# You can also click the upper-left icon to select videos from the playlist.
source: James Cook 2016年1月18日
Calculus II of 2016 (the early section)
I intend to post Lectures from Math 132 at Liberty University from the Spring 2016 semester. These are from the 8:15 lecture section. There is a second playlist for the other second section I'm teaching in the 2nd period. Sometimes these are identical, other times I may use this layering as an opportunity to add examples. Of course, I only expect students to carefully study their own section's Lecture set.
We follow Salas and Hille's text in part, but, I try to keep these Lectures independent from the text. I have many notes posted and I will refer to those from time to time. They can be found in the webpage for Calculus II at www.supermath.info. Eventually, I'd like to mature these notes into an open source calculus text so I appreciate your input where there are errors. I hope to post some new notes as the semester progresses. Thanks!
Topics: we begin with inverse trig and hyperbolic functions, then IBP, partial fractions, integrals of trig. functions, trig and hyperbolic substitutions, first and second order DEqns, theory of sequential convergence, convergence of series, power series, Taylor's Theorem, calculus of parametrized curves, conic sections, polar coordinates and, perhaps special to my sections, 2D vector math. This list is not quite comprehensive and not quite in order, but this essentially captures the course; we assume integration through u-substitution was covered in the previous course and we cover material up to, but not including, 3D vector algebra. Past this you can see my multivariable calculus Lectures if you wish.
sec1: introductory comments 11:21 Ok, this is not even the real course introduction. I need to talk to you all about homework and such in person. However, this does serve to review those things we all should know cold from calculus I.
sec1: inverse trig 34:59
sec1: trig and hyperbolic 51:54
sec1: hyperbolic calculus, IBP intro, Jan 21 59:51
sec1: hyperbolic calculus, IBP intro, Jan 21 (part 2) 17:39
sec1: help with IBP hwk, integrals of trig fncts, Jan 26 (part 1) 59:51
sec1: help with IBP hwk, integrals of trig fncts, Jan 26 (part 2) 9:52
sec1: integral of trig fnct, trig substitution initiated, Jan 27 50:16
sec1: trigonometric and hyperbolic subst, Jan 28 59:51
sec1: trigonometric and hyperbolic subst, Jan 28 (part 2) 17:33
sec1: hwk help, partial fractions, Jan 29 49:11
sec1: hwk help, partial fractions 46:12
sec1: partial fractions, rationalizing subst. , Feb 2 59:51
sec1: partial fractions, rationalizing subst. , Feb 2 (part 2) 12:22
sec1: rationalizing exp example, numerical integration, Feb 3 48:10
sec1: partial fractions help, numerical methods, Feb 4 59:51
sec1: partial fractions help, numerical methods, Feb 4 (part 2) 12:12
sec1: numerical error, integration help, Feb 5 44:12
sec1: review for Test 1, Feb 8 43:11
sec1: introduction to DEqns, integration factor method, Feb 10 50:03
sec1: separation of variables, 2nd order start, Feb 11 (part 1) 59:51
sec1: separation of variables, 2nd order start, Feb 11 (part 2) 16:35
sec1: 2nd order constant coefficient, Feb 12 50:41
sec1: help with DEqns homework, Feb 17 43:02
sec1: real numbers, sequences, least upper bounds, Feb 18 (part 1) 59:51
sec1: real numbers, sequences, least upper bounds, Feb 18 (part 2) 17:31
sec1: increasing and decreasing sequences, Feb 19 50:56
sec1: some theory of sequences, Feb 23 (part 1) 59:51
sec1: some theory of sequences, Feb 23 (part 2) 15:12
sec1: examples of DEqns and sequences, Feb 24 42:48
sec1: sequence theorems from 11.4, Feb 25 59:51
sec1: Lhopital Rule, Feb 26 47:27
sec 1: help with sequences, Lhop rule, Feb 29 46:13
sec1: L'Hop and Improper Integration, March 1 (part 1) 59:51
sec1: L'Hop and Improper Integration, March 1 (part 2) 11:43
sec1: L'Hop examples, March 2 23:44
sec1: quiz 2 soln, improper integrals, March 3 (part 1) 59:51
