PreCalc Chapter 10

Ch 10 Topics from Analytic Geometry

Ch 10.1 Parabola

Definitions of Parabolas ;
Graphing , Finding the Vertex, Axis of Symmetry, Focus, Directrix, Direction of Opening and Length of Latus Rectum (Part 1)
http://www.youtube.com/watch?v=ksWNhWfMyOw&list=PL554F9F460401DF50&index=32&feature=plpp_video

Graphing , Finding the Vertex, Axis of Symmetry, Focus, Directrix, Direction of Opening and Length of Latus Rectum (Part 2) ;
Writing  in Standard Form ;
Finding and Plotting the Equation of a Parabola Given Focus at  and Directrix at  ;
Definition of Reflective Property
http://www.youtube.com/watch?v=fgCChVqqbSk&list=PL554F9F460401DF50&index=31&feature=plpp_video

Finding the Equation of a Parabola from
Focus at  and Directrix at
http://www.youtube.com/watch?v=VV6OlKUbtFA&feature=plcp
Focus at  and Directrix at
http://www.youtube.com/watch?v=cpFOqoBvU70&feature=plcp

Ch 10.2 Ellipses

Definition of Ellipse ;
Definition of Eccentricity ;
Definition of Reflective Property ;
Finding the Vertices and Focus, and Graphing
http://www.youtube.com/watch?v=54ehroE6x5I&list=PL554F9F460401DF50&index=30&feature=plpp_video

Finding Center, Endpoints of the Major Axis, Endpoints of the Minor Axis, Foci, Eccentricity and Graphing
http://www.youtube.com/watch?v=tJmp1PJD9o8&feature=youtu.be

Finding Center, Endpoints of the Major Axis, Endpoints of the Minor Axis, Foci, Eccentricity and Graphing
http://www.youtube.com/watch?v=oWGyVpq94CM&feature=youtu.be

Writing  in Standard Form ;
Finding the Equation of the Ellipse given Foci at  and Length of the Minor Axis=
http://www.youtube.com/watch?v=Cw_9q4RPu6Y&list=PL554F9F460401DF50&index=29&feature=plpp_video (Part 1 and 2 of the Video)

Writing   in Standard Form, finding Center, Endpoints of the Major Axis, Endpoints of the Minor Axis, Foci, Eccentricity and Graphing it
http://www.youtube.com/watch?v=CL7SNu-5riw&feature=youtu.be

Finding the Standard Equation of the Ellipse given Foci at  and Length of the Minor Axis=
http://www.youtube.com/watch?v=k5gMLDjMfvI&feature=youtu.be

Finding the Standard Equation of the Ellipse given Center at , a Focus at  and a Vertex at
http://www.youtube.com/watch?v=RWaEIJOlHlw&feature=youtu.be

Finding the Standard Equation of the Ellipse given Center at , a Focus at  and a Vertex at
http://www.youtube.com/watch?v=_cxQwMQTQ6s&feature=youtu.be

Finding the Standard Equation of the Ellipse given Center at , a Vertex at  and Eccentricity of
http://www.youtube.com/watch?v=_tGQT7rnTmM&feature=youtu.be

Ch 10.3 Hyperbola

Definition of Hyperbola ;
Finding the Vertices, Foci, Equation of the Asymptotes and Graphing  (Part 1)
http://www.youtube.com/watch?v=Cw_9q4RPu6Y&list=PL554F9F460401DF50&index=29&feature=plpp_video (Part 3 and 4 of the Video)

Finding the Vertices, Foci, Equation of the Asymptotes and Graphing  (Part 2) ;
Finding the Equation of the Hyperbola given Foci at  and Vertices at  ;
Definition of Circle ;
Identifying the Equations as Either a Parabola, Circle, Ellipse or Hyperbola
http://www.youtube.com/watch?v=aveh7WTiJ2w&list=PL554F9F460401DF50&index=28&feature=plpp_video

Definition of Hyperbola ;
Graphing  ;
Graphing
http://www.youtube.com/watch?v=i6vM82SNAUk

Writing Hyperbola  in Standard Form and Graphing ;
Writing Hyperbola  in Standard Form and Graphing
http://www.youtube.com/watch?v=6Xahrwp6LkI

Finding the Vertices, Foci, Endpoints of the Conjugate Axis, Asymptotes and Graphing
http://www.youtube.com/watch?v=W0IXOdsna9A&feature=youtu.be

