Course: Algebra Dnatube
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Lec 1 - The Beauty of Algebra
The Beauty of Algebra Why the abstraction of mathematics is so fundamental
Lec 2 - Origins of Algebra
Origins of Algebra Where did the word "Algebra" and its underlying ideas come from
Lec 3 - Abstract-ness
Abstract-ness The general idea behind the word 'abstract'
Lec 4 - Descartes and Cartesian Coordinates
Descartes and Cartesian Coordinates Bridging algebra and geometry. What makes linear equations so linear.
Lec 5 - Variables Expressions and Equations
Variables Expressions and Equations Introduction and examples of variables, expressions and equations
Lec 6 - Simple Equations
Simple Equations Introduction to basic algebraic equations of the form Ax=B
Lec 7 - Equations 2
Equations 2 slightly more complicated equations
Lec 8 - Equations 3
Equations 3 Equations with the variable on both sides.
Lec 9 - Algebra: Linear Equations 4
Algebra: Linear Equations 4 Solving linear equations with variable expressions in the denominators of fractions
Lec 10 - Algebra: Solving Inequalities
Algebra: Solving Inequalities Solving linear inequalities.
Lec 11 - Algebra: graphing lines 1
Algebra: graphing lines 1 Graphing linear equations
Lec 12 - Algebra: Slope and Y-intercept ...
Algebra: Slope and Y-intercept intuition Getting a feel for slope and y-intercept
Lec 13 - Algebra: Slope
Algebra: Slope Figuring out the slope of a line
Lec 14 - Algebra: Slope 2
Algebra: Slope 2 Second part of determining the slope of a line
Lec 15 - Algebra: Slope 3
Algebra: Slope 3 Part 3 of slope
Lec 16 - Algebra: Equation of a line
Algebra: Equation of a line Determining the equation of a line
Lec 17 - Slope and Y-intercept Intuition
Slope and Y-intercept Intuition Using the "Graph of a line" module to understand how a line's graph changes when its slope or y-intercept is changed.
Lec 18 - Averages
Averages Introduction to averages and algebra problems involving averages.
Lec 19 - Integer sums
Integer sums Adding sums of consecutive integers
Lec 20 - Taking percentages
Taking percentages Taking a percentage of a number.
Lec 21 - Growing by a percentage
Growing by a percentage Growing a quantity by a percentage
Lec 22 - Another Percent Word Problem
Another Percent Word Problem Finding the full price when you know the discount price
Lec 23 - More percent problems
More percent problems Slightly harder percent problems
Lec 24 - systems of equations
systems of equations systems of equations
Lec 25 - Introduction to Ratios (new HD ...
This is a lecture of Khan Academy. What a ratio is. Simple ratio problems.
Lec 26 - Ratio problem with basic algebr ...
Ratio problem with basic algebra (new HD) A slightly more involved ratio problem with algebra
Lec 27 - More advanced ratio problem--wi ...
More advanced ratio problem--with Algebra (HD version) More advance ratio problem with algebra.
Lec 28 - Alternate Solution to Ratio Pro ...
Alternate Solution to Ratio Problem (HD Version) An alternate solution to the advanced ratio problem in the last video.
Lec 29 - Introduction to Ratios
Introduction to Ratios Basic ratio problems. (from KhanAcademy.org)
Lec 30 - Advanced ratio problems
Advanced ratio problems More advanced ratio problems
Lec 31 - Age word problems 1
Age word problems 1 Age word problems
Lec 32 - Age word problems 2
Age word problems 2 Second set of age word problems
Lec 33 - Age word problems 3
Age word problems 3 Part 3 of the presentation on age word problems
Lec 34 - Level 1 multiplying expressions
Level 1 multiplying expressions (Ax+By)(Ax+By)
Lec 35 - Solving a quadratic by factoring
Solving a quadratic by factoring factoring quadratics
Lec 36 - Introduction to i and Imaginary ...
Introduction to i and Imaginary Numbers Introduction to i and imaginary numbers
Lec 37 - Calculating i Raised to Arbitra ...
