January 17, 2023

**Summary: **

*Several UG courses like B.Sc.(Hons.) Instrumentation, B.Tech, B.Com, etc., include Mathematics in their exam pattern, which makes Mathematics preparations unavoidable for CUET admission. *

*Since CUET was recently introduced, students might face issues with understanding or finding the right syllabus. *

*This article helps you with the CUET Mathematics Exam Syllabus 2023 as the NTA prescribes. *

Understanding the syllabus for any subject is an integral part of the preparation process to achieve excellent scores. NTA will release the syllabus for Mathematics on the official website for the next academic year.

We can expect the syllabus to be quite similar to that of last year. There are several books for Mathematics preparations; however, getting your basics right from NCERT textbooks will suffice for good preparations.

Section II has domain subjects, including Mathematics, and its syllabus is divided into 2 sections:

*Section- A**Section B (Section B1 and Section- B2)*

The article will you through every topic falling under CUET Mathematics Exam Syllabus 2023.

The Central University Entrance Test (**CUET 2023**) will be administered to establish a level playing field for all applicants, irrespective of how well they performed in the class 12 board test. The mathematics curriculum for CUET is quite comprehensive and is broken down into smaller sections for you.

The specific question format for each unit is broken down into the following categories:

- The question paper for Mathematics will be divided into sections, Section A and Section B [B1 and B2].
- Section A will have 15 questions covering both, i.e., Mathematics/Applied Mathematics, which will be compulsory for all candidates
- Section B1 will have 35 questions from Mathematics, out of which 25 questions need to be attempted.
- Section B2 will have 35 questions purely from Applied Mathematics, out of which 25 questions will be attempted.

The sections and topics under Mathematics **CUET Exam Syllabus** 2023 are elaborated as follows:

Applied Mathematics topics to be prepared are as follows:

**Unit I: Relations and Functions**

*1. Relationships and Roles*

Topics: Forms of relationships: Reflexive, symmetric, transitive, and equivalence relations. One-to-one and onto functions, composite functions, and the function's inverse. The use of binary operations.

*2. Trigonometric Inverse Functions*

Topics: Definition, range, domain, major value branches. Inverse trigonometric function graphs. The fundamental characteristics of inverse trigonometric functions.

Check: **NTA announces CUET 2023 Exam Dates Soon**

**Unit II: Algebra**

*1. Matrices*

Topics: Concept, notation, order, equality, matrices types, zero matrices, matrix transpose, symmetric matrices. Matrix addition, multiplication, and scalar multiplication; addition, multiplication, and scalar multiplication as basic characteristics. Noncommutativity of matrix multiplication and the presence of nonzero matrices whose product is zero matrices (restricted to square matrices of order 2).

Topics: Concept about elementary row and column operations Invertible matrices and, if possible, confirmation of the uniqueness of the inverse; (Here, all matrices will have real entries).

*2. Determinants*

Topics: Determinants of a square matrix (up to 3 3 matrices), their characteristics, minors, and applications in calculating the area of a triangle. Inverse and adjoint of a square matrix. Example of consistency, inconsistency, and several solutions of a system of linear equations; solution of a system of linear equations in two or three variables (with a unique solution) using the inverse of a matrix.

**Unit III: Calibration**

*1. Continuity and Distinctiveness*

Topics: Continuity and differentiability, the derivative of composite functions, the chain rule, the derivatives of inverse trigonometric functions, and the derivative of an implicit function. Exponential and logarithmic function concepts. Derivativesoflog x index. Differentiation is based on logarithmic differentiation. Derivative of parametrically-expressed functions. Second-order differentiation. Rolle's and Lagrange's Mean Value Theorems and their geometric implications (without proof).

*2. Derivative Applications*

Topics: Rate of change, increasing/decreasing functions, tangents and normals, approximation, maxima, and minima are applications of derivatives (the first derivative test is motivated geometrically, and the second derivative test is given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject and real-life situations). Standard and Tangent

*3. Three Applications of Integrals*

Topics: Applications for determining the area under simple curves, including lines, arcs of circles/parabolas/ellipses (in standard form only), and the area between the two aforementioned curves (the region should be identifiable).

Check: **CUET 2023 Mock Tests**

**Unit IV: Vectors and three-dimensional Geometry**

*1. Vectors*

Topics: Vectors and scalars, vector magnitude and direction, Vector direction cosines and ratios. Vector types (equal, unit, zero, parallel, and collinear vectors), the position vector of a point, the negative of a vector, the components of a vector, the addition of vectors, the multiplication of a vector by a scalar, and the position vector of a point splitting a line segment in a certain ratio. Scalar product of vectors, vector projection onto a line. Vector (cross) product and vector triple product.

