-
Урок 1.
00:01:27
Hi! START HERE: Course overview
-
Урок 2.
00:05:11
Antiderivatives and indefinite integrals
-
Урок 3.
00:06:11
Indefinite integrals
-
Урок 4.
00:05:35
Properties of integrals
-
Урок 5.
00:04:43
Find f given f''
-
Урок 6.
00:07:20
Find f given f'''
-
Урок 7.
00:06:55
Initial value problems
-
Урок 8.
00:08:27
Find f given f'' and initial conditions
-
Урок 9.
00:05:07
Definite integrals
-
Урок 10.
00:05:56
Area under or enclosed by the graph
-
Урок 11.
00:05:01
Definite integrals of even functions
-
Урок 12.
00:07:39
Definite integrals of odd functions
-
Урок 13.
00:03:47
Summation notation, finding the sum
-
Урок 14.
00:03:20
Summation notation, expanding
-
Урок 15.
00:05:03
Summation notation, collapsing
-
Урок 16.
00:09:01
Riemann sums, left endpoints
-
Урок 17.
00:15:16
Riemann sums, right endpoints
-
Урок 18.
00:10:22
Riemann sums, midpoints
-
Урок 19.
00:10:08
Over and underestimation
-
Урок 20.
00:16:07
Limit process to find area on [a,b]
-
Урок 21.
00:12:50
Limit process to find area on [-a,a]
-
Урок 22.
00:10:31
Trapezoidal rule
-
Урок 23.
00:10:25
Simpson's rule
-
Урок 24.
00:22:19
Midpoint rule error bound
-
Урок 25.
00:20:53
Trapezoidal rule error bound
-
Урок 26.
00:19:36
Simpson's rule error bound
-
Урок 27.
00:11:33
Part 1
-
Урок 28.
00:07:27
Part 2
-
Урок 29.
00:06:35
Net change theorem
-
Урок 30.
00:08:04
U-substitution
-
Урок 31.
00:10:37
U-substitution in definite integrals
-
Урок 32.
00:07:46
Integration by parts
-
Урок 33.
00:13:37
Integration by parts two times
-
Урок 34.
00:10:31
Integration by parts three times
-
Урок 35.
00:08:56
Integration by parts with u-substitution
-
Урок 36.
00:07:14
Prove the reduction formula
-
Урок 37.
00:08:50
Tabular integration
-
Урок 38.
00:12:40
Distinct linear factors
-
Урок 39.
00:09:00
Distinct linear factors, example 2
-
Урок 40.
00:08:38
Distinct linear factors, example 3
-
Урок 41.
00:16:04
Distinct quadratic factors
-
Урок 42.
00:16:06
Distinct quadratic factors, example 2
-
Урок 43.
00:08:16
Distinct quadratic factors, example 3
-
Урок 44.
00:12:38
Repeated linear factors
-
Урок 45.
00:14:35
Repeated quadratic factors
-
Урок 46.
00:16:41
Repeated quadratic factors, example 2
-
Урок 47.
00:12:30
Rationalizing substitutions
-
Урок 48.
00:20:22
How to factor a difficult denominator
-
Урок 49.
00:19:29
Two ways to find the constants
-
Урок 50.
00:03:10
Trigonometric integrals
-
Урок 51.
00:11:08
Trigonometric integrals, example 2
-
Урок 52.
00:09:59
sin^m cos^n, odd m
-
Урок 53.
00:11:05
sin^m cos^n, odd n
-
Урок 54.
00:07:20
sin^m cos^n, m and n even
-
Урок 55.
00:05:25
tan^m sec^n, odd m
-
Урок 56.
00:05:30
tan^m sec^n, even n
-
Урок 57.
00:05:18
tan^m sec^n, even n, example 2
-
Урок 58.
00:03:38
sin(mx) cos(nx)
-
Урок 59.
00:04:14
sin(mx) sin(nx)
-
Урок 60.
00:04:23
cos(mx) cos(nx)
-
Урок 61.
00:02:37
Hyperbolic integrals
-
Урок 62.
00:03:54
Inverse hyperbolic integrals
-
Урок 63.
00:13:13
Trigonometric substitution setup
-
Урок 64.
00:13:36
Trigonometric substitution with secant
-
Урок 65.
00:12:22
Trigonometric substitution with sine
-
Урок 66.
00:14:49
Trigonometric substitution with sine, example 2
-
Урок 67.
00:14:49
Trigonometric substitution with tangent
-
Урок 68.
00:21:37
Trigonometric substitution with tangent, example 2
-
Урок 69.
00:14:04
Quadratic functions
-
Урок 70.
