Pre-Calculus 13: Conic Sections

Video Lectures

Displaying all 27 video lectures.
Lecture 1
Overview of Conic Sections 1
Play Video		 Overview of Conic Sections 1
In this video I will give an overview of the parabola, circle, ellipse, and hyperbola with respect to conic sections.

Next video in this series can be seen at:
http://youtu.be/uLpMWadAvIU
Lecture 2
Overview of Conic Sections 2
Play Video		 Overview of Conic Sections 2
In this video I will give an overview of the parabola, circle, ellipse, and hyperbola with respect to their standard equations.

Next video in this series can be seen at:
http://youtu.be/DSkd0yIt1Pw
Lecture 3
The Parabola 1
Play Video		 The Parabola 1
In this video I will explain the definition of the parabola (vertex, focus, directrix,...).

Next video in this series can be seen at:
http://youtu.be/2VNlPEKYkqI
Lecture 4
The Parabola 2
Play Video		 The Parabola 2
In this video I will explain the general equation of the parabola located anywhere on the x-y plane.

Next video in this series can be seen at:
http://youtu.be/9NKFVdVtoV8

Same video with error can be found at (though I wouldn't know why anyone would view it):
http://youtu.be/Vy_DT5G-Km4
Lecture 5
The Parabola: Standard Form
Play Video		 The Parabola: Standard Form
In this video I will compare the equations x^2=4py, origin; and (x-H)^2=4p(y-K), vertex=(H,K).

Next video in this series can be seen at:
http://youtu.be/-WokVRchOjo
Lecture 6
The Parabola: Standard Form 2
Play Video		 The Parabola: Standard Form 2
In this video I will compare the standard form (x-H)^2=4p(y-K) to traditional form y=ax^2+bx+c.

Next video in this series can be seen at:
http://youtu.be/axmpHvTV7lo
Lecture 7
The Parabola: Standard Form Ex. 1
Play Video		 The Parabola: Standard Form Ex. 1
In this video I will find the vertex, focus, directrix, and graphs the parabola of (x-3)^2=20(y+2).

Next video in this series can be seen at:
http://youtu.be/Siu4Y0cRLPc
Lecture 8
The Parabola: Standard Form Ex. 2
Play Video		 The Parabola: Standard Form Ex. 2
In this video I will graph and finds the equation of the parabola given focus=(2,0) and directrix y=2.

Next video in this series can be seen at:
http://youtu.be/mK8AHckivR8
Lecture 9
The Parabola: Standard Form Ex. 3
Play Video		 The Parabola: Standard Form Ex. 3
In this video I will use 2 methods to find the vertex, focus, and directrix of x^2+2x+2y+7=0.

Next video in this series can be seen at:
http://youtu.be/cVd1qopEgeM
Lecture 10
The Parabola: Standard Form Ex. 4
Play Video		 The Parabola: Standard Form Ex. 4
In this video I will explain what happens to the parabola if the standard form is (y-K)^2=4p(x-H).

Next video in this series can be seen at:
http://youtu.be/j_V8Tdp3u5c
Lecture 11
The Parabola: Standard Form Ex. 5
Play Video		 The Parabola: Standard Form Ex. 5
In this video I will find the vertex, focus, directrix, and graphs y^2-4y-x+8=0.

Next video in this series can be seen at:
http://youtu.be/s53FSFBngUk
Lecture 12
The Parabola: Standard Form Ex. 6
Play Video		 The Parabola: Standard Form Ex. 6
In this video I will find the vertex, focus, directrix, and graphs x^2=12y.

Next video in this series can be seen at:
http://youtu.be/YZh_HoER474
Lecture 13
The Circle
Play Video		 The Circle
In this video I will explain the definition and the standard form equations of the circle.

Next video in this series can be seen at:
http://youtu.be/NryIPk9_H1o
Lecture 14
The Circle: Ex. 1
Play Video		 The Circle: Ex. 1
In this video I will find H, K, R, and graphs (circle) x^2+y^2-16x+14y+32=0.

Next video in this series can be seen at:
http://youtu.be/AhiCk56vU-0
Lecture 15
The Circle: Ex. 2
Play Video		 The Circle: Ex. 2
In this video I will explain how to tell the difference between the equation of a circle and ellipse.

Next video in this series can be seen at:
http://youtu.be/DBdAooI5awU
Lecture 16
The Ellipse - 1
Play Video		 The Ellipse - 1
In this video I will explain the major-axis and minor-axis of the ellipse.

Next video in this series can be seen at:
http://youtu.be/49D5em3q-V8
Lecture 17
The Ellipse - 2
Play Video		 The Ellipse - 2
In this video I will explain the center, major-axis, minor-axis, and focus of the ellipse.

Next video in this series can be seen at:
http://youtu.be/yUIwYkVv0bU
Lecture 18
The Ellipse: Ex. 1
Play Video		 The Ellipse: Ex. 1
In this video I will graph an ellipse when given the equation in the standard form.

Next video in this series can be seen at:
http://youtu.be/z92aVfy0yTk
Lecture 19
The Ellipse: Ex. 2
Play Video		 The Ellipse: Ex. 2
In this video I will graph (ellipse) 4x^2+y^2-8x-2y+1=0.

Next video in this series can be seen at:
http://youtu.be/I1oSpVBbOyM
Lecture 20
The Ellipse: Ex. 3
Play Video		 The Ellipse: Ex. 3
In this video I will graph (ellipse) 4x^2+9y^2-16x+18y-11=0.

Next video in this series can be seen at:
http://youtu.be/mm9TY_q9i-k
Lecture 21
The Hyperbola (Explained) - 1
Play Video		 The Hyperbola (Explained) - 1
In this video I will explain the definition and the standard form equations of the hyperbola.

Next video in this series can be seen at:
http://youtu.be/XNRZJzRGl88
Lecture 22
The Hyperbola (Explained) - 2
Play Video		 The Hyperbola (Explained) - 2
In this video I will explain the standard form of transverse axis horizontal and vertical hyperbola.

Next video in this series can be seen at:
http://youtu.be/cRnPU56G0Y4
Lecture 23
The Hyperbola - How to Draw
Play Video		 The Hyperbola - How to Draw
In this video I will draw the transverse axis horizontal and vertical hyperbola center at the origin.

Next video in this series can be seen at:
http://youtu.be/WdvIUg08618
Lecture 24
The Hyperbola - Center NOT at Origin
Play Video		 The Hyperbola - Center NOT at Origin
In this video I will draw the transverse axis horizontal and vertical hyperbola center NOT at the origin.

Next video in this series can be seen at:
http://youtu.be/prhlmRPr29A
Lecture 25
How to Graph a Hyperbola - Ex. 1
Play Video		 How to Graph a Hyperbola - Ex. 1
In this video I will find the vertices, center, foci, asymptotes, and graphs x^2-y^2-2x-4y-7=0.

Next video in this series can be seen at:
http://youtu.be/Ku_Y6W4tBxY
Lecture 26
How to Graph a Hyperbola - Ex. 2
Play Video		 How to Graph a Hyperbola - Ex. 2
In this video I will find the vertices, center, foci, and graphs 9x^2-4y^2+54x+8y-41=0.

Next video in this series can be seen at:
http://youtu.be/F59RaAt4Q3w
Lecture 27
How to Graph a Hyperbola - Ex. 3
Play Video		 How to Graph a Hyperbola - Ex. 3
In this video I will find the vertices, center, foci, and 9y^2-4x^2-18y+24x-63=0.

First video in this series can be seen at:
http://youtu.be/xe9B1dLuPQk