Contents
- 1 CUCET Mathematics Syllabus
- 1.1 Unit 1 : Sets, Relations And Functions:
- 1.2 Unit 2 : Complex Numbers And Quadratic Equations:
- 1.3 Unit 3 : Matrices And Determinants:
- 1.4 Unit 4 : Binomial Theorem And Its Simple Applications:
- 1.5 Unit 5 : Sequences And Series:
- 1.6 Unit 6 : Limit, Continuity And Differentiability:
- 1.7 Unit 7 : Integral Calculus:
- 1.8 Unit 8: Differential Equations:
- 1.9 Unit 9: Coordinate Geometry:
- 1.10 Unit 10: Three Dimensional Geometry:
- 1.11 Unit 11: Vector Algebra:
- 1.12 Unit 12: Statistics and Probability:
- 1.13 Unit 13: Trigonometry:
Chandigarh University has decided to conduct an entrance cum scholarship test named as Chandigarh University Common Entrance Test (CUCET) for admission to various programs so as to provide an opportunity to bright and inquisitive young minds from across the country to study in most challenging and diverse academic environment.
CUCET Syllabus has been released by the authorities of Chandigarh University. Candidates can check the syllabus of CUCET 2023 to know the subjects, units and topics that have to be studied for the upcoming entrance examination. The subject-wise CUCET syllabus will allow the candidates to become familiar with the topics that they have to prepare to excel in the examination. Read to know more about CUCET Syllabus 2023.
CUCET Mathematics Syllabus
Unit 1 : 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.
Unit 2 : 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.
Unit 3 : 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. Ad joint 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.
Unit 4 : 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.
Unit 5 : Sequences And Series:
Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers. Relation between A.M. and G.M.
Unit 6 : Limit, Continuity And Differentiability:
Real valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic and exponential functions, inverse 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.
Unit 7 : Integral Calculus:
Integral as an anti-derivative. Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions. Integration by substitution, by parts and by partial fractions. Integration using trigonometric identities. Evaluation of simple integrals of the type. Integral as limit of a sum. Properties of definite integrals. Evaluation of definite integrals, determining areas of the regions bounded by simple curves in standard form.
Unit 8: 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+ p (x) y = q (x)dx
Unit 9: Coordinate Geometry:
Cartesian system of rectangular coordinates 10 in a plane, distance formula, section formula, locus and its equation, slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate axes.
Straight lines
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, equation of family of lines passing through the point of intersection of two lines.
Circles, conic sections
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.
Unit 10: 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.
Unit 11: 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.
Unit 12: Statistics and Probability:
Measures of Dispersion: Calculation of mean, median, mode of grouped and ungrouped data calculation of standard deviation, variance and mean deviation for grouped and ungrouped data.
Probability: Probability of an event, addition and multiplication theorems of probability, Baye’s theorem, probability distribution of a random variate, Bernoulli trials and Binomial distribution.
Unit 13: Trigonometry:
Trigonometrical identities and equations. Trigonometrical functions. Inverse trigonometrical functions and their properties. Heights and Distances.