Analysis:
Elementary set theory, finite, countable and uncountable sets, Real number system as a complete ordered field, Archimedean property, supremum, infimum. Sequences and series, convergence, limsup, liminf. Boizano Weierstrass theorem, Heine Bore! theorem. Continuity, uniform continuity, differentiability, mean value theorem. Sequences and series of functions, uniform convergence. Riemann sums and Riemann integral, Improper Integrals. Monotonic functions, types of discontinuity, functions of bounded variation, Lebesgue measure, Lebesgue integral. Functions of several variables, directional derivative, partial derivative, derivative as a linear transfonnation. Metric spaces, compactness, connectedness. Normed Linear Spaces. Spaces of Continuous functions as examples.

Linear Algebra:
Vector spaces, subspaces, linear dependence, basis, dimension, algebra of linear transformations. Algebra of matrices, rank and determinant of matrices, linear equations. Eigenvalues and eigenvectors, Cayley-Hamilton theorem. Matrix representation of linear transformations. Change of basis, canonical forms, diagonal forms, triangular forms, Jordan forms. Inner product spaces, orthonormal basis. Quadratic forms, reduction and classification of quadratic forms.

Complex Analysis:
Algebra of complex numbers, the complex plane, polynomials, Power series, transcendental functions such as exponential, trigonometric and hyperbolic functions. Analytic functions, Cauchy-Riemann equations. Contour integral, Cauchy’ s theorem, Cauchy’ s integral formula, Liouville’ s theorem, Maximum modulus principle, Schwarz lemma, Open mapping theorem. Taylor series, Laurent series, calculus of residues. Conformal mappings, Mobius transformations.

Algebra:
Permutations, combinations, pigeon-hole principle, inclusion-exclusion principle, derangements. Fundamental theorem of arithmetic, divisibility in Z, congruences, Chinese Remainder Theorem, Euler’s ? function, primitive roots. Groups, subgroups, normal subgroups, quotient groups, homomorphisms, cyclic groups, permutation groups, Cayley’s theorem, class equations, Sylow theorems. Rings, ideals, prime and maximal ideals, quotient rings,
unique factorization domain, principal ideal domain, Euclidean domain. Polynomial rings and irreducibility criteria. Fields, finite fields, field extensions.

Ordinary Differential Equations (ODEs):
Existence and Uniqueness of solutions of initial value problems for first order ordinary differential equations, singular solutions of first order ODEs, system of first order ODEs. General theory of homogenous and non-homogeneous linear ODEs, variation of parameters, Sturm-Liouville boundary value problem, Green’s function.

Partial Differential Equations (PDEs):
Lagrange and Charpit methods for solving first order PDEs, Cauchy problem for first order PDEs. Classification o f second order PDEs, General solution of higher order PDEs with constant coefficients, Method of separation of variables for Laplace, Heat and Wave equations.

Numerical Analysis:
Numerical solutions of algebraic equations, Method of iteration and Newton-Raphson method, Rate of convergence, Solution of systems of linear algebraic equations using Gauss elimination and Gauss-Seidel methods, Finite differences, Lagrange, Hermite and spline interpolation, Numerical differentiation and integration, Numerical solutions of ODEs using Picard, Euler, modified Euler and Runge-Kutta methods.

Calculus of Variations:
Variation of a functional, Euler-Lagrange equation, Necessary and sufficient conditions for extrema. Variational methods for boundary value problems in ordinary and partial differential equations.

Linear Integral Equations:
Linear integral equation of the first and second kind of Fredholm and Volterra type, Solutions with separable kernels. Characteristic numbers and eigenfunctions, resolvent kernel.

Classical Mechanics:
Generalized coordinates, Lagrange’s equations, Hamilton’s canonical equations, Hamilton’s principle and principle of least action, Two-dimensional motion of rigid bodies, Euler’s dynamical equations for the motion of a rigid body about an axis, theory of small oscillations.

Descriptive statistics, exploratory data analysis:
Sample space, discrete probability, independent evcnts, Bayes theorem. Random variables and distribution functions (univariate and multivariate); expectation and moments. Independent random variables, marginal and conditional If I keep the weaknesses of others in my mind, they soon become a part of me

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SCHOLARSHIP

Rank in Entrance-Cum-Scholarship Scholarship Examination
1 100% Tuition Fee Waiver 2 70% Tuition Fee Waiver 3 50% Tuition Fee Waiver 4 35% Tuition Fee Waiver 5 20% Tuition Fee Waiver
Note: In the case when the students do not score the minimum eligibility marks (30%), then the scholarship percentage will be altered accordingly.

