Learn more: http://www.khanacademy.org/video?v=kpCJyQ2usJ4 Why the abstraction of mathematics is so fundamental

860,834 views

Learn more: http://www.khanacademy.org/video?v=_LDR1_Prveo Where did the word "Algebra" and its underlying ideas come from

376,326 views

Learn more: http://www.khanacademy.org/video?v=ZOYRb2sYrL0 The general idea behind the word 'abstract'

198,618 views

Learn more: http://www.khanacademy.org/video?v=N4nrdf0yYfM Bridging algebra and geometry. What makes linear equations so linear.

282,823 views

Learn more: http://www.khanacademy.org/video?v=vDqOoI-4Z6M Introduction and examples of variables, expressions and equations

331,681 views

Learn more: http://www.khanacademy.org/video?v=9Ek61w1LxSc Introduction to basic algebraic equations of the form Ax=B

1,447,037 views

Learn more: http://www.khanacademy.org/video?v=XoEn1LfVoTo slightly more complicated equations

595,795 views

Learn more: http://www.khanacademy.org/video?v=f15zA0PhSek Equations with the variable on both sides.

428,458 views

Learn more: http://www.khanacademy.org/video?v=9IUEk9fn2Vs Solving linear equations with variable expressions in the denominators of fractions

664,649 views

Solving linear inequalities.

411,369 views

Learn more: http://www.khanacademy.org/video?v=2UrcUfBizyw Graphing linear equations

343,104 views

Learn more: http://www.khanacademy.org/video?v=Nhn-anmubYU Getting a feel for slope and y-intercept

295,815 views

Learn more: http://www.khanacademy.org/video?v=hXP1Gv9IMBo Figuring out the slope of a line

354,041 views

Learn more: http://www.khanacademy.org/video?v=Kk9IDameJXk Second part of determining the slope of a line

193,582 views

Learn more: http://www.khanacademy.org/video?v=8XffLj2zvf4 Part 3 of slope

132,819 views

Learn more: http://www.khanacademy.org/video?v=gvwKv6F69F0 Determining the equation of a line

248,302 views

Learn more: http://www.khanacademy.org/video?v=8sz1IPjBRS8 Using the "Graph of a line" module to understand how a line's graph changes when its slope or y-intercept is changed.

174,527 views

Learn more: http://www.khanacademy.org/video?v=9VZsMY15xeU Introduction to averages and algebra problems involving averages.

202,500 views

Learn more: http://www.khanacademy.org/video?v=W254ewkkMck Adding sums of consecutive integers

185,359 views

Learn more: http://www.khanacademy.org/video?v=_SpE4hQ8D_o Taking a percentage of a number.

312,111 views

Learn more: http://www.khanacademy.org/video?v=X2jVap1YgwI Growing a quantity by a percentage

182,072 views

Learn more: http://www.khanacademy.org/video?v=d1oNF88SAgg Finding the full price when you know the discount price

148,362 views

Learn more: http://www.khanacademy.org/video?v=4oeoIOan_h4 Slightly harder percent problems

119,545 views

Learn more: http://www.khanacademy.org/video?v=nok99JOhcjo systems of equations

236,573 views

Learn more: http://www.khanacademy.org/video?v=HpdMJaKaXXc What a ratio is. Simple ratio problems.

396,357 views

Learn more: http://www.khanacademy.org/video?v=ITVQrzDSekU A slightly more involved ratio problem with algebra

104,695 views

Learn more: http://www.khanacademy.org/video?v=ItA_hhRtUuw More advance ratio problem with algebra.

73,458 views

Learn more: http://www.khanacademy.org/video?v=-xyTz0WZ1W4 An alternate solution to the advanced ratio problem in the last video.

