Section 1 : comprehensive calculus course
Lecture 1 Calculus l Introduction l Resources l Course overview 00:01:24 Duration
Lecture 2 Foundations of Calculus l Functions l Introduction to functions 00:04:52 Duration
Lecture 3 Foundations of Calculus l Functions l Vertical line test 00:06:10 Duration
Lecture 4 Foundations of Calculus l Functions l Domain and range 00:08:40 Duration
Lecture 5 Foundations of Calculus l Functions l Domain and range from a graph 00:04:28 Duration
Lecture 6 Foundation of Calculus l Functions l Even l odd l neither 00:04:11 Duration
Lecture 7 Foundation of Calculus l Graphing function l Equation modeling 00:06:28 Duration
Lecture 8 Foundation of Calculus l Graphing function l Modeling piecewise defined 00:05:28 Duration
Lecture 9 Foundation of Calculus l Graphing function l Sketching graphs story problems 00:04:07 Duration
Lecture 10 Graphing functions l Equation of line in point slope form l A to Z calculus 00:08:28 Duration
Lecture 11 Foundations of Calculus l Equation of a line in slope intercept form 00:06:28 Duration
Lecture 12 Foundation Calculus l Graphing parabola l A to Z Calculus I Learn Calculus
Lecture 13 Foundations of Calculus l Center and radius of a circle l A to Z Calculus 00:05:47 Duration
Lecture 14 Foundation Calculus l Graphing circles l A to Z Calculus I Learn Calculus 00:06:55 Duration
Lecture 15 Foundation of Calculus l Modifying functions l Combinations of function 00:06:08 Duration
Lecture 16 Foundations of Calculus l Modifying functions l Composite functions 00:04:27 Duration
Lecture 17 Foundation of Calculus l Modifying functions l Composite functions l domain 00:14:32 Duration
Lecture 18 Foundations of Calculus l One to one functions and the horizontal line test 00:04:11 Duration
Lecture 19 Foundation Calculus l Inverse functions 00:06:01 Duration
Lecture 20 Foundation of Calculus l Finding function from it inverse 00:06:08 Duration
Lecture 21 Foundations of Calculus l Laws of logarithms 00:04:21 Duration
Lecture 22 Foundations of Calculus l Quadratic formula 00:04:29 Duration
Lecture 23 Foundation of Calculus l Completing the square 00:05:04 Duration
Lecture 24 Foundations of Calculus l Long division of polynomials 00:04:54 Duration
Lecture 25 Foundations of Calculus l The unit circle 00:18:16 Duration
Lecture 26 Limits l Continuity l Idea of the limit l Introduction to idea of the limit 00:01:17 Duration
Lecture 27 Limits & Continuity l Idea of the limit 00:07:53 Duration
Lecture 28 Limits l Continuity l Idea of the limit l One sided limit 00:09:25 Duration
Lecture 29 Limits l Continuity l Idea of the limit l Proving that limit does not exist 00:05:43 Duration
Lecture 30 Limits l Continuity Idea of the limit l Precise definition of the limit 00:11:28 Duration
Lecture 31 Limits l Continuity l Introduction to combinations l composites 00:01:10 Duration
Lecture 32 Limits & Continuity l Limits of combinations 00:09:01 Duration
Lecture 33 Limits Continuity l Limits of composites 00:21:40 Duration
Lecture 34 Limits Continuity l Continuity 00:01:03 Duration
Lecture 35 Limits l Continuity l Point discontinuities 00:08:15 Duration
Lecture 36 Lecture 36 l Limits l Continuity l Jump discontinuities 00:09:16 Duration
Lecture 37 Limit l Continuity l Continuity l Infinite discontinuities 00:07:39 Duration
Lecture 38 Limit l Continuity l intermediate value theorem l TeachingBharat l Calculus 00:00:45 Duration
Lecture 39 Limits l Continuity l Intermediate value theorem with an interval Calculus 00:06:56 Duration
Lecture 40 Limits l Continuity l Intermediate value theorem without interval 00:06:22 Duration
Lecture 41 Limits l Continuity l Solving limits l Introduction to solving limits 00:00:49 Duration
Lecture 42 Limits l Continuity l Solving limit l Solving with substitution l Calculus 00:02:47 Duration
Lecture 43 Limits l Continuity l Solving limits l Solving with factoring l Calculus 1 00:04:31 Duration
Lecture 44 Limits l Continuity l Solving limits l Solving with conjugate method 00:06:28 Duration
Lecture 45 Limits l Continuity l Solving limits l Infinite limits vertical asymptotes 00:13:26 Duration
Lecture 46 Limits l Continuity l Solving limits l Crazy graphs 00:07:47 Duration
Lecture 47 Limits l Continuity l Solving limit l Trigonometric limits 00:04:49 Duration
Lecture 48 Limits l Continuity l Solving limits l Making the function continuous 00:11:10 Duration
