
Lecture 1

Getting started l Course overview l A to Z Calculus 2


1:24


Lecture 2

Integrals l Antiderivatives and indefinite integrals


5:11


Lecture 3

Integrals l Indefinite integrals l A to Z Calculus 2


6:10


Lecture 4

Integrals l Properties of integrals l A to Z Calculus 2


5:34


Lecture 5

Integrals l Find f given f''


4:42


Lecture 6

Integrals l Find f given f''' l A complete comprehensive calculus


7:19


Lecture 7

Integrals l Initial value problems


6:54


Lecture 8

Integrals l Find f given f'' l initial conditions


8:26


Lecture 9

Integrals l Definite integrals l A to Z Calculus 2


5:7


Lecture 10

Integrals l Definite integrals l Area under or enclosed by the graph


5:55


Lecture 11

Definite integrals of even functions


5:0


Lecture 12

Integrals l Definite integrals of odd function


7:38


Lecture 13

Integrals l Riemann sums l Summation notation l finding the sum


3:47


Lecture 14

Integrals l Riemann sums l Summation notation


3:19


Lecture 15

Riemann sums l Summation notation, collapsing


5:3


Lecture 16

Riemann sums l Riemann sums l left endpoints


9:1


Lecture 17

Riemann sums l Riemann sums l right endpoints


15:15


Lecture 18

Integral l Other approximation method l Over and underestimation


10:8


Lecture 19

Other approximation methods l Limit process to find area on a,b


16:6


Lecture 20

Other approximation methods l Limit process find area on a,a


12:50


Lecture 21

Other approximation method l Trapezoidal rule


10:31


Lecture 22

Integrals l Other approximation methods l Simpson's rule


10:25


Lecture 23

Error bounds l Midpoint rule error bound


22:18


Lecture 24

Integrals l Error bounds l Simpson's rule error bound


19:35


Lecture 25

Error bounds l Trapezoidal rule error bound


20:52


Lecture 26

Fundamental theorem of calculus l Part 1


11:32


Lecture 27

Fundamental theorem of calculus l Part 2


7:26


Lecture 28

Fundamental theorem of calculus l Net change theorem


6:34


Lecture 29

Usubstitution


8:4


Lecture 30

Usubstitution l U substitution in definite integrals


10:36


Lecture 31

Integration by parts


7:46


Lecture 32

Integrals l Integration by part l Integration by parts two time


13:36


Lecture 33

Integration by parts l Integration by parts three times


10:31


Lecture 34

Integration by parts l Integration by parts with u substitution




Lecture 35

Integration by parts l reduction formula


7:13


Lecture 36

Integration by parts l Tabular integration


8:49


Lecture 37

Integrals l Partial fractions l Distinct linear factors


12:39


Lecture 38

Partial fractions l Distinct linear factors


8:59


Lecture 39

Integrals l Partial fractions l Distinct linear factors


8:38


Lecture 40

Partial fractions l Distinct quadratic factors


16:3


Lecture 41

Partial fraction l Distinct quadratic factor


16:5


Lecture 42

Partial fractions l Distinct quadratic factors


8:15


Lecture 43

Partial fractions l Repeated linear factors


12:37


Lecture 44

Partial fraction l Repeated quadratic factor


14:34


Lecture 45

Integrals l Partial fractions l Repeated quadratic factors


16:40


Lecture 46

Integrals l Rationalizing substitutions


12:29


Lecture 47

Partial fractions l How to factor a difficult denominator


20:22


Lecture 48

Partial fractions l Two ways to find the constants


19:28


Lecture 49

Trigonometric integral


3:10


Lecture 50

Trigonometric integrals


11:7


Lecture 51

Trigonometric integrals l sin^m cos^n, odd m


9:58


Lecture 52

Integrals l Trigonometric integrals l sin^m cos^n, odd n


11:5


Lecture 53

Trigonometric integrals l sin^m cos^n, m and n even


7:19


Lecture 54

Trigonometric integrals l tan^m sec^n, odd m


5:24


Lecture 55

Trigonometric integrals 55 l tan^m sec^n, even n


5:30


Lecture 56

Integrals l Trigonometric integrals l tan^m sec^n, even n


