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CUET Mathematics syllabus 2023 is divided into two sections. In section 1, questions from Algebra, Calculus, Integration and its Applications, Differential Equations, etc. are asked while Section B is further Section B is divided into two parts including B1 and B2. To get shortlisted and to pursue the course of your dream, the CUET syllabus plays an important role, and based on the candidates’ performance in the written exam, they will be shortlisted for the course. CUET Exam which is also known as the Central Universities Common Entrance Test is a common exam for offering admission into the Central Universities of India. The National Testing Agency (NTA) takes CUET, an online entrance exam, to shortlist candidates for admission into any course at the Bachelor’s or Master’s level.
| Table of Contents |
CUET Mathematics Syllabus 2023
| SECTION A | |
|---|---|
| Unit / Chapter | List of Topics |
| 1. Algebra | Matrices and types of Matrices, Equality of Matrices, Algebra of Matrices, Determinants, transpose of a Matrix, Symmetric and Skew Symmetric Matrix, Inverse of a Matrix, etc. |
| 2. Calculus | Higher order derivatives, Maxima and Minima, Tangents and Normals (iii) Increasing and Decreasing Functions, etc. |
| 3. Integration and its Applications | (i) Indefinite integrals of simple functions (ii) Evaluation of indefinite integrals (iii) Definite Integrals (iv) Application of Integration as area under the curve |
| 4. Differential Equations | Order and degree of differential equations, Formulating and solving of differential equations with variable separable |
| 5. Probability Distributions | (i) Random variables and their probability distribution (ii) Expected value of a random variable (iii) Variance and Standard Deviation of a random variable (iv). Binomial Distribution |
| 6. Linear Programming | Mathematical formulation of Linear Programming Problem, Feasible and infeasible regions, Optimal feasible solution, Graphical method of solution for problems in two variables, etc. |
| Section B1: Mathematics | |
| UNIT I: RELATIONS AND FUNCTIONS | 1. Relations and Functions: Types of relations: Reflexive, symmetric, transitive and equivalence relations. composite functions, One to one and onto functions, etc. 2. Inverse Trigonometric Functions : Definition, range, domain, principal value branches. Graphs of inverse trigonometric functions. Elementary properties of inverse trigonometric functions. |
| UNIT II: ALGEBRA | 1. Matrices: Zero matrix, Concept, notation, order, equality, types of matrices, transpose of a matrix, symmetric and skew symmetric matrices, Addition, multiplication, simple properties of addition, multiplication and scalar multiplication. 2). Concept of elementary row and column operations. Invertible matrices and proof of the uniqueness of inverse, ifit exists; (Here all matrices will have real entries). 2. Determinants: Determinant of a square matrix (up to 3×3 matrices), properties of determinants, minors, cofactors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix |
| UNIT III: CALCULUS | 1. Continuity and Differentiability : Continuity and differentiability, derivative of composite functions, chain rule, derivatives of inverse trigonometric functions, derivative of implicit function. Concepts of exponential, logarithmic functions. Derivatives of log x and ex. Logarithmic differentiation. Derivative of functions expressed in parametric forms. Second-order derivatives. Rolle’s and Lagrange’s Mean Value Theorems(without proof) and their geometric interpretations. 2. Applications of Derivatives : Applications of derivatives: Rate of change, increasing/ decreasing functions, tangents and normals, approximation, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject as well as real-life situations). Tangent and Normal. 3. Integrals : Integration as inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions and by parts, only simple integrals of the type – to be evaluated. Definite integrals as a limit of a sum. Fundamental Theorem of Calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals. 4. Applications of the Integrals : Applications in finding the area under simple curves, especially lines, arcs of circles/ parabolas/ ellipses (in standard form only), area between the two above said curves (the region should be clearly identifiable). 5. Differential Equations: Definition, Formation of differential equation, order and degree, general and particular solutions of a differential equation. dy/dx + Py = Q, where P and Q are functions of x or constant dx/dy + Px = Q, where P and Q are functions of y or constant |
