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The Beauty of Algebra
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Origins of Algebra
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Abstract-ness
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Descartes and Cartesian Coordinates
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Variables Expressions and Equations
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Simple Equations
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Equations 2
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Equations 3
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Algebra: Linear Equations 4
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Algebra: Solving Inequalities
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Algebra: graphing lines 1
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Algebra: Slope and Y-intercept intuition
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Algebra: Slope
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Algebra: Slope 2
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Algebra: Slope 3
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Algebra: Equation of a line
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Slope and Y-intercept Intuition
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Averages
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Integer sums
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Taking percentages
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Growing by a percentage
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Another Percent Word Problem
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More percent problems
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systems of equations
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Introduction to Ratios (new HD version)
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Ratio problem with basic algebra (new HD)
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More advanced ratio problem--with Algebra (HD version)
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Alternate Solution to Ratio Problem (HD Version)
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Introduction to Ratios
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Advanced ratio problems
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Age word problems 1
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Age word problems 2
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Age word problems 3
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Level 1 multiplying expressions
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Solving a quadratic by factoring
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Introduction to i and Imaginary Numbers
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Calculating i Raised to Arbitrary Exponents
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i as the Principal Root of -1 (a little technical)
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Complex Numbers (part 1)
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Complex Numbers (part 2)
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Introduction to the quadratic equation
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Quadratic Equation part 2
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Completing the square
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Quadratic Formula (proof)
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Quadratic Inequalities
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Quadratic Inequalities (Visual Explanation)
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Introduction to functions
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Functions Part 2
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Functions (Part III)
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Functions (part 4)
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Domain of a function
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Proof: log a + log b = log ab
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Proof: A(log B) = log (B^A), log A - log B = log (A/B)
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Proof: log_a (B) = (log_x (B))/(log_x (A))
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Algebraic Long Division
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Introduction to Conic Sections
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Conic Sections: Intro to Circles
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Conic Sections: Intro to Ellipses
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Conic Sections: Intro to Hyperbolas
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Conic Sections: Hyperbolas 2
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Conic Sections: Hyperbolas 3
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Identifying Conics 1
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Identifying Conics 2
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Conic Identification 3
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Foci of an Ellipse
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Foci of a Hyperbola
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Proof: Hyperbola Foci
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Partial Fraction Expansion 1
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Partial Fraction Expansion 2
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Partial Fraction Expansion 3
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Parabola Focus and Directrix 1
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Focus and Directrix of a Parabola 2
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Two Passing Bicycles Word Problem
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Passed Bike Word Problem
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Passing Trains
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Overtaking Word Problem
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Early Train Word Problem
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Officer on Horseback
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Rational Inequalities
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Rational Inequalities 2
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Interesting Polynomial Coefficient Problem
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Geometric series sum to figure out mortgage payments
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Introduction to Function Inverses
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Function Inverse Example 1
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Function Inverses Example 2
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Function Inverses Example 3
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Direct and Inverse Variation
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Recognizing Direct and Inverse Variation
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Recognizing Odd and Even Functions
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Connection between even and odd numbers and functions
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New Operator Definitions
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Proof by Induction
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Alternate Proof to Induction for Integer Sum
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Writing Proportions
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Coverting Repeating Decimals to Fractions 1
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Coverting Repeating Decimals to Fractions 2
