01 Functions - what are they - high school review 1.mp4 (196.53 MB)
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02 Functions - what are they - high school review 2.mp4 (195.19 MB)
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03 SIM Straight line functions in motion.mp4 (35.21 MB)
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04 Practice functions - airplane homework.mp4 (168.06 MB)
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05 Abstract World VS Real World - 1.mp4 (113.21 MB)
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06 Abstract World VS Real World - 2.mp4 (110.39 MB)
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07 Straight line functions - How to manipulate them.mp4 (211.61 MB)
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08 Inverse functions - what are they and how to find them.mp4 (168.29 MB)
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09 Find inverse functions - example.mp4 (110.28 MB)
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10 Parabolic functions - How to manipulate them.mp4 (247.62 MB)
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11 Cubic functions - How to manipulate them.mp4 (119.37 MB)
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12 SIM Car race exercise - who will win the race.mp4 (5.51 MB)
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13 SIM Car race exercise - who will win the race - SOLUTION.mp4 (19.45 MB)
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14 What is a function, what is not - 1.mp4 (182.25 MB)
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15 What is a function, what is not - 2.mp4 (136.13 MB)
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16 Inverse function of a parabola - how to find it.mp4 (129.63 MB)
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17 Inverse function of a cubic function- how to find it.mp4 (142.02 MB)
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18 Functions in general form - how to manipulate them.mp4 (217.46 MB)
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19 SIM General functions in motion.mp4 (53.27 MB)
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20 Piecewise defined functions - how to form them.mp4 (208.54 MB)
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21 How to shift functions.mp4 (168.51 MB)
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22 How to do function operations.mp4 (244.05 MB)
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23 Practice function operations.mp4 (157.86 MB)
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24 Quadratic function roots - How to get them 1.mp4 (219.89 MB)
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25 Quadratic function roots - How to get them 2.mp4 (152.5 MB)
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26 SIM 3 airplane race - who wins, and when.mp4 (9.07 MB)
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27 Follow-up.mp4 (26 MB)
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01 Pi number and circumference of a circle - what are they and how to get them.mp4 (279.04 MB)
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02 Radians VS Degrees & how to get the arc length of a circle.mp4 (223.91 MB)
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03 Sine function - where does it come from.mp4 (248.45 MB)
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04 Cosine and tangent function - where do they come from.mp4 (155.47 MB)
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05 Inverse of trigonometric functions - how to get them.mp4 (209.96 MB)
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06 Practice trigonometric functions - exercises.mp4 (90.29 MB)
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07 Abstract VS Real - Aerospace Engineering example.mp4 (261.55 MB)
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08 SIM Avoid the crash - exercise.mp4 (26.75 MB)
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09 SIM Avoid the crash - solution 1.mp4 (12.79 MB)
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10 SIM Avoid the crash - solution 2.mp4 (33.88 MB)
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11 SIM Avoid the crash - solution 3.mp4 (23.02 MB)
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12 SIM Avoid the crash - solution 4.mp4 (51.76 MB)
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13 SIM Avoid the crash - solution 5.mp4 (45.33 MB)
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14 SIM Avoid the crash - solution 6.mp4 (17.04 MB)
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15 SIM Avoid the crash - solution 7.mp4 (37.02 MB)
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16 SIM Avoid the crash - solution 8.mp4 (9.62 MB)
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17 SIM Avoid the crash - solution 9.mp4 (60.81 MB)
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18 SIM Avoid the crash - solution 10.mp4 (12.95 MB)
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1 2 variable function - how to apply it to a simple airplane example.mp4 (226.63 MB)
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2 3 variable function - how to apply it to a simple airplane example.mp4 (183.88 MB)
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3 What is a function and what is not - multidimensional functions.mp4 (211.36 MB)
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1 Variable equaling VS approaching something - what's the difference.mp4 (245.11 MB)
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2 Variable approaching infinity - what happens.mp4 (153.45 MB)
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3 Smart financial decision using limits - how to do it.mp4 (211.56 MB)
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4 Manipulate trigonometric functions in different ways - how.mp4 (224.36 MB)
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5 Model a wave with a trigonometric function - how.mp4 (218.25 MB)
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6 Get from a sine to a cosine function - exercise.mp4 (48.2 MB)
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7 Practice limits on a trigonometric function - does the limit exist.mp4 (87.46 MB)
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8 SIM Limit simulation.mp4 (18.45 MB)
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9 SIM sin limit simulation.mp4 (10.35 MB)
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01 Derivatives - what are they - falling sphere example 1.mp4 (253.75 MB)
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03 Derivatives - what are they - falling sphere example 2.mp4 (217 MB)
