Mathematics (Entrance)

Class 11-12 mathematics for JEE, NDA and other entrance exams.

12 महीनेअवधि 15Chapters56टॉपिक

अभी पूछताछ करें

सिलेबस · पाठ्यक्रम

Download PDF

01Sets, Relations & Functions 4 टॉपिक

Sets and subsets
Relations and their types
Functions - domain and range
Composition and inverse of functions

02Complex Numbers & Quadratic Equations 4 टॉपिक

Algebra of complex numbers
Modulus, argument and polar form
Roots of quadratic equations
Nature of roots and relation with coefficients

03Matrices & Determinants 4 टॉपिक

Types and algebra of matrices
Determinants and properties
Adjoint and inverse
Solution of linear equations

04Permutations & Combinations 4 टॉपिक

Fundamental principle of counting
Permutations with repetition
Combinations
Arrangements with identical objects

05Binomial Theorem 3 टॉपिक

Binomial expansion
General and middle terms
Coefficients and constant term

06Sequences & Series 4 टॉपिक

Arithmetic progression
Geometric progression
AM, GM and their relation
Sum of special series

07Trigonometry 4 टॉपिक

Trigonometric ratios and identities
Trigonometric equations
Inverse trigonometric functions
Maximum and minimum values

08Coordinate Geometry 4 टॉपिक

Straight lines
Circles
Parabola
Ellipse and hyperbola

09Limits & Continuity 3 टॉपिक

Standard limits
Indeterminate forms
Continuity and differentiability

10Differentiation & Applications 4 टॉपिक

Rules of differentiation and chain rule
Rate of change and tangents
Increasing and decreasing functions
Maxima and minima

11Integrals 4 टॉपिक

Standard integrals
Substitution and by parts
Definite integrals and properties
Area under curves

12Differential Equations 3 टॉपिक

Order and degree
Variable separable
Linear differential equations

13Vectors & 3D Geometry 4 टॉपिक

Vector algebra
Dot and cross products
Lines and planes in space
Distance of a point from a plane

14Probability 4 टॉपिक

Classical probability
Addition and multiplication rules
Conditional probability and Bayes' theorem
Binomial distribution

15Statistics 3 टॉपिक

Mean, median and mode
Variance and standard deviation
Measures of dispersion

परिचय

आप यह कर पाएँगे

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

यह किसके लिए है

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

आपको क्या चाहिए

Class 10 mathematics; studying in or passed Class 11-12 with mathematics
NCERT Class 11 and 12 mathematics books

सवाल

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.