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Po-Shen Loh way0:20:03

Po-Shen Loh way of solving quadratic equations .

Another way of0:08:20

Another way of factoring trinomials .

There is no0:15:52

There is no simple group of order 132 .

There is no0:21:27

There is no simple group of order pqr .

Using Sylow's theorems0:35:09

Using Sylow's theorems we show that there is no non-abelian, simple group of size 90 .

If |G| =0:11:57

If |G| = p^2, then G is abelian .

If G is0:09:42

If G is a p group, then Z(G) is non trivial .

A finite integral0:12:36

A finite integral domain is a field .

Basic properties of0:12:09

Basic properties of a ring .

If for every0:03:59

If for every x in the ring R, x^2=x then R must be commutative .

A commutative ring0:05:55

A commutative ring is an integral domain iff it has the cancellation law .

Proof of Sylow0:44:03

Proof of Sylow 1st Theorem .

Sums & Differences0:18:21

Sums & Differences of Trig Functions .

How to use0:00:50

How to use Difference of Squares for numbers .

Product Rule for0:00:58

Product Rule for derivatives .

How to square0:00:56

How to square a number that ends in 5 .

Log of a0:00:50

Log of a product .

Log of a0:00:54

Log of a fraction .

multiple of a0:00:59

multiple of a log .

Change of base0:01:00

Change of base formula for logs .

We show another0:06:26

We show another proof about mappings .

We show that0:06:46

We show that two special mappings commute .

Proof about mappings0:08:14

Proof about mappings .

Proof that S_n0:13:00

Proof that S_n has a normal subgroup of index 2 .