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04 Derivatives - what are they - falling sphere example 3.mp4 (253.17 MB)
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05 SIM Earth, Mars, Moon - exercise.mp4 (23.48 MB)
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06 SIM Earth, Mars, Moon - solution.mp4 (29.86 MB)
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07 Practice your derivative intuition - exercises.mp4 (197.69 MB)
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09 chain rule - how to apply it to a multi link problem - water pipe example 1.mp4 (205.64 MB)
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10 chain rule - how to apply it to a multi link problem - water pipe example 2.mp4 (276.62 MB)
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11 Differential operators - What are they and how to apply them.mp4 (189.82 MB)
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12 Multilevel derivatives - double, triple, quadruple.mp4 (137.44 MB)
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13 Derivative rules - shortcuts 1.mp4 (126.64 MB)
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14 Derivative rules - shortcuts 2.mp4 (234.53 MB)
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15 Implicit VS Explicit functions - chain rule - water pipe example.mp4 (263.49 MB)
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16 Derivative rules - BIG exercise.mp4 (247.73 MB)
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17 Trigonometric function derivatives - how to take them 1.mp4 (176.02 MB)
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18 Trigonometric function derivatives - how to take them 2.mp4 (160.7 MB)
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19 Minimize the material used to produce a can - how to apply derivatives 1.mp4 (249.54 MB)
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20 Minimize the material used to produce a can - how to apply derivatives 2.mp4 (148.24 MB)
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21 Minimize the material used to produce a can - how to apply derivatives 3.mp4 (285.51 MB)
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22 Exponential functions - what are they - how to manipulate them.mp4 (184.2 MB)
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23 Logarithmic functions & log scale - what are they & derivatives.mp4 (258.69 MB)
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24 Maximize your profit - how to apply derivatives for that.mp4 (248.57 MB)
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01 Vectors in 2 dimensions - what are they.mp4 (205.85 MB)
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02 Vectors in multiple dimensions - what are they.mp4 (310.4 MB)
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03 Vector terminology and disclaimers.mp4 (130.33 MB)
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04 Vector magnitude - what is it.mp4 (228.44 MB)
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05 Vector components - exercise.mp4 (117.88 MB)
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06 Vector operations - how do they work.mp4 (91.18 MB)
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07 Apply the dot product - Forces on a box example.mp4 (122.37 MB)
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08 Cross product intuition- what is it.mp4 (132.07 MB)
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09 Cross product - how to calculate it.mp4 (242.71 MB)
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10 Apply the cross product - electron and magnetic field example.mp4 (188.55 MB)
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11 MEGA Application - Water tank example 1.mp4 (134.4 MB)
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12 MEGA Application - Water tank example 2.mp4 (190.76 MB)
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13 MEGA Application - Water tank example 3.mp4 (236.31 MB)
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14 CORRECTION MEGA Application - Water tank example 3.mp4 (20.24 MB)
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15 MEGA Application - Water tank example 4.mp4 (252.52 MB)
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16 CORRECTION MEGA Application - Water tank example 4.mp4 (5.37 MB)
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17 MEGA Application - Water tank example 5.mp4 (89.17 MB)
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18 SIM MEGA Application - Water tank example - Complete.mp4 (8.84 MB)
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19 MEGA Application - Water tank example - exercise 1.mp4 (218.6 MB)
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20 MEGA Application - Water tank example - exercise 2.mp4 (214.46 MB)
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21 SIM MEGA Application - Water tank example - exercise.mp4 (4.48 MB)
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22 MEGA Application - Water tank mass flow- use derivatives to get it.mp4 (284.22 MB)
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23 Distance VS Position vectors - what's the difference.mp4 (299.48 MB)
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24 Displacement VS Velocity VS Acceleration vectors - what's the difference.mp4 (269.96 MB)
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26 Graph Displacement, Velocity, & Acceleration vectors.mp4 (162.52 MB)
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27 Acceleration vector - intuition.mp4 (124.9 MB)
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28 Vector derivatives - how do they work.mp4 (45.36 MB)
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1 2D Cartesian VS Polar coordinate systems - what are they.mp4 (195.4 MB)
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2 3D Cartesian VS Cylindrical VS Spherical coordinate systems - what are they.mp4 (148.31 MB)
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3 Apply 3 dimensional coordinate systems - when to use what.mp4 (141.89 MB)
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4 Going from Polar to Cartesian.mp4 (112.3 MB)
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5 Going from Cartesian to Polar.mp4 (59.55 MB)
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6 Going between 3 dimensional coordinate systems - how to switch between them.mp4 (195.49 MB)
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01 Intro into Parametric Equations - Intuition.mp4 (168.46 MB)
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02 MEGA Application - Landing Airplane in 2D.mp4 (155.77 MB)
