mathematics enthusiast, an engineering or physics student, a graduate specializing in applied mathematics, or a professional in optimization and control, this course is your gateway to mastering the essential principles of the Calculus of Variations.
Course Highlights:
Foundational Understanding: Gain a solid foundation in the fundamental concepts of the Calculus of Variations, laying the groundwork for a comprehensive exploration of advanced topics.
Practical Problem-Solving: Dive into real-world problem-solving scenarios, where you'll apply the principles of the Calculus of Variations to tackle dynamic optimization challenges commonly encountered in mathematics, physics, and engineering.
Euler-Lagrange Equation Mastery: Demystify the Euler-Lagrange equation, a key tool for finding extrema in variational problems, and become proficient in its application to a variety of mathematical scenarios.
Applications in Diverse Fields: Explore applications of the Calculus of Variations in physics, engineering, and beyond, understanding how these mathematical techniques play a crucial role in shaping optimal strategies, controls, and system behaviors.
Isoperimetric Problems: Uncover the intricacies of isoperimetric problems, where the challenge lies in finding curves or surfaces that enclose a given area or volume while optimizing certain properties.
Optimal Control Theory: Extend your knowledge to optimal control theory, gaining insights into determining optimal paths and strategies for dynamic systems in various practical situations.
Problem-Solving Techniques: Sharpen your problem-solving skills through a series of examples and exercises, equipping yourself with the tools needed to confidently approach and solve complex variational problems.
This course is not just about theory; it's a hands-on exploration of the Calculus of Variations, designed to empower learners with the skills and knowledge necessary to excel in academic pursuits and real-world applications. Enroll now and unlock the door to a deeper understanding of dynamic mathematical optimization!
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About the instructors
- 4 Calificación
- 5754 Estudiantes
- 20 Cursos
Sourav Das
Google certified Trainer, Professor, Author , Entrepreneur
12+ years experience teaching in schools, colleges, universities also in national ands international level. I have made more than 7000 videos made for online courses, 250+ study materials and books on Amazon.
I have worked with students who were complete beginners, as well as those who were facing challenges in mastering advanced topics.
I completely understand the initial struggle in decoding the concepts and formulas. I am thoroughly proficient in explaining difficult and hard to understand topics in a lucid, useful , quick and enjoying manner. You will find ample examples and examination level explanations in my videos , notes , materials and special mock tests. My classes will be your way to get rid of the intense mug up sessions and will take you to the real fun of studying.
Just like our faces we are all different in understanding concepts , ideas , concepts so in my classes too the same approach is being taken so that you always come out with flying colours and greats grades of marks . With my personal innovative teaching methods I will be making your journey towards goals a very smooth run.
Let the journey begin…