40,766 views

Basic ratio problems. (from KhanAcademy.org)

156,350 views

Learn more: http://www.khanacademy.org/video?v=PASSD2OcU0c More advanced ratio problems

83,574 views

Learn more: http://www.khanacademy.org/video?v=bAUT_Pux73w Age word problems

217,220 views

Learn more: http://www.khanacademy.org/video?v=pPqPj8CAPvI Second set of age word problems

103,647 views

Learn more: http://www.khanacademy.org/video?v=DplUpe3oyWo Part 3 of the presentation on age word problems

95,545 views

Learn more: http://www.khanacademy.org/video?v=Sc0e6xrRJYY (Ax+By)(Ax+By)

106,158 views

Learn more: http://www.khanacademy.org/video?v=N30tN9158Kc factoring quadratics

233,192 views

Learn more: http://www.khanacademy.org/video?v=ysVcAYo7UPI Introduction to i and imaginary numbers

143,278 views

Learn more: http://www.khanacademy.org/video?v=QiwfF83NWNA Calculating i raised to arbitrarily high exponents

80,960 views

Learn more: http://www.khanacademy.org/video?v=rYG1D5lUE4I i as the principal square root of -1

58,177 views

Learn more: http://www.khanacademy.org/video?v=kpywdu1afas Introduction to complex numbers. Adding, subtracting and multiplying complex numbers.

384,100 views

Learn more: http://www.khanacademy.org/video?v=bPqB9a1uk_8 Dividing complex numbers. Complex conjugates.

211,856 views

Learn more: http://www.khanacademy.org/video?v=IWigvJcCAJ0 Introduction to using the quadratic equation to solve 2nd degree polynomials

257,492 views

Learn more: http://www.khanacademy.org/video?v=y19jYxzY8Y8 2 more examples of solving equations using the quadratic equation

160,702 views

Learn more: http://www.khanacademy.org/video?v=gzm-uhj06q8 Solving a quadratic by completing the square.

361,601 views

Learn more: http://www.khanacademy.org/video?v=mDmRYfma9C0 Deriving the quadratic formula by completing the square.

128,966 views

Solving quadratic inequalities using factoring

123,466 views

How to solve a quadratic inequality. Visual intuition of what a quadratic inequality means.

85,074 views

Learn more: http://www.khanacademy.org/video?v=VhokQhjl5t0 An introduction to functions.

521,689 views

Learn more: http://www.khanacademy.org/video?v=XEblO51pF5I More examples of solving function problems

311,268 views

Learn more: http://www.khanacademy.org/video?v=5fcRSie63Hs Even more examples of function exercises. Introduction of a graph as definition of a function.

187,732 views

Learn more: http://www.khanacademy.org/video?v=rbt51hXmzig An example of a functions problem submitted by a youtube viewer

148,209 views

Learn more: http://www.khanacademy.org/video?v=U-k5N1WPk4g Figuring out the domain of a function

318,305 views

Learn more: http://www.khanacademy.org/video?v=FP2arCfAfBY Proof of the logarithm property: log a + log b = log ab

150,199 views

Learn more: http://www.khanacademy.org/video?v=yEAxG_D1HDw Proofs of the logarithm properties: A(log B) = log (B^A) and log A - log B = log (A/B)

79,116 views

Learn more: http://www.khanacademy.org/video?v=cKOtT4WnZb4 Proof of the logarithm property log_a (B) = (log_x (B))/(log_x (A))

53,066 views

Learn more: http://www.khanacademy.org/video?v=4u8_AMacu-Y Dividing one polynomial into another

127,425 views

Learn more: http://www.khanacademy.org/video?v=0A7RR0oy2ho What are conic sections and why are they called "conic sections"?

225,596 views

Learn more: http://www.khanacademy.org/video?v=6r1GQCxyMKI Introduction to the Circle

144,544 views

Learn more: http://www.khanacademy.org/video?v=lvAYFUIEpFI Introduction to the ellipse.

153,055 views

Learn more: http://www.khanacademy.org/video?v=pzSyOTkAsY4 Introduction to the hyperbola

137,551 views

Learn more: http://www.khanacademy.org/video?v=hl58vTCqVIY Continuation of the intro to hyperbolas

69,264 views

Learn more: http://www.khanacademy.org/video?v=lGQw-W1PxBE Part 3 of the intro to hyperbolas

56,196 views

Learn more: http://www.khanacademy.org/video?v=LSJuu4Qm2qQ Part 1 of identifying and graphic conic sections

90,528 views

Learn more: http://www.khanacademy.org/video?v=cvA4VN1dpuY Part 2 of identifying and graphing conic sections

49,018 views

Learn more: http://www.khanacademy.org/video?v=Dru0RHgfp2g Let's identify (and graph) a couple of more conics!

