Maths Spl

The curriculum of B.Sc (Hons) in Mathematics involve following subjects in the respective semesters:
Sem-I
Calculus
Co-ordinate Geometry
Algebra-I
Sem-II
Mechanics-I
Differential equations-I
Algebra-II
Sem-III
Mechanics-II
Differential equations-II
Analysis-I
Sem-IV
Vector analysis
Differential equations-III
Analysis-II
Sem-V
Numerical methods
Numerical method practical using C
Algebra-III
Analysis-III
Sem-VI
Probability theory
Linear programming & optimisation
Algebra-IV
Analysis-IV

If you just now cleared your higher secondary education level, you must prepare yourself for JEE Mains and Advanced exams, by well preparing and lot of mathematical skills you pursue your IIT seat.
If you finished your Bachelor's degree, you must prefer GATE exams.

Yes, you will easily get admission in this college.

RS Agarwal and Arihant mathematics books.

You can pursue M.Sc Maths. For this, you can appear in JEST JNUEE IIT JAM any of these exams.

No, the college doesn't have M.Sc in statistics course.

Maths honors have many papers like, mathematical, physics for which you can refer mathematical physics by HK Das integral and differential calculus. There is book by Shanti Narayan, linear algebra and abstract algebra you can refer PN Arora and ML Khanna. These are good books to refer.

KC Sinha
RS Agrawal.

Tata Mc Graw Hill is a good book. Apart from that you can also refer to Algebra by SK Goal and HALL and Knight for Higher algebra.