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Introduction to Points in 3 Dimensional Space
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Classroom Contents
Calculus 3
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- 1 Introduction to Points in 3 Dimensional Space
- 2 Distance Formula and Equation of a Sphere in 3D With Examples
- 3 Distance from a Point to the y-axis in 3D Space.
- 4 Find a Unit Vector in the Same Direction as the Given Vector
- 5 Are the two Vectors Parallel? :: How to Determine if Vectors are Parallel
- 6 Magnitude and Angle of the Resultant Force :: Cartesian Components of Vectors
- 7 Find the Tension in Cables Attached to a Hanging Mass:: Vectors :: Static Equillibrium
- 8 Dot Product of Two Vectors
- 9 How to Find the Angle Between Two Vectors :: Why Cosine and Dot Product Explained
- 10 Find Unit Vector Perpendicular to Two Vectors :: Using Dot Product!
- 11 Find Force Needed to Supply 100 Nm of Torque
- 12 Acute Angle Between a Line and a Plane
- 13 Angle Between two Intersecting Lines :: 3D Vectors :: First Show Intersection
- 14 Planes Parallel, Orthogonal, or Neither, Angle Between Planes Approach
- 15 Find the Limit of a Vector Function
- 16 Vector Function for the Curve of Intersection of Two Surfaces
- 17 Derivative of a Vector Function
- 18 Derivative of the Vector Function :: r(t) = ta x (tb +t^2 c)
- 19 Find the Unit Tangent and Unit Normal Vectors
- 20 Integral of a Vector Function
- 21 Arc Length of the Curve :: Two Examples :: Calculus 3
- 22 Both Curvature Formulas Derivation :: Vector Calculus
- 23 Contour Plots || Contour Maps || Multivariable Functions || Calculus 3
- 24 Domain of Multivariable Functions || Two Examples!
- 25 Multivariable Limits Polar Coordinates
- 26 Multivariable Limits :: Show the Limit Does Not Exist :: TWO WAYS! :: Polar Coordinates
- 27 What The Heck are Partial Derivatives?? With Visualization, Examples and Clairaut's Theorem!!
- 28 Partial Derivative Examples Advanced (Including Derivative of an Integral)
- 29 Find the Linear Approximation of f(x,y) = 1-xycos(pi y) at the Point (1,1)
- 30 Use Differentials to Estimate the Amount of Metal in a Cylindrical Can
- 31 Use the Chain Rule to find the Partial Derivatives
- 32 Use the Chain Rule to Find the Partial Derivatives of z = tan(u/v), u-2s+3t, v=3s-2t
- 33 Find the Directional Derivative of f(x,y,z) = xy+yz+xz at (1,-1,3) in the direction of (2,4,5)
- 34 Find all points at which the direction of fastest change of the function is i+j
- 35 Local Extrema and Saddle Points of a Multivariable Function. 2nd Derivative Test
- 36 Use Lagrange Multipliers to Find the Maximum and Minimum Values of f(x,y) = x^3y^5
- 37 Midpoint Rule Double Integrals Using Level Curves!
- 38 Evaluate by Reversing the Order of Integration :: integral bounds include ln(x)!!
- 39 Double Integrals in Polar Coordinates
- 40 Graphing Polar Curves by Changing the Parameter
- 41 Double Integral to find Area Enclosed by a Cardioid r=2-2cos(t)
- 42 Find the Centroid of the Triangular Region Given the Vertices :: Double Integrals
- 43 Moments of Inertia :: Double Integrals :: Polar Coordinates
- 44 Evaluate by Changing to Cylindrical Coordinates :: 2 Ways!!!
- 45 Triple Integral to find Volume Cylindrical and Spherical Coordinates :: Inside Sphere Outside Cone
- 46 Evaluate By Changing to Spherical Coordinates :: Above Cone Between Two Spheres
- 47 Triple Integral in Spherical Coordinates to find Volume :: Under Sphere Between Two Cones.
- 48 Change of Variables in Multiple Integrals (Find the Jacobian)
- 49 Line Integrals of Scalar Functions: Evaluate Line Integrals : Contour Integrals
- 50 Line Integral of a Vector Field :: F(x,y,z) = sin(x) i + cos(y) j + xz k
- 51 Fundamental Theorem for Line Integrals :: Conservative Vector Field Line Integral
- 52 Green's Theorem Examples
- 53 Scalar Surface Integral ∫∫ x^2yz dS where S is part of the plane z=1+2x+3y
- 54 Scalar Surface Integral ∫∫xy dS, S is the triangular region (1,0,0), (0,2,0), (0,0,2)
- 55 Evaluate the Surface Integral over the Helicoid r(u,v) = ucos v i + usin v j + v k
- 56 Find the Flux of the Vector Field F = x i + y j + z^4 k Through the Cone with Downward Orientation
- 57 Use Stokes' Theorem to Evaluate the Surface Integral
- 58 Divergence Theorem:: Find the flux of F = ( cos(z) + xy^2, xexp(-z), sin(y)+x^2z )
- 59 Multivariable Limit Using the Definition
- 60 What Angle Equalizes Horiz. Range and Vertical Distance? || Projectile Motion
