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source: James Cook 2015年8月25日
Basic Calculus
This is the playlist for Math 126 lectures captured from the Fall 2015 semester at Liberty University in Lynchburg Virginia. This course is based on the 10-th edition of Tan's calculus text for the business and life sciences.
Lecture 1: algebra and functions 34:16 We begin our brief review of algebra and functions. Of course, much more could be said here, but, we probably go on to limits next class and we will continue to work on algebra the whole semester. To learn calculus is to learn algebra.
Lecture 2 part 1: algebra and limits 59:51
Lecture 2 part 2: algebra review and limits 15:48
Lecture 4 part 1: limit examples, derivative and tangent line 59:51
Lecture 4 part 2: limit examples, derivative and tangent line 10:23
Lecture 5 part 1: death to limits, the rise of the power, product and quotient rules 59:51
Lecture 5 part 2: death to limits, the rise of the power, product and quotient rules 13:37
Lecture 6 part 1: basic derivatives 59:51
Lecture 6 part 2: basic derivatives 12:00
Lecture 7: questions for Test 1 40:03
Lecture 8 part 1: chain rule unleashed 59:51
Lecture 8 part 2: chain rule unleashed 11:09
Lecture 9 part 1: higher derivatives and chain rule examples 59:51
Lecture 9 part 2: higher derivatives and chain rule examples 2:53
Lecture 10 part 1: implicit differentiation and related rates 59:51
Lecture 10 part 2: implicit differentiation and related rates 7:56
Lecture 11 part 1: implicit diff hwk, graphing with calculus 59:51
Lecture 11 part 2: implicit diff hwk, graphing with calculus 15:01
Lecture 13 part 1: graphing with calculus 59:51
Lecture 13 part 2: graphing with calculus 17:07
Lecture 14: Review for Test 2 52:22
Lecture 15 part 1: absolute extrema, optimization 59:51
Lecture 15 part 2: absolute extrema, optimization 5:07
Lecture 16: exponentials and logarithms and their calculus 56:26
Lecture 17 part 1: log differentiation, antiderivatives 59:51
Lecture 17 part 2: log differentiation, antiderivatives 13:58
Lecture 18 part 1: integration by substitution 59:51
Lecture 18 part 2: help with some log differentiation hwk 14:06
Lecture 19 part 1: U-substution problems 53:14
Lecture 19 part 1 a correction to last example 0:17
Lecture 20: help with integration homework 58:32
Lecture 21 part 1: Test 3 solution, Fundamental Theorem of Calculus (FTC) 59:51
Lecture 21 part 2: average of function on closed interval 6:59
Lecture 22 part 1: calculus of motion problems set-up 2:33
Lecture 22 part 2: soln of motion problems, area calculation, IBP 59:51
Lecture 22 part 3: integration by parts continued 6:39
Lecture 23: essential multivariable calculus and Hello 49:05
Lecture 24: integration hwk help, some final exam comments 54:45
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