The department is an approved research Centre of M G university. The doctoral program follows the M G university regulations. It includes a course work covering three courses and a thesis work. The research scholars are required to present their research progress in the half-yearly research meet before a Body of Research Guides and External Experts.

The Department of Mathematics, Sacred Heart College (Autonomous) Thevara, offers a post graduate degree program in Mathematics with a total of twenty theory courses and a project. The program not only enables the students at mastering the theoretical concepts of various branches of mathematics but also equips them with the necessary skills to succeed in competitive examinations like CSIR-NET, GATE and Ph.D. entrance examinations of institutions such as the IIT’s and the Indian Institute of Science.

The syllabus of the program is developed on the O.B.E. (Outcome Based Education) pattern and the program outcomes, program specific outcomes and in particular the course outcomes of each course are clearly elucidated. The total credits of the program is 80, of which 60 credits are allotted for the core courses (there are 5 courses of 4 credits each in each of the first three semesters), 15 credits are allotted to the five elective courses (3 credits for each elective course) in the final semester, 3 credits are allotted for the project and 2 credits are allotted for the comprehensive viva-voce to be conducted at the end of the fourth semester. The project is to be completed during the third and fourth semesters.

The overall focus of the syllabus is on enabling the students to mathematically model real world problems, develop their problem solving skills and enhance their logical skills and critical thinking ability.

The Programme in Mathematics include (1) Common courses, (2) Core courses,  (3) Choice Based Courses, (4) Open Courses, (5) Project, (6) Complementary Courses. The students can choose one language course from among French, Hindi and Malayalam. Open course may be offered in any subject and the student shall have the option to do courses offered by other departments other than Mathematics in the fifth semester. Every student has to do a project during the 6th semester. The topics for the project can be selected as early as the beginning of the 5th semester. Physics and Statistics are the Complementary Courses during the first four semesters.

Department of Mathematics offers the open course ‘ Applicable Mathematics’ to the other streams during the fifth Semester. The syllabus of the program is developed on the O.B.E. (Outcome Based Education) pattern and the program outcomes, program specific outcomes and in particular the course outcomes of each course are clearly elucidated.

This  course  is  aimed  at  creating  a  concern  among  students  on  energy  conservation  and environmental protection. Studentsfrom all streamsexcept those from Physics might enrolfor this course. This is a purely lecture based four credit courseconsisting of 72 teaching hours. In brief the course outline is as follows: It deals with the energy sources which are currently accessed and  brings  out  the  need  for  conservation  of  energy  and  increasingly  depending  on  non-conventional  energy  sources  like  solar,  tidal  etc.There  is  a  detailed  discussion  on  various  solar energy  based  devices,  which  one  can  implement  in  daily  lives.  In  addition,  the  basic  ideas  on environmental  pollution  and  its  harmful  effects  are  touched  upon and the  need  for  bringing pollution levels to a minimum is emphasized. The  course also deals with environmental impact assessment  and  statutory  provisions concerning  conservation  of  environment.A  student  who attends  this  course  would definitelygain a better  understanding  of  the  energy  sources  currently available to us and the environment we live in so that he/she might aim for sustainable living.

This course is part of the UG programme and hence assessment of student progression is that of our UG programme.