| UNIT IV: VECTORS AND THREE-DIMENSIONAL GEOMETRY | 1. Vectors : Vectors and scalars, magnitude and direction of a vector. Direction cosines/ ratios of vectors. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Scalar (dot) product of vectors, projection of a vector on a line. Vector(cross) product of vectors, scalar triple product. 2. Three-dimensional Geometry : Direction cosines/ ratios of a line joining two points. Cartesian and vector equation of a line, coplanar and skew lines, shortest distance between two lines.Cartesian and vector equation of a plane. Angle between (i) two lines, (ii) two planes, (iii) a line and a plane. Distance of a point from a plane. |
| Unit V : LinearProgramming | Introduction, related terminology such as constraints, objective function, optimization, different types of linear programming (L.P.) problems, mathematical formulation of L.P. problems, graphical method of solution for problems in two variables, feasible and infeasible regions, feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints). |
| Unit VI : Probability | Multiplications theorem on probability. Conditional probability, independent events, total probability, Baye’s theorem. Random variable and its probability distribution, mean and variance of haphazard variable. Repeated independent (Bernoulli) trials and Binomial distribution. |
| Section B2: Applied Mathematics | |
| Unit I: Numbers, Quantification and Numerical Applications | A. Modulo Arithmetic : Apply arithmetic operations using modular arithmetic rules, Define modulus of an integer. B. Congruence Modulo : Define congruence modulo, Apply the definition in various problems C. Allegation and Mixture : Determine the mean price of a mixture, Apply rule of allegation, Understand the rule of allegation to produce a mixture at a given price. D. Numerical Problems : Solve real life problems mathematically E. Boats and Streams : Distinguish between upstream and downstream, Express the problem in the form of an equation F. Pipes and Cisterns : Determine the time taken by two or more pipes to fill or G. Races and Games : Compare the performance of two players w.r.t. time, distance taken/ distance covered/ Work done from the given data H. Partnership : Differentiate between active partner and sleeping partner, Determine the gain or loss to be divided among the partners in the ratio of their investment with due consideration of the time volume/ surface area for solid formed using two or more shapes I. Numerical Inequalities : Describe the basic concepts of numerical inequalities, Understand and write numerical inequalities |
| UNIT II: ALGEBRA | A. Matrices and types of matrices : Define matrix, Identify different kinds of matrices B. Equality of matrices, Transpose of a matrix, Skew symmetric matrix, Symmetric: Determine equality of two matrices, Write transpose of given matrix, Define symmetric and skew symmetric matrix |
| UNIT III: CALCULUS | A. Higher Order Derivatives : Determine second and higher order derivatives, Understand differentiation of parametric functions and implicit functions Identify dependent and independent variables B. Marginal Cost and Marginal Revenue using derivatives : Define marginal cost and marginal revenue, Find marginal cost and marginal revenue C. Maxima and Minima : Determine critical points of the function, Find the point(s) of local maxima and local minima and corresponding local maximum and local minimum values, Find the absolute maximum and absolute minimum value of a function |
| UNIT IV: PROBABILITY DISTRIBUTIONS | A. Probability Distribution : Probability Distributions, Understand the concept of Random Variables, probability distribution of discrete random variable B. Mathematical Expectation : Apply arithmetic mean of frequency distribution to find the expected value of a random variable C. Variance : Calculate the Variance and S.D. of a random variable |
| UNIT V: INDEX NUMBERS AND TIME BASED DATA | A. Index Numbers : Define Index numbers as a special type of average B. Construction of Index numbers : Construct different type of index numbers C. Test of Adequacy of Index Numbers : Apply time reversal test |
| UNIT VI: INDEX NUMBERS AND TIME BASED DATA | A. Population and Sample : Define Population and Sample, Differentiate between population and sample, Define a representative sample from a population B. Parameter and Statistics and Statistical Interferences : Define Parameter with reference to Population, Define Statistics with reference to Sample, Explain the relation between Parameter and Statistic, Explain the limitation of Statistic to generalize the estimation for population, Interpret the concept of Statistical Significance and Statistical Inferences, State Central Limit Theorem, Explain the relation between Population-Sampling Distribution-Sample |
| UNIT VII: INDEX NUMBERS AND TIME BASED DATA | A. Time Series : Identify time series as chronological data B. Components of Time Series : Distinguish between different components of time series C. Time Series analysis for univariate data : Solve practical problems based on statistical data and Interpret |