Calculating i Raised to Arbitrary Exponents Calculating i raised to arbitrarily high exponents
Lec 38 - i as the Principal Root of -1 ( ...
i as the Principal Root of -1 (a little technical) i as the principal square root of -1
Lec 39 - Complex Numbers (part 1)
Complex Numbers (part 1) Introduction to complex numbers. Adding, subtracting and multiplying complex numbers.
Lec 40 - Complex Numbers (part 2)
Complex Numbers (part 2) Dividing complex numbers. Complex conjugates.
Lec 41 - Introduction to the quadratic e ...
Introduction to the quadratic equation Introduction to using the quadratic equation to solve 2nd degree polynomials
Lec 42 - Quadratic Equation part 2
Quadratic Equation part 2 2 more examples of solving equations using the quadratic equation
Lec 43 - Completing the square
Completing the square Solving a quadratic by completing the square.
Lec 44 - Quadratic Formula (proof)
Quadratic Formula (proof) Deriving the quadratic formula by completing the square.
Lec 45 - Quadratic Inequalities
Quadratic Inequalities Solving quadratic inequalities using factoring
Lec 46 - Quadratic Inequalities (Visual ...
Quadratic Inequalities (Visual Explanation) How to solve a quadratic inequality. Visual intuition of what a quadratic inequality means.
Lec 47 - Introduction to functions
Introduction to functions An introduction to functions.
Lec 48 - Functions Part 2
Functions Part 2 More examples of solving function problems
Lec 49 - Functions (Part III)
Functions (Part III) Even more examples of function exercises. Introduction of a graph as definition of a function.
Lec 50 - Functions (part 4)
Functions (part 4) An example of a functions problem submitted by a youtube viewer
Lec 51 - Domain of a function
Domain of a function Figuring out the domain of a function
Lec 52 - Proof: log a + log b = log ab
Proof: log a + log b = log ab Proof of the logarithm property: log a + log b = log ab
Lec 53 - Proof: A(log B) = log (B^A), lo ...
Proof: A(log B) = log (B^A), log A - log B = log (A/B) Proofs of the logarithm properties: A(log B) = log (B^A) and log A - log B = log (A/B)
Lec 54 - Proof: log_a (B) = (log_x (B))/ ...
Proof: log_a (B) = (log_x (B))/(log_x (A)) Proof of the logarithm property log_a (B) = (log_x (B))/(log_x (A))
Lec 55 - Algebraic Long Division
Algebraic Long Division Dividing one polynomial into another
Lec 56 - Introduction to Conic Sections
Introduction to Conic Sections What are conic sections and why are they called "conic sections"?
Lec 57 - Conic Sections: Intro to Circles
Conic Sections: Intro to Circles Introduction to the Circle
Lec 58 - Conic Sections: Intro to Ellipses
Conic Sections: Intro to Ellipses Introduction to the ellipse.
Lec 59 - Conic Sections: Intro to Hyperbolas
Conic Sections: Intro to Hyperbolas Introduction to the hyperbola
Lec 60 - Conic Sections: Hyperbolas 2
Conic Sections: Hyperbolas 2 Continuation of the intro to hyperbolas
Lec 61 - Conic Sections: Hyperbolas 3
Conic Sections: Hyperbolas 3 Part 3 of the intro to hyperbolas
Lec 62 - Identifying Conics 1
Identifying Conics 1 Part 1 of identifying and graphic conic sections
Lec 63 - Identifying Conics 2
Identifying Conics 2 Part 2 of identifying and graphing conic sections
Lec 64 - Conic Identification 3
Conic Identification 3 Let's identify (and graph) a couple of more conics!
Lec 65 - Foci of an Ellipse
Foci of an Ellipse Calculating the foci (or focuses) of an Ellipse.
