WBJEE Mathematics Syllabus: WBJEE Syllabus includes three sections – Physics, Chemistry, and Mathematics. While the syllabus will give candidates an idea about the important topics, the exam pattern will help them to understand the type of questions and marking scheme in the WBJEE. For more details about WBJEE Mathematics Syllabus, keep reading this article.
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WBJEE Mathematics Syllabus
It is important for the candidates to know the syllabus of any entrance exam so that they can prepare well for the exam. It requires a thorough understanding of the Syllabus for an effective preparation strategy. Hence, all the engineering students before appearing for the WBJEE 2022 exam should analyze the WBJEE Mathematics Syllabus and the exam pattern before starting their preparation. It will help the candidates to know the important subjects and topics. All the questions in the exam will be based on the WBJEE syllabus defined.
Important Link | |
All Details of WBJEE | Click Here |
Physics Syllabus | Click Here |
Chemistry Syllabus | Click Here |
Previous Year Question Papers | Click Here |
Eligibility Criteria | Click Here |
Exam Pattern | Click Here |
Counseling Details | Click Here |
Official Website | wbjeeb.nic.in |
Algebra(WBJEE Mathematics Syllabus)
A.P., G.P., H.P.: Definitions of A. P. and G.P.; General term; Summation of first n-terms of series ∑n, ∑n2, ∑n3;
Arithmetic/Geometric series, A.M., G.M., and their relation; Infinite G.P. series and its sum.
Logarithms: Definition; General properties; Change of base.
Complex Numbers: Definition in terms of ordered pair of real numbers and properties of complex numbers; Complex conjugate; Triangle inequality; the amplitude of complex numbers and its properties; Square root of complex numbers; Cube roots of unity; De Moivre’s theorem (statement only) and its elementary applications. The solution of the quadratic equation in the complex number system.
Polynomial equation: nth degree equation has exactly n roots (statement only); Quadratic Equations: Quadratic equations with real coefficients; Relations between roots and coefficients; Nature of roots; Formation of a quadratic equation, sign, and magnitude of the quadratic expression ax2+bx+c (where a, b, c are rational numbers and a ≠ 0).
Permutation and combination
Permutation of n different things taken r at a time (r ≤ n). with repetitions (circular permutation excluded). Combinations of n different things taken r at a time (r ≤ n). The combination of n things is not all different. Basic properties. Problems involving both permutations and combinations.
Principle of mathematical induction
Statement of the principle, proof by induction for the sum of squares, a sum of cubes of first n natural numbers, divisibility properties like 22n — 1 is divisible by 3 (n ≥ 1), 7 divides 32n+1+2n+2 (n ≥ 1).
Binomial theorem (positive integral index): Statement of the theorem, general term, middle term, equidistant
terms, properties of binomial coefficients.
Matrices
Concepts of m x n (m ≤ 3, n ≤ 3) real matrices, operations of addition, scalar multiplication, and multiplication of matrices. Transpose of a matrix. The determinant of a square matrix. Properties of determinants (statement only). The minor, cofactor, and adjoint of a matrix. Nonsingular matrix. The inverse of a matrix. Finding the area of a triangle. Solutions of system of linear equations. (Not more than 3 variables).WBJEE Mathematics Syllabus.
Sets, Relations, and Mappings
The idea of sets, subsets, power set, complement, union, intersection and difference of sets, Venn diagram, De Morgan’s Laws, Inclusion / Exclusion formula for two or three finite sets, Cartesian product of sets.
Relation and its properties. Equivalence relation — definition and elementary examples, mappings, range and domain, injective, surjective, and bijective mappings, the composition of mappings, the inverse of a mapping.
Statistics and Probability
The measure of dispersion, mean, variance, and standard deviation, frequency distribution. Addition and multiplication rules of probability, conditional probability and Bayes’ Theorem, independence of events, repeated independent trails, and Binomial distribution. WBJEE Mathematics Syllabus.
Trigonometry
Trigonometric functions, addition and subtraction formulae, formulae involving multiple and submultiple angles, general solution of trigonometric equations. Properties of triangles, inverse trigonometric functions, and their properties.
Coordinate geometry of two dimensions
Distance formula, section formula, area of a triangle, condition of collinearity of three points in a plane. Polar
coordinates, the transformation from Cartesian to polar coordinates and vice versa. Parallel transformation of axes.
Concept of locus, locus problems involving all geometrical configurations, Slope of a line. Equation of lines in different forms, angle between two lines. Condition of perpendicularity and parallelism of two lines. The distance of a point from a line. Distance between two parallel lines. Lines through the point of intersection of two lines. Angle bisector.WBJEE Mathematics Syllabus.
Equation of a circle with a given center and radius. A condition that a general equation of second degree in x, y may represent a circle. Equation of a circle in terms of endpoints of a diameter. Equation of tangent, normal, and chord. Parametric equation of a circle. The intersection of a line with a circle. Equation of common chord of two intersecting circles.
Definition of conic section, Directrix, Focus and Eccentricity, classification based on eccentricity. Equations of Parabola, Ellipse, and Hyperbola in standard form, their foci, directrices, eccentricities, and parametric equations.
Coordinate geometry of three dimensions
Direction cosines and direction ratios, the distance between two points and section formula, equation of a straight line, equation of a plane, a distance of a point from a plane.
Calculus
Differential calculus: Functions, domain and range set of functions, the composition of two functions and the inverse of a function, limit, continuity, derivative, chain rule, and derivative of functions in various forms. Concept of differential.
Rolle’s Theorem and Lagrange’s Mean Value theorem (statement only). Their geometric interpretation and elementary application. L’Hospital’s rule (statement only) and applications. Second-order derivative.
Integral calculus: Integration as a reverse process of differentiation, indefinite integral of standard functions.
Integration by parts. Integration by substitution and partial fraction.
Definite integral as a limit of a sum with equal subdivisions. The fundamental theorem of integral calculus and its
applications. Properties of definite integrals.
Differential Equations: Formation of ordinary differential equations, solution of homogeneous differential equations, separation of variables method, linear first-order differential equations.
Application of Calculus: Tangents and normals, conditions of tangency. Determination of monotonicity, maxima, and minima. Differential coefficient as a measure of rate. Motion in a straight line with constant acceleration. Geometric interpretation of definite integral as area, calculation of area bounded by elementary curves, and Straight lines. The area of the region is included between two elementary curves.
Vectors: Addition of vectors, scalar multiplication, dot and cross products, scalar triple product.