Section 1 : Calculus 2 l A-Z Calculus

Lecture 1 Getting started l Course overview l A to Z Calculus 2 00:01:24 Duration
Lecture 2 Integrals l Antiderivatives and indefinite integrals 00:05:11 Duration
Lecture 3 Integrals l Indefinite integrals l A to Z Calculus 2 00:06:10 Duration
Lecture 4 Integrals l Properties of integrals l A to Z Calculus 2 00:05:34 Duration
Lecture 5 Integrals l Find f given f'' 00:04:42 Duration
Lecture 6 Integrals l Find f given f''' l A complete comprehensive calculus 00:07:19 Duration
Lecture 7 Integrals l Initial value problems 00:06:54 Duration
Lecture 8 Integrals l Find f given f'' l initial conditions 00:08:26 Duration
Lecture 9 Integrals l Definite integrals l A to Z Calculus 2 00:05:07 Duration
Lecture 10 Integrals l Definite integrals l Area under or enclosed by the graph 00:05:55 Duration
Lecture 11 Definite integrals of even functions 00:05:00 Duration
Lecture 12 Integrals l Definite integrals of odd function 00:07:38 Duration
Lecture 13 Integrals l Riemann sums l Summation notation l finding the sum 00:03:47 Duration
Lecture 14 Integrals l Riemann sums l Summation notation 00:03:19 Duration
Lecture 15 Riemann sums l Summation notation, collapsing 00:05:03 Duration
Lecture 16 Riemann sums l Riemann sums l left endpoints 00:09:01 Duration
Lecture 17 Riemann sums l Riemann sums l right endpoints 00:15:15 Duration
Lecture 18 Integral l Other approximation method l Over and underestimation 00:10:08 Duration
Lecture 19 Other approximation methods l Limit process to find area on a,b 00:16:06 Duration
Lecture 20 Other approximation methods l Limit process find area on a,a 00:12:50 Duration
Lecture 21 Other approximation method l Trapezoidal rule 00:10:31 Duration
Lecture 22 Integrals l Other approximation methods l Simpson's rule 00:10:25 Duration
Lecture 23 Error bounds l Midpoint rule error bound 00:22:18 Duration
Lecture 24 Integrals l Error bounds l Simpson's rule error bound 00:19:35 Duration
Lecture 25 Error bounds l Trapezoidal rule error bound 00:20:52 Duration
Lecture 26 Fundamental theorem of calculus l Part 1 00:11:32 Duration
Lecture 27 Fundamental theorem of calculus l Part 2 00:07:26 Duration
Lecture 28 Fundamental theorem of calculus l Net change theorem 00:06:34 Duration
Lecture 29 U-substitution 00:08:04 Duration
Lecture 30 U-substitution l U substitution in definite integrals 00:10:36 Duration
Lecture 31 Integration by parts 00:07:46 Duration
Lecture 32 Integrals l Integration by part l Integration by parts two time 00:13:36 Duration
Lecture 33 Integration by parts l Integration by parts three times 00:10:31 Duration
Lecture 34 Integration by parts l Integration by parts with u substitution
Lecture 35 Integration by parts l reduction formula 00:07:13 Duration
Lecture 36 Integration by parts l Tabular integration 00:08:49 Duration
Lecture 37 Integrals l Partial fractions l Distinct linear factors 00:12:39 Duration
Lecture 38 Partial fractions l Distinct linear factors 00:08:59 Duration
Lecture 39 Integrals l Partial fractions l Distinct linear factors 00:08:38 Duration
Lecture 40 Partial fractions l Distinct quadratic factors 00:16:03 Duration
Lecture 41 Partial fraction l Distinct quadratic factor 00:16:05 Duration
Lecture 42 Partial fractions l Distinct quadratic factors 00:08:15 Duration
Lecture 43 Partial fractions l Repeated linear factors 00:12:37 Duration
Lecture 44 Partial fraction l Repeated quadratic factor 00:14:34 Duration
Lecture 45 Integrals l Partial fractions l Repeated quadratic factors 00:16:40 Duration
Lecture 46 Integrals l Rationalizing substitutions 00:12:29 Duration
Lecture 47 Partial fractions l How to factor a difficult denominator 00:20:22 Duration
Lecture 48 Partial fractions l Two ways to find the constants 00:19:28 Duration
Lecture 49 Trigonometric integral 00:03:10 Duration
Lecture 50 Trigonometric integrals 00:11:07 Duration
Lecture 51 Trigonometric integrals l sin^m cos^n, odd m 00:09:58 Duration
Lecture 52 Integrals l Trigonometric integrals l sin^m cos^n, odd n 00:11:05 Duration
Lecture 53 Trigonometric integrals l sin^m cos^n, m and n even 00:07:19 Duration
Lecture 54 Trigonometric integrals l tan^m sec^n, odd m 00:05:24 Duration