*2. The study of three-dimensional geometry*

Topics: Cosines and ratios of the direction of a line joining two locations. Cartesian and vector line equations, coplanar and skew lines, and the shortest distance between two lines. A plane's Cartesian and vector equations. The angle between two lines, planes, or a line and a plane. The distance between a point and a plane.

**UNIT V: Linear Programming**

Topics: Introduction, terminology such as constraints, objective function, and optimization, various types of linear programming (L.P.) problems, mathematical formulation of L.P. problems, graphical method of solution for two-variable problems, feasible and infeasible regions, feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints).

Check: **CUET Coaching 2023**

**Unit VI: Probability**

Topics: Multiplications in theorem regarding probability. Baye's theorem, conditional probability, independent events, and total probability. Random variable, its probability distribution, and its mean and standard deviation. Repeated independent trials (Bernoulli) and the Binomial distribution.

These are the units available for applied mathematics:

** Unit I: Numbers, Quantity, and Numerical Applications**

*1. Modulo Arithmetic *

Topics:

- Define the modulus of an integer
- Use modular arithmetic rules to perform arithmetic operations

*2. Congruence Modulo*

Topics:

- Define congruence modulo
- Apply the definition to several problems

*3. Allegation and Combination*

Topics:

- Determine the mean price of a mixture
- Comprehend the rule of allegation for producing a mixture at a particular price
- Apply the rule stated in the accusation

*4. Numerical Problems*

Topics:

- Solve mathematically real-world problems

*5. Boats and Streams *

Topics:

- Differentiate between upstream and downstream
- Write the problem as an equation

*6. Pipes and cisterns*

Topics: Calculate the time required for two or more pipes to fill or drain.

*7. Contests and sports*

Topics: Compare the performance of two players in terms of time, distance travelled, and work accomplished using the provided data.

*8. Partnership *

Topics:

- Distinguish between an active partner and a sleeping partner
- Calculate the gain or loss to be distributed among the partners based on the proportion of each partner's investment to the total investment
- evaluation of time/volume/surface area for solids created by combining two or more shapes

*9. Numerical Inequalities*

Topics:

- Describe the fundamental ideas of numerical inequalities
- Understand numerical inequalities and write them

Check: **CUET Syllabus for General Test**

**Unit II: Algebra**

These are the topics under Unit II:

*1. Types of matrices and matrices*

Topics:

- Define matrix
- Recognize many types of matrices

*2. Equivalence of matrices Matrix transpose, symmetric and skew-symmetric matrix*

Topics:

- Determine the equivalence of two matrices
- Write transpose of a given matrix
- Define symmetric and skewsymmetric matrix

**Unit III: Calibration **

These are the topics under Unit II:

*1. Higher Order Derivatives*

Topics:

- Calculate second and higher-order derivatives
- Understand the differentiation of parametric functions and implicit functions Identify dependent and independent variables

*2. Marginal Revenue and Marginal Cost Using Derivatives*

Topics:

- Determine marginal cost and revenue
- Find marginal cost and marginal revenue

*3. Maxima and minima*

Topics:

- Determine critical points of the function
- Find the point(s) of local maxima and local minima and the accompanying local maximum and local minimum values
- Determine the absolute maximum and absolute minimum value of a function

Check: **Domain Subjects in CUET**

**Unit IV: Probability Distributions**

*1. Probability Distribution*

Topics:

- Understand the idea of Random Variables and their Probability Distributions
- Find the probability distribution of the discrete random variable

*2. Mathematical Expectation*

Topics:

Use the arithmetic mean of the frequency distribution to determine the anticipated value of a random variable

*3. Variance*

Topics:

Calculate the Variance and Standard Deviation of a random variable

**UNIT V: Index Numbers and Time-Based Data**

*1. Index Numbers*

Topics: Define Index numbers as a special type of average

*2. Development of index numbers*

Topics: Create various types of index numbers

*3. Test of Index Numbers' Adequacy *

Topics: Apply the time reversal test

**UNIT VI: Population and Statistics**

*1. Population and Sample*

Topics:

- Define Population and Sample
- Differentiate between population and sample
- Define a representative sample from a population

*2. Parameters and statistics, as well as Statistical Interferences*

Topics:

- Define the Parameter of the Population
- Define Statistics about the Sample
- Explain the relationship between Parameters and Statistics
- Explain the limitation of Statistics to generalize the estimation of the Population
- Interpret the concept of Statistical Significance and Statistical Inferences
- State the Central Limit Theorem
- Explain the relationship between Population, Sampling Distribution, and Sample.