sec1: quiz 2 soln, improper integrals, March 3 (part 2) 10:18
sec1: preparing for test 2, March 4 38:27
sec1: summation notation, definition of series, March 9 51:27
sec1: series conv/div analysis, basic and limit comparison, Mar 10 (part 1) 59:51
sec1: series conv/div analysis, basic and limit comparison, Mar 10 (part 2) 7:14
sec1: limit comparison, integral test, p-series, March 11 53:16
sec1: root and ratio tests, March 21 47:16
sec1: alternating series, March 22 59:51
sec1: alternating series, March 22 (part 2) 17:38
sec1: another try at proofs from 12.5, some hwk help, March 23 38:07
sec1: power series introduction, March 24 (part 1) 59:51
sec1: power series introduction, March 24 (part 2) 8:33
sec1: geometric series tricks, March 25 48:43
sec1: converge or diverge, March 29 (part 1) 59:51
sec1: converge or diverge, March 29 (part 2) 4:32
sec1: Taylor's Theorem, March 30 50:40
sec1: power series calculation, April 1 50:28
sec1: applications and power series, April 4 45:53
sec1: power series calculation, April 5 (part 1) 59:51
sec1: power series calculation, April 5 (part 2) 9:41
sec1: power series calculations, April 7 (part 1) 59:51
sec1: power series calculations, April 7 (part 2) 1:19
sec1: conic sections and polar coordinates, April 8 41:33
sec1: questions for Test 3, April 11 45:12
sec1: polar graphs and area, April 13 49:49
sec1: polar graph, paths and curves, April 14 (part 1) 59:51
sec1: polar graph, paths and curves, April 14 (part 2) 15:57
sec1: arclength, April 15 49:30
sec1: arclength in polar coordinates, April 18 47:13
sec1: surface area, center of mass, tangents, April 19 (part 1) 59:51
sec1: surface area, center of mass, tangents, April 19 (part 2) 15:09
sec1: parametric calculus, April 20 44:02
sec1: parametrized curves and their calculus, April 21(part 1) 59:51
sec1: parametrized curves and their calculus, April 21(part 2) 8:29
sec1: calculus of paths, April 22 59:14
sec1: parametric examples, April 25 58:02
sec1: review for Test 4, April 26 42:27
2017-09-02
Basic Calculus (Fall 2015) by James Cook at Liberty University
# You can also click the upper-left icon to select videos from the playlist.
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
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
Calculus II of 2016 (later section) by James Cook at Liberty University
# You can also click the upper-left icon to select videos from the playlist.
source: James Cook 2016年1月19日
I intend to post Lectures from Math 132 at Liberty University from the Spring 2016 semester. These are from the 9:20 (M-W-F), 9:45 (T-TH) lecture section. There is a second playlist for the other second section I'm teaching in the 1st period. Sometimes these are identical, other times I may use this layering as an opportunity to add examples. Of course, I only expect students to carefully study their own section's Lecture set.
We follow Salas and Hille's text in part, but, I try to keep these Lectures independent from the text. I have many notes posted and I will refer to those from time to time. They can be found in the webpage for Calculus II at www.supermath.info. Eventually, I'd like to mature these notes into an open source calculus text so I appreciate your input where there are errors. I hope to post some new notes as the semester progresses. Thanks!
Topics: we begin with inverse trig and hyperbolic functions, then IBP, partial fractions, integrals of trig. functions, trig and hyperbolic substitutions, first and second order DEqns, theory of sequential convergence, convergence of series, power series, Taylor's Theorem, calculus of parametrized curves, conic sections, polar coordinates and, perhaps special to my sections, 2D vector math. This list is not quite comprehensive and not quite in order, but this essentially captures the course; we assume integration through u-substitution was covered in the previous course and we cover material up to, but not including, 3D vector algebra. Past this you can see my multivariable calculus Lectures if you wish.
