Static subject: Whole syllabus of Mathematics is static. So, is no need to constantly update your knowledge, just need to revise.
High scoring: This is one of the rarest Optional Subjects, scoring 330+ Marks is highly possible.
Reference Books: For every Chapter and every Topic of the Syllabus, Reference Books are available and all the Problems in those books are solved.
Directly Picked Questions: Almost all the questions in the Exam are directly picked from the regular reference books.
Perfection through Practice: as the syllabus is Static and Reference books are available for all the Topics, multiple revisions will make preparation near Perfect.
Certainty: Even one could not get good marks in the first attempt, can increase score in a subsequent attempt.
Good Impression: Creates a good impression at the interview board members, for opting a science optional and it shows adversities are not going to hamper the Duties and Motto.
Repetition of Questions: Previous Year’s questions are also repeated many times.
Easy paper: The difficulty level of Mathematics paper is quite moderate and almost all questions are directly picked from the standard textbooks.
|1||MODERN ALGEBRA||1. GROUP THEORY|
|2. GROUP THEORY APPLICATION|
|4. CYCLIC SUBGROUPS|
|5. PERMUTATION GROUPS|
|7. SUB GROUPS|
|8. NORMAL THEOREMS|
|10. GROUP THEORY WITH DIRECT PRODUCTS|
|11. RING THEORY|
|12. CHARACTERISTICS OF RINGS|
|14. IDEALS AND PRINCIPLE IDEALS|
|15. PRIME IDEALS AND MAXIMAL IDEALS|
|2||REAL ANALYSIS||1. LIMITS AND CONTINUITY|
|2. UNIFORM CONTINUITY|
|4. MEAN VALUE THEOREM AND APPLICATION|
|5. MACLARAINS THEOREM|
|6. RIEMANAN INTEGRAL|
|7. POINTWISE CONVERGENCE, UNIFORM CONVERGENCE|
|8. SEQUENCE OF FUNCTIONS, SERIES OF FUNCTIONS,|
|9. FUNCTIONS OF SEVERAL VARIABLES|
|3||COMPLEX ANALYSIS||1. COMPLEX NUMBERS - LIMIT, CONTINUITY &
DIFFERENTIATION; ANALYTICAL FORM
|2. HARMONIC FUNCTIONS, MILNE-THOMPSON METHOD,
|3. CAUCHY INTEGRAL FORMULA, CIF FOR HIGHER DERIVATIVES,
CAUCHY IN EQUALITIES.
|4. LIOUILLES THEOREM; TAYLORS & LAURENTIAN THEOREM;
SINGULARITIES, CAUCHY REIMANN THEOREM
|5. CANTON INTEGRATION|
|6. MISCELLANEOUS - ARGUMENT PRINCIPLE, ROUCHE'S,
LITTLE PICCARD THEOREMS, POWER SERIES
|7. MISCELLANEOUS - CONFORMAL MAPPING AND
|4||LINEAR PROGRAMMING PROBLEMS (LPP)||1. FORMULATIONS OF LPP, STANDARD FORM|
|2. SIMPLEX METHOD, BIG - M METHOD|
|3. 2 - PHASE METHOD, TRANSPORTATION PROBLEMS|
|4. ASSIGNMENT PROBLEMS|
|5. PRINCIPLES OF DUALITY|
subject : Mathematics
experience : 15 Years