00:04:34
What makes an integral improper?
-
Урок 71.
00:07:43
Case 1 [a,infinity)
-
Урок 72.
00:05:40
Case 2 (-infinity,b]
-
Урок 73.
00:12:21
Case 3 (-infinity,infinity)
-
Урок 74.
00:14:06
Case 4 (discontinuity at b)
-
Урок 75.
00:06:51
Case 5 (discontinuity at a)
-
Урок 76.
00:08:37
Case 6 (discontinuity between a and b)
-
Урок 77.
00:11:18
Comparison theorem
-
Урок 78.
00:07:14
Integrals using reduction formulas
-
Урок 79.
00:10:30
Upper and lower curves
-
Урок 80.
00:07:04
Left and right curves
-
Урок 81.
00:10:44
Sketching the area between curves
-
Урок 82.
00:11:44
Dividing the area between curves into equal parts
-
Урок 83.
00:07:42
Arc length of a curve in the form y=f(x)
-
Урок 84.
00:11:09
Arc length of a curve in the form x=g(y)
-
Урок 85.
00:10:21
Arc length using simpson's rule
-
Урок 86.
00:06:01
Average value
-
Урок 87.
00:03:59
Mean value theorem for integrals
-
Урок 88.
00:09:35
Surface area of revolution
-
Урок 89.
00:11:45
Surface area of revolution using simpson's ule
-
Урок 90.
00:05:09
Surface of revolution equation
-
Урок 91.
00:36:06
Volume of revolution, major axes of revolution
-
Урок 92.
00:08:46
Disks, horizontal axis
-
Урок 93.
00:09:48
Disks, vertical axis
-
Урок 94.
00:06:26
Disks, vertical axis, example 2
-
Урок 95.
00:17:19
Disks, volume of the frustum
-
Урок 96.
00:10:54
Washers, horizontal axis
-
Урок 97.
00:08:02
Washers, horizontal axis, example 2
-
Урок 98.
00:10:21
Washers, vertical axis
-
Урок 99.
00:11:08
Cylindrical shells, horizontal axis
-
Урок 100.
00:13:25
Cylindrical shells, vertical axis
-
Урок 101.
00:10:49
Cylindrical shells, vertical axis, example 2
-
Урок 102.
00:07:40
Work done to lift a mass or weight
-
Урок 103.
00:08:16
Work done on elastic springs
-
Урок 104.
00:18:30
Work done to empty a tank
-
Урок 105.
00:04:09
Work done by a variable force
-
Урок 106.
00:04:25
Moments of the system
-
Урок 107.
00:02:56
Moments of the system, x-axis
-
Урок 108.
00:03:17
Center of mass of the system
-
Урок 109.
00:02:26
Center of mass of the system, x-axis
-
Урок 110.
00:04:58
Hydrostatic pressure
-
Урок 111.
00:10:20
Hydrostatic force
-
Урок 112.
00:09:51
Vertical motion
-
Урок 113.
00:05:40
Rectilinear motion
-
Урок 114.
00:08:40
Centroids of plane regions
-
Урок 115.
00:13:27
Centroids of plane regions using simpson's rule
-
Урок 116.
00:11:36
Area of the triangle with the given vertices
-
Урок 117.
00:04:41
Single deposit, compounded n times, future value
-
Урок 118.
00:10:40
Single deposit, compounded n times, present value
-
Урок 119.
00:02:19
Single deposit, compounded continuously, future value
-
Урок 120.
00:07:20
Single deposit, compounded continuously, present value
-
Урок 121.
00:06:18
Income stream, compounded continuously, future value
-
Урок 122.
00:03:37
Income stream, compounded continuously, present value
-
Урок 123.
00:07:12
Consumer and producer surplus
-
Урок 124.
00:06:47
Probability density
-
Урок 125.
00:08:30
Cardiac output
-
Урок 126.
00:07:52
Cardiac output using simpson's rule
-
Урок 127.
00:02:26
Poiseuille's law
-
Урок 128.
00:12:24
Theorem of pappus
-
Урок 129.
00:07:08
Eliminating the parameter
-
Урок 130.
00:03:00
Derivative of a parametric curve
-
Урок 131.
00:03:53
Second derivative of a parametric curve
-
Урок 132.
00:05:47
Sketching parametric curves by plotting points
-
Урок 133.
00:06:57
Tangent line to the parametric curve
-
Урок 134.
00:14:38
Area under a parametric curve
-
Урок 135.
00:06:54
Area under one arc or loop of a parametric curve
-
Урок 136.
