Updated on 14th April 2023  03:58 pm  #Mathssyllabus
CUET maths syllabus: The Common University Entrance Test (CUET) is a centralised entrance exam. It gives an equal and common opportunity to all aspiring students across the country to get a seat with their desired UG course at the most prestigious universities/colleges in the country. The exam will be conducted by the NTA in CBT mode and all the questions will be MCQ type.
Students aspiring to pursue maths subjects in their UG, should go through the CUET maths syllabus thoroughly and prepare well for the test. All the UG admissions in the participating universities (200+) will be based on the CUET scores of the candidates. It is of paramount importance that you prepare well and score high marks in your CUET test. Go through the CUET maths syllabus for 2023 and prepare a suitable preparation strategy to ensure that you get a seat in your desired college/university.
This article is going to help you with a detailed CUET maths syllabus and how to prepare mathematics for CUET. Follow the article till the end to get all the necessary details that you need to know about the exam and start your preparation in a comprehensive manner.
For CUET 2022, NTA received a total of 15 lakhs (approx) applications. Going by the hype around it, CUET 2023 is easily going to beat the numbers. Students from all corners of the country apply for the test, and the expected competition will be tough. It is not going to be a very difficult ride for the students. The students should go through the brief CUET maths syllabus to get a proper understanding and ramp up their preparation for the exam at the earliest. Download the pdf containing the complete CUET syllabus for all the domain subjects, below.
The National Testing Agency (NTA) has released the detailed CUET maths syllabus on its official website. The same has been discussed in detail here. The syllabus for mathematics is very vast and is divided into two brief sections. Both sections are equally important and should be covered with utmost diligence. Find out the detailed section and unitwise CUET maths syllabus in the table below and explore how to prepare mathematics for CUET.
The detailed mathematics syllabus for CUET is discussed in the dropdowns below:
UNIT 
CHAPTER 
SUBUNIT 
1 
Algebra 
(i) Matrices and types of matrices (ii) Equality of matrices, transpose of a matrix, symmetric and skewsymmetric matrix (iii) Algebra of matrices (iv) Determinants (v) Inverse of a matrix (vi) Solving of simultaneous equations using matrix method 
2. 
Calculus 
(i) Higherorder derivatives (ii) Tangents and normals (iii) Increasing and decreasing functions (iv) Maxima and minima 
3. 
Integration and its applications 
(i) Indefinite integrals of simple functions (ii) Evaluation of indefinite integrals (iii) Definite integrals (iv) Application of integration as the area under the curve 
4. 
Differential equations 
(i) Order and degree of differential equations (ii) Formulating and solving 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 
(i) Mathematical formulation of linear programming problem (ii) Graphical method of solution for problems in two variables (iii) Feasible and infeasible regions (iv) Optimal feasible solution 
UNIT 
CHAPTER 
SUBUNIT 
RELATIONS AND FUNCTIONS 
Relations and functions 
Types of relations: Reflexive, symmetric, transitive and equivalence relations. Onetoone and onto functions, composite functions, the inverse of a function. Binary operations. 
Inverse trigonometric functions 
Definition, range, domain, principal value branches. Graphs of inverse trigonometric functions. Elementary properties of inverse trigonometric functions. 

ALGEBRA 
Matrices 
Concept, notation, order, equality, types of matrices, zero matrix, transpose of a matrix, symmetric and skewsymmetric matrices. Addition, multiplication, and scalar multiplication of matrices, simple properties of addition, multiplication, and scalar multiplication. Noncommutativity of multiplication of matrices and existence of nonzero matrices whose product is the zero matrix (restricted to square matrices of order 2). Concept of elementary row and column operations. Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries). 
Determinants 
Determinants of a square matrix (upto 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 a number of solutions of a system of linear equations by examples, solving systems of linear equations in two or three variables (having a unique solution) using the inverse of a matrix. 

CALCULUS 
Continuity and differentiability 
Continuity and differentiability, a derivative of composite functions, chain rules, derivatives of inverse Trigonometric functions, and derivatives of implicit functions. Concepts of exponential, logarithmic functions. Derivatives of log x and ex. Logarithmic differentiation. Derivative of functions expressed in parametric forms. Secondorder derivatives.Rolle’s and Lagrange’s Mean Value theorems (without proof) and their geometric interpretations. 
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 reallife situations). Tangent and normal. 