Finding the Vertices, Foci, Endpoints of the Conjugate Axis, Asymptotes and Graphing
http://www.youtube.com/watch?v=vT-gnaAG51o&feature=youtu.be

Finding the Standard Equation of the Hyperbola given Center at , Focus at  and a Vertex at
http://www.youtube.com/watch?v=ZwqNou_Z7oI&feature=youtu.be

Determining What Type of Conic Section from General Form
http://www.youtube.com/watch?v=auD46ZWZxQo

Ch 10.4 Plane Curves and Parametric Equations

Introduction to Parametric Equations ;
Graphing the Parametric Equation , ,  ;
Graphing the Parametric Equation , ,
http://www.youtube.com/watch?v=Fz6p4aC9e2Q

Steps of Converting Parametric Equations to Rectangular Equation ;
Converting Parametric Equations ,  to Rectangular Equation, Stating the Domain and Graphing it ;
Converting Parametric Equations ,  to Rectangular Equation, Stating the Domain and Graphing it ;
Converting Parametric Equations ,  to Rectangular Equation, Stating the Domain and Graphing it ;
Converting Parametric Equations ,  to Rectangular Equation, and Graphing it
http://www.youtube.com/watch?v=tW6N7DFTvrM

Graphing the Following Parametric Equations and Converting them to Rectangular Equation
, ,
http://www.youtube.com/watch?v=5jaQjQj3N_g&feature=relmfu
, ,
http://www.youtube.com/watch?v=hjfSJtcJ7_A&feature=relmfu

Converting the Following Parametric Equations to Rectangular Equation and Graphing it
, ,
http://www.youtube.com/watch?v=F-x4SpPDXkw&feature=youtu.be
,
http://www.youtube.com/watch?v=32bI04d6qnk&feature=youtu.be
,  
http://www.youtube.com/watch?v=TJgOmI_4UfU&feature=youtu.be

Graphing Parametric Equations on the Calculator TI84
,  ;
, ,    ;
, ,   ;
, ,   ;
, ,
http://www.youtube.com/watch?v=4Y14XhPD7Os

Ch 10.5 Polar Coordinates

Polar Coordinates Basics
http://www.youtube.com/watch?v=Ys76prA3ObU&feature=plcp

Plotting a Point using Polar Coordinate ;
Plotting , , ,  on the Polar Coordinate System ;
Listing the Given Point on the Polar Coordinate in  Different Ways ;
Plotting  on the Polar Coordinate in  Different Ways ;
Writing  in Rectangular Coordinate
http://www.youtube.com/watch?v=-tZR3ggdoIU

Animation: Comparing Polar and Rectangular Coordinates
http://www.youtube.com/watch?v=A-AEuohaP4o

Converting Polar Coordinate  to Rectangular Coordinate
http://www.youtube.com/watch?v=Zsmj4SWO_WA&feature=plcp

Converting Rectangular Coordinate  to Polar Coordinate
http://www.youtube.com/watch?v=cuPswDv5p9I&feature=plcp

Converting Rectangular Equation  to Polar Equation
http://www.youtube.com/watch?v=_Ku4ZP4bmps&feature=youtu.be

Converting Rectangular Equation Line  to Polar Equation
http://www.youtube.com/watch?v=xrsJNoq4oN4&feature=youtu.be

Converting Rectangular Equation  to Polar Equation
http://www.youtube.com/watch?v=uTjcjoENgGA&feature=plcp

Converting Polar Equation  to Rectangular Equation
http://www.youtube.com/watch?v=jEvBHDM0h_Y&feature=plcp

Finding the Rectangular and Polar Equation of a Circle from a Graph
http://www.youtube.com/watch?v=ZFNSMfWvVNY&feature=youtu.be

Graphing Polar Equations
;
;
;

http://www.youtube.com/watch?v=X6M7yfH6w_Y
;
Showing Circles, Lemniscates, Limacons, and Rose Curves
http://www.youtube.com/watch?v=mTxxNQWWlBc

Graphing Polar Equation : Part 1 and 2
http://www.youtube.com/watch?v=mDT_DG_A0JA&feature=player_embedded
http://www.youtube.com/watch?v=GMcRqtm4mNo&feature=player_embedded

Graphing Polar Equation  on the TI84 Graphing Calculator
http://www.youtube.com/watch?v=PZwiiZQhM0c&feature=youtu.be