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03 SIM MEGA Application Landing simulation.mp4 (33.27 MB)
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04 MEGA Application - Airplane flying in an oscillatory way (in 2D).mp4 (254.34 MB)
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05 MEGA Application - Airplane's velocity and acceleration in 2D.mp4 (406.32 MB)
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06 SIM MEGA Application - Sin trajectory simulation.mp4 (53.99 MB)
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07 MEGA Application - Airplane doing circles in 2D - Cartesian & Polar coordinates.mp4 (368.37 MB)
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08 MEGA Application - Airplane doing circles in 2D - Velocity & Acceleration.mp4 (395.85 MB)
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09 SIM MEGA Application - Circle simulation.mp4 (75.89 MB)
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10 MEGA Application - Airplane flying in a spiral in 3D.mp4 (330.47 MB)
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11 SIM MEGA Application - 3D trajectories - simulation 1.mp4 (25.17 MB)
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12 SIM MEGA Application - 3D trajectories - simulation 2.mp4 (14.74 MB)
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13 SIM MEGA Application - 3D trajectories - simulation 3.mp4 (27.08 MB)
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14 SIM MEGA Application - 3D trajectories - simulation 4.mp4 (19.42 MB)
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15 SIM MEGA Application - 3D trajectories - simulation 5.mp4 (11.21 MB)
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16 MEGA Application - 2 joint robot - Angular position & velocity.mp4 (105.28 MB)
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17 MEGA Application - 2 joint robot - 2 joints rotating simultaneously.mp4 (224.65 MB)
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18 MEGA Application - 2 joint robot - assigning multiple reference frames.mp4 (323.93 MB)
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19 MEGA Application - 2 joint robot - describing a point in two different frames.mp4 (195.33 MB)
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20 MEGA Application - 2 joint robot - deriving a 2D rotational matrix.mp4 (289.56 MB)
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21 MEGA Application - 2 joint robot - describing rotating and translating joints.mp4 (416.91 MB)
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22 MEGA Application - 2 joint robot - joints rotating at different frequencies.mp4 (174.31 MB)
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23 SIM MEGA Application - 2 joint robot - simulation 1.mp4 (32.59 MB)
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24 SIM MEGA Application - 2 joint robot - simulation 2.mp4 (26.05 MB)
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25 3D Rotational matrix - how to derive it 1.mp4 (409.2 MB)
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26 3D Rotational matrix - how to derive it 2.mp4 (247.36 MB)
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27 3D Rotational matrix - how to derive it 3.mp4 (284.8 MB)
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01 Implicit functions - what are they and how to graph them.mp4 (298.32 MB)
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02 Implicit function derivatives - how to take them.mp4 (261.48 MB)
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03 Expanding function dimensions 1.mp4 (122.62 MB)
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04 Expanding function dimensions 2.mp4 (112.69 MB)
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05 Machine Learning example - how to apply multidimensionality.mp4 (375.66 MB)
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06 Partial derivatives - intro 1.mp4 (236.35 MB)
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07 Partial derivatives - intro 2.mp4 (332.6 MB)
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08 Partial derivatives - intro 3.mp4 (308.37 MB)
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09 Higher dimensional partial derivatives & its graph.mp4 (168.57 MB)
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10 Airplane example - Chain rule in parametric equations - partial derivatives 1.mp4 (148.08 MB)
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11 Airplane example - Chain rule in parametric equations - partial derivatives 2.mp4 (214.01 MB)
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12 Multilevel partial derivatives - how to take them.mp4 (316.27 MB)
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13 Gradient - what is it and how to find it.mp4 (169.03 MB)
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15 Taylor Series - what is it and how to formulate it 1.mp4 (378.57 MB)
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16 Taylor Series - what is it and how to formulate it 2.mp4 (439.66 MB)
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17 Linearization and Quadratic Approximation - what is it and how to do it.mp4 (634.9 MB)
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18 Multidimensional linearization - practical exercise.mp4 (476.65 MB)
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19 Multidimensional quadratic approximation - Hessian Matrix.mp4 (372.35 MB)
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20 Representing a system mathematically, in vector-matrix form, and block diagrams.mp4 (409.01 MB)
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01 Discrete VS Continuous functions - what's the difference.mp4 (239.68 MB)
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02 Intro to Integrals - The area of the wall calculation 1.mp4 (232.08 MB)
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03 Intro to Integrals - The area of the wall calculation 2.mp4 (321.59 MB)
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04 Integrals - what's the meaning of it 1.mp4 (266.39 MB)
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05 Integrals - what's the meaning of it 2.mp4 (289.76 MB)
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06 Integrals - what's the meaning of it 3.mp4 (306.03 MB)
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07 Integrals - what's the meaning of it 4.mp4 (396.71 MB)
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08 Indefinite Integrals VS Definite Integrals - what's the difference.mp4 (335.31 MB)
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09 Definite Integrals - Area of the wall calculation 1.mp4 (494.48 MB)
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10 Definite Integrals - Area of the wall calculation 2.mp4 (281.71 MB)