Lecture 55 Trigonometric integrals -55 l tan^m sec^n, even n 00:05:30 Duration
Lecture 56 Integrals l Trigonometric integrals l tan^m sec^n, even n 00:05:17 Duration
Lecture 57 Integrals l Trigonometric integrals l sinmx cosnx 00:03:37 Duration
Lecture 58 Trigonometric integrals l sinmx sinnx 00:04:13 Duration
Lecture 59 Integrals l Trigonometric integrals l cosmx cosnx 00:04:23 Duration
Lecture 60 Integrals l Hyperbolic integrals 00:02:36 Duration
Lecture 61 Hyperbolic integrals l Inverse hyperbolic integrals 00:03:53 Duration
Lecture 62 Trigonometric substitution 00:13:12 Duration
Lecture 63 Integrals l Trigonometric substitution with secant 00:13:36 Duration
Lecture 64 Trigonometric substitution with sine 00:12:21 Duration
Lecture 65 Trigonometric substitution with sine
Lecture 66 Integrals l Trigonometric substitution with tangent 00:14:48 Duration
Lecture 67 Trigonometric substitution with a tangent 00:21:36 Duration
Lecture 68 Trigonometric substitution l Quadratic function 00:14:03 Duration
Lecture 69 Improper integrals l What makes an integral improper 00:04:33 Duration
Lecture 70 Improper integrals l infinity 00:07:43 Duration
Lecture 71 Improper integrals l Case 2 l infinity,b 00:05:39 Duration
Lecture 72 Improper integrals l Case 3 l infinity 00:12:20 Duration
Lecture 73 Improper integrals l discontinuity at b 00:14:06 Duration
Lecture 74 Improper integrals l Case 5 l discontinuity at a 00:06:51 Duration
Lecture 75 Improper integrals l discontinuity between a and b 00:08:36 Duration
Lecture 76 Integrals l Improper integrals l Comparison theorem 00:11:17 Duration
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 00:07:03 Duration
Lecture 79 Application of Integral l Area between curve l Sketching area between curves 00:10:43 Duration
Lecture 80 Applications of Integrals l Dividing area between curves into equal parts 00:11:43 Duration
Lecture 81 Applications of Integrals l Arc length l Arc length curve in the form y=fx 00:07:42 Duration
Lecture 82 Application of Integral l Arc length l Arc length of curve in the form x=gy 00:11:09 Duration
Lecture 83 Applications of Integrals l Arc length l Arc length using simpson's rule 00:10:20 Duration
Lecture 84 Applications of Integrals l Average value l Average value 00:06:00 Duration
Lecture 85 Application of Integral l Average value l Mean value theorem for integrals 00:03:58 Duration
Lecture 86 Application of Integral l Surface area of revolution 00:09:35 Duration
Lecture 87 Applications of Integrals l Surface area revolution using simpson's rule 00:11:45 Duration
Lecture 88 Applications of Integrals l Surface of revolution equation 00:05:09 Duration
Lecture 89 Applications of Integrals l Volume of revolution l major axe of revolution 00:36:05 Duration
Lecture 90 Applications of Integrals l Volume of revolution l Disks l horizontal axis 00:08:46 Duration
Lecture 91 Applications of Integrals l Volume of revolution l Disks l vertical axis 00:09:47 Duration
Lecture 92 Applications of Integrals l Volume of revolution l Disks l vertical axis 00:06:25 Duration
Lecture 93 Application of Integral l Volume of revolution l Disks l volume of frustum 00:17:18 Duration
Lecture 94 Application of Integral l Volume of revolution l Washers l horizontal axis 00:10:53 Duration
Lecture 95 Application of Integral l Volume of revolution l Washers l horizontal axis 00:08:02 Duration
Lecture 96 Applications of Integral l Volume of revolution l Washers l vertical axis 00:10:20 Duration
Lecture 97 Volume of revolution l Cylindrical shells horizontal axis 00:11:07 Duration
Lecture 98 Volume of revolution l Cylindrical shells l vertical axis 00:13:25 Duration
Lecture 99 Applications of Integrals l Cylindrical shells l vertical axis 00:10:48 Duration
Lecture 100 Work done to lift a mass or weight 00:07:40 Duration
Lecture 101 Applications of Integrals l Work done on elastic springs 00:08:16 Duration
Lecture 102 Applications of Integrals l Work done to empty a tank 00:18:30 Duration
Lecture 103 Applications of Integrals l Work done by a variable force 00:04:09 Duration
Lecture 104 Applications of Integrals l Physics l Moments of the system 00:04:25 Duration
Lecture 105 Applications of Integrals l Physics l Moments of the system, x axis 00:02:55 Duration