Check: **NTA CUET Preparation Books 2023**

**UNIT VII: Index Numbers and Time-Based Data**

*1. A.Time Series*

Topics: Determine that time series are chronological data

*2. Components of Time Series*

Topics: Differentiate between distinct time series components

*3. Time Series analysis for univariate data*

Topics: Solve practical problems based on statistical data and Interpret

Check: **CUET Sociology Syllabus**

**UNIT VIII: Financial Mathematics**

*1. Endowment and Sinking Funds*

Topics:

- Define perpetuity and sinking fund
- Calculate perpetuity
- Distinguish between sinking fund and savings account.

*2. Bond Valuation*

Topics:

- Define the idea of bond valuation and related concepts
- Determine the bond's value using the present value method

*3. EMI Calculation*

Topics:

- Describe the notion of electromagnetic interference (EMI)
- Calculate EMI using various ways

*4. Linear Depreciation Method*

Topics:

- Define the idea of linear depreciation
- Interpret the cost, residual value, and usable life of an item based on the facts provided
- Calculate depreciation

**UNIT IX: Linear Programming**

*1. Introduction and pertinent terms*

Topics: Acquaint oneself with terms associated with Linear Programming Problem

*2. B.Mathematicalformulation of Linear Programming Problem*

Topics: Formulate Linear Programming Problem

*3. Different Linear Programming Problem Types*

Topics: Identify and develop various LPP kinds

*4. Graphical Solution Method for Two-Variable Problems*

Topics: Draw the graph for a system of linear inequalities involving two variables and graphically determine its solution

Check: **CUET Economics Syllabus**

*5. Feasible and Infeasible Regions*

Topics: Identify feasible, infeasible, and bounded regions

*6. Feasible and impractical solutions, optimum feasible solution*

Topics:

- Recognize feasible and impractical options
- Identify the optimal feasible solution

Note: You do not have to focus on Mathematics if the UG program you applied to has no Mathematics syllabus to it.

Due to the extensive amount of practice required, mathematics is widely regarded as the most challenging topic among all the subjects. You cannot become an expert in the subject unless you frequently practice problems from the syllabus.

For this, it is necessary to have complete knowledge of the subjects to be covered in the curriculum. The preceding part of this article has offered a detailed summary of the curriculum. Make sure, you practice several mocks and solve previous year's papers to study at top universities across the country.

Frequently Asked Questions

What are some of the options available to me if I opt for Mathematics?

The CUET Exam is open to candidates for the following courses: Integrated Bachelor of Science and Master of Science in Mathematics, Integrated Bachelor of Science and Bachelor of Education in Mathematics, and Integrated Master of Science in Mathematics.

How many universities provide mathematics programs that students may take that will count toward their CUET exam in 2023?

It is expected that many more universities will accept CUET as their admission process; since we have the list of CUET 2023 participating colleges, we can determine the mathematics programs offered.

I need to enhance my accuracy when responding to the questions for the CUET Exam 2023. What can I do?

Candidates are required to practice a wide range of topics, with at least 100-200 questions coming from each area. Your response times and accuracy will both improve with consistent practice and revision of the material.

How exactly can I get started with my preparation for the CUET Exam 2023?

You must thoroughly read the official announcement and check through the exam pattern and the syllabus for each topic they choose to study. Prioritize the topics of importance, understand the basics and start practising problems from the topics.

What should I practise under Probability?

Solve problems from Baye's theorem, conditional probability, independent events, and total probability. Random variable, and Binomial distribution.

Updated On : January 17, 2023

**Summary: **

*Several UG courses like B.Sc.(Hons.) Instrumentation, B.Tech, B.Com, etc., include Mathematics in their exam pattern, which makes Mathematics preparations unavoidable for CUET admission. *

*Since CUET was recently introduced, students might face issues with understanding or finding the right syllabus. *

*This article helps you with the CUET Mathematics Exam Syllabus 2023 as the NTA prescribes. *

Understanding the syllabus for any subject is an integral part of the preparation process to achieve excellent scores. NTA will release the syllabus for Mathematics on the official website for the next academic year.

We can expect the syllabus to be quite similar to that of last year. There are several books for Mathematics preparations; however, getting your basics right from NCERT textbooks will suffice for good preparations.

Section II has domain subjects, including Mathematics, and its syllabus is divided into 2 sections:

*Section- A**Section B (Section B1 and Section- B2)*

The article will you through every topic falling under CUET Mathematics Exam Syllabus 2023.