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11 Improper Integrals - made intuitive.mp4 (459.65 MB)
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12 Definite Integrals - formal definition.mp4 (462.14 MB)
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13 Area of a circle & initial conditions - integrals applied.mp4 (301.14 MB)
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14 Area of a circle - 2nd approach - integrals applied.mp4 (311.25 MB)
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15 Volume of a solid - integrals applied.mp4 (354.82 MB)
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16 Integration by parts - where it comes from and how to apply it.mp4 (313.84 MB)
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17 Curve length calculation - integrals applied 1.mp4 (364.96 MB)
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18 Curve length calculation - integrals applied 2.mp4 (233.18 MB)
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19 Spiral length calculation in 3D - integrals applied.mp4 (278.24 MB)
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1 Multivariable integrals - intuition 1.mp4 (377.95 MB)
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2 Multivariable integrals - intuition 2.mp4 (391.16 MB)
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3 Multivariable integrals - intuition 3.mp4 (220.19 MB)
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4 Triple Integrals -intuition.mp4 (173.5 MB)
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5 Quadruple Integrals - intuition.mp4 (141.78 MB)
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6 Mass calculation with varying density - applied triple integrals.mp4 (355.46 MB)
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1 Differential Equations - intuition & different representations 1.mp4 (360.02 MB)
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2 Differential Equations - intuition & different representations 2.mp4 (282.67 MB)
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3 Wave representation in time & frequency domain.mp4 (122.14 MB)
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01 Intro to Control - how to control systems with a controller 1.mp4 (21.49 MB)
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02 Intro to Control - how to control systems with a controller 2.mp4 (18.12 MB)
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03 Open VS Closed Loop System.mp4 (18.67 MB)
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04 Controlling the water tank in a Python simulation.mp4 (12.6 MB)
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05 Intro to a proportional controller.mp4 (16.88 MB)
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06 Modelling the water tank 1.mp4 (3.78 MB)
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07 Modelling the water tank 2.mp4 (37.65 MB)
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08 Numerical integration applied to the water tank model.mp4 (45.4 MB)
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09 Combining math with the control structure.mp4 (45.2 MB)
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10 Water tank simulation - proportional controller.mp4 (12.42 MB)
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11 Intro to a PID simulation.mp4 (15.36 MB)
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12 PID Modelling the train with forces 1.mp4 (26.44 MB)
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13 PID Modelling the train with forces 2.mp4 (30.01 MB)
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14 PID Going from system input to system output using numerical integration.mp4 (32.82 MB)
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15 PID Magnetic train simulation - proportional controller.mp4 (15.18 MB)
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16 PID Proportional controller overshoot explanation 1.mp4 (19.07 MB)
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17 PID Proportional controller overshoot explanation 2.mp4 (34.22 MB)
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18 PID Proportional controller overshoot explanation 3.mp4 (15.21 MB)
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19 PID Intro to Derivative Control.mp4 (65.67 MB)
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20 PID Tuning the controller.mp4 (41.54 MB)
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21 PID Proportional & Derivative controller & magnetic train simulation in Python.mp4 (72.88 MB)
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22 PID Intro to Integral Control.mp4 (17.3 MB)
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23 PID Python magnetic train simulation at an inclination angle.mp4 (14.93 MB)
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24 PID Mathematical modelling of the train with the inclination angle 1.mp4 (14.75 MB)
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25 PID Mathematical modelling of the train with the inclination angle 2.mp4 (40.14 MB)
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26 PID Proportional, Derivative, Integral Control combined.mp4 (96.03 MB)
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27 PID Magnetic train simulation (inclination angle & PID).mp4 (21.5 MB)
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29 PID train code explanation 1.mp4 (103.43 MB)
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30 PID train code explanation 2.mp4 (73.36 MB)
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31 PID train code explanation 3.mp4 (85.97 MB)
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32 Short intro to Python animation tools.mp4 (99.08 MB)
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33 PID Quick code & animation explanation (water tanks).mp4 (169.59 MB)
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1 Intro to (Linux & macOS Terminal) & (Windows Command Prompt).mp4 (111.12 MB)
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2 Python installation instructions.mp4 (3.14 MB)
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3 Installing the Python environment and its libraries (Windows 10).mp4 (35.77 MB)
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4 Installing the Python environment and its libraries (Linux Ubuntu).mp4 (38.81 MB)
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5 Installing the Python environment and its libraries (macOS).mp4 (81.5 MB)
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6 1 python animation sourcecode.zip (42.46 KB)
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