Lec 66 - Foci of a Hyperbola
Foci of a Hyperbola Introduction to the foci (focuses) of a hyperbola
Lec 67 - Proof: Hyperbola Foci
Proof: Hyperbola Foci Proof of the hyperbola foci formula
Lec 68 - Partial Fraction Expansion 1
Partial Fraction Expansion 1 Introduction to partial fraction expansion
Lec 69 - Partial Fraction Expansion 2
Partial Fraction Expansion 2 A more complex problem
Lec 70 - Partial Fraction Expansion 3
Partial Fraction Expansion 3 Dealing with repeated factors
Lec 71 - Parabola Focus and Directrix 1
Parabola Focus and Directrix 1 Parabola as the locus of all points equidistant from a point and a line
Lec 72 - Focus and Directrix of a Parabola 2
Focus and Directrix of a Parabola 2 Finding the focus and directrix of a parabola
Lec 73 - Two Passing Bicycles Word Problem
Two Passing Bicycles Word Problem Algebra word problem involving two bicycles passing each other.
Lec 74 - Passed Bike Word Problem
Passed Bike Word Problem Fun algebra word problem involving a train passing a bike.
Lec 75 - Passing Trains
Passing Trains Trains passing at different rates.
Lec 76 - Overtaking Word Problem
Overtaking Word Problem 3 people overtaking each other at different rates
Lec 77 - Early Train Word Problem
Early Train Word Problem Fun word problem that is almost a brain teaser.
Lec 78 - Officer on Horseback
Officer on Horseback Not quite a brain teaser but fun nonetheless!
Lec 79 - Rational Inequalities
Rational Inequalities Two ways to solve a rational inequality (or an inequality involving a fractional expression)
Lec 80 - Rational Inequalities 2
Rational Inequalities 2 Slightly harder rational inequality problem
Lec 81 - Interesting Polynomial Coeffici ...
Interesting Polynomial Coefficient Problem Finding the coefficients of a third degree polynomial given 2 roots and the y-intercept
Lec 82 - Geometric series sum to figure ...
Geometric series sum to figure out mortgage payments Figuring out the formula for fixed mortgage payments using the sum of a geometric series
Lec 83 - Introduction to Function Inverses
Introduction to Function Inverses Introduction to Function Inverses
Lec 84 - Function Inverse Example 1
Function Inverse Example 1 Function Inverse Example 1
Lec 85 - Function Inverses Example 2
Function Inverses Example 2 Function Inverses Example 2
Lec 86 - Function Inverses Example 3
Function Inverses Example 3 Function Inverses Example 3
Lec 87 - Direct and Inverse Variation
Direct and Inverse Variation Understanding direct and inverse variation
Lec 88 - Recognizing Direct and Inverse ...
Recognizing Direct and Inverse Variation Examples of variables varying directly and inversely
Lec 89 - Recognizing Odd and Even Functions
Recognizing Odd and Even Functions Even and odd functions
Lec 90 - Connection between even and odd ...
Connection between even and odd numbers and functions A possible reason why even functions are called "even" and odd functions are called "odd"
Lec 91 - New Operator Definitions
New Operator Definitions Getting comfortable with evaluating newly defined function operators
Lec 92 - Proof by Induction
Proof by Induction Proving an expression for the sum of all positive integers up to and including n by induction
Lec 93 - Alternate Proof to Induction fo ...
Alternate Proof to Induction for Integer Sum Another way to prove the expression for the sum of all positive integers up to and including n
Lec 94 - Writing Proportions
Writing Proportions Setting up proportions to solve a word problem
Lec 95 - Coverting Repeating Decimals to ...
Coverting Repeating Decimals to Fractions 1 Examples of how to convert basic repeating decimals to fractions
Lec 96 - Coverting Repeating Decimals to ...
Coverting Repeating Decimals to Fractions 2 Converting more interesting repeating decimals to fractions
Algebra
Source of these courses is khan
Topics covered from very basic algebra all the way through algebra II. This is the best algebra playlist to start at if you've never seen algebra before. Once you get your feet wet, you may want to try some of the videos in the "Algebra I Worked Examples" playlist.
khan Website: http://www.dnatube.com/school/khan