41,962 views

Learn more: http://www.khanacademy.org/video?v=QR2vxfwiHAU Calculating the foci (or focuses) of an Ellipse.

116,071 views

Learn more: http://www.khanacademy.org/video?v=S0Fd2Tg2v7M Introduction to the foci (focuses) of a hyperbola

68,158 views

Learn more: http://www.khanacademy.org/video?v=HPRFmu7JsKU Proof of the hyperbola foci formula

33,856 views

Learn more: http://www.khanacademy.org/video?v=S-XKGBesRzk Introduction to partial fraction expansion

221,742 views

Learn more: http://www.khanacademy.org/video?v=6FrPLJY0rqM A more complex problem

116,682 views

Learn more: http://www.khanacademy.org/video?v=A52fEdPn9lg Dealing with repeated factors

82,988 views

Learn more: http://www.khanacademy.org/video?v=ZJf9shWlMz0 Parabola as the locus of all points equidistant from a point and a line

189,651 views

Learn more: http://www.khanacademy.org/video?v=1Jm9rREA-uA Finding the focus and directrix of a parabola

90,659 views

Learn more: http://www.khanacademy.org/video?v=Nx4Xk5S4HQA Algebra word problem involving two bicycles passing each other.

51,383 views

Learn more: http://www.khanacademy.org/video?v=P03ljxjy8Nw Fun algebra word problem involving a train passing a bike.

29,295 views

Learn more: http://www.khanacademy.org/video?v=qLLjD-g_9ms Trains passing at different rates.

49,056 views

Learn more: http://www.khanacademy.org/video?v=LYWUHaWwY0c 3 people overtaking each other at different rates

34,629 views

Learn more: http://www.khanacademy.org/video?v=uA3m8vbd2wc Fun word problem that is almost a brain teaser.

49,758 views

Learn more: http://www.khanacademy.org/video?v=IPJAi5zWu9U Not quite a brain teaser but fun nonetheless!

45,174 views

Two ways to solve a rational inequality (or an inequality involving a fractional expression)

57,932 views

Learn more: http://www.khanacademy.org/video?v=2RnS3fSHVV8 Slightly harder rational inequality problem

38,653 views

Learn more: http://www.khanacademy.org/video?v=hypi8QPsFEk Finding the coefficients of a third degree polynomial given 2 roots and the y-intercept

59,075 views

Figuring out the formula for fixed mortgage payments using the sum of a geometric series

35,889 views

Learn more: http://www.khanacademy.org/video?v=W84lObmOp8M Introduction to Function Inverses

155,870 views

Learn more: http://www.khanacademy.org/video?v=wSiamij_i_k Function Inverse Example 1

144,883 views

Learn more: http://www.khanacademy.org/video?v=aeyFb2eVH1c Function Inverses Example 2

73,129 views

Learn more: http://www.khanacademy.org/video?v=Bq9cq9FZuNM Function Inverses Example 3

62,187 views

Learn more: http://www.khanacademy.org/video?v=92U67CUy9Gc Understanding direct and inverse variation

93,992 views

Learn more: http://www.khanacademy.org/video?v=3_DxJwDTbyQ Examples of variables varying directly and inversely

32,289 views

Learn more: http://www.khanacademy.org/video?v=8VgmBe3ulb8 Even and odd functions

85,100 views

Learn more: http://www.khanacademy.org/video?v=jFazrvLodrA A possible reason why even functions are called "even" and odd functions are called "odd"

26,554 views

Learn more: http://www.khanacademy.org/video?v=ND-Bbp_q46s Getting comfortable with evaluating newly defined function operators

66,961 views

Learn more: http://www.khanacademy.org/video?v=wblW_M_HVQ8 Proving an expression for the sum of all positive integers up to and including n by induction

108,491 views

Another way to prove the expression for the sum of all positive integers up to and including n

16,490 views

Learn more: http://www.khanacademy.org/video?v=96ZEmUbnuU8 Setting up proportions to solve a word problem

104,762 views

Learn more: http://www.khanacademy.org/video?v=FPNhCVZlbJs Examples of how to convert basic repeating decimals to fractions

110,377 views

Learn more: http://www.khanacademy.org/video?v=Ihws0d-WLzU Converting more interesting repeating decimals to fractions

64,783 views