The Central University Entrance Test (**CUET 2023**) will be administered to establish a level playing field for all applicants, irrespective of how well they performed in the class 12 board test. The mathematics curriculum for CUET is quite comprehensive and is broken down into smaller sections for you.

The specific question format for each unit is broken down into the following categories:

- The question paper for Mathematics will be divided into sections, Section A and Section B [B1 and B2].
- Section A will have 15 questions covering both, i.e., Mathematics/Applied Mathematics, which will be compulsory for all candidates
- Section B1 will have 35 questions from Mathematics, out of which 25 questions need to be attempted.
- Section B2 will have 35 questions purely from Applied Mathematics, out of which 25 questions will be attempted.

The sections and topics under Mathematics **CUET Exam Syllabus** 2023 are elaborated as follows:

Applied Mathematics topics to be prepared are as follows:

**Unit I: Relations and Functions**

*1. Relationships and Roles*

Topics: Forms of relationships: Reflexive, symmetric, transitive, and equivalence relations. One-to-one and onto functions, composite functions, and the function's inverse. The use of binary operations.

*2. Trigonometric Inverse Functions*

Topics: Definition, range, domain, major value branches. Inverse trigonometric function graphs. The fundamental characteristics of inverse trigonometric functions.

Check: **NTA announces CUET 2023 Exam Dates Soon**

**Unit II: Algebra**

*1. Matrices*

Topics: Concept, notation, order, equality, matrices types, zero matrices, matrix transpose, symmetric matrices. Matrix addition, multiplication, and scalar multiplication; addition, multiplication, and scalar multiplication as basic characteristics. Noncommutativity of matrix multiplication and the presence of nonzero matrices whose product is zero matrices (restricted to square matrices of order 2).

Topics: Concept about elementary row and column operations Invertible matrices and, if possible, confirmation of the uniqueness of the inverse; (Here, all matrices will have real entries).

*2. Determinants*

Topics: Determinants of a square matrix (up to 3 3 matrices), their characteristics, minors, and applications in calculating the area of a triangle. Inverse and adjoint of a square matrix. Example of consistency, inconsistency, and several solutions of a system of linear equations; solution of a system of linear equations in two or three variables (with a unique solution) using the inverse of a matrix.

**Unit III: Calibration**

*1. Continuity and Distinctiveness*

Topics: Continuity and differentiability, the derivative of composite functions, the chain rule, the derivatives of inverse trigonometric functions, and the derivative of an implicit function. Exponential and logarithmic function concepts. Derivativesoflog x index. Differentiation is based on logarithmic differentiation. Derivative of parametrically-expressed functions. Second-order differentiation. Rolle's and Lagrange's Mean Value Theorems and their geometric implications (without proof).

*2. Derivative Applications*

Topics: Rate of change, increasing/decreasing functions, tangents and normals, approximation, maxima, and minima are applications of derivatives (the first derivative test is motivated geometrically, and the second derivative test is given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject and real-life situations). Standard and Tangent

*3. Three Applications of Integrals*

Topics: Applications for determining the area under simple curves, including lines, arcs of circles/parabolas/ellipses (in standard form only), and the area between the two aforementioned curves (the region should be identifiable).

Check: **CUET 2023 Mock Tests**

**Unit IV: Vectors and three-dimensional Geometry**

*1. Vectors*

Topics: Vectors and scalars, vector magnitude and direction, Vector direction cosines and ratios. Vector types (equal, unit, zero, parallel, and collinear vectors), the position vector of a point, the negative of a vector, the components of a vector, the addition of vectors, the multiplication of a vector by a scalar, and the position vector of a point splitting a line segment in a certain ratio. Scalar product of vectors, vector projection onto a line. Vector (cross) product and vector triple product.

*2. The study of three-dimensional geometry*

Topics: Cosines and ratios of the direction of a line joining two locations. Cartesian and vector line equations, coplanar and skew lines, and the shortest distance between two lines. A plane's Cartesian and vector equations. The angle between two lines, planes, or a line and a plane. The distance between a point and a plane.

**UNIT V: Linear Programming**

Topics: Introduction, terminology such as constraints, objective function, and optimization, various types of linear programming (L.P.) problems, mathematical formulation of L.P. problems, graphical method of solution for two-variable problems, feasible and infeasible regions, feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints).

