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Updated in [October 18th, 2023]

What does this course tell? (Please note that the following overview content is from the original platform) In this course you will learn the most difficult topics of Multivariable Calculus in a clear intuitive and [easy to digest] way Master Multivariable Calculus (Multivariate Calculus)In this course you will learn…How to differentiate a Multivariable functionHow to find the minima and maxima of a Multivariable functionHow to use Lagrange MultiplierHow to solve Multiple Integral problemsWhat are JacobiansHow to apply Multivariable Calculus to real life problemsMultivariable Calculus is an extension of the Calculus that you studied during your High School days to functions of several variables Multivariable Calculus has far reaching applications in Physics Engineering and advanced Computer Science So if you are planning to make a career in a science you are very much likely to encounter Multivariable Calculus at least once in your life The best part about learning Multivariable Calculus that hot career fields like Data Science require sound knowledge of advanced mathematics Throughout this course I have tried my best to provide clear and intuitive understanding of the concepts though video lectures Each and every concept has been supported by a reasonable number of examples so that you get a good grasp on the concepts involved At the end of each section there are quizzes and practice tests along with solution that check the depth of your understanding and ensure that you get most out of the lecturesAfter completing this course you will able to solve the most dangerous problems of Multivariable Calculus You will able to find the volume of complicated 3D figures and much more!This course works best forEngineering Math and Physics major university studentsStudents looking for Multivariable Calculus course for Data ScienceIt can also serve the professionals looking for quick refresher of the subjectEnroll now!See you in the course We considered the value of this course from many aspects, and finally summarized it for you from two aspects: skills and knowledge, and the people who benefit from it: (Please note that our content is optimized through artificial intelligence tools and carefully reviewed by our editorial staff.) What skills and knowledge will you acquire during this course? During this course, students will acquire the following skills and knowledge in Multivariable Calculus: 1. Differentiating Multivariable Functions: Students will learn how to differentiate functions with multiple variables, including partial derivatives and gradient vectors. 2. Finding Minima and Maxima: Students will learn techniques for finding the minimum and maximum values of multivariable functions, including critical points and second derivative tests. 3. Lagrange Multiplier: Students will learn how to use Lagrange multipliers to optimize functions subject to constraints. 4. Solving Multiple Integral Problems: Students will learn how to solve multiple integral problems, including double and triple integrals, and apply them to calculate volumes, areas, and mass. 5. Understanding Jacobians: Students will learn about Jacobians, which are used to transform variables in multiple integrals and change coordinate systems. 6. Applying Multivariable Calculus to Real-Life Problems: Students will learn how to apply multivariable calculus concepts to real-life problems in physics, engineering, and computer science. By the end of the course, students will be able to solve complex problems in multivariable calculus, including finding volumes of complicated 3D figures. This course is suitable for engineering, math, and physics university students, as well as those pursuing a career in data science. It can also serve as a quick refresher for professionals. Who will benefit from this course? This course on Multivariable Calculus will benefit individuals in various fields and professions. 1. Science and Engineering Students: This course is particularly useful for students majoring in Engineering, Mathematics, and Physics. Multivariable Calculus is an essential subject in these disciplines, and mastering it will provide a strong foundation for further studies and research. 2. Data Science Professionals: In the field of Data Science, a solid understanding of advanced mathematics is crucial. Multivariable Calculus plays a significant role in data analysis, optimization, and modeling complex systems. This course will help data scientists enhance their mathematical skills and apply them effectively in their work. 3. Professionals in Need of a Refresher: This course can also serve as a quick refresher for professionals who have previously studied Multivariable Calculus but need to brush up on their knowledge. It provides a concise and intuitive review of the subject, allowing professionals to quickly regain their understanding. Overall, anyone interested in gaining a deep understanding of Multivariable Calculus and its applications in real-life problems will benefit from this course.

Course Syllabus

Introduction

Partial Differentiation.

Multivariable Chain Rule

Methods for finding Minimum and Maximum of a Multivariable Function.

Method #3- Lagrange Multipiers

Multiple Integration

Jacobians

Applications of Multivariable Calculus