00:16:23
Arc length of a parametric curve
-
Урок 137.
00:15:47
Arc length, particle motion
-
Урок 138.
00:09:23
Arc length, simpson's rule
-
Урок 139.
00:08:06
Surface area of revolution of a parametric curve, horizontal axis
-
Урок 140.
00:12:19
Surface area of revolution of a parametric curve, vertical axis
-
Урок 141.
00:08:43
Volume of revolution of a parametric curve
-
Урок 142.
00:04:36
Converting to polar coordinates
-
Урок 143.
00:03:39
Converting rectangular equations
-
Урок 144.
00:02:58
Converting polar equations
-
Урок 145.
00:08:58
Distance between polar points
-
Урок 146.
00:10:42
Sketching polar curves
-
Урок 147.
00:06:11
Sketching polar curves from cartesian curves
-
Урок 148.
00:09:49
Tangent line to the polar curve
-
Урок 149.
00:10:22
Vertical and horizontal tangent lines to the polar curve
-
Урок 150.
00:12:57
Intersection of polar curves
-
Урок 151.
00:06:08
Area inside a polar curve
-
Урок 152.
00:12:27
Area bounded by one loop of a polar curve
-
Урок 153.
00:14:22
Area between polar curves
-
Урок 154.
00:12:35
Area inside both polar curves
-
Урок 155.
00:07:29
Arc length of a polar curve
-
Урок 156.
00:06:44
Arc length of a polar curve, example 2
-
Урок 157.
00:07:14
Surface area of revolution of a polar curve
-
Урок 158.
00:02:53
Listing the first terms
-
Урок 159.
00:03:37
Calculating the first terms
-
Урок 160.
00:06:28
Formula for the general term
-
Урок 161.
00:07:47
Convergence of a sequence
-
Урок 162.
00:05:04
Limit of a convergent sequence
-
Урок 163.
00:11:34
Increasing, decreasing, and not monotonic
-
Урок 164.
00:12:13
Bounded sequences
-
Урок 165.
00:05:02
Calculating the first terms of a sequence of partial sums
-
Урок 166.
00:04:42
Sum of the sequence of partial sums
-
Урок 167.
00:11:40
Geometric series test
-
Урок 168.
00:10:16
Sum of the geometric series
-
Урок 169.
00:05:53
Values for which the series converges
-
Урок 170.
00:08:38
Geometric series for repeating decimals
-
Урок 171.
00:06:50
Convergence of a telescoping series
-
Урок 172.
00:09:00
Sum of a telescoping series
-
Урок 173.
00:05:06
Limit vs. sum of the series
-
Урок 174.
00:11:16
Integral test
-
Урок 175.
00:03:03
p-series test
-
Урок 176.
00:08:54
nth term test
-
Урок 177.
00:10:34
Comparison test
-
Урок 178.
00:05:56
Limit comparison test
-
Урок 179.
00:11:58
Error or remainder of a series
-
Урок 180.
00:08:33
Ratio test
-
Урок 181.
00:10:55
Ratio test with factorials
-
Урок 182.
00:04:31
Root test
-
Урок 183.
00:13:45
Absolute and conditional convergence
-
Урок 184.
00:13:38
Alternating series test
-
Урок 185.
00:13:06
Alternating series estimation theorem
-
Урок 186.
00:19:56
Power series representation
-
Урок 187.
00:06:53
Power series multiplication
-
Урок 188.
00:05:15
Power series division
-
Урок 189.
00:16:32
Power series differentiation
-
Урок 190.
00:09:31
Radius of convergence
-
Урок 191.
00:16:37
Interval of convergence
-
Урок 192.
00:11:17
Estimating definite integrals
-
Урок 193.
00:12:04
Estimating indefinite integrals
-
Урок 194.
00:27:20
Binomial series
-
Урок 195.
00:08:00
Taylor series
-
Урок 196.
00:20:45
Radius and interval of convergence of a Taylor series
-
Урок 197.
00:12:07
Taylor's inequality
-
Урок 198.
00:09:01
Maclaurin series
-
Урок 199.
00:06:09
Sum of the Maclaurin series
-
Урок 200.
00:09:35
Radius and interval of convergence of a Maclaurin series
-
Урок 201.
00:08:01
Indefinite integral as an infinite series
-
Урок 202.
00:09:40
Maclaurin series to estimate an indefinite integral
-
Урок 203.
00:07:19
Maclaurin series to estimate a definite integral
-
Урок 204.
00:05:40
Maclaurin series to evaluate a limit
-
Урок 205.
00:00:26
Wrap-up
Обновите пожалуйста этот курс
Видосы старые