Description
Matrix, linear equations, ellipses, hyperbolas, parabolas, polar coordinate planes, equation conversion, rose curves. Grades 10–College.
PreCalculus Flipper®Topics – CLP185W
 Definition of Matrix
 Matrix: Order
 Matrix: Addition
 Matrix: Subtraction
 Matrix: Scalar Multiplication
 Matrix: Multiplication
 Augmented Matrix for a System of Equations
 Solving Systems by Augmented Matrices
 Solving Systems by Augmented Matrices: Elementary Row Operations
 Solving a System by the GaussJordan Elimination
 Equal Matrices
 Zero Matrix
 Square Matrix
 Identity Matrix for Multiplication
 Determinant of a 2 x 2 Matrix
 Determinant of a 3 x 3 Matrix: Expansion by Minors
 Determinant of a 3 x 3 by Diagonal Multiplication
 Cramer’s Rule for Solving Two Linear Equations
 Cramer’s Rule for 3 Equations in 3 Unknowns
 Inverse of a 2 x 2 Matrix
 Solving a System of Equations by Inverse Matrices
 Area of a Triangle Using Matrices
 Test for Collinear Points Using Matrices
 Finding Equation of a Line Given Two Points
 Conic Sections: Circle
 Conic Sections: Ellipse
 Conic Sections: Parabola
 Conic Sections: Hyperbola
 Ellipses
 Ellipse Whose Center is at the Origin

 Translation of an Ellipse: Center
 Translation of an Ellipse: Vertices
 Translation of an Ellipse: Other Endpoints
 Translation of an Ellipse: Foci
 Writing an Equation of an Ellipse in Standard Form (Complete the Square)
 Hyperbola
 Standard Form of a Hyperbola
 Example of Hyperbola Centered at the Origin
 Translation of a Hyperbola: Center
 Translation of a Hyperbola: Vertices
 Translation of a Hyperbola: Other Points
 Translation of a Hyperbola: Foci
 Translation of a Hyperbola: Asymptotes
 Translation of a Hyperbola: Graph
 Parabolas
 Parabolas: Directrix
 Parabolas: Focus
 Parabolas: Midpoint
 Parabolas: Vertex
 Parabolas: Axis
 Equation of a Parabola with Vertex at the Origin
 Equation of a Parabola with Vertex (h, k)
 Polar Coordinate Plane
 Polar Coordinate Plane: Pole
 Polar Coordinate Plane: Polar Axis
 Plotting Points on the Polar Coordinate System
 Multiple Representation of Points
 Multiple Representation of Points: Reversing the Directed Distance
 Multiple Representation of Points: Reversing the Directed Angle
 Coordinate Conversion
 Coordinate Conversion: Polar Coordinate to Rectangular Coordinate

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