[RESOLVED] Am I doing this 2NF in the right way?

[nikel]

Hello, I'm learning normalization and I wonder if I'm doing this right, and does this database need 3NF:

Un-normalized

DEPARTMENT
+-------------------------------------------------------------------------------+
|  Dname           | Dnumber |  Dmgr_ssn   |  Dlocations                        |
|-------------------------------------------------------------------------------+
|  Research        |    5    |  333445555  |  { Bellaire, Sugarland, Houston }  |
|-------------------------------------------------------------------------------+
|  Administration  |    4    |  987654321  |  { Stafford }                      |
|-------------------------------------------------------------------------------+
|  Headquarters    |    1    |  888665555  |  { Houston }                       |
+-------------------------------------------------------------------------------+

1NF

DEPARTMENT
+--------------------------------------------------------+
|  Dname           | Dnumber |  Dmgr_ssn   |  Dlocation  |
|--------------------------------------------------------|
|  Research        |    5    |  333445555  |  Bellaire   |
|--------------------------------------------------------|
|  Research        |    5    |  333445555  |  Sugarland  |
|--------------------------------------------------------|
|  Research        |    5    |  333445555  |  Houston    |
|--------------------------------------------------------|
|  Administration  |    4    |  987654321  |  Stafford   |
|--------------------------------------------------------|
|  Headquarters    |    1    |  888665555  |  Houston    |
+--------------------------------------------------------+

2NF

DEPARTMENT
+------------------------------------------+
|  Dname           | Dnumber |  Dmgr_ssn   |
|------------------------------------------|
|  Research        |    5    |  333445555  |
|------------------------------------------|
|  Administration  |    4    |  987654321  |
|------------------------------------------|
|  Headquarters    |    1    |  888665555  |
+------------------------------------------+

LOCATION_MAP
+-----------------+
| Dnumber | LocID |
|-----------------|
|    5    |   1   |
|-----------------|
|    5    |   2   |
|-----------------|
|    5    |   3   |
|-----------------|
|    4    |   4   |
|-----------------|
|    1    |   3   |
+-----------------+

LOCATIONS
+----------------------------+
|  LocID  |  Location        |
|----------------------------|
|    1    |  Bellaire        |
|----------------------------|
|    2    |  Sugarland       |
|----------------------------|
|    3    |  Houston         |
|----------------------------|
|    4    |  Stafford        |
+----------------------------+