CUET Maths Syllabus for Exam 2024: Detailed Mathematics Syllabus, List of Colleges & Future Prospects

CUET 2024 is scheduled between 15 May to 31 May 2024. The registration window for students has been closed on 5th April 2024. Interested students have applied and selected the subjects of their preference. Students can download the CUET syllabus for each subject from the official website Samarth.ac.in. The topics for each subject are mentioned in the detailed pdf of the syllabus on the website. Students who seek admission to colleges as per their subject get a lot of help in preparing for the CUET entrance exam with the help of the syllabus. Mathematics is among the many popular subjects students prefer while preparing for their CUET entrance test. CUET Maths Syllabus lists topics and units that will be covered in the test. Candidates can prepare according to the syllabus with the help of available CUET books.   

In this article, we will provide you with the detailed Mathematics Syllabus for CUET 2024, a list of colleges you can apply to with Mathematics as your domain subject in CUET 2024, and the career path you can follow while donning the cap of a Mathematician. Read on to learn about the CUET Maths Syllabus…

Undergraduate Mathematics Courses in India 

If you choose Mathematics as one of your domain subjects, you can opt for various undergraduate courses after clearing your CUET 2024. If Mathematics is your prime focus, then you would be studying Number Systems, Data Handling, Algebra, Geometry, Trigonometry, Statistics, and more with the undergraduate courses in Mathematics. The most popular courses in Mathematics that a student can pursue after the CUET entrance exam are:

• BA Mathematics
• B Sc Mathematics
• B Sc Statistics 

Other courses that you can apply with Mathematics as one of your domains are;

• B. Com (Hons)
• Bachelor in Finance and Accounting
• Bachelor of Business Administration 
• Bachelor of Management Studies
• BA Economics
• B Sc Economics
• Bachelor of Business Studies

Eligibility Criteria for Mathematics Undergraduate Courses:

• Mathematics as a subject in 10+2
• Other related courses for other related courses that also require Mathematics

Math CUET Syllabus and Exam Pattern 

Mathematics is one subject that must be chosen as the domain subject for the CUET entrance test for students who have has Maths in their 10+2. Selection to a college offering undergraduate courses in Mathematics is done as per the CUET marking scheme and merit list. First, a student must clear the CUET entrance test based on the CUET Maths Syllabus; preparation and understanding of the CUET marks distribution is a must. Here is a glimpse of the Maths CUET test pattern which is based on the CUET Maths Syllabus:

While you sit for your entrance test this year, make sure you are fully aware of the CUET Maths Syllabus and the pattern for the exam. Please check the below-mentioned important points about the Mathematics sections and CUET marks distribution:

• There will be two sections in the CUET Maths Syllabus, Section A and Section B.
• Section B is further divided into Sections B1 and B2.
• Section A will have 15 questions
• Sections B1 and B2 will have 35 questions each on Mathematics and Applied Mathematics, respectively.
• In Section B, students must answer at least 25 out of 35 questions in each sub-section.
• The entire test will be based on the CUET Maths Syllabus

Detailed CUET Maths Syllabus

The Mathematics test for CUET will cover Mathematics and Applied Mathematics. Two sections, as mentioned above, are covered in the CUET Maths Syllabus. Section A covers topics like Algebra, Calculus, Maxima & Minima, while Section B (B1 & B2) covers the concepts in detail. The CUET Maths syllabus 2024 is mentioned below in detail:

Section A 

Algebra

• Matrices and types of Matrices
• Equality of Matrices, transpose of a Matrix, Symmetric, and Skew Symmetric Matrix
• Algebra of Matrices
• Determinants
• The inverse of a Matrix
• Solving simultaneous equations using Matrix Method

Calculus 

• Higher order derivatives
• Tangents and Normals
• Increasing and Decreasing Functions
• Maxima and Minima

Integration and its Applications 

• Indefinite integrals of simple functions
• Evaluation of indefinite integrals
• Definite Integrals 
• Application of Integration as an area under the curve

Differential Equations

• Order and degree of differential equations
• Formulating and solving differential equations with variable separable

Probability Distribution

• Random variables and their probability distribution
• The expected value of a random variable
• Variance and Standard Deviation of a random variable
• Binomial Distribution

Linear Programming 

• Mathematical Formulation of Linear Programming Problem
• Graphical method of solution for problems in two variables
• Feasible and infeasible regions
• Optimal feasible solution

Section B1: Mathematics

Unit I: Relations and Functions

1. Relations and Functions

Types of relations: Reflexive, symmetric, transitive, and equivalence relations. One-to-one and onto functions, composite functions, the inverse of a function. Binary operations.

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

Concept, notation, order, equality, types of matrices, zero matrix, transpose of a matrix, symmetric and skew-symmetric matrices. Addition, multiplication, and scalar multiplication of matrices, simple properties of addition, multiplication, and scalar multiplication. Non-commutativity of multiplication of matrices and existence of non-zero 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).

