Maths

The syllabus for Odisha PG Mathematics Honours programme may vary depending on the institute or university offering the course. However, here is a general outline of the topics that are usually covered in the programme:
Semester 1:
Real Analysis
Linear Algebra
Modern Algebra
Semester 2:
Differential Equations
Complex Analysis
Topology
Semester 3:
Partial Differential Equations
Numerical Analysis
Measure Theory and Integration
Semester 4:
Functional Analysis
Algebraic Topology
Probability Theory and Stochastic Processes
In addition to these core topics, there may be elective courses or optional papers that students can choose based on their interests and career goals. It's important to note that the syllabus may differ slightly from one institute or university to another. Therefore, it's recommended that you check the official website of the institute or university offering the programme or contact them directly for the most accurate and up-to-date information on the syllabus. Please upvote if it was helpful.

A commerce student can apply for Statistics Honours provided they have studied Maths in class 12th. You can try for Delhi University colleges based on your percentage. Not all DU colleges provide Statistics Honours though. I believe the ones that provide this course are -
Kirori Mal College
Hindu College
Ramjas College
Lady Shri Ram College For Women
Ramanujan College
Sri Venkateswara College
Check that out when the merit list is released. There are a number of other good institutes as well that conduct their own entrance exams for the course like BHU, ISI, NMIMS, Symbiosis School of Liberal Arts etc. Fill out the entrance exams as well. Although some of the deadlines for the form submission have passed. Get more information about these entrances on the websites of these institutes.

Here are some popular courses you can consider:
Master of Science in Physics If you have a strong interest in Physics you can opt for a Master's degree in Physics. This programme typically covers advanced topics in classical mechanics, electromagnetism, quantum mechanics, statistical Physics and astrophysics. The programme provides students with the opportunity to conduct research in various areas of Physics. Master of Science in Chemistry If you enjoy studying chemical reactions, then a Master's degree in Chemistry could be a good choice. This programme covers topics such as analytical Chemistry biochemistry, organic Chemistry inorganic Chemistry and physical Chemistry. It also provides opportunities for research in various areas of Chemistry. Master of Science in Applied Mathematics: A Master's degree in Applied Mathematics can be an excellent option for students who have a strong background in mathematics. This programme covers topics such as numerical analysis, optimization, Probability theory, Differential Equations and mathematical modeling. It also provides opportunities for research in various areas of applied mathematics. Master of Science in Data Science: If you are interested in applying mathematical and statistical methods to extract insights from large datasets, a Master's degree in Data Science could be a good option. This programme covers topics such as data mining, machine learning, statistical modeling, and big data analytics. It also provides opportunities for research in various areas of data Science. Master of Science in Engineering: If you are interested in applying your knowledge of Physics Chemistry and mathematics to real-world problems, a Master's degree in Engineering could be a good choice. This programme covers topics such as mechanical engineering, electrical engineering, chemical engineering, and civil engineering. It also provides opportunities for research in various areas of engineering. Ultimately, the best course for you to pursue depends on your individual interests, career goals, and academic background. It is important to research the different options available and consult with academic advisors or counselors to help you make an informed decision.