Integrals 
Integration as an inverse process of differentiation. Integration of a variety of functions by substitution, partial fractions, and parts, only simple integrals of the type – is 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. 

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). 

Differential equations 
Definition, order, and degree, general and particular solutions of a differential equation. Formation of differential equations whose general solution is given.Solution of differential equations by the method of separation of variables, homogeneous differential equations of first order, and first degree. 

VECTORS & THREE  DIMENSIONAL GEOMETRY 
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, the 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. 
Threedimensional Geometry 
Direction cosines/ratios of a line joining two points. Cartesian and vector equation of a line, coplanar and skew lines, the shortest distance between two lines. Cartesian and vector equation of a plane.The angle between (i)two lines,(ii)two planes, and (iii) a line and a plane. Distance of a point from a plane. 

LINEAR PROGRAMMING 
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 nontrivial constraints). 

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. 
UNIT 
CHAPTER 
SUBUNIT 
NUMBERS, QUANTIFICATION, AND NUMERICAL APPLICATIONS 
Modulo arithmetic 
∙ Define modulus of an integer ∙ Apply arithmetic operations using modular arithmetic rules 
Congruence modulo 
∙ Define congruence modulo ∙ Apply the definition in various problems 

Allegation and mixture 
∙ Understand the rule of allegation to produce a mixture at a given price ∙ Determine the mean price of a mixture ∙ Apply rule of allegation 

Numerical problems 
∙ Solve real life problems mathematically 

Boats and streams 
∙ Distinguish between upstream and downstream ∙ Express the problem in the form of an equation 

Pipes and cisterns 
∙ Determine the time taken by two or more pipes to fill 

Races and games 
∙ Compare the performance of two players w.r.t. time, ∙ distance taken/distance covered/ Work done from the given data 

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 

Numerical inequalities 
∙ Describe the basic concepts of numerical inequalities ∙ Understand and write numerical inequalities 

ALGEBRA 
Matrices and types of matrices 
∙ Define matrix ∙ Identify different kinds of matrices 
Equality of matrices, Transpose of matrix, Symmetric and Skew symmetric matrix 
∙ Determine equality of two matrices ∙ Write transpose of given matrix ∙ Define symmetric and skew symmetric matrix 

CALCULUS 
Higher order derivatives 
∙ Determine second and higher order derivatives ∙ Understand differentiation of parametric functions and implicit functions Identify dependent and independent variables 
Marginal cost and marginal revenue using derivatives 
∙ Define marginal cost and marginal revenue ∙ Find marginal cost and marginal revenue 

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 

PROBABILITY DISTRIBUTIONS 
Probability distribution 
∙ Understand the concept of Random Variables and its Probability Distributions ∙ Find probability distribution of discrete random variable 
Mathematical expectation 
∙ Apply arithmetic mean of frequency distribution to find the expected value of a random variable 

Variance 
∙ Calculate the Variance and S.D.of a random variable 

INDEX NUMBERS AND TIME BASED DATA 
Index numbers 
∙ Define Index numbers as a special type of average 
Construction of index numbers 
∙ Construct different type of index numbers 

Test of adequacy of index numbers 
∙ Apply time reversal test 

INDEX NUMBERS AND TIME BASED DATA 
Population and sample 
∙ Define Population and Sample ∙ Differentiate between population and sample ∙ Define a representative sample from a population 
Parameter and statistics and statistical interferences 
∙ Define parameter with reference to population ∙ Define statistics with reference to sample ∙ Explain the relation of parameter & statistic ∙ Explain the limitation of statistics to generalize the estimation for population ∙ Interpret the concept of statistical significance and statistical inferences ∙ State central limit theorem ∙ Explain the relation between populationsampling distributionsample 

INDEX NUMBERS AND TIMEBASED DATA 
Time series 
∙ Identify time series chronological data 
Components of time series 
∙ Distinguish between different components of time series 

Time Series analysis for univariate data 
∙ Solve practical problems based on statistical data and Interpret 

