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Calculus 1 - full course for beginners
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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 is #calculus 1 course which will teach everything you need to know in order to start learning calculus.
⭐️ Table of Contents ⭐️
⌨️ (0:00:00) The Limit of a functtion
⌨️ (0:17:33) Calculating limit using limit laws
⌨️ (0:40:04) The precise definition of a limit
⌨️ (0:50:19) Continuity
⌨️ (1:19:41) Derivatives and rates of change
⌨️ (1:54:20) The derivative as a function
⌨️ (2:22:34) Differentiation formulas
⌨️ (2:54:40) Derivative of trigonometric function
⌨️ (3:08:58) The chain rule
⌨️ (3:29:17) Implicit differentiation
⌨️ (3:39:05) Related rates
⌨️ (4:03:31) Linear approximation and differentials
⌨️ (4:35:09) Maximum and minimum values
⌨️ (5:00:17) The mean value theorem
⌨️ (5:17:47) How derivatives affect the shape of a graph
⌨️ (5:50:01) Limit of infinity horizontal asymptotes
⌨️ (6:32:38) Optimization problems
⌨️ (6:44:25) Newton's method
⌨️ (6:58:52) Antiderivatives
⌨️ (7:21:54) Areas and distances
⌨️ (7:59:41) The definite integral
⌨️ (8:42:59) Fundamental theorem of calculus
⌨️ (9:06:58) Indefinite integrals and the net change theorem
⌨️ (9:19:36) The substitution rule
⌨️ (9:58:51) Areas between curves
⌨️ (10:25:14) Volumes
⭐️ Credit ⭐️
Course Author by: Kamuela Yong
⭐️ "My CS" is non-profit and all the courses provided here are solely for educational purposes.
⭐️ Join Us ⭐️
This is #calculus 1 course which will teach everything you need to know in order to start learning calculus.
⭐️ Table of Contents ⭐️
⌨️ (0:00:00) The Limit of a functtion
⌨️ (0:17:33) Calculating limit using limit laws
⌨️ (0:40:04) The precise definition of a limit
⌨️ (0:50:19) Continuity
⌨️ (1:19:41) Derivatives and rates of change
⌨️ (1:54:20) The derivative as a function
⌨️ (2:22:34) Differentiation formulas
⌨️ (2:54:40) Derivative of trigonometric function
⌨️ (3:08:58) The chain rule
⌨️ (3:29:17) Implicit differentiation
⌨️ (3:39:05) Related rates
⌨️ (4:03:31) Linear approximation and differentials
⌨️ (4:35:09) Maximum and minimum values
⌨️ (5:00:17) The mean value theorem
⌨️ (5:17:47) How derivatives affect the shape of a graph
⌨️ (5:50:01) Limit of infinity horizontal asymptotes
⌨️ (6:32:38) Optimization problems
⌨️ (6:44:25) Newton's method
⌨️ (6:58:52) Antiderivatives
⌨️ (7:21:54) Areas and distances
⌨️ (7:59:41) The definite integral
⌨️ (8:42:59) Fundamental theorem of calculus
⌨️ (9:06:58) Indefinite integrals and the net change theorem
⌨️ (9:19:36) The substitution rule
⌨️ (9:58:51) Areas between curves
⌨️ (10:25:14) Volumes
⭐️ Credit ⭐️
Course Author by: Kamuela Yong
⭐️ "My CS" is non-profit and all the courses provided here are solely for educational purposes.
⭐️ Join Us ⭐️
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