Calculus, originally called infinitesimal calculus or “the calculus of infinitesimals”, is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations. This course is for those who want to learn #calculus in depth as well as for machine learning enthusiasts. You will be learning most of the crucial concepts of calculus with comprehensive explanation.
โญ Table of Contents โญ
โจ๏ธ (0:05) A Preview of Calculus
โจ๏ธ (37:25) The Limit of a Function.
โจ๏ธ (1:14:30) The Limit Laws
โจ๏ธ (1:51:00) Continuity
โจ๏ธ (2:16:52) The Precise Definition of a Limit
โจ๏ธ (2:45:52) Defining the Derivative
โจ๏ธ (3:10:16) The Derivative as a Function
โจ๏ธ (3:34:28) Differentiation Rules
โจ๏ธ (4:04:05) Derivatives as Rates of Change
โจ๏ธ (4:39:40) Derivatives of Trigonometric Functions
โจ๏ธ (4:55:30) The Chain Rule
โจ๏ธ (5:15:08) Derivatives of Inverse Functions
โจ๏ธ (5:40:18) Implicit Differentiation
โจ๏ธ (6:06:28) Derivatives of Exponential and Logarithmic Functions
โจ๏ธ (6:31:32) Partial Derivatives
โจ๏ธ (6:53:10) Related Rates
โจ๏ธ (7:19:48) Linear Approximations and Differentials
โจ๏ธ (7:42:56) Maxima and Minima
โจ๏ธ (8:01:59) The Mean Value Theorem
โจ๏ธ (8:21:21) Derivatives and the Shape of a Graph
โจ๏ธ (8:45:59) Limits at Infinity and Asymptotes
โจ๏ธ (9:11:35) Applied Optimization Problems
โจ๏ธ (9:42:36) L’Hopital’s Rule
โจ๏ธ (10:14:01) Newton’s Method
โจ๏ธ (10:35:24) Antiderivatives
โญ Credit โญ
This great course was developed by : Tyler Wallace
Licensed under Creative Commons
Visit his YouTube channel and learn more: https://www.youtube.com/user/wallacemath/playlists
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