Multivariable Calculus : From theory to Practice in HINDI
No prior calculus experience needed, just a curious mind and a willingness to learn.
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What You Will Learn!
- Understanding the Fundamentals
- Partial differentiation
- Directional derivatives and the gradient
- Limits of Multivariable functions
- Continuity of Multivariable functions
- Local Maximum, Local Minimum and Critical Points in Multivariable functions
- Second order Partial Derivative and hessian matrix of a Multivariable function
Description
This course is designed for anyone who wants to demystify multivariable calculus and gain a solid foundation in this essential mathematical tool. Whether you're a student pursuing a STEM degree, an individual seeking to enhance your quantitative skills, or simply someone with a passion for mathematics, this course welcomes you on a guided journey through the captivating world of multivariable calculus.
No prior calculus experience is necessary! We'll start with the basics, building your understanding step-by-step. Through interactive lectures, engaging exercises, and clear explanations, you'll gain a comprehensive grasp of key concepts such as:
Introduction to multivariable functions: Learn how to represent and work with functions that take multiple inputs.
Arithmetic operations: Master performing basic operations like addition, subtraction, and multiplication on multivariable functions.
Partial derivatives: Understand how to differentiate multivariable functions with respect to each variable individually.
Directional derivatives: Explore how a function changes in different directions and discover the concept of directional derivatives.
Limits and continuity: Delve into the crucial concepts of limits and continuity for multivariable functions.
Gradient and steepest ascent/descent: Learn about the gradient, a powerful tool that helps us understand the direction of a function's steepest change.
Tangents and tangent planes: Visualize and understand the concept of tangents and tangent planes for multivariable functions.
Optimization: Discover how to find the maximum and minimum values of multivariable functions, a valuable skill in various applications.
Second-order partial derivatives and Hessian matrix: Explore more advanced concepts like second-order partial derivatives and the Hessian matrix, used to analyze critical points and function behavior.
By the end of this course, you'll be equipped with the knowledge and skills to:
Confidently work with multivariable functions.
Apply your understanding to solve real-world problems in various fields.
Develop a strong foundation for further exploration of advanced mathematics and its applications.
Join us on this exciting journey and unlock the power of multivariable calculus!
Who Should Attend!
- Students pursuing STEM degrees
- Individuals seeking careers in quantitative fields
- Learners with a strong foundation in calculus
- Individuals with a passion for mathematics