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One Minute Math Pre-Calculus Topics
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Introduction to Trigonometry
The Graphical Side of Trigonometric Functions
Trigonometric Identities and Equations
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Fundamental Trigonometric Identities
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Verifying Trigonometric Identities
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Tips and Tricks
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Sum and Difference Formulas
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Double Angle Formulas
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Trigonometric Equations – Finding All Solutions or Solutions on an Interval
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Linear Method
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Factoring Method
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Using Identities
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Placeholder
Applications of Trigonometry
The Law of Sines
The Law of Cosines
Vectors
Complex Numbers
What is Polar Form of a Complex Number?
The Complex Plane
Plotting Polar Points
Converting Rectangular to Polar Form
Converting Polar to Rectangular Form
Products and Quotients of Complex Numbers in Polar Form
De Moivre’s Theorem
Powers of Complex Numbers
Roots of Complex Numbers
Polar Equations and Graphs
Lines and Circles
The Cardioid
The Rose
The Lemniscate
Converting Polar Equations to Rectangular
Converting Rectangular Equations to Polar
Matrices
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What is a Matrix?
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Adding and Subtracting Matrices
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Scalar Multiplication
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Matrix Multiplication
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Augmented Matrices
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Matrix Row Transformations
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Gauss-Jordan Elimination
Conic Sections
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Identifying Conic Sections
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The Parabola
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Graphing a parabola
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The Circle
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Graphing a Circle
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The Ellipse
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Graphing an Ellipse
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The Hyperbola
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Graphing a Hyperbola
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Placeholder
Sequences and Series
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The Difference Between a Sequence and a Series
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Sequence Notation
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Recursive vs. Explicit Definitions of a Sequence
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Arithmetic Sequences and Series
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Geometric Sequences and Series