Lecture 49 Limits l Continuity l Introduction to squeeze theorem 00:00:56 Duration
Lecture 50 Limits l Continuity l Squeeze theorem 00:04:35 Duration
Lecture 51 Limits l Continuity l Squeeze theorem, limit of an inequality 00:03:02 Duration
Lecture 52 Derivatives l Introduction to definition of the derivative 00:00:55 Duration
Lecture 53 Derivatives l Definition of the derivative l Calculus 1 00:12:15 Duration
Lecture 54 Derivatives l Derivative rule l Introduction to derivative rule l Calculus 1 00:01:03 Duration
Lecture 55 Derivatives l Derivative rules l Power rule l Teaching Bharat l Calculus 1 00:05:21 Duration
Lecture 56 Derivatives l Derivative rule l Power rule for negative powers l Calculus1 00:07:32 Duration
Lecture 57 Derivatives l Derivative rule l Power rule fractional powers l Calculus 1 00:10:10 Duration
Lecture 58 Derivatives l Derivative rules l Product rule l two functions l Calculus 1 00:09:51 Duration
Lecture 59 Derivatives l Derivative rules l Product rule, three or more functions 00:07:07 Duration
Lecture 60 Derivative l Derivative rule l Quotient rule l Teaching Bharat l Calculus1
Lecture 61 Derivatives l Chain rule l Introduction to chain rule 00:00:48 Duration
Lecture 62 Derivatives l Chain rule l Chain rule with power rule 00:06:27 Duration
Lecture 63 Derivatives l Chain rule l Chain rule with product rule 00:08:36 Duration
Lecture 64 Derivatives l Chain rule l Chain rule with quotient rule 00:07:16 Duration
Lecture 65 Derivatives l Derivatives of trig functions l Introduction t l Calculus 1 00:00:53 Duration
Lecture 66 Derivatives l Derivatives of trig functions l Trigonometric derivatives 00:19:08 Duration
Lecture 67 Derivatives of trig functions l Inverse trigonometric derivative l Calculus 00:04:51 Duration
Lecture 68 Derivatives of trig functions l Hyperbolic derivatives l Calculus 1 00:04:21 Duration
Lecture 69 Derivatives of trig functions l Inverse hyperbolic derivatives 00:04:40 Duration
Lecture 70 Derivatives of ln(x) and e^x l Calculus1 l Learn Calculus 00:00:45 Duration
Lecture 71 Derivatives of ln(x) and e^x l Exponential derivatives 00:06:48 Duration
Lecture 72 Derivatives of ln(x) and e^x l Logarithmic derivatives l Calculus 1 00:05:55 Duration
Lecture 73 Derivatives of ln(x) e^x l Logarithmic differentiation
Lecture 74 Tangent and normal lines l Introduction to tangent and normal lines 00:00:57 Duration
Lecture 75 Derivatives l Tangent and normal lines l Tangent lines 00:07:59 Duration
Lecture 76 Tangent and normal lines l Value that makes two tangent lines parallel 00:15:18 Duration
Lecture 77 Tangent and normal lines l Values that make the function differentiable 00:08:11 Duration
Lecture 78 Tangent and normal lines l Normal lines l Calculus 1 l Teaching Bharat 00:04:28 Duration
Lecture 79 Tangent and normal lines l Average rate of change l Calculus 1 00:05:52 Duration
Lecture 80 Implicit differentiation l Introduction to implicit differentiation 00:01:07 Duration
Lecture 81 Implicit differentiation l Calculus 1 l Calculus Videos 00:10:23 Duration
Lecture 82 Equation of the tangent line with implicit differentiation l Calculus 1 00:07:24 Duration
Lecture 83 Second derivatives with implicit differentiation l Calculus 1 00:08:15 Duration
Lecture 84 Applications of Derivatives l Introduction to optimization sketching graph 00:01:04 Duration
Lecture 85 Applications of Derivative l Critical point l Calculus 1 00:16:05 Duration
Lecture 86 Applications of Derivatives l Increasing and decreasing l Calculus 1 00:08:15 Duration
Lecture 87 Applications of Derivatives l First derivative test l Calculus 1 00:15:26 Duration
Lecture 88 Applications of Derivatives l Concavity 00:07:06 Duration
Lecture 89 Applications of Derivatives l Second derivative test l Calculus 1 00:03:43 Duration
Lecture 90 Applications of Derivatives l Vertical asymptotes l Calculus 1 00:09:56 Duration
Lecture 91 Applications of Derivatives l Horizontal asymptotes l Calculus 1 00:08:11 Duration
Lecture 92 Applications of Derivatives l Slant asymptotes l Calculus 1 00:03:55 Duration
Lecture 93 Applications of Derivatives l Sketching graphs l Calculus 1 00:09:57 Duration
Lecture 94 Applications of Derivatives l Extrema on a closed interval l Calculus 1 00:13:19 Duration
Lecture 95 Applications of Derivatives l Sketching fx from f'x l Calculus 1 00:29:45 Duration
Lecture 96 Applications of Derivatives l Introduction to linear approximation 00:00:55 Duration