5:17


Lecture 57

Integrals l Trigonometric integrals l sinmx cosnx


3:37


Lecture 58

Trigonometric integrals l sinmx sinnx


4:13


Lecture 59

Integrals l Trigonometric integrals l cosmx cosnx


4:23


Lecture 60

Integrals l Hyperbolic integrals


2:36


Lecture 61

Hyperbolic integrals l Inverse hyperbolic integrals


3:53


Lecture 62

Trigonometric substitution


13:12


Lecture 63

Integrals l Trigonometric substitution with secant


13:36


Lecture 64

Trigonometric substitution with sine


12:21


Lecture 65

Trigonometric substitution with sine




Lecture 66

Integrals l Trigonometric substitution with tangent


14:48


Lecture 67

Trigonometric substitution with a tangent


21:36


Lecture 68

Trigonometric substitution l Quadratic function


14:3


Lecture 69

Improper integrals l What makes an integral improper


4:33


Lecture 70

Improper integrals l infinity


7:43


Lecture 71

Improper integrals l Case 2 l infinity,b


5:39


Lecture 72

Improper integrals l Case 3 l infinity


12:20


Lecture 73

Improper integrals l discontinuity at b


14:6


Lecture 74

Improper integrals l Case 5 l discontinuity at a


6:51


Lecture 75

Improper integrals l discontinuity between a and b


8:36


Lecture 76

Integrals l Improper integrals l Comparison theorem


11:17


Lecture 77

Applications of Integrals l Area between curves l Upper and lower curves




Lecture 78

Applications of Integrals l Area between curves l Left and right curves


7:3


Lecture 79

Application of Integral l Area between curve l Sketching area between curves


10:43


Lecture 80

Applications of Integrals l Dividing area between curves into equal parts


11:43


Lecture 81

Applications of Integrals l Arc length l Arc length curve in the form y=fx


7:42


Lecture 82

Application of Integral l Arc length l Arc length of curve in the form x=gy


11:9


Lecture 83

Applications of Integrals l Arc length l Arc length using simpson's rule


10:20


Lecture 84

Applications of Integrals l Average value l Average value


6:0


Lecture 85

Application of Integral l Average value l Mean value theorem for integrals


3:58


Lecture 86

Application of Integral l Surface area of revolution


9:35


Lecture 87

Applications of Integrals l Surface area revolution using simpson's rule


11:45


Lecture 88

Applications of Integrals l Surface of revolution equation


5:9


Lecture 89

Applications of Integrals l Volume of revolution l major axe of revolution


36:5


Lecture 90

Applications of Integrals l Volume of revolution l Disks l horizontal axis


8:46


Lecture 91

Applications of Integrals l Volume of revolution l Disks l vertical axis


9:47


Lecture 92

Applications of Integrals l Volume of revolution l Disks l vertical axis


6:25


Lecture 93

Application of Integral l Volume of revolution l Disks l volume of frustum


17:18


Lecture 94

Application of Integral l Volume of revolution l Washers l horizontal axis


10:53


Lecture 95

Application of Integral l Volume of revolution l Washers l horizontal axis


8:2


Lecture 96

Applications of Integral l Volume of revolution l Washers l vertical axis


10:20


Lecture 97

Volume of revolution l Cylindrical shells horizontal axis


11:7


Lecture 98

Volume of revolution l Cylindrical shells l vertical axis


13:25


Lecture 99

Applications of Integrals l Cylindrical shells l vertical axis


10:48


Lecture 100

Work done to lift a mass or weight


7:40


Lecture 101

Applications of Integrals l Work done on elastic springs


8:16


Lecture 102

Applications of Integrals l Work done to empty a tank


18:30


Lecture 103

Applications of Integrals l Work done by a variable force


4:9


Lecture 104

Applications of Integrals l Physics l Moments of the system


4:25


Lecture 105

Applications of Integrals l Physics l Moments of the system, x axis


2:55


Lecture 106