sec1: inverse trig (late section) 37:12
sec2: trig and hyperbolic 52:00
sec2: hyperbolic calculus, IBP intro, Jan 21 59:51
sec2: hyperbolic calculus, IBP intro, Jan 21 (part 2) 13:00
sec2: help with IBP hwk, integrals of trig fncts, Jan 26 (part 1) 59:51
sec2: help with IBP hwk, integrals of trig fncts, Jan 26 (part 2) 16:34
sec2: integral of trig fnct, trig substitution initiated, Jan 27 50:54
sec2: trigonometric and hyperbolic subst, Jan 28 59:51
sec2: trigonometric and hyperbolic subst, Jan 28 (part 2) 15:17
sec2: hwk help, partial fractions, Jan 29 50:35
sec2: hwk help, partial fractions (867-5309) 51:01
sec2: partial fractions, rationalizing subst. , Feb 2 59:51
sec2: partial fractions, rationalizing subst. , Feb 2 (part 2) 12:28
sec2: rationalizing exp example, numerical integration, Feb 3 51:12
sec2: partial fractions help, numerical methods, Feb 4 59:51
sec2: partial fractions help, numerical methods, Feb 4 (part 2) 12:31
sec2: numerical error, integration help, Feb 5 52:45
sec2: review for Test 1, Feb 8 48:20
sec2: introduction to DEqns, integration factor method, Feb 10 49:47
sec2: separation of variables, 2nd order start, Feb 11 (part 1) 59:51
sec2: separation of variables, 2nd order start, Feb 11 (part 2) 15:29
sec2: 2nd order constant coefficient, Feb 12 47:47
sec2: help with DEqns homework, brief Test 1 overview, Feb 17 50:49
sec2: real numbers, sequences, least upper bounds, Feb 18 (part 1) 59:51
sec2: real numbers, sequences, least upper bounds, Feb 18 (part 2) 16:22
sec2: increasing and decreasing sequences, Feb 19 48:51
sec2: some theory of sequences, Feb 23 (part 1) 59:51
sec2: some theory of sequences, Feb 23 (part 2) 14:47
sec2: examples of DEqns and sequences, Feb 24 42:32
sec1: sequence theorems from 11.4, Feb 25 53:14
sec2: Lhopital Rule, Feb 26 48:09
sec 2: help with sequences, Lhop rule, Feb 29 42:36
sec2: L'Hop and Improper Integration, March 1 (part 1) 59:51
sec2: L'Hop and Improper Integration, March 1 (part 2) 14:47
sec2: L'Hop examples, March 2 26:03
sec2: quiz 2 soln, improper integrals, March 3 (part 1) 59:51
sec1: quiz 2 soln, improper integrals, March 3 (part 2) 1:35
sec2: preparing for test 2, March 4 43:52
sec2: summation notation, definition of series, March 9 53:43
sec2: series conv/div analysis, basic and limit comparison, Mar 10 (part 1) 59:51
sec2: series conv/div analysis, basic and limit comparison, Mar 10 (part 2) 3:41
sec2: series conv/div analysis, basic and limit comparison, Mar 10 (part 3) 5:07
sec2: limit comparison, integral test, p-series, March 11 50:43
sec2: root and ratio tests, March 21 52:06
sec2: alternating series, March 22 (part 1) 59:51
sec2: alternating series, March 22 (part 2) 9:44
sec2: absolute convergence, AST proofs, some hwk help, March 23 48:10
sec2: power series introduction, March 24 (part 1) 59:51
sec2: power series introduction, March 24 (part 2) 13:45
sec2: adding zero vs. direct calculation, March 25 48:50
sec2: converge or diverge, March 29 (part 1) 59:51
sec2: converge or diverge, March 29 (part 2) 15:30
sec2: Taylor's Theorem, March 30 46:34
sec2: IOC theorem, multiplication of series, March 31 (part 1) 59:51
sec2: IOC theorem, multiplication of series, March 31 (part 2) 6:06
sec2: power series calculation, April 1 47:49
sec2: applications and power series, April 4 48:59
sec2: power series calculation, April 5 (part 1) 59:51
sec2: power series calculation, April 5 (part 2) 12:49
sec2: power series calculations, April 7 (part 1) 59:51
sec2: power series calculations, April 7 (part 2) 4:53
sec2: conic sections and polar coordinates, April 8 50:04
sec2: questions for Test 3, April 11 45:11
sec2: polar graphs and area, April 13 51:56
sec2: polar graph, paths and curves, April 14 (part 1) 59:51
sec2: polar graph, paths and curves, April 14 (part 2) 16:58
sec2: arclength, April 15 46:43
sec1: arclength integral derived, area of a surface of revolution , April 18 43:51
sec2: center of mass, collisions, ninjas, tangents, April 19 (part 1) 59:51
sec2: center of mass, collisions, ninjas, tangents, April 19 (part 2) 15:01
sec2: parametric calculus, April 20 49:22
sec2: parametrized curves and their calculus, April 21(part 1) 59:51
sec2: parametrized curves and their calculus, April 21(part 2) 10:32
sec2: calculus of paths, April 22 36:18
sec2: parametric examples, April 25 52:12
sec2: review for Test 4, April 26 43:42
source: James Cook 2016年1月19日
I intend to post Lectures from Math 132 at Liberty University from the Spring 2016 semester. These are from the 9:20 (M-W-F), 9:45 (T-TH) lecture section. There is a second playlist for the other second section I'm teaching in the 1st period. Sometimes these are identical, other times I may use this layering as an opportunity to add examples. Of course, I only expect students to carefully study their own section's Lecture set.
We follow Salas and Hille's text in part, but, I try to keep these Lectures independent from the text. I have many notes posted and I will refer to those from time to time. They can be found in the webpage for Calculus II at www.supermath.info. Eventually, I'd like to mature these notes into an open source calculus text so I appreciate your input where there are errors. I hope to post some new notes as the semester progresses. Thanks!
Topics: we begin with inverse trig and hyperbolic functions, then IBP, partial fractions, integrals of trig. functions, trig and hyperbolic substitutions, first and second order DEqns, theory of sequential convergence, convergence of series, power series, Taylor's Theorem, calculus of parametrized curves, conic sections, polar coordinates and, perhaps special to my sections, 2D vector math. This list is not quite comprehensive and not quite in order, but this essentially captures the course; we assume integration through u-substitution was covered in the previous course and we cover material up to, but not including, 3D vector algebra. Past this you can see my multivariable calculus Lectures if you wish.
sec1: inverse trig (late section) 37:12
sec2: trig and hyperbolic 52:00
sec2: hyperbolic calculus, IBP intro, Jan 21 59:51
sec2: hyperbolic calculus, IBP intro, Jan 21 (part 2) 13:00
sec2: help with IBP hwk, integrals of trig fncts, Jan 26 (part 1) 59:51
sec2: help with IBP hwk, integrals of trig fncts, Jan 26 (part 2) 16:34
sec2: integral of trig fnct, trig substitution initiated, Jan 27 50:54
sec2: trigonometric and hyperbolic subst, Jan 28 59:51
sec2: trigonometric and hyperbolic subst, Jan 28 (part 2) 15:17
sec2: hwk help, partial fractions, Jan 29 50:35
sec2: hwk help, partial fractions (867-5309) 51:01
sec2: partial fractions, rationalizing subst. , Feb 2 59:51
sec2: partial fractions, rationalizing subst. , Feb 2 (part 2) 12:28
sec2: rationalizing exp example, numerical integration, Feb 3 51:12
sec2: partial fractions help, numerical methods, Feb 4 59:51
sec2: partial fractions help, numerical methods, Feb 4 (part 2) 12:31
sec2: numerical error, integration help, Feb 5 52:45
sec2: review for Test 1, Feb 8 48:20
sec2: introduction to DEqns, integration factor method, Feb 10 49:47
sec2: separation of variables, 2nd order start, Feb 11 (part 1) 59:51
sec2: separation of variables, 2nd order start, Feb 11 (part 2) 15:29
sec2: 2nd order constant coefficient, Feb 12 47:47
sec2: help with DEqns homework, brief Test 1 overview, Feb 17 50:49
sec2: real numbers, sequences, least upper bounds, Feb 18 (part 1) 59:51
sec2: real numbers, sequences, least upper bounds, Feb 18 (part 2) 16:22
sec2: increasing and decreasing sequences, Feb 19 48:51
sec2: some theory of sequences, Feb 23 (part 1) 59:51
sec2: some theory of sequences, Feb 23 (part 2) 14:47
sec2: examples of DEqns and sequences, Feb 24 42:32
sec1: sequence theorems from 11.4, Feb 25 53:14
sec2: Lhopital Rule, Feb 26 48:09
sec 2: help with sequences, Lhop rule, Feb 29 42:36
sec2: L'Hop and Improper Integration, March 1 (part 1) 59:51
sec2: L'Hop and Improper Integration, March 1 (part 2) 14:47
sec2: L'Hop examples, March 2 26:03
sec2: quiz 2 soln, improper integrals, March 3 (part 1) 59:51
sec1: quiz 2 soln, improper integrals, March 3 (part 2) 1:35
sec2: preparing for test 2, March 4 43:52
sec2: summation notation, definition of series, March 9 53:43
sec2: series conv/div analysis, basic and limit comparison, Mar 10 (part 1) 59:51
sec2: series conv/div analysis, basic and limit comparison, Mar 10 (part 2) 3:41
sec2: series conv/div analysis, basic and limit comparison, Mar 10 (part 3) 5:07
sec2: limit comparison, integral test, p-series, March 11 50:43
sec2: root and ratio tests, March 21 52:06
sec2: alternating series, March 22 (part 1) 59:51
sec2: alternating series, March 22 (part 2) 9:44
sec2: absolute convergence, AST proofs, some hwk help, March 23 48:10
sec2: power series introduction, March 24 (part 1) 59:51
sec2: power series introduction, March 24 (part 2) 13:45
sec2: adding zero vs. direct calculation, March 25 48:50
sec2: converge or diverge, March 29 (part 1) 59:51
sec2: converge or diverge, March 29 (part 2) 15:30
sec2: Taylor's Theorem, March 30 46:34
sec2: IOC theorem, multiplication of series, March 31 (part 1) 59:51
sec2: IOC theorem, multiplication of series, March 31 (part 2) 6:06
sec2: power series calculation, April 1 47:49
sec2: applications and power series, April 4 48:59
sec2: power series calculation, April 5 (part 1) 59:51
sec2: power series calculation, April 5 (part 2) 12:49
sec2: power series calculations, April 7 (part 1) 59:51
sec2: power series calculations, April 7 (part 2) 4:53
sec2: conic sections and polar coordinates, April 8 50:04
sec2: questions for Test 3, April 11 45:11
sec2: polar graphs and area, April 13 51:56
sec2: polar graph, paths and curves, April 14 (part 1) 59:51
sec2: polar graph, paths and curves, April 14 (part 2) 16:58
sec2: arclength, April 15 46:43
sec1: arclength integral derived, area of a surface of revolution , April 18 43:51
sec2: center of mass, collisions, ninjas, tangents, April 19 (part 1) 59:51
sec2: center of mass, collisions, ninjas, tangents, April 19 (part 2) 15:01
sec2: parametric calculus, April 20 49:22
sec2: parametrized curves and their calculus, April 21(part 1) 59:51
sec2: parametrized curves and their calculus, April 21(part 2) 10:32
sec2: calculus of paths, April 22 36:18
sec2: parametric examples, April 25 52:12
sec2: review for Test 4, April 26 43:42
Calculus II (Fall 2016) by James Cook at Liberty University
# You can also click the upper-left icon to select videos from the playlist.
source: James Cook 2016年9月1日
Here I collect the Lectures from Math 132 section 3 at Liberty University. We use Salas, Hille and Etgen this semester. However, I often reference my own notes which can be found at www.supermath.info. This course covers integration techniques, sequences and series, basic first order DEqns, parametrized curves in plane, polar coordinates and power series calculation.
L1, trigand hyperbolic functions, 8-30-16, part 1 59:51
L1, trigand hyperbolic functions, 8-30-16, part 2 10:43
L2, examples and IBP introduced, 8-31-16 51:49
L3, IBP with loops and all, 9-1-16 50:29
L4, integrals of trig functions, 9-2-16 48:47
L5, trigonometric substitution ftw , 9-6-16 52:19
L6, hyperbolic substition ftw , 9-7-16 47:08
L7, partial fractions ftw , 9-8-16 52:14
L8, partial fractions ftl, 9-9-16 50:14
L9, rationalizing substituions including Weierstrauss' neat idea, 9-13-16 50:59
L10, numerical integration, 9-14-16 49:06
L11, infinitesimal method examples, 9-15-16 53:55
L12, surface area and work, 9-16-16, part 1 25:21
L12, surface area and work, 9-16-16, part 2 10:55
L13, first order differential equations, 9-21-16 47:39
L14, integrating factor technique, applications of first order DEqns, 9-22-16 53:40
L15, orthogonal trajectories, 9-23-16 39:20
L16, real numbers and sequences, 9-27-16 45:38
L17, increasing or decreasing sequences, bounds, 9-28-16 46:11
L18, L'hopital's rule, 9-29-16 55:34
L19, bounded monotonic theorem, Lhop rule, 9-30-16 50:28
L20, discussion of sequences homework, 10-3-16 45:28
L21, improper integration, 10-4-16 29:38
L22, improper integrals, 10-5-16 48:51
L23, review for Test 2, 10-10-16 50:20
L24, definition of series, geometric and telescoping, 10-12-16 52:40
L25, k-th term test, integral test, p-series, direct comparison, 10-13-16 49:59
L26, shifting sums, limit comparision test, 10-14-16 42:32
L27, ratio and root tests, 10-17-16 24:01
L28, alternating series, 10-18-16 39:42
L29, alternating series estimation theorem, 10-19-16 35:22
L30, Taylor Polynomials and Approximation of Functions, 10-20-16 49:02
L32, power series domain theorem and examples, 10-25-16 45:37
L33, natural log series, binomial series, 10-26-16 39:41
L34, power series calculation,10-27-16 51:52
L35, proof of Taylor's Theorem, a word on analyticity,, 10-28-16 47:27
L36, stories of Paul, 10-31-16 12:47
L37, solution to Quiz 10 aka Test 3 of Spring 2016, 11-1-16 38:31
L38, introduction to vectors in the plane, 11-4-16 47:26
L39, parametrizing line segments, ellipses, and hyperbolas, 11-7-16 44:16
L40, post mortem of Test 3, parametric curves, 11-9-16 48:16
L41, parametrized curves and calculus, 11-10-16 55:11
L42, motion in 2D and arclength, 11-11-16 51:13
L43, polar coordinates and graphing, 11-14-16 46:22
L44, area in polar coordinates, 11-15-16 14:17
L45, soln to Quiz, area in polar coordinates, 11-16-16 40:21
L46, arclength in polar coordinates, 11-17-16 50:12
L48, symmetry in polar graphs, parametrize pacman, 11-18-16 46:12
L49, centroids and surface area, 11-28-16 52:15
L50, homework on paths, 11-29-16 49:18
L51, solution to Quiz 12, arclength problem, 12-1-16 30:01
L52, solution to Test 4, December 2016 59:51
L53, Fourier Series, December 2016 45:55
source: James Cook 2016年9月1日
Here I collect the Lectures from Math 132 section 3 at Liberty University. We use Salas, Hille and Etgen this semester. However, I often reference my own notes which can be found at www.supermath.info. This course covers integration techniques, sequences and series, basic first order DEqns, parametrized curves in plane, polar coordinates and power series calculation.
L1, trigand hyperbolic functions, 8-30-16, part 1 59:51
L1, trigand hyperbolic functions, 8-30-16, part 2 10:43
L2, examples and IBP introduced, 8-31-16 51:49
L3, IBP with loops and all, 9-1-16 50:29
L4, integrals of trig functions, 9-2-16 48:47
L5, trigonometric substitution ftw , 9-6-16 52:19
L6, hyperbolic substition ftw , 9-7-16 47:08
L7, partial fractions ftw , 9-8-16 52:14
L8, partial fractions ftl, 9-9-16 50:14
L9, rationalizing substituions including Weierstrauss' neat idea, 9-13-16 50:59
L10, numerical integration, 9-14-16 49:06
L11, infinitesimal method examples, 9-15-16 53:55
L12, surface area and work, 9-16-16, part 1 25:21
L12, surface area and work, 9-16-16, part 2 10:55
L13, first order differential equations, 9-21-16 47:39
L14, integrating factor technique, applications of first order DEqns, 9-22-16 53:40
L15, orthogonal trajectories, 9-23-16 39:20
L16, real numbers and sequences, 9-27-16 45:38
L17, increasing or decreasing sequences, bounds, 9-28-16 46:11
L18, L'hopital's rule, 9-29-16 55:34
L19, bounded monotonic theorem, Lhop rule, 9-30-16 50:28
L20, discussion of sequences homework, 10-3-16 45:28
L21, improper integration, 10-4-16 29:38
L22, improper integrals, 10-5-16 48:51
L23, review for Test 2, 10-10-16 50:20
L24, definition of series, geometric and telescoping, 10-12-16 52:40
L25, k-th term test, integral test, p-series, direct comparison, 10-13-16 49:59
L26, shifting sums, limit comparision test, 10-14-16 42:32
L27, ratio and root tests, 10-17-16 24:01
L28, alternating series, 10-18-16 39:42
L29, alternating series estimation theorem, 10-19-16 35:22
L30, Taylor Polynomials and Approximation of Functions, 10-20-16 49:02
L32, power series domain theorem and examples, 10-25-16 45:37
L33, natural log series, binomial series, 10-26-16 39:41
L34, power series calculation,10-27-16 51:52
L35, proof of Taylor's Theorem, a word on analyticity,, 10-28-16 47:27
L36, stories of Paul, 10-31-16 12:47
L37, solution to Quiz 10 aka Test 3 of Spring 2016, 11-1-16 38:31
L38, introduction to vectors in the plane, 11-4-16 47:26
L39, parametrizing line segments, ellipses, and hyperbolas, 11-7-16 44:16
L40, post mortem of Test 3, parametric curves, 11-9-16 48:16
L41, parametrized curves and calculus, 11-10-16 55:11
L42, motion in 2D and arclength, 11-11-16 51:13
L43, polar coordinates and graphing, 11-14-16 46:22
L44, area in polar coordinates, 11-15-16 14:17
L45, soln to Quiz, area in polar coordinates, 11-16-16 40:21
L46, arclength in polar coordinates, 11-17-16 50:12
L48, symmetry in polar graphs, parametrize pacman, 11-18-16 46:12
L49, centroids and surface area, 11-28-16 52:15
L50, homework on paths, 11-29-16 49:18
L51, solution to Quiz 12, arclength problem, 12-1-16 30:01
L52, solution to Test 4, December 2016 59:51
L53, Fourier Series, December 2016 45:55
Calculus I in a nutshell: a review for Calculus II by James Cook
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source: James Cook 2016年8月3日
Calculus I in a nutshell: a review for Calculus II
These videos are primarily intended for students who are about to take Math 132 at Liberty University under my supervision. However, these may be of use to anyone who wishes a concise review of university calculus.
polynomials, completing the square 18:53 this is a fast review of some essential ideas about polynomials.
functions, graphs, local inverses. 29:39
hyperbolic functions, further trig functions 12:46
basics of differentiation part 1 25:13
basic differentiation part 2 18:45
implicit differentiation 14:21
graphing with calculus part 1 20:26
graphing with calculus part 2 27:06
basic indefinite integrals, part 1 18:15
basic indefinite integration part 2 6:42
basic indefinite integrals, part 3 9:05
antiderivatives applied to initial value problems 7:40
U-substitution for indefinite integrals 29:42
integrals of powers of trig and hyperbolic trig functions 12:27
integrals of powers of trig and hyperbolic trig. part 2 23:46
Riemann sum, signed-area 11:01
Fundamental Theorem of Calculus I, II and III 29:23
FTC II from telescoping sum and the Mean Value Theorem 4:51
solving definite integrals with FTC II, part 1 20:19
solving definite integrals with FTC II, part 2 9:42
finding areas bounded by curves 26:28
integral as continuous sum, the infinitesimal method 6:00
volumes by the slice 13:52
volumes by cylindrical shell or slice 26:01
a word on Test 1 of 2010 3:53
a word on Test 2 of 2010 11:18
a word on Test 3 of 2010 12:17
a word on Test 4 of 2010 18:30
the imaginary exponential technique 28:10
the epsilon-delta definition of the limit 29:42
examples of epsilon-delta limits 22:50
source: James Cook 2016年8月3日
Calculus I in a nutshell: a review for Calculus II
These videos are primarily intended for students who are about to take Math 132 at Liberty University under my supervision. However, these may be of use to anyone who wishes a concise review of university calculus.
polynomials, completing the square 18:53 this is a fast review of some essential ideas about polynomials.
functions, graphs, local inverses. 29:39
hyperbolic functions, further trig functions 12:46
basics of differentiation part 1 25:13
basic differentiation part 2 18:45
implicit differentiation 14:21
graphing with calculus part 1 20:26
graphing with calculus part 2 27:06
basic indefinite integrals, part 1 18:15
basic indefinite integration part 2 6:42
basic indefinite integrals, part 3 9:05
antiderivatives applied to initial value problems 7:40
U-substitution for indefinite integrals 29:42
integrals of powers of trig and hyperbolic trig functions 12:27
integrals of powers of trig and hyperbolic trig. part 2 23:46
Riemann sum, signed-area 11:01
Fundamental Theorem of Calculus I, II and III 29:23
FTC II from telescoping sum and the Mean Value Theorem 4:51
solving definite integrals with FTC II, part 1 20:19
solving definite integrals with FTC II, part 2 9:42
finding areas bounded by curves 26:28
integral as continuous sum, the infinitesimal method 6:00
volumes by the slice 13:52
volumes by cylindrical shell or slice 26:01
a word on Test 1 of 2010 3:53
a word on Test 2 of 2010 11:18
a word on Test 3 of 2010 12:17
a word on Test 4 of 2010 18:30
the imaginary exponential technique 28:10
the epsilon-delta definition of the limit 29:42
examples of epsilon-delta limits 22:50
(Español / in Spanish) Cálculo Diferencial
# You can also click the upper-left icon to select videos from the playlist.
source: Academia Internet 2015年2月19日
Blog de Academia Internet: https://academiainternet.wordpress.com/
Donde encontrarás los vídeos de Academia Internet, organizados en temas y capítulos.
Academia Internet, tu academia en internet.
Definición de derivada 7:38
Calcular la derivada en un punto usando la definición 27:51
Razón de Cambio Promedio, Razón de Cambio Instantáneo 14:05
Interpretación Geométrica de la Derivada 9:56
Velocidad media, Velocidad Instantánea 20:00
Derivada de una constante, función identidad, suma de funciones 7:00
Derivada de la potencia de la función identidad 20:31
Derivada de una Potencia 16:37
Derivada de la raíz enésima y de la raíz cuadrada 9:53
Derivada de una Suma de Funciones 4:32
Derivada del producto de dos funciones 5:42
Derivada de un cociente 14:47
Derivada de la Función Exponencial 24:09
Derivada de la Función Exponencial de base e 18:52
Derivada de un logaritmo 20:46
Derivada de un logaritmo neperiano 15:44
source: Academia Internet 2015年2月19日
Blog de Academia Internet: https://academiainternet.wordpress.com/
Donde encontrarás los vídeos de Academia Internet, organizados en temas y capítulos.
Academia Internet, tu academia en internet.
Definición de derivada 7:38
Calcular la derivada en un punto usando la definición 27:51
Razón de Cambio Promedio, Razón de Cambio Instantáneo 14:05
Interpretación Geométrica de la Derivada 9:56
Velocidad media, Velocidad Instantánea 20:00
Derivada de una constante, función identidad, suma de funciones 7:00
Derivada de la potencia de la función identidad 20:31
Derivada de una Potencia 16:37
Derivada de la raíz enésima y de la raíz cuadrada 9:53
Derivada de una Suma de Funciones 4:32
Derivada del producto de dos funciones 5:42
Derivada de un cociente 14:47
Derivada de la Función Exponencial 24:09
Derivada de la Función Exponencial de base e 18:52
Derivada de un logaritmo 20:46
Derivada de un logaritmo neperiano 15:44
(Español / in Spanish) Química
# You can also click the upper-left icon to select videos from the playlist.
source: Academia Internet 2015年5月24日
Química
Blog Academia Internet: https://academiainternet.wordpress.com/
Donde encontrarás los vídeos organizados en capítulos y temas.
Sistema de prefijos, conversión por factor unitario, Sistema Internacional, Unidades Fundamentales.
Materia y Energía: clasificación, cambios de estado, sustancia, mezcla, cambios de la materia 20:04
Modelos Atómicos, Demócrito, Dalton, Thomson, Rutherford, Sommerfeld, Schrödinguer, Dirac-Jordan. 33:13
Número de masa, atómico, iones, electrones, isótopos, isóbaros, isótonos, núclidos 14:29
Química Nuclear, radiactividad, Radiación alfa, beta, gamma, fisión nuclear, fusión nuclear. 26:46
Configuración Electrónica, Principio de AUFBAU, Principio de Hund 29:30
Configuración Electrónica con Kernel 6:45
Números Cuánticos, Nube Electrónica, Principio de Exclusión de Pauli 32:10
Tabla Periódica: Metales, No Metales, propiedades periódicas 18:29
Como ubicar un elemento en la tabla periódica 12:50
Enlace Químico, enlace covalente, iónico, metálico 32:09
Enlaces Intermoleculares, Puente de Hidrógeno, Dipolo-Dipolo, Fuerzas de London. 25:04
Nomenclatura Inorgánica, hidruros, óxidos, hidróxidos, ácidos, sales 1:26:33
Hidruros, ácidos hidrácidos, nomenclatura tradicional, stock, sistemática, metales, no metales 27:37
Reacciones Químicas 19:10
Unidades Químicas de Masa, mol, número de avogadro, mol gramo, at-g, masa molecular, atómica, uma 37:30
Gases, Ecuación Universal Gases Ideales, Ecuación General, proceso isóbarico, isotérmico, isométrico 1:04:43
Estequiometría, masa-masa, mol-masa, masa-volumen, reactivo Limitante, rendimiento, eficiencia 1:20:03
Soluciones, Molaridad, Normalidad, p/p, v/v, p/v, ppm, molalidad, solubilidad, disolución 1:11:41
source: Academia Internet 2015年5月24日
Química
Blog Academia Internet: https://academiainternet.wordpress.com/
Donde encontrarás los vídeos organizados en capítulos y temas.
Sistema de prefijos, conversión por factor unitario, Sistema Internacional, Unidades Fundamentales.
Materia y Energía: clasificación, cambios de estado, sustancia, mezcla, cambios de la materia 20:04
Modelos Atómicos, Demócrito, Dalton, Thomson, Rutherford, Sommerfeld, Schrödinguer, Dirac-Jordan. 33:13
Número de masa, atómico, iones, electrones, isótopos, isóbaros, isótonos, núclidos 14:29
Química Nuclear, radiactividad, Radiación alfa, beta, gamma, fisión nuclear, fusión nuclear. 26:46
Configuración Electrónica, Principio de AUFBAU, Principio de Hund 29:30
Configuración Electrónica con Kernel 6:45
Números Cuánticos, Nube Electrónica, Principio de Exclusión de Pauli 32:10
Tabla Periódica: Metales, No Metales, propiedades periódicas 18:29
Como ubicar un elemento en la tabla periódica 12:50
Enlace Químico, enlace covalente, iónico, metálico 32:09
Enlaces Intermoleculares, Puente de Hidrógeno, Dipolo-Dipolo, Fuerzas de London. 25:04
Nomenclatura Inorgánica, hidruros, óxidos, hidróxidos, ácidos, sales 1:26:33
Hidruros, ácidos hidrácidos, nomenclatura tradicional, stock, sistemática, metales, no metales 27:37
Reacciones Químicas 19:10
Unidades Químicas de Masa, mol, número de avogadro, mol gramo, at-g, masa molecular, atómica, uma 37:30
Gases, Ecuación Universal Gases Ideales, Ecuación General, proceso isóbarico, isotérmico, isométrico 1:04:43
Estequiometría, masa-masa, mol-masa, masa-volumen, reactivo Limitante, rendimiento, eficiencia 1:20:03
Soluciones, Molaridad, Normalidad, p/p, v/v, p/v, ppm, molalidad, solubilidad, disolución 1:11:41
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