2. Determinants

Determinants 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 a system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using an 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

Application in finding the area under simple curves, especially lines, arcs of circles/parabolas/ellipses (in standard form only), and the area between the two above-mentioned curves (the region should be identifiable).

5. 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 method of separation of variables, homogeneous differential equations of first order and first degree. Solutions of linear differential equation of the type –

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, component 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, the shortest distance between two lines. Cartesian and vector equation of a plane. The angle between (i) two lines, (ii) two planes, (iii) a line and a plane. Distance of a point from a plane.

Unit V: 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 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

•  Definite modulus of an integer
•  Apply arithmetic operations using modular arithmetic rules

B. Congruence Modulo

• Define congruence modulo
• Apply the definition in various problems

C.  Allegation and Mixture

•  Understand the rule of allegation to produce a mixture at a given price
• Determine the mean price of a mixture
• Apply the rule of allegation

D.  Numerical Problems

• Solve real-life problems mathematically

E. Boats and Streams

•  Distinguish between upstream and downstream
• Express the problem in the form of 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 a 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, Symmetric and Skew symmetric matrix

• 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 the 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 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

•  Understand the concept of Random Variables and its Probability Distributions
• Find the probability distribution of a 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 SD 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 types of index numbers

C. Test of Adequacy of Index Numbers

•   Apply time reversal test

Unit VI: Unit V: 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 the sample
•  Explain the relation between Parameter and Statistics
•  Explain the limitation of Statistics 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 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 equalities involving two variables and to find its solution graphically

E.  Feasible and Infeasible Regions

• Identify feasible, infeasible, and bounded regions
•   Find optimal feasible solution

How to Prepare for CUET Maths Syllabus 

If Mathematics is one of your domain subjects for the CUET entrance exam, then the first thing you must do is understand the CUET Maths syllabus thoroughly. Mostly CUET syllabus for Mathematics is based on Class 12. Figure out the chapters and topics covered in the entrance exam. This year, many topics in Mathematics in class 12 were reduced by CBSE, ISC, and UP boards.

Of course, you would be making notes and referring to all the study material you can find. CUET exam is relatively new; therefore, sticking to the CUET Maths syllabus and topics would benefit you in scoring more in your exam. Here are some Mathematics specific CUET preparations tips that you can utilise while preparing for CUET Maths Syllabus:

• Some topics under Relations and Functions are included in the CUET Maths syllabus but have been reduced by CBSE, ISC, and UP boards. In that case, candidates can refer to many available CUET books for better preparation.
• Focus more on your class 12 mathematics topics like Vectors, Algebra, and Continuity & Differentiability. Most MCQs might be from the class 12 syllabus only.
• Topics that were reduced by the education boards might not get covered in the CUET Maths Syllabus.
• Practice all the NCERT topics in your class 12 Maths Syllabus.
• Do not miss out on important definitions and theorems.
• Try to attempt as many practice and mock papers as you can
• Do not stress, and have confidence in yourself.
• Strictly follow the CUET Maths Syllabus

Best Institutes for Maths Undergraduate Courses in India 

Once you finish your CUET entrance test, you can apply to many colleges that offer undergraduate courses in Mathematics. Here is the list of top colleges and universities in India offering undergraduate courses in Mathematics:

• St. Stephen’s College, Delhi University
• Christ University
• St. Xavier’s College, Kolkata
• Presidency University, Kolkata
• Loyola College, Chennai
• Oxford College, Bangalore
• Indian Institute of Science Education and Research
• University of Hyderabad
• Indian Statistical Institute

CUET Mathematics Study Material

While preparing for your CUET Mathematics exam, practising as per the CUET Maths syllabus is important. Refer to CUET books that are available. You can also refer to the Gurukul Question Bank of Mathematics. The chapter-wise format of the book offers an exhaustive set of questions that cover every topic. The book adheres to the syllabus prescribed by the NTA.

Career Scope of Maths Courses

Mathematics is a subject through which you can explore various career paths. You can become a Mathematician if you choose to study further than your graduation or post-graduation or can explore various other careers. Here is a list of some of the popular careers that you can explore in Mathematics:

• Mathematician
• Business Analyst
• Data Scientist
• Data Analyst
• Statistician
• Risk Analyst
• Auditor
• Teacher
• Professor
• Financial Planner

Wrapping Up

There are more than 219 universities that will be participating in the CUET 2024 entrance exam. You can check the list here to see if the college you aspire to join is on the list. The chaos of hopping from one college to another and filling up so many college forms has subsided with the CUET. Students can now choose the subjects to explore and sit for their assessment. The admission is based on the scores you attain in your subjects. Questions are majorly based on your class 12 syllabus. It is advised to choose all subjects carefully and prepare well for the entrance exam. Those who have chosen or planning to pick Mathematics as their subject.

FAQs on CUET Maths Syllabus 2024