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| Your are here: Home > Grade/Subject > Calculus > Pre Calculus |
High School Pre Calculus |
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Functions
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- Definition of a Function
- Algebraic Operations on Functions and apply Transformations.
- Composite Functions
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| Exponential And Logarithmic Functions |
- Relationship between exponential and logarithmic functions
- Graphs of logarithmic functions
- Solution of exponential and logarithmic functions
- Problems involving Exponential growth and decay.
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| Quadratic Functions |
- Solution of quadratic equations by substitution
- Applications of quadratic functions
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| Polynomial Functions |
- Intervals and graphs of polynomial functions
- Solution of polynomial equations and inequalities of degree >=to three
- The Remainder Theorem
- Factor Theorem
- Fundamental Theorem of Algebra
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| Rational Functions And Difference Quotients |
- Solutions of equations and inequalities involving rational functions.
- Vertical and horizontal asymptotes
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| Patterns, Functions and Algebra Standard |
- Transcendental and Periodic Functions.
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| Vectors , Matrices, System Of Equations. |
- Operations on Vectors
- Operations on Matrices
- Inverse of a matrix
- Determinants
- Gaussian elimination
- Linear Programming
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| Sequences, Series And Mathematical Induction. |
- The sigma and factorial notation.
- Arithmetic sequences
- Geometric sequences
- Mathematical Induction
- Binomial Theorem
- Pascal's Triangle
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Polar Coordinates, Parameterizations, And Conic Sections.
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- Conversion between polar and rectangular coordinates.
- Graph of functions in polar coordinates.
- De Moivre’s Theorem
- Parametric and Rectangular forms of equations.
- Locus
- Graphs of parabolas, ellipses and hyperbolas
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