| UNIT VIII: FINANCIAL MATHEMATICS | A. Perpetuity, Sinking Funds : Explain the concept of perpetuity and sinking fund, Calculate perpetuity, Differentiate between sinking fund and saving account B. Valuation of Bonds : Define the concept of valuation of bond and related terms, Calculate value of bond using present value approach C. Calculation of EMI : Explain the concept of EMI, Calculate EMI using various methods D. Linear method of Depreciation : Define the concept of linear method of Depreciation, Interpret cost, residual value and useful life of an asset from the given information, Calculate depreciation |
| UNIT IX: LINEAR PROGRAMMING | A. Introduction and related terminology : Familiarize with terms related to Linear Programming Problem B. Mathematical formulation of Linear Programming Problem : Formulate Linear Programming Problem C. Different types of Linear Programming Problems : Identify and formulate different types of LPP D. Graphical Method of Solution for problems in two Variables : Draw the Graph for a system of linear inequalities involving two variables and to find its solution graphically E. Feasible and Infeasible Regions: Identify feasible, infeasible, and bounded regions F. Feasible and infeasible solutions, optimal feasible solution: Understand feasible and infeasible solutions, Find the optimal feasible solution |
CUET Mathematics Exam Pattern 2023
The detailed CUET Mathematics exam pattern is written below:
- CUET Maths paper is divided into two Sections- Section A and Section B [B1 and B2].
- Section A consists of 15 questions including Mathematics and Applied Mathematics and candidates have to do all.
- Section B1 will have a total of 35 questions asked from the Mathematics section, out of which 25 questions need to be attempted.
- Section B2 will have 35 questions in Applied Mathematics out of which 25 questions need to be attempted.
Tips to prepare for CUET Mathematics 2023
- Scan the latest Exam Pattern & Syllabus
- Prepare a strong strategy
- Make sure that you devote at least 2-3 hours each day to your CUET Mathematics preparation.
- Divide the time equally to build your basics and get conceptual clarity by reading more books, study material, etc.
- Work on improving your weak areas by allotting more preparation time
- Take more mock tests and analyze your errors
- Try to complete the CUET Mathematics syllabus at least 30-45 days or a month before the exam date.
- Stay motivated while appearing for the CUET entrance exam.
CUET Mathematics Books: NCERT Books For Class 11 & 12
The candidates must be familiarized with the CUET Mathematics curriculum as most of the topics are asked from the NCERT Books for Classes 11 and 12.
CUET Mathematics Question Papers
The candidates preparing for the CUET Mathematics exam 2023 must do more of last year's question papers as they are the best sources to know the style of questions asked in the exam. Also by practicing last year's papers, candidates can get to know their strong and weak points, which eventually help them improve their performance in the exams.
Mathematics is considered one of the most difficult subjects among all the other subjects as it needs much practice and dedication. Getting a good score in CUET Mathematics Exam is important to get become eligible for various posts. The scores obtained by them will make them eligible for various courses.
CUET Mathematics Syllabus 2023 FAQs
Ques. What all sections are there in the CUET Algebra Maths section?
Ans. Some of the important sections include Matrices and types of Matrices, transpose of a Matrix, Equality of Matrices, Inverse of a Matrix, Symmetric and Skew Symmetric Matrix, Algebra of Matrices, Determinants, etc.
Ques. What will be the level of questions asked in the CUET Maths section?
Ans. The Mathematics questions level will be of moderate to high level in the CUET exam.
Ques. Should I prepare linear programming while preparing for the CUET Maths Exam?
Ans. Yes, topics like Mathematical formulation of Linear Programming Problems, Feasible and infeasible regions, Graphical method of solution for problems in two variables, Optimal feasible solution, etc. are asked in the exam.
Ques. Should I refer to NCERT books while doing CUET Maths preparation?
Ans. Yes, candidates must go through the CUET exam books. There are many books that candidates can consider to boost their preparation level.
Ques. Into how many CUET Mathematics syllabi are divided?
Ans. The CUET Mathematics syllabus is segmented into three sections including Section A, Section B1, and Section B2. The topics asked in the syllabus have already been covered in the class 12 class.
*The article might have information for the previous academic years, which will be updated soon subject to the notification issued by the University/College.
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