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YouTube

Calculus 3 - Vol 1

via YouTube

Overview

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Dive into a comprehensive 90-minute tutorial covering essential topics in Calculus 3. Master the Distance Formula in 3D Cartesian Coordinates, explore vectors and their operations including dot and cross products, and delve into vector-valued functions. Gain proficiency in multivariable functions, partial derivatives, and the chain rule for partial derivatives. Understand directional derivatives and gradients, and conclude with an in-depth look at double integrals in both Cartesian and polar coordinates. Enhance your mathematical skills with this thorough exploration of advanced calculus concepts.

Syllabus

01 - Learn the Distance Formula - 3D Cartesian Coordinates (Calculus 3 Tutor).
Lesson 2 - Intro To Vectors (Calculus 3 Tutor).
Lesson 3 - The Vector Dot Product (Calculus 3 Tutor).
Lesson 4 - The Vector Cross Product (Calculus 3 Tutor).
Lesson 5 - Vector Valued Functions (Calculus 3 Tutor).
Lesson 6 - Multivariable Functions And Partial Derivatives (Calculus 3).
Lesson 7 - Chain Rule For Partial Derivatives (Calculus 3 Tutor).
Lesson 8 - The Directional Derivative (Calculus 3 Tutor).
Lesson 9 - The Gradient (Calculus 3 Tutor).
Lesson 10 - Double Integrals (Calculus 3 Tutor).
Lesson 11 - Double Integrals In Polar Coordinates (Calculus 3 Tutor).

Taught by

mathandscience

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