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Khan Academy
Precalculus
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1
Introduction to Limits (HD)
by Khan Academy
953,471 views
Learn more: http://www.khanacademy.org/video?v=riXcZT2ICjA
Introduction to Limits (HD) -
2
Introduction to Limits
by Khan Academy
771,809 views
Learn more: http://www.khanacademy.org/video?v=W0VWO4asgmk
Introduction to the intuition behind limits -
3
Limit Examples (part 1)
by Khan Academy
682,783 views
Learn more: http://www.khanacademy.org/video?v=GGQngIp0YGI
Some limit exercises -
4
Limit Examples (part 2)
by Khan Academy
452,152 views
Learn more: http://www.khanacademy.org/video?v=YRw8udexH4o
More limit examples -
5
Limit Examples (part3)
by Khan Academy
414,912 views
Learn more: http://www.khanacademy.org/video?v=gWSDDopD9sk
More limit examples -
6
Limit Examples w/ brain malfunction on first prob (part 4)
by Khan Academy
310,567 views
Learn more: http://www.khanacademy.org/video?v=xjkSE9cPqzo
3 interesting limit examples (correct answer for problem 1 is 3/16 (6/(4*8) NOT 6/(4+8)) -
7
Squeeze Theorem
by Khan Academy
360,955 views
Learn more: http://www.khanacademy.org/video?v=igJdDN-DPgA
Intuition (but not a proof) of the Squeeze Theorem. -
8
Proof: lim (sin x)/x
by Khan Academy
451,914 views
Learn more: http://www.khanacademy.org/video?v=Ve99biD1KtA
Using the squeeze theorem to prove that the limit as x approaches 0 of (sin x)/x =1 -
9
More Limits
by Khan Academy
194,779 views
Learn more: http://www.khanacademy.org/video?v=rkeU8_4nzKo
More limit examples -
10
Sequences and Series (part 1)
by Khan Academy
429,359 views
Learn more: http://www.khanacademy.org/video?v=VgVJrSJxkDk
Introduction to the arithmetic and geometric series -
11
Sequences and series (part 2)
by Khan Academy
284,261 views
Learn more: http://www.khanacademy.org/video?v=U_8GRLJplZg
Finding the sum of an infinite geometric series. -
12
Permutations
by Khan Academy
365,410 views
Learn more: http://www.khanacademy.org/video?v=XqQTXW7XfYA
Introduction to permutations -
13
Combinations
by Khan Academy
289,438 views
Learn more: http://www.khanacademy.org/video?v=bCxMhncR7PU
Introduction to combinations -
14
Binomial Theorem (part 1)
by Khan Academy
237,790 views
Learn more: http://www.khanacademy.org/video?v=Cv4YhIMfbeM
Introduction to raising (a+b)^n -
15
Binomial Theorem (part 2)
by Khan Academy
123,971 views
Learn more: http://www.khanacademy.org/video?v=-fFWWt1m9k0
Binomial Theorem and Pascal's Triangle -
16
Binomial Theorem (part 3)
by Khan Academy
78,026 views
Learn more: http://www.khanacademy.org/video?v=xF_hJaXUNfE
Intuition behind why binomial expansion involves combinatorics -
17
Introduction to interest
by Khan Academy
589,693 views
Learn more: http://www.khanacademy.org/video?v=GtaoP0skPWc
What interest is. Simple versus compound interest. -
18
Interest (part 2)
by Khan Academy
207,294 views
Learn more: http://www.khanacademy.org/video?v=t4zfiBw0hwM
More on simple and compound interest -
19
Introduction to compound interest and e
by Khan Academy
166,869 views
Learn more: http://www.khanacademy.org/video?v=qEB6y4DklNY
Compounding interest multiple times a year. -
20
Compound Interest and e (part 2)
by Khan Academy
108,788 views
Learn more: http://www.khanacademy.org/video?v=dzMvqJMLy9c
Compounding 100% annual interest continuously over a year converges to e (2.71...) -
21
Compound Interest and e (part 3)
by Khan Academy
84,778 views
Learn more: http://www.khanacademy.org/video?v=sQYpUJV8foY
Continuously compounding $P in principal at an annual interest rate of r for a year ends up with a final payment of $Pe^r -
22
Compound Interest and e (part 4)
by Khan Academy
67,914 views
Learn more: http://www.khanacademy.org/video?v=VAxHMTJRhmY