FINANCIAL MATHEMATICS 
Perpetuity, sinking funds 
∙ Explain the concept of perpetuity and sinking fund ∙ Calculate perpetuity ∙ Differentiate between sinking fund and saving account 
Valuation of bonds 
∙ Define the concept of valuation of bond and related terms ∙ Calculate value of bond using present value approach 

Calculation of EMI 
∙ Explain the concept of EMI ∙ Calculate EMI using various methods 

Linear method of depreciation 
∙ Define the concept of the linear method of Depreciation ∙ Interpret cost, residual value, and useful life of an asset from the given information ∙ Calculate depreciation 

LINEAR PROGRAMMING 
Introduction and related terminology 
∙ Familiarize with terms related to linear programming problem 
Mathematical formulation of linear programming problem 
∙ Formulate linear programming problem 

Different types of linear programming problems 
∙ Identify and formulate different types of LPP 

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 

Feasible and infeasible regions 
∙ Identify feasible, infeasible unbounded regions 

Feasible and infeasible solutions, optimal feasible solution 
∙ Understand feasible and infeasible solutions ∙ Find the optimal feasible solution 
From a preparational perspective, it is very important that along with the CUET maths syllabus, you are also aware of the exam pattern and the types of questions that are expected from each unit. This allaround knowledge about the exam pattern/syllabus always comes in handy and makes your task easier in every step of how to prepare mathematics for CUET.
The detailed mathematics question pattern is discussed below:
Now that you are fully aware of the detailed CUET maths syllabus and exam pattern for CUET, it is very important that you have a suitable plan to approach how to prepare mathematics for CUET.
But, how to prepare Mathematics for CUET in the best and most effective manner? In this part, the article is going to try and make your task easier by discussing a tailormade strategic plan that will ensure you ace your CUET preparation and succeed in it.
While doing your preparation, it is crucial that you spend your time judiciously and smartly. This judicious and smart investment of time requires you to have a proper plan and timetable at hand. This article will now assist you by suggesting some tried and tested methods that are helpful in answering how to prepare mathematics for CUET.
The strategies and methods are discussed below:
A disciplined and routined approach is very vital for any kind of preparation. This can only be achieved by charting out a suitable timetable, considering the length of the CUET maths syllabus and the time you have. The timetable must ensure that you cover the whole syllabus in time and there is enough time at hand to practice and revise. Once your timetable is ready, you need to follow it with discipline and punctuality.
Just knowing the syllabus is not enough for answering how to prepare mathematics for CUET. A thorough grip means, you also have to identify and prioritise the chapters based on their importance. You have to understand your strengths and weaknesses and work on them. This will give you better clarity and smoothen your approach. At all costs, you need to ensure that your preparation remains syllabus specific and goaloriented.
While planning, how to prepare mathematics for CUET? It is important that you take care of these two things. The majority of your chances of succeeding depend on how well you manage your time and how consistent you are with your routine. Managing available time and consistency in the effort is most desired in any aspirant. This makes your approach disciplined and goaloriented. If you can ensure these two, the chances of your success are automatically higher.
This is the final and most crucial step that no one should skip. This will sharpen you in every aspect, and make you exam ready. Once you are done with the syllabus, revise judiciously and go through the important sections again and again. Aspirants are advised to solve practice sets as many as possible, and also appear for mock tests. By doing this, candidates will get an opportunity to manage their time well in exams, and also get to familiarize themselves with the exam atmosphere.
And yes, do not forget to eat and sleep well, and also ensure you remain calm and relaxed. A healthy body and mind, working in coordination always yield the best result.
It's always easier said than done. In this article, we discussed the CUET maths syllabus, and how to prepare mathematics for CUET in detail. Now, it’s the individual responsibility of the students to go through it attentively and adhere to the methodical approach penned out here in the article. CUET is a centralised exam and the expected competition is going to be very tough. It is better that you start preparing as soon as possible and follow all the steps and guidelines strictly. Give yourself the best chance to be a part of renowned universities/colleges across the country by starting early.
CUET is expected to be a major turning point in the history of higher education in India. Ramp up your preparation by starting early and ace the test.
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