SQL standard includes many parts:
SQL/Foundation. This part contains the basic elements of the language.
SQL/CLI. This part includes independent mandatory features.
SQL/PSM. This part includes optional features.
Elements of SQL lanaguage:
Clauses. It contains components of statement and queries.
Expressions. It produces tables and values.
Predicates. It is used to limit the statement and queries.
Queries. Get the data based on standard.
Statements. It controls transactions, flow of program, sessions, etc.
Querries:
It's the most common operation in database. There're 5 clauses: From, Where, Group by, Having, Order by. Querries are widely used in many fields, for example, data manipulation, transaction controls, data definition, data control, etc.
What can SQL do?
1. Run queries based on a database
2. Get data from a database
3. Enter records to database
4. Update records
5. Delete records
6. Set precedures, views, permit on tables

SQL Diagrams 2004 screenshot
There're some SQL example as follow:
1. If you want to update a sales person, his name is Mike, his customers are in Quebec
You should use command: UPDATE customers SET salesperson = "Mike" WHERE state = "QC"
2. If you want to know what did your customers buy
You should use command: SELECT DISTINCT customers.customer_id, customers.customer_name
FROM customers INNER JOIN orders ON customers.customer_id = orders.customer_id
3. If you want to know the customers who never ordered from you
You should use command: SELECT customers.* FROM customers LEFT JOIN orders ON customers.customer_id = orders.customer_id WHERE orders.customer_id IS NULL
4. If you want to copy your customer's data from one table to another
You should use command: INSERT INTO customers(customer_id, customer_name)
SELECT cus_key, cus_name
FROM jimmyscustomers WHERE customer_name LIKE 'B%'
References
Refsnes Data (2009) Introduction to SQL
http://www.w3schools.com/SQL/sql_intro.asp
Wikipedia (3 April 2009) SQL
http://en.wikipedia.org/wiki/SQL