TERMS & CONDITIONS
The final discretion of scholarship award will remain with DIPS as the decision will be final and binding on the candidate.
One student can not carry his rank for next or any further batch.
The scholarship award can be withdrawn by the DIPS management if any in disciplinary behavior found against the student.
The registered office of DIPS Pvt. Ltd. is at New Delhi. In case of any dispute, students/parents are subject to the exclusive jurisdiction of appropriate courts in Delhi/New Delhi only.

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ADMISSION PROCEDURES


You can take admission in different batches directly at the DIPS office. But admission in the ENB and EGB is on entrance cum-scholarship test basis. In this test DIPS provides fabulous scholarship to the top 5 student also, for the test students must have to register himself.
Test Date : 10th Jan & 10th July Every Year.
Test Schedule : 11:30 AM – 01:00 PM.

Test Pattern & Syllabi : Test paper consists 50 questions from different sections of mathematics. Each question carries three marks and there is a suitable negative marking for each wrong answer. Syllabi of test are very similar to CSIR-NET syllabi.

How to Register : Fill in your complete details in the prescribed form, which is given to you along with this booklet or take it from DIPS office along with the photocopy of M.Sc mark sheet (if available) and a recent photograph.

Last Date of Registration : 9th Jan for the test on 10th Jan 9th July for the test on 10th July
Fee for test : There is no fee for the test.

Result Declaration : 11th Jan and 11th July (result will be announced at 6:00 PM)

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6. DIPS–India’s best team
Mathematics

(i) Mr. Rajendra Dubey (Director)
An IITian who deals in pure mathematics having a long experience of more than 28 batches and have produced so far more than 250 JRF/ NET. His name is a milestone in the field of training in Mathematics.

(ii) Prof. S. C. Gupta (Retd. from Hindu College, DU)
One of the most famous author in the field of statistics. He co-authored the bible in statistics named "Fundamentals of Mathematical Statistics" with Dr. Kapoor.

(iii)Mr. Arbind Kumar (NET Qualified)
A young, dynamic and one of the most popular faculty in OR and appilied mathematics and a faculty who is always surrounded by his students.

(iv) Mr. Abhishek Agrawal (JRF Qualified)
The most energetic and young faculty. His enovative and alligant proves and tricks are very popular among the students.

(v) Mr. Narayan Singh (JRF Qualified)
General Sciences : DIPS Academy calls experts in their own field for even in general science section.
   (i) Gaurav Rajput (M.Tech)
   (ii) Mr. Pradeep Singh (JRF Qualified)
   (iii) Dr. Devesh (JRF Qualified)
   (iv) Mr. Prakash Pandey
   (v) Mr. P. V. Jain

THE RESULTS
Why Students Consider DIPS the Best in Higher Mathematics Training?

THE VALUE SYSTEM
DIPS value system revolves around truth, transparency & commitment. Whatever we think, we say & whatever we say, we do. We present to you what we actually are.

THE QUALITY
We never compromise on quality. Our penchants & pursuit of quality is evident in our every activity in all our action, at all time everywhere. Best Faculty: We are the only institute that follows a very strong, systematic & objective selection and training process before a teachers becomes a DIPS faculty. We provide the best faculty panel in India for mathematics as well as general science.

Every Growing Pool of Questions:

DIPS has a unique and India’s elite team of experts which is continously engaged in fabricating and compiling new questions as per the requirement. The construction of the problems are classified on various issues as question on definition or on theorem or application of theorem. DIPS has the best question bank in India covering the objective question on application part of pure mathematics as well as theoretical questions on applied mathematics. This is the rarest combination which dipsite avail. Regular Doubt Sessions: DIPS provides the regular doubt sessions for students after completion of each topics. We provide two or three extra classes on each topics for doubts only. More than this, the student can ask their personal doubts to the concerning faculty at any time.

Student Self Assessment Program:

DIPS organise weekly test as well as test series for its students. These tests help students in time management & accuracy as well as in self improvement. According to the performance of the students DIPS provides suggestions for their further improvements.
* Our test series is ever best in India and it is conducted for other students also. Each test of our test series based on previous exams. So it is very useful for the aspirants. Description of Test Series Course Month No. of Test NET June & Dec. 4 IAS (mains) September 10 IAS (Prelims) March-April 10 G.S. (IAS-Pre.) March –April 5 MCA Jan 5

RESEARCH & DEVELOPMENT

Our research and development team work round the clock to ensure that our teaching methodology, study material and course structure etc. is updated. The committed teams keeps a knee eye on the latest development and changes in the IAS/NET/GATE or other higher level exams and swiftly incorporates them in our course curriculum.

