TELEVISION

Understanding Multivariable Calculus: Problems, Solutions, and Tips

Series: Understanding Multivariable Calculus: Problems, Solutions, and Tips
4.9
(15)
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Episodes
36
Rating
TVPG
Year
2021
Language
English
Publisher
The Great Courses

About

Understanding Multivariable Calculus: Problems, Solutions, and Tips, taught by award-winning Professor Bruce H. Edwards, is the next step for students and professionals to expand their knowledge for work or study in many quantitative fields, as well as an intellectual exercise for teachers, retired professionals, and anyone else who wants to understand the amazing applications of 3-D calculus.

Related Subjects

Episodes

1 to 3 of 36

1. A Visual Introduction to 3-D Calculus

34m

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Review key concepts from basic calculus, then immediately jump into three dimensions with a brief overview of what you'll be learning. Apply distance and midpoint formulas to three-dimensional objects in your very first of many extrapolations from two-dimensional to multidimensional calculus, and observe some of the new curiosities unique to functions of more than one variable.

2. Functions of Several Variables

30m

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What makes a function "multivariable?" Begin with definitions, and then see how these new functions behave as you apply familiar concepts of minimum and maximum values. Use graphics and other tools to observe their interactions with the xy-plane, and discover how simple functions such as y=x are interpreted differently in three-dimensional space.

3. Limits, Continuity, and Partial Derivatives

30m

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Apply fundamental definitions of calculus to multivariable functions, starting with their limits. See how these limits become complicated as you approach them, no longer just from the left or right, but from any direction and along any path. Use this to derive the definition of a versatile new tool: the partial derivative.

Extended Details

  • Closed CaptionsEnglish

Artists

The Great Coursesdirector
The Great Coursesproducer
Bruce H. Edwardsactor