Lecture 97 Applications of Derivatives l Linear approximation l Calculus 1 00:04:23 Duration
Lecture 98 Applications of Derivatives l Estimating a root l Calculus 1 00:08:10 Duration
Lecture 99 Applications of Derivatives l Related rates l Introduction to related rate 00:00:54 Duration
Lecture 100 Applications of Derivatives l Related rates l Radius of the balloon 00:06:05 Duration
Lecture 101 Applications of Derivatives - Related rates - Price of the product 00:05:08 Duration
Lecture 102 Applications of Derivatives - Related rates - Water level in the tank 00:08:30 Duration
Lecture 103 Applications of Derivatives - Related rates - Observer and the airplane 00:10:29 Duration
Lecture 104 Applications of Derivatives - Related rates - Ladder sliding down the wall 00:06:58 Duration
Lecture 105 Applications of Derivatives - Introduction to applied optimization 00:00:40 Duration
Lecture 106 Applications of Derivatives - Dimensions of a rectangle that maximize its area 00:06:07 Duration
Lecture 107 Applications of Derivatives - Dimensions of a rectangle that minimize its perimeter 00:10:24 Duration
Lecture 108 Applications - Dimensions that minimize page size with a given printed area 00:14:00 Duration
Lecture 109 Applications of Derivatives - Two real numbers with minimum product 00:06:51 Duration
Lecture 110 Applications of Derivatives - Two real numbers with minimum sum of squares 00:08:43 Duration
Lecture 111 Applications of Derivatives - Point on the line closest to another point 00:07:17 Duration
Lecture 112 Applications of Derivatives - Time when velocity is minimum 00:05:44 Duration
Lecture 113 Applications of Derivatives - Dimensions that maximize the volume of a box 00:10:09 Duration
Lecture 114 Applications of - Dimensions that minimize the surface area of an open top box 00:11:35 Duration
Lecture 115 Applications of Derivatives - Width that minimizes the surface area of an open top box 00:11:30 Duration
Lecture 116 Applications of Derivatives - Dimensions that maximize the volume of a cylinder 00:12:32 Duration
Lecture 117 Applications of Derivatives - Dimensions that minimize the surface area of a cylinder 00:08:38 Duration
Lecture 118 Applications of Derivatives - Maximum volume of a cone shaped cup 00:11:04 Duration
Lecture 119 Applications of Derivatives - Production level and sale price that maximize profit 00:10:21 Duration
Lecture 120 Applications of Derivatives - Sales level that maximizes revenue 00:07:35 Duration
Lecture 121 Applications of Derivatives - Maximum area of a rectangle inscribed in a semicircle 00:15:47 Duration
Lecture 122 Applications - Dimensions that maximize the area of a rectangle inscribed in a triangle 00:13:16 Duration
Lecture 123 Applications of Derivatives - Maximum volume of a cylinder inscribed in a sphere 00:14:04 Duration
Lecture 124 Applications of Derivatives-Derivative theorems - Introduction to derivative theorems 00:00:51 Duration
Lecture 125 Applications of Derivatives-Derivative theorems- Mean Value Theorem 00:11:21 Duration
Lecture 126 Applications of Derivatives-Derivative theorems - Rolle's Theorem 00:05:11 Duration
Lecture 127 Applications of Derivatives-Derivative theorems - Newton's Method 00:09:22 Duration
Lecture 128 Applications of Derivatives-Derivative theorems- L'Hospital's Rule 00:03:15 Duration
Lecture 129 Applications of Derivatives - Physics - Introduction to physics 00:00:36 Duration
Lecture 130 Applications of Derivatives - Physics - Position function
Lecture 131 Applications of Derivatives - Physics - Position function of a particle 00:19:56 Duration
Lecture 132 Applications of Derivatives - Physics - Ball thrown up from the ground 00:09:37 Duration
Lecture 133 Applications of Derivatives - Physics - Coin dropped from the roof 00:09:31 Duration
Lecture 134 Applications of Derivatives - Economics - Introduction to economics 00:00:54 Duration
Lecture 135 Applications of Derivatives - Economics - Marginal cost, revenue, and profit 00:07:04 Duration
Lecture 136 Applications of Derivatives - Introduction to exponential growth and decay 00:00:50 Duration
Lecture 137 Applications of Derivatives - Exponential growth and decay - Half life 00:08:06 Duration
Lecture 138 Applications of Derivatives - Exponential growth and decay - Sales decline 00:06:08 Duration
Lecture 139 Applications of Derivatives - Exponential growth
Lecture 140 Final exam and wrap-up - Wrap up 00:00:20 Duration