Lecture 106 Applications of Integrals l Physics l Center of mass of the system 00:02:25 Duration
Lecture 107 Applications of Integrals l Physics l Center of mass of system, x axis 00:03:16 Duration
Lecture 108 Applications of Integrals l Physics l Hydrostatic pressure 00:04:57 Duration
Lecture 109 Applications of Integrals l Physics l Hydrostatic force
Lecture 110 Applications of Integrals l Physics-111 l Vertical motion 00:09:50 Duration
Lecture 111 Applications of Integrals l Physics l Rectilinear motion 00:05:39 Duration
Lecture 112 Applications of Integrals l Geometry l Centroids of plane regions 00:08:39 Duration
Lecture 113 Geometry l Centroids plane regions using simpson's rule 00:13:26 Duration
Lecture 114 Geometry l Area of the triangle with the given vertices 00:11:36 Duration
Lecture 115 Economics l Single deposit l compounded n times l future value 00:04:41 Duration
Lecture 116 Single deposit l compounded n times l present value 00:10:39 Duration
Lecture 117 Single deposit l compounded continuously l future value 00:02:19 Duration
Lecture 118 Integral l Single deposit l compounded continuously l present value 00:07:20 Duration
Lecture 119 Integrals l Income stream l compounded continuously l future value 00:06:17 Duration
Lecture 120 Income stream l compounded continuously l present value l Calcu 00:03:37 Duration
Lecture 121 Applications of Integrals l Economics l Consumer and producer surplus 00:07:11 Duration
Lecture 122 Applications of Integrals l Probability l Probability densit 00:06:46 Duration
Lecture 123 Applications of Integrals Biology l Cardiac output 00:08:29 Duration
Lecture 124 Applications of Integrals l Biology l Cardiac output using simpson's rule 00:07:51 Duration
Lecture 125 Applications of Integrals l Biology l Poiseuille's law 00:02:26 Duration
Lecture 126 Applications of Integrals l Biology l Theorem of pappus 00:12:24 Duration
Lecture 127 Polar l Parametric l Parametric curves l Eliminating the parameter 00:07:07 Duration
Lecture 128 Polar l Parametric l Parametric curves l Derivative of a parametric curve 00:02:59 Duration
Lecture 129 Polar l Parametric l Parametric curves l f parametric curve 00:03:53 Duration
Lecture 130 Polar l Parametric l curves l Sketching parametric curves by plotting point 00:05:47 Duration
Lecture 131 Polar l Parametric l parametric curves l Tangent line to the parametric curve 00:06:56 Duration
Lecture 132 Polar l Parametric l parametric curves l Area under a parametric curve 00:14:38 Duration
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 00:16:22 Duration
Lecture 135 Polar l Parametric l parametric curves l Arc length l particle motion 00:15:46 Duration
Lecture 136 Polar l Parametric l parametric curves l Arc length l simpson's rule 00:09:22 Duration
Lecture 137 Polar l Parametric l Surface area of revolution of a parametric curve 00:08:06 Duration
Lecture 138 Polar l Parametric l Surface area of revolution of a parametric curve 00:12:18 Duration
Lecture 139 Polar l Parametric l Volume of revolution of parametric curve 00:08:42 Duration
Lecture 140 Polar l Parametric l Polar curves l Converting to polar coordinates 00:04:36 Duration
Lecture 141 Polar l Parametric l Polar curves l Converting rectangular equation 00:03:39 Duration
Lecture 142 Polar l Parametric l Polar curves l Converting polar equations 00:02:57 Duration
Lecture 143 Polar l Parametric l Polar curves l Distance between polar points 00:08:57 Duration
Lecture 144 Polar l Parametric l Polar curves l Sketching polar curves 00:10:41 Duration
Lecture 145 Parametric l Polar curves l Sketching polar curves from cartesian curves 00:06:11 Duration
Lecture 146 Parametric l Calculus with polar curves l Tangent line to the polar curve 00:09:48 Duration
Lecture 147 Parametric l Vertical and horizontal tangent lines to the polar curve 00:10:21 Duration
Lecture 148 Polar l Parametric l Calculus with polar curves 00:12:57 Duration
Lecture 149 Polar l Parametric l Calculus with polar curves l Area inside polar curve 00:06:07 Duration
Lecture 150 Polar l Parametric l Area bounded by one loop of polar curve 00:12:26 Duration
Lecture 151 Polar l Parametric l Calculus with polar curve l Area between polar curve 00:14:21 Duration
