Updated By Ritoprasad Kundu on 22 Jul, 2024 16:13
Predict your Percentile based on your VTUEEE performance
Predict NowVTUEEE 2025 Maths Syllabus will be released by Vel Tech University on its official website. The maths syllabus of VTUEEE 2025 consists of important chapters like Sets, Relations and Functions, Matrices and Determinants, Mathematical Induction, Coordinate Geometry, Integral Calculus among others. Candidates should devise their preparation strategy for the exam keeping the syllabus and exam pattern in their mind. The detailed VTUEEE Maths Syllabus 2025 has been mentioned here on this page.
Students planning to take the VTUEEE 2025 exam should review the comprehensive maths syllabus. Students who are interested can view the list of topics covered in the VTUEEE 2025 Maths syllabus here.
Chapters | Topics Covered |
---|---|
Sets, Relations and Functions | Sets and their representation; Union, intersection and complement of sets and their algebraic properties; Power set; Relation, Types of relations, equivalence relations, functions;. one-one, into and onto functions, composition of functions |
Matrices and Determinants | Matrices, algebra of matrices, types of matrices, determinants and matrices of order two and three. Properties of determinants, evaluation of determinants, area of triangles using determinants. Adjoint and evaluation of inverse of a square matrix using determinants and elementary transformations, Test of consistency and solution of simultaneous linear equations in two or three variables using determinants and matrices. |
Mathematical Induction | Principle of Mathematical Induction and its simple applications |
Complex Numbers and Quadratic Equations | Complex numbers as ordered pairs of reals, Representation of complex numbers in the form a+ib and their representation in a plane, Argand diagram, algebra of complex numbers, modulus and argument (or amplitude) of a complex number, square root of a complex number, triangle inequality, Quadratic equations in real and complex number system and their solutions. Relation between roots and coefficients, nature of roots, formation of quadratic equations with given roots. |
Permutations and Combinations | Fundamental principle of counting, permutation as an arrangement and combination as selection, Meaning of P (n,r) and C (n,r), simple applications |
Binomial Theorem and its Simple Applications | Binomial theorem for a positive integral index, general term and middle term, properties of Binomial coefficients and simple applications |
Limit, Continuity and Differentiability | Real – valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic and exponential functions, inverse functions. Graphs of simple functions. Limits, continuity and differentiability. Differentiation of the sum, difference, product and quotient of two functions. Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions; derivatives of order upto two. Rolle’s and Lagrange’s Mean Value Theorems. Applications of derivatives: Rate of change of quantities, monotonic – increasing and decreasing functions, Maxima and minima of functions of one variable, tangents and normals |
Sequences and Series | Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers. Relation between A.M. and G.M. Sum upto n terms of special series: S n, S n2, Sn3. Arithmetico – Geometric progression |
Differential Equations | Ordinary differential equations, their order and degree. Formation of differential equations. Solution of differential equations by the method of separation of variables, solution of homogeneous and linear differential equations of the type: dy/dx+p(x)y=q(x) |
Three Dimensional Geometry | Coordinates of a point in space, distance between two points, section formula, direction ratios and direction cosines, angle between two intersecting lines. Skew lines, the shortest distance between them and its equation. Equations of a line and a plane in different forms, intersection of a line and a plane, coplanar lines. |
Statistics and Probability |
|
Vector Algebra | Vectors and scalars, addition of vectors, components of a vector in two dimensions and three dimensional space, scalar and vector products, scalar and vector triple product |
Coordinate Geometry | Cartesian system of rectangular coordinates 10 in a plane, distance formula, section formula, locus and its equation, translation of axes, slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate axes.
Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines, distance of a point from a line, equations of internal and external bisectors of angles between two lines, coordinates of centroid, orthocentre and circumcentre of a triangle, equation of family of lines passing through the point of intersection of two lines
Standard form of equation of a circle, general form of the equation of a circle, its radius and centre, equation of a circle when the end points of a diameter are given, points of intersection of a line and a circle with the centre at the origin and condition for a line to be tangent to a circle, equation of the tangent. Sections of cones, equations of conic sections (parabola, ellipse and hyperbola) in standard forms, condition for y = mx + c to be a tangent and point (s) of tangency. |
Mathematical Reasoning | Statements, logical operations and, or, implies, implied by, if and only if. Understanding of tautology, contradiction, converse and contrapositive |
Trigonometry | Trigonometric identities and equations. Trigonometric functions. Inverse trigonometric functions and their properties. Heights and Distances. |
Candidates can check the list of Mathematics books for VTUEEE to complete the VTUEEE Maths Syllabus 2025 from the below table.
Name of the Book | Name of the Author |
---|---|
Calculus and Analytic Geometry | Thomas and Finney |
Problems Plus in IIT Mathematics | A Das Gupta |
Coordinate Geometry | S.L. Loney |
Differential and Integral Calculus | N. Piskunov |
Trigonometry | S L Loney |
Higher Algebra | Hall and Knight |
Want to know more about VTUEEE
Typical response between 24-48 hours
Get personalized response
Free of Cost
Access to community