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YouTube

How to Master Calculus

via YouTube

Overview

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This course aims to help learners master Calculus 1 by covering the following learning outcomes and goals: - Understanding the concept of derivatives and how to find them for any function - Learning derivative techniques like the Product Rule, Quotient Rule, and Chain Rule through examples - Exploring concavity and its relationship with derivatives - Applying skills in slope, concavity, and derivatives to find maximums and minimums of functions - Solving real-world optimization problems using the concepts of maxima and minima - Understanding integrals and their relation to derivatives - Practicing finding integrals using the Power Rule and other techniques with numerous examples and practice problems The course teaches individual skills such as finding derivatives, applying derivative techniques, understanding concavity, solving optimization problems, finding integrals, and mastering related concepts. The teaching method includes explanations of concepts with examples, practice problems, and step-by-step guidance on solving calculus problems. The intended audience for this course includes students or individuals looking to strengthen their understanding and skills in Calculus 1, particularly those who are new to the subject or seeking additional practice and explanation of key concepts.

Syllabus

Derivatives: The Basics EXPLAINED with Examples.
Product Rule for Derivatives EXPLAINED with Examples.
Quotient Rule EXPLAINED with Examples.
Chain Rule for Derivatives EXPLAINED with Examples.
Concavity of Functions EXPLAINED with Examples.
Finding Maximums and Minimums EXPLAINED with Examples.
Solving Optimization Problems in 5 Steps EXPLAINED with Examples.
Integrals AKA Antiderivatives EXPLAINED with Examples.
Integral Power Rule EXPLAINED with Examples.
The Integral of 1/x EXPLAINED. It's NOT what you think....
Definite Integrals EXPLAINED with Examples.
Definite Integrals: Negative Area EXPLAINED with Examples.
Continuity and Differentiability EXPLAINED with Examples.

Taught by

Ace Tutors

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