As per me Patna University does not offered B.ed program by Correspondence , but it offered it in regular mode:

Duration of the Course:
One year.

Subject Offered in B.Ed :

English,
Hindi,
Sanskrit,
Urdu,
Persian,
Arabic,
History,
Civics / Political Science,
Geography,
Economics,
Home Science,
Physical Science,
Biological Science,
Mathematics,
Commerce,
Computer Science

Eligibility: Applicant should have a Bachelor’s degree in Science and Arts discipline with 50% (45% for SC/ST) of marks from a recognized university.

B.ed Colleges under Patna University

St. Xavier’s College of Education
Digha Ghat P.O. Patna-800011, BIHAR


Islamia Teachers’ Training (B.Ed.) College
Phulwari Sharif and Danapur Junction Patna


Sattar Memorial College of Education
Haji Hanman Road,
Phulwari Sharif, Patna


Mirza Ghalib Teacher’s Training College
A/7, Indrapuri Colony, Ashiana Road, Raza Bazar, P.O – B.V.College


National Teacher’s Training College
B.M. Das Road,
Patna


Nezamia College of Education
Jamaluddin Chak,
Gurgawan (Model Colony),
P.O.Khagaul


Patliputra Teachers’ Training College
Old Maulana Azad Engineering College Campus, Alinagar, Anisabad Patna


R.P.S. Teachers’ Training College
R.P.S. Complex, New Bailey Road, Near Saguna More


Patna Training College,
Patna University,
Patna


Adwaita Mission Training College
P.O. Mandar Vidyapeeth,
Via: Bounsi, Banka

Address:
The Registrar
Patna University,
Patna – 800 005., Bihar, India
Ph. No. – 0612 – 2670531