Pre-Calculus

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Pre-Calculus Flipper®-Topics - CLP-185W
Matrix, linear equations, ellipses, hyperbolas, parabolas, polar coordinate planes, equation conversion, rose curves. Grades 10–College.
Description

Matrix, linear equations, ellipses, hyperbolas, parabolas, polar coordinate planes, equation conversion, rose curves. Grades 10–College.

Pre-Calculus Flipper®-Topics - CLP-185W

 
  • 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 Gauss-Jordan 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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