Check: **CUET Coaching 2023**

**Unit VI: Probability**

Topics: Multiplications in theorem regarding probability. Baye's theorem, conditional probability, independent events, and total probability. Random variable, its probability distribution, and its mean and standard deviation. Repeated independent trials (Bernoulli) and the Binomial distribution.

These are the units available for applied mathematics:

** Unit I: Numbers, Quantity, and Numerical Applications**

*1. Modulo Arithmetic *

Topics:

- Define the modulus of an integer
- Use modular arithmetic rules to perform arithmetic operations

*2. Congruence Modulo*

Topics:

- Define congruence modulo
- Apply the definition to several problems

*3. Allegation and Combination*

Topics:

- Determine the mean price of a mixture
- Comprehend the rule of allegation for producing a mixture at a particular price
- Apply the rule stated in the accusation

*4. Numerical Problems*

Topics:

- Solve mathematically real-world problems

*5. Boats and Streams *

Topics:

- Differentiate between upstream and downstream
- Write the problem as an equation

*6. Pipes and cisterns*

Topics: Calculate the time required for two or more pipes to fill or drain.

*7. Contests and sports*

Topics: Compare the performance of two players in terms of time, distance travelled, and work accomplished using the provided data.

*8. Partnership *

Topics:

- Distinguish between an active partner and a sleeping partner
- Calculate the gain or loss to be distributed among the partners based on the proportion of each partner's investment to the total investment
- evaluation of time/volume/surface area for solids created by combining two or more shapes

*9. Numerical Inequalities*

Topics:

- Describe the fundamental ideas of numerical inequalities
- Understand numerical inequalities and write them

Check: **CUET Syllabus for General Test**

**Unit II: Algebra**

These are the topics under Unit II:

*1. Types of matrices and matrices*

Topics:

- Define matrix
- Recognize many types of matrices

*2. Equivalence of matrices Matrix transpose, symmetric and skew-symmetric matrix*

Topics:

- Determine the equivalence of two matrices
- Write transpose of a given matrix
- Define symmetric and skewsymmetric matrix

**Unit III: Calibration **

These are the topics under Unit II:

*1. Higher Order Derivatives*

Topics:

- Calculate second and higher-order derivatives
- Understand the differentiation of parametric functions and implicit functions Identify dependent and independent variables

*2. Marginal Revenue and Marginal Cost Using Derivatives*

Topics:

- Determine marginal cost and revenue
- Find marginal cost and marginal revenue

*3. Maxima and minima*

Topics:

- Determine critical points of the function
- Find the point(s) of local maxima and local minima and the accompanying local maximum and local minimum values
- Determine the absolute maximum and absolute minimum value of a function

Check: **Domain Subjects in CUET**

**Unit IV: Probability Distributions**

*1. Probability Distribution*

Topics:

- Understand the idea of Random Variables and their Probability Distributions
- Find the probability distribution of the discrete random variable

*2. Mathematical Expectation*

Topics:

Use the arithmetic mean of the frequency distribution to determine the anticipated value of a random variable

*3. Variance*

Topics:

Calculate the Variance and Standard Deviation of a random variable

**UNIT V: Index Numbers and Time-Based Data**

*1. Index Numbers*

Topics: Define Index numbers as a special type of average

*2. Development of index numbers*

Topics: Create various types of index numbers

*3. Test of Index Numbers' Adequacy *

Topics: Apply the time reversal test

**UNIT VI: Population and Statistics**

*1. Population and Sample*

Topics:

- Define Population and Sample
- Differentiate between population and sample
- Define a representative sample from a population

*2. Parameters and statistics, as well as Statistical Interferences*

Topics:

- Define the Parameter of the Population
- Define Statistics about the Sample
- Explain the relationship between Parameters and Statistics
- Explain the limitation of Statistics to generalize the estimation of the Population
- Interpret the concept of Statistical Significance and Statistical Inferences
- State the Central Limit Theorem
- Explain the relationship between Population, Sampling Distribution, and Sample.

Check: **NTA CUET Preparation Books 2023**

**UNIT VII: Index Numbers and Time-Based Data**

*1. A.Time Series*

Topics: Determine that time series are chronological data

*2. Components of Time Series*

Topics: Differentiate between distinct time series components

*3. Time Series analysis for univariate data*

Topics: Solve practical problems based on statistical data and Interpret

Check: **CUET Sociology Syllabus**

**UNIT VIII: Financial Mathematics**

*1. Endowment and Sinking Funds*

Topics:

- Define perpetuity and sinking fund
- Calculate perpetuity
- Distinguish between sinking fund and savings account.

*2. Bond Valuation*

Topics:

- Define the idea of bond valuation and related concepts