DIPS is the India’s one of the largest result producer institute in the field of higher mathematics. Its our glory that not a single university of India can produce more results than DIPS in the higher level examination of mathematics.

CSIR-NET/JRF: DIPS has produced more than 350 JRF/ NET.
IAS/PCS:DIPS has produced more than 50 selections in IAS and different state PCS exams.
GATE: More than 250 students of DIPS has qualified the GATE and each and every year there is 15 to 20 students in Top 100.

JNU:In this reputed institute, DIPS has a notable presence in MCA/M.Tech. More than 10 selections are from DIPS Academy (including two toppers).
Other Exams:Apart from that in all other entrance exams for ISI, TIFR, DRDO, NBHM, JEST, MCA the "Dipsites" achieved good results.

Now, it is our proud that in each esteemed institute like IIT, JNU, ISI, IISc, IMSc. etc. the "Dipsites" has notable presence in the field of research.

DIPS PERFORMANCE INDICES IN 2008-2009 IAS-07
: 7 Selections IAS-08
: 2 Selections CSIR-NET (June 08)
: 36* Selections GATE-08
: 41* Selections (18 in Top 100) CSIR-NET (Dec. 08)
: 32* Selections GATE-09
: 46* Selection (15 in Top 100)

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1. DIPS Classroom Program Cell

Exclusive NET Batch (ENB): These commence on 15th of January & 10th February for June NET and 15th July, 28th July & 10th August for December NET. These batches are sharply focused on CSIR-JRF/NET. Admission in the 1st batch for both June NET and Dec. NET is on entrance exam basis.
Exclusive GATE Batch (EGB): The exclusive GATE batch commence on 15th July, first week of August & September every year and ends just five day before the day of examiniation. In this batch we try to develop among our students, the skill of solving objective type questions and provide shortcut tricks. Admission in the 1st batch of GATE is also on entrance exam basis.
Quick Review GATE Batch (QRGB): This is especially designed for GATE. It is fast track 100 hours Batch and runs in the month of January only. Commencing on 5th of January.
IAS-Main Batches: Batches for IAS mains run throughout
the year and commence on 10th of every month. IAS-Pre. Batches: These batches starts in the Mid of January & 1st week of February every year.
IAS-Foundation Batches: These batches are designed for fresh graduates or early beginner of UPSC exams and covers everything of the syllabus starting from scratch. These batches commence in the month of June & January every year.
MCA / JAM Batch: These batches starts in the 25th of July
and 1st of every subsequent months upto October. JNU M.Tech Batch: This Batch is designed only for JNU M.Tech entrance exams and commencing on 10th February, every year.
DLP /Part Time Program for NET :
DLP is a distance learning program which is recently launched to cater the working aspirants. In this program there is weekend (Saturday & sunday) class, doubt session & test for enhancement & betterment of the students. As well as study material and assignment of each topic in which more than thousand of question will be provided.

2. DIPS Counseling and Information Cell:
This cell provides all the information regarding the various
higher level exams related to MATHEMATICS and provide a platform, where DIPS students can discuss any of their issues regarding their preparation and provides various books and prototype question papers.

Also Read About Dips: http://dips-academy.blogspot.in/p/about-us.html

3. DIPS Correspondence Program Cell:
There are many people preparing for exams but due to their own reasons they are unable to join the regular DIPS Batches. They can also avail the benefits of our high quality study material designed by experience Mathemati-cians of DIPS group. Study material package consists of more than thousand questions for Paper I whereas selective topics for Paper II covering atmost 25 popular questions and guidlines for preparation and choosing topics.

4. DIPS Library:
DIPS library has a versatile collection of books on pure as well as on applied Mathematics. These books help students enhance their knowledge beyond their regular books. It has also some classic collection on literature, personality development and General studies due to keen interest of Director Mr. Rajendra Dubey in these areas.

5. Fee Structure:
(i) ENB : 20,225/
(ii) EGB : 20,225/
(iii) ENB & EGB (Combined) : 22,475/
(iv) IAS (Pre-Cum-Mains) : 28,100/
(v) IAS (Pre.) : 11,235/
(vi) IAS (Mains) : 22,475/
(vii) MCA/JAM : 19,100/
(viii) DLP (NET) : 11,235/
(ix) Crosspondence Course (NET) : 7,000/
Mode of Payment is through cash / cheque /demand draft in favour of Dubey’s Information Pool & Solution Pvt. Ltd. payable at New Delhi.

(To give happiness to others is a great act of charity )

Resource:- net-mathematics