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YouTube

Calculus 3 - Vol 1

via YouTube

Overview

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This course aims to teach students the fundamentals of Calculus 3, focusing on topics such as 3D Cartesian Coordinates, vectors, partial derivatives, double integrals, and polar coordinates. By the end of the course, students will be able to apply the distance formula, work with vector operations like dot and cross products, understand multivariable functions, compute partial derivatives using the chain rule, and evaluate double integrals. The teaching method involves a series of lessons delivered by a tutor, combining theoretical explanations with practical examples. This course is intended for learners who have a basic understanding of Calculus and are looking to advance their knowledge to the multivariable calculus level.

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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