Applications of Integrals l Physics l Center of mass of the system


2:25


Lecture 107

Applications of Integrals l Physics l Center of mass of system, x axis


3:16


Lecture 108

Applications of Integrals l Physics l Hydrostatic pressure


4:57


Lecture 109

Applications of Integrals l Physics l Hydrostatic force




Lecture 110

Applications of Integrals l Physics111 l Vertical motion


9:50


Lecture 111

Applications of Integrals l Physics l Rectilinear motion


5:39


Lecture 112

Applications of Integrals l Geometry l Centroids of plane regions


8:39


Lecture 113

Geometry l Centroids plane regions using simpson's rule


13:26


Lecture 114

Geometry l Area of the triangle with the given vertices


11:36


Lecture 115

Economics l Single deposit l compounded n times l future value


4:41


Lecture 116

Single deposit l compounded n times l present value


10:39


Lecture 117

Single deposit l compounded continuously l future value


2:19


Lecture 118

Integral l Single deposit l compounded continuously l present value


7:20


Lecture 119

Integrals l Income stream l compounded continuously l future value


6:17


Lecture 120

Income stream l compounded continuously l present value l Calcu


3:37


Lecture 121

Applications of Integrals l Economics l Consumer and producer surplus


7:11


Lecture 122

Applications of Integrals l Probability l Probability densit


6:46


Lecture 123

Applications of Integrals Biology l Cardiac output


8:29


Lecture 124

Applications of Integrals l Biology l Cardiac output using simpson's rule


7:51


Lecture 125

Applications of Integrals l Biology l Poiseuille's law


2:26


Lecture 126

Applications of Integrals l Biology l Theorem of pappus


12:24


Lecture 127

Polar l Parametric l Parametric curves l Eliminating the parameter


7:7


Lecture 128

Polar l Parametric l Parametric curves l Derivative of a parametric curve


2:59


Lecture 129

Polar l Parametric l Parametric curves l f parametric curve


3:53


Lecture 130

Polar l Parametric l curves l Sketching parametric curves by plotting point


5:47


Lecture 131

Polar l Parametric l parametric curves l Tangent line to the parametric curve


6:56


Lecture 132

Polar l Parametric l parametric curves l Area under a parametric curve


14:38


Lecture 133

Polar l Parametric l Area under one arc or loop of a parametric curve




Lecture 134

Polar l Parametric l parametric curves l Arc length of a parametric curve


16:22


Lecture 135

Polar l Parametric l parametric curves l Arc length l particle motion


15:46


Lecture 136

Polar l Parametric l parametric curves l Arc length l simpson's rule


9:22


Lecture 137

Polar l Parametric l Surface area of revolution of a parametric curve


8:6


Lecture 138

Polar l Parametric l Surface area of revolution of a parametric curve


12:18


Lecture 139

Polar l Parametric l Volume of revolution of parametric curve


8:42


Lecture 140

Polar l Parametric l Polar curves l Converting to polar coordinates


4:36


Lecture 141

Polar l Parametric l Polar curves l Converting rectangular equation


3:39


Lecture 142

Polar l Parametric l Polar curves l Converting polar equations


2:57


Lecture 143

Polar l Parametric l Polar curves l Distance between polar points


8:57


Lecture 144

Polar l Parametric l Polar curves l Sketching polar curves


10:41


Lecture 145

Parametric l Polar curves l Sketching polar curves from cartesian curves


6:11


Lecture 146

Parametric l Calculus with polar curves l Tangent line to the polar curve


9:48


Lecture 147

Parametric l Vertical and horizontal tangent lines to the polar curve


10:21


Lecture 148

Polar l Parametric l Calculus with polar curves


12:57


Lecture 149

Polar l Parametric l Calculus with polar curves l Area inside polar curve


6:7


Lecture 150

Polar l Parametric l Area bounded by one loop of polar curve


