TTC Video – Understanding Multi-Variable Calculus

Understanding Multivariable CalculusAward: Learn about Problems, Solutions, And Tips-The University of Florida’s Professor Bruce H. Edwards won the award. He brings together the fundamental concepts of calculus in a deeper and more powerful manner.
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TTC Video – Understanding Multi-Variable Calculus

Calculating volume of odd can be done in a variety of ways-We depend on three-dimensional calculus to shape objects, predict the outcome of large numbers of trials in statistics, and even forecast the weather. Once we understand the basics of multivariable calculation, we can see how these concepts lead to new laws, whole new fields of Physics, and new ways of approaching once again.-impossible problems.

 Multivariable calculus allows us to ge

• Optimization tools that can take into account as many variables and factors as necessary;
• These vector fields give us an insight into the workings fluids from hydraulic pistons to ocean currents or weather.
• We now have new coordinate systems that can be used to solve integrals not easily solved in Cartesian coordinates.
• Mathematical definitions of surfaces and planes in space are the basis of many fields of mathematics, including topology and differential geometry.

 Understanding Multivariable CalculusAward: Learn about Problems, Solutions, And Tips-The University of Florida’s Professor Bruce H. Edwards won the award, which brings together the fundamental concepts of calculus in a deeper and more powerful manner. For professionals and students, this course will help them to increase their quantitative knowledge.-Teachers, retired professionals, and everyone else interested in understanding the extraordinary applications of 3 are invited to participate intellectually.-D calculus.

 This book is intended for people who know basic calculus. Understanding Multivariable Calculus It is not necessary to be familiar with the following, but it does allow you to follow. Calculus II. These are the few topics that were introduced in Calculus II that does carry over, such vector calculus is briefly reintroduced here, with a new emphasis placed on three dimensions.

 Throughout the 36 lectures, your main focus will be on enhancing and generalizing fundamental tools for integration and differentiation to functions involving more than one variable. Under the expert guidance of Professor Edwards, you’ll embark on an exhilarating journey through the concepts of multivariable calculus, enlivened with real-Calculus is now possible with beautiful animated graphics and world examples.-Dimensional world.

 Old Problems Reviewed from a New Perspective

 How can you integrate over a particular region? xy plane that can’t be defined by just one standard y = F(x) function? Multivariable calculus has many hidden gems, including the answers to many of these questions. In Understanding Multivariable CalculusProfessor Edwards reveals powerful new tools in each lecture to solve difficult problems in just a few steps. He turns complex integrals into simple ones and gives exact answers that even calculators cannot.

 You will be able use these tools to

• Use double or triple integrals to directly integrate volumes with surface areas.
• You can define easily differentiateable parametric equations of a function using vectors.
• To evaluate double- and triple integrals that are not easy to solve in standard Cartesian coordinates, you can use polar, cylindrical and spherical coordinates.

 These new techniques are explained by Professor Edwards with clarity and enthusiasm that makes even the most difficult material understandable and fun. With animated graphics featuring state-Of-The-Art software that brings you three-This course will bring dimensional surfaces and volumes alive, as well an accompanying illustrated book. It will allow anyone with an interest in math to gain a better understanding of one of the most important mathematical achievements of all time.

 About Your Professor

 Dr. Bruce H. Edwards, Professor of Mathematics, University of Florida. Dartmouth College gave him his Ph.D. He has received numerous Teacher-of-the Year awards, as well as awards for his contribution to mathematics education for Florida.