Calculus. This great course was developed by : Tyler Wallace
Licensed under Creative Commons.
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.
Combined the videos from ( / wallacemath )
Contents
(0:15) A Preview of Calculus
(37:15) The Limit of a Function.
(1:14:10) The Limit Laws
(1:51:10) Continuity
(2:16:12) The Precise Definition of a Limit
(2:45:12) Defining the Derivative
(3:10:26) The Derivative as a Function
(3:34:18) Differentiation Rules
(4:04:15) Derivatives as Rates of Change
(4:39:10) Derivatives of Trigonometric Functions
(4:55:10) The Chain Rule
(5:15:18) Derivatives of Inverse Functions
(5:40:28) Implicit Differentiation
(6:06:18) Derivatives of Exponential and Logarithmic Functions
(6:31:12) Partial Derivatives
(6:53:20) Related Rates
(7:19:18) Linear Approximations and Differentials
(7:42:16) Maxima and Minima
(8:01:19) The Mean Value Theorem
(8:21:11) Derivatives and the Shape of a Graph
(8:45:19) Limits at Infinity and Asymptotes
(9:11:15) Applied Optimization Problems
(9:42:16) L'Hopital's Rule
(10:14:11) Newton's Method
(10:35:14) Antiderivatives
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