Continuously compounding for multiple years. -
23
Exponential Growth
by Khan Academy
154,764 views
Learn more: http://www.khanacademy.org/video?v=JWfTckls59k
Exponential growth involving bacteria (some calculus in part c). -
24
Polar Coordinates 1
by Khan Academy
204,659 views
Learn more: http://www.khanacademy.org/video?v=jexMSlSDubM
Introduction to polar coordinates -
25
Polar Coordinates 2
by Khan Academy
127,804 views
Learn more: http://www.khanacademy.org/video?v=zGpbSGj_vfE
Conversion from Cartesian to Polar Coordinates -
26
Polar Coordinates 3
by Khan Academy
110,008 views
Learn more: http://www.khanacademy.org/video?v=9iqN12hCn10
Converting between Cartesian and Polar functions -
27
Parametric Equations 1
by Khan Academy
217,570 views
Learn more: http://www.khanacademy.org/video?v=m6c6dlmUT1c
Introduction to parametric equations -
28
Parametric Equations 2
by Khan Academy
99,340 views
Learn more: http://www.khanacademy.org/video?v=wToSIQJ2o_8
Eliminating the parameter -
29
Parametric Equations 3
by Khan Academy
82,705 views
Learn more: http://www.khanacademy.org/video?v=57BiI_iD3-U
Removing the parameter from a more interesting example -
30
Parametric Equations 4
by Khan Academy
62,400 views
Learn more: http://www.khanacademy.org/video?v=IReD6c_njOY
Parametric Equations that "move" along the same path -
31
Introduction to Function Inverses
by Khan Academy
184,558 views
Learn more: http://www.khanacademy.org/video?v=W84lObmOp8M
Introduction to Function Inverses -
32
Function Inverse Example 1
by Khan Academy
168,994 views
Learn more: http://www.khanacademy.org/video?v=wSiamij_i_k
Function Inverse Example 1 -
33
Function Inverses Example 2
by Khan Academy
85,596 views
Learn more: http://www.khanacademy.org/video?v=aeyFb2eVH1c
Function Inverses Example 2 -
34
Function Inverses Example 3
by Khan Academy
71,761 views
Learn more: http://www.khanacademy.org/video?v=Bq9cq9FZuNM
Function Inverses Example 3 -
35
Basic Complex Analysis
by Khan Academy
71,336 views
Learn more: http://www.khanacademy.org/video?v=FwuPXchH2rA
Argand Diagram, magnitude, modulus, argument, exponential form -
36
Exponential form to find complex roots
by Khan Academy
53,158 views
Learn more: http://www.khanacademy.org/video?v=N0Y8ia57C24
Using exponential form to find complex roots -
37
Complex Conjugates
by Khan Academy
33,375 views
Learn more: http://www.khanacademy.org/video?v=BZxZ_eEuJBM
Complex Conjugates -
38
Series Sum Example
by Khan Academy
27,554 views
Learn more: http://www.khanacademy.org/video?v=A6fbDssPeac
2010 IIT JEE Paper 1 Problem 54 Series Sum -
39
Complex Determinant Example
by Khan Academy
11,868 views
Learn more: http://www.khanacademy.org/video?v=E7OkUomRq1Q
2010 IIT JEE Paper 1 Problem 53 Complex Determinant -
40
2003 AIME II Problem 8
by Khan Academy
15,406 views
Learn more: http://www.khanacademy.org/video?v=ZFN63oTeYzc
Sequence from the product of 2 arithmetic sequences -
41
Logarithmic Scale
by Khan Academy
103,670 views
Learn more: http://www.khanacademy.org/video?v=sBhEi4L91Sg
Understanding how logarithmic scale is different from linear scale and why it could be useful -
42
Vi and Sal Explore How We Think About Scale
by Khan Academy
56,147 views
Learn more: http://www.khanacademy.org/video?v=4xfOq00BzJA
Vi Hart (http://www.youtube.com/vihart) and Sal talk about how we humans perceive things nonlinearly -
43
Vi and Sal Talk About the Mysteries of Benford's Law
by Khan Academy
32,548 views
Learn more: http://www.khanacademy.org/video?v=6KmeGpjeLZ0
Vi Hart visits Khan Academy and talks about Benford's Law with Sal -
44
Benford's Law Explanation (Sequel to Mysteries of Benford's Law)
by Khan Academy
21,975 views
Learn more: http://www.khanacademy.org/video?v=SZUDoEdjTzg
Vi and Sal talk through the intuition of Benford's law (part 2)
