Say you have a table and need to rename "colb" to "col_b":
First you rename the old table:
ALTER TABLE orig_table_name RENAME TO tmp_table_name;
Then create the new table,based on the old table but with the updated column name:
CREATE TABLE orig_table_name ( col_a INT , col_b INT );
Then copy the contents across from the original table.
INSERT INTO orig_table_name(col_a, col_b) SELECT col_a, colb FROM tmp_table_name;
Lastly,drop the old table.
DROP TABLE tmp_table_name;
Wrapping all this in aBEGIN TRANSACTION;
andCOMMIT;
is also probably a good idea.