Lecture 152 Polar l Parametric l Calculus with polar curves 00:12:35 Duration
Lecture 153 Polar l Parametric l Calculus with polar curve l Arc length of polar curve 00:07:29 Duration
Lecture 154 Polar l Parametric l Arc length of a polar curve 00:06:43 Duration
Lecture 155 Polar l Parametric l Surface area of revolution of polar curve 00:07:13 Duration
Lecture 156 Sequences l Series l Listing first terms 00:02:52 Duration
Lecture 157 Sequences l Series l Calculating the first terms 00:03:36 Duration
Lecture 158 Sequences l Series l Formula for the general term 00:06:27 Duration
Lecture 159 Sequence l Series l Convergence of sequence 00:07:46 Duration
Lecture 160 Series l Limit of a convergent sequence 00:05:03 Duration
Lecture 161 Series l Sequences l Increasing l decreasing l not monotonic 00:11:33 Duration
Lecture 162 Sequences l Series l Bounded sequences 00:12:12 Duration
Lecture 163 Sequence l Series l Calculating the first terms of sequence of partial sums 00:05:01 Duration
Lecture 164 Sequences l Series l Partial sums l Sum of the sequence of partial sums 00:04:42 Duration
Lecture 165 Sequences l Series l Geometric series 00:11:39 Duration
Lecture 166 Sequences l Series l Geometric series 00:10:15 Duration
Lecture 167 Sequences l Series l Geometric series l Values for which series converges 00:05:52 Duration
Lecture 168 Sequences l Geometric series l Geometric series for repeating decimals 00:08:38 Duration
Lecture 169 Sequences l Convergence of a telescoping series 00:06:49 Duration
Lecture 170 Sequences l Telescoping series l Sum of telescoping series 00:09:00 Duration
Lecture 171 Sequences l Basic convergence tests l Limit vs sum of the series 00:05:05 Duration
Lecture 172 Sequences l Series l Basic convergence tests l Integral test 00:11:15 Duration
Lecture 173 Sequences l Series l Basic convergence l p series test 00:03:02 Duration
Lecture 174 Sequences l Series l Basic convergence tests l nth term test 00:08:53 Duration
Lecture 175 Sequences & Series l Comparison tests 00:10:33 Duration
Lecture 176 Sequences l Series l Limit comparison test 00:05:55 Duration
Lecture 177 Sequences l Comparison tests l Error or remainder of series 00:11:57 Duration
Lecture 178 Sequences l Ratio l root tests 00:08:32 Duration
Lecture 179 Sequence l Series l Ratio test with factorial 00:10:55 Duration
Lecture 180 Sequences l Series l Ratio l root tests 00:04:30 Duration
Lecture 181 Series l Ratio l root test l Absolute l conditional convergence 00:13:44 Duration
Lecture 182 Alternating series test 00:13:37 Duration
Lecture 183 Sequences & Series l Alternating series estimation theorem 00:13:06 Duration
Lecture 184 Sequences l Series l Power series representation 00:19:55 Duration
Lecture 185 Sequences l Power series multiplication 00:06:52 Duration
Lecture 186 Sequences l Series l Power series division 00:05:14 Duration
Lecture 187 Sequences l Series l Power series differentiation 00:16:32 Duration
Lecture 188 Sequences l Series l Power series l Radius of convergence 00:09:30 Duration
Lecture 189 Sequences l Series l Power series l Interval of convergence 00:16:36 Duration
Lecture 190 Sequences l Series l Power series l Estimating definite integrals 00:11:16 Duration
Lecture 191 Power series l Estimating indefinite integral 00:12:03 Duration
Lecture 192 Sequences l Series l Binomial series 00:27:20 Duration
Lecture 193 Sequences l Series l Taylor series 00:08:00 Duration
Lecture 194 Sequences l Series l Radius and interval of convergence of Taylor series 00:20:44 Duration
Lecture 195 Sequences l Series l Taylor series l Taylor's inequality 00:12:06 Duration
Lecture 196 Sequences l Series l Maclaurin series 00:09:00 Duration
Lecture 197 Sequences l Series l Maclaurin series 00:06:08 Duration
Lecture 198 Sequences l Series l Radius and interval of convergence of Maclaurin series 00:09:34 Duration
Lecture 199 Maclaurin series l Indefinite integral as an infinite series 00:08:01 Duration
Lecture 200 Maclaurin series to estimate an indefinite integral 00:09:39 Duration
Lecture 201 Maclaurin series to estimate definite integral 00:07:18 Duration
Lecture 202 Maclaurin series to evaluate a limit 00:05:39 Duration