- 1 - The Beauty of Algebra
- 2 - Origins of Algebra
- 3 - Abstract-ness
- 4 - Descartes and Cartesian Coordinates
- 5 - Variables Expressions and Equations
- 6 - Simple Equations
- 7 - Equations 2
- 8 - Equations 3
- 9 - Equations 4
- 10 - Algebra: Solving Inequalities
- 11 - Algebra: graphing lines 1
- 12 - Algebra: Slope and Y-intercept
- 13 - Algebra: Slope
- 14 - Algebra: Slope 2
- 15 - Algebra: Slope 3
- 16 - Algebra: Equation of a line
- 17 - Slope and Y-intercept Intuition
- 18 - Averages
- 19 - Integer sums
- 20 - Taking percentages
- 21 - Growing by a percentage
- 22 - Another Percent Word Problem
- 23 - More percent problems
- 24 - Systems of equations
- 25 - Introduction to Ratios
- 26 - Ratio problem with basic algebra
- 27 - More advanced ratio problem
- 28 - Alternate Solution to Ratio Problem
- 29 - Introduction to Ratios
- 30 - Advanced ratio problems
- 31 - Age word problems 1
- 32 - Age word problems 2
- 33 - Age word problems 3
- 34 - Level 1 multiplying expressions
- 35 - Solving a quadratic by factoring
- 36 - Introduction to i and Imaginary Numbers
- 37 - Calculating i Raised to Arbitrary Exponents
- 38 - i as the Principal Root of -1 (a little technical)
- 39 - Complex Numbers (part 1)
- 40 - Complex Numbers (part 2)
- 41 - Introduction to the quadratic equation
- 42 - Quadratic Equation part 2
- 43 - Completing the square
- 44 - Quadratic Formula (proof)
- 45 - Quadratic Inequalities
- 46 - Quadratic Inequalities (Visual Explanation)
- 47 - Introduction to functions
- 48 - Functions - Part 2
- 49 - Functions - Part 3
- 50 - Functions - Part 4
- 51 - Domain of a function
- 52 - Proof: log a + log b = log ab
- 53 - Proof: A(log B) = log (B^A), log A - log B = log (A/B)
- 54 - Proof: log_a (B) = (log_x (B))/(log_x (A))
- 55 - Algebraic Long Division
- 56 - Introduction to Conic Sections
- 57 - Conic Sections: Intro to Circles
- 58 - Conic Sections: Intro to Ellipses
- 59 - Conic Sections: Intro to Hyperbolas
- 60 - Conic Sections: Hyperbolas 2
- 61 - Conic Sections: Hyperbolas 3
- 62 - Identifying Conics 1
- 63 - Identifying Conics 2
- 64 - Conic Identification 3
- 65 - Foci of an Ellipse
- 66 - Foci of a Hyperbola
- 67 - Proof: Hyperbola Foci
- 68 - Partial Fraction Expansion 1
- 69 - Partial Fraction Expansion 2
- 70 - Partial Fraction Expansion 3
- 71 - Parabola Focus and Directrix 1
- 72 - Focus and Directrix of a Parabola 2
- 73 - Two Passing Bicycles Word Problem
- 74 - Passed Bike Word Problem
- 75 - Passing Trains
- 76 - Overtaking Word Problem
- 77 - Early Train Word Problem
- 78 - Officer on Horseback
- 79 - Rational Inequalities
- 80 - Rational Inequalities 2
- 81 - Interesting Polynomial Coefficient Problem
- 82 - Geometric series sum to figure out mortgage payments
- 83 - Introduction to Function Inverses
- 84 - Function Inverse Example 1
- 85 - Function Inverses Example 2
- 86 - Function Inverses Example 3
- 87 - Direct and Inverse Variation
- 88 - Recognizing Direct and Inverse Variation
- 89 - Recognizing Odd and Even Functions
- 90 - Connection between even and odd numbers and functions
- 91 - New Operator Definitions
- 92 - Proof by Induction
- 93 - Alternate Proof to Induction for Integer Sum
- 94 - Writing Proportions
- 95 - Coverting Repeating Decimals to Fractions 1
- 96 - Coverting Repeating Decimals to Fractions 2

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- The Beauty of Algebra