#### 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 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 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 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

#### khan

Videos are obtained from khan
COURSE NAME: Algebra