Mathematics (Entrance)

Entrance Exams · Subject-wise — Class 11-12 mathematics for JEE, NDA and other entrance exams.

12 MonthsDuration 1Subject 15Chapters OnlineTests & result

Your roadmap · आपका रोडमैप

  1. 1
    Admission & first meetingप्रवेश और पहली मुलाकात

    Enquire at your nearest NDSS centre, meet the teacher, fix the batch time and get your study material.

  2. 2
    Phase 1 — basicsपहला चरण — बुनियाद

    Concepts of every subject from the start.

    Sets, Relations & FunctionsComplex Numbers & Quadratic EquationsMatrices & DeterminantsPermutations & CombinationsBinomial TheoremSequences & SeriesTrigonometryCoordinate Geometry
  3. 3
    Phase 2 — advanced topicsदूसरा चरण — उन्नत विषय

    The remaining topics at exam level.

    Limits & ContinuityDifferentiation & ApplicationsIntegralsDifferential EquationsVectors & 3D GeometryProbabilityStatistics
  4. 4
    Phase 3 — practice & previous papersतीसरा चरण — अभ्यास

    Topic tests, previous-year questions and speed practice.

  5. 5
    Phase 4 — mock testsचौथा चरण — मॉक टेस्ट

    Full-length mock tests in the real exam pattern, with analysis.

  6. 6
    Mathematics (Entrance) examपरीक्षा

    Exam-day plan and document checklist.

  7. 7
    Online tests & resultऑनलाइन टेस्ट और रिज़ल्ट

    Take the tests online; your marks and result show in your student login and at the centre.

Syllabus · पाठ्यक्रम

1 subject · 15 chapters · 56 topics

01Sets, Relations & Functions 4 topics
  1. Sets and subsets
  2. Relations and their types
  3. Functions - domain and range
  4. Composition and inverse of functions
02Complex Numbers & Quadratic Equations 4 topics
  1. Algebra of complex numbers
  2. Modulus, argument and polar form
  3. Roots of quadratic equations
  4. Nature of roots and relation with coefficients
03Matrices & Determinants 4 topics
  1. Types and algebra of matrices
  2. Determinants and properties
  3. Adjoint and inverse
  4. Solution of linear equations
04Permutations & Combinations 4 topics
  1. Fundamental principle of counting
  2. Permutations with repetition
  3. Combinations
  4. Arrangements with identical objects
05Binomial Theorem 3 topics
  1. Binomial expansion
  2. General and middle terms
  3. Coefficients and constant term
06Sequences & Series 4 topics
  1. Arithmetic progression
  2. Geometric progression
  3. AM, GM and their relation
  4. Sum of special series
07Trigonometry 4 topics
  1. Trigonometric ratios and identities
  2. Trigonometric equations
  3. Inverse trigonometric functions
  4. Maximum and minimum values
08Coordinate Geometry 4 topics
  1. Straight lines
  2. Circles
  3. Parabola
  4. Ellipse and hyperbola
09Limits & Continuity 3 topics
  1. Standard limits
  2. Indeterminate forms
  3. Continuity and differentiability
10Differentiation & Applications 4 topics
  1. Rules of differentiation and chain rule
  2. Rate of change and tangents
  3. Increasing and decreasing functions
  4. Maxima and minima
11Integrals 4 topics
  1. Standard integrals
  2. Substitution and by parts
  3. Definite integrals and properties
  4. Area under curves
12Differential Equations 3 topics
  1. Order and degree
  2. Variable separable
  3. Linear differential equations
13Vectors & 3D Geometry 4 topics
  1. Vector algebra
  2. Dot and cross products
  3. Lines and planes in space
  4. Distance of a point from a plane
14Probability 4 topics
  1. Classical probability
  2. Addition and multiplication rules
  3. Conditional probability and Bayes' theorem
  4. Binomial distribution
15Statistics 3 topics
  1. Mean, median and mode
  2. Variance and standard deviation
  3. Measures of dispersion

About this course

You will be able to

  • Solve algebra questions on sets, functions, complex numbers, quadratic equations, matrices and determinants
  • Apply permutations, combinations, binomial theorem and sequences-series formulas at JEE Main / NDA level
  • Solve trigonometry, straight line, circle and conic section problems
  • Evaluate limits, derivatives and integrals and apply them to maxima-minima and area problems
  • Form and solve simple differential equations and work with vectors and 3D geometry
  • Solve probability and statistics questions accurately within time limits

Who it is for

  • Class 11-12 students preparing for JEE Main and other engineering entrance exams
  • NDA and Agniveer Vayu aspirants (Mathematics paper / Science group)
  • UP Polytechnic (JEECUP) lateral entry and other entrance aspirants who need Class 11-12 maths

What you need

  • Class 10 mathematics; studying in or passed Class 11-12 with mathematics
  • NCERT Class 11 and 12 mathematics books
Online tests & result Practice and unit tests online; marks and result show in your student login and at the centre. Student login →

Questions

Is NCERT enough for JEE Main maths?

NCERT is the base. JEE Main needs extra practice with tougher problems, which this course provides chapter-wise.

Is this useful for NDA mathematics?

Yes. NDA maths follows Class 11-12 topics; we include NDA-pattern questions and speed practice.

How long is the course?

About 12 months covering the full Class 11-12 syllabus with tests after every chapter and full mock tests.

Can a Class 11 student join?

Yes. The course follows the Class 11 to 12 order and is ideal for students starting Class 11.

Download the syllabus (PDF)

Tell us who you are — your copy is made with your name, and our counsellor can help you choose the right course and centre.

Want to join right away? Enquire now — our centre will call you.