12:26


Lecture 151

Polar l Parametric l Calculus with polar curve l Area between polar curve


14:21


Lecture 152

Polar l Parametric l Calculus with polar curves


12:35


Lecture 153

Polar l Parametric l Calculus with polar curve l Arc length of polar curve


7:29


Lecture 154

Polar l Parametric l Arc length of a polar curve


6:43


Lecture 155

Polar l Parametric l Surface area of revolution of polar curve


7:13


Lecture 156

Sequences l Series l Listing first terms


2:52


Lecture 157

Sequences l Series l Calculating the first terms


3:36


Lecture 158

Sequences l Series l Formula for the general term


6:27


Lecture 159

Sequence l Series l Convergence of sequence


7:46


Lecture 160

Series l Limit of a convergent sequence


5:3


Lecture 161

Series l Sequences l Increasing l decreasing l not monotonic


11:33


Lecture 162

Sequences l Series l Bounded sequences


12:12


Lecture 163

Sequence l Series l Calculating the first terms of sequence of partial sums


5:1


Lecture 164

Sequences l Series l Partial sums l Sum of the sequence of partial sums


4:42


Lecture 165

Sequences l Series l Geometric series


11:39


Lecture 166

Sequences l Series l Geometric series


10:15


Lecture 167

Sequences l Series l Geometric series l Values for which series converges


5:52


Lecture 168

Sequences l Geometric series l Geometric series for repeating decimals


8:38


Lecture 169

Sequences l Convergence of a telescoping series


6:49


Lecture 170

Sequences l Telescoping series l Sum of telescoping series


9:0


Lecture 171

Sequences l Basic convergence tests l Limit vs sum of the series


5:5


Lecture 172

Sequences l Series l Basic convergence tests l Integral test


11:15


Lecture 173

Sequences l Series l Basic convergence l p series test


3:2


Lecture 174

Sequences l Series l Basic convergence tests l nth term test


8:53


Lecture 175

Sequences & Series l Comparison tests


10:33


Lecture 176

Sequences l Series l Limit comparison test


5:55


Lecture 177

Sequences l Comparison tests l Error or remainder of series


11:57


Lecture 178

Sequences l Ratio l root tests


8:32


Lecture 179

Sequence l Series l Ratio test with factorial


10:55


Lecture 180

Sequences l Series l Ratio l root tests


4:30


Lecture 181

Series l Ratio l root test l Absolute l conditional convergence


13:44


Lecture 182

Alternating series test


13:37


Lecture 183

Sequences & Series l Alternating series estimation theorem


13:6


Lecture 184

Sequences l Series l Power series representation


19:55


Lecture 185

Sequences l Power series multiplication


6:52


Lecture 186

Sequences l Series l Power series division


5:14


Lecture 187

Sequences l Series l Power series differentiation


16:32


Lecture 188

Sequences l Series l Power series l Radius of convergence


9:30


Lecture 189

Sequences l Series l Power series l Interval of convergence


16:36


Lecture 190

Sequences l Series l Power series l Estimating definite integrals


11:16


Lecture 191

Power series l Estimating indefinite integral


12:3


Lecture 192

Sequences l Series l Binomial series


27:20


Lecture 193

Sequences l Series l Taylor series


8:0


Lecture 194

Sequences l Series l Radius and interval of convergence of Taylor series


20:44


Lecture 195

Sequences l Series l Taylor series l Taylor's inequality


12:6


Lecture 196

Sequences l Series l Maclaurin series


9:0


Lecture 197

Sequences l Series l Maclaurin series


6:8


Lecture 198

Sequences l Series l Radius and interval of convergence of Maclaurin series


9:34


Lecture 199

Maclaurin series l Indefinite integral as an infinite series


8:1


Lecture 200

Maclaurin series to estimate an indefinite integral


9:39


Lecture 201

Maclaurin series to estimate definite integral


7:18


Lecture 202

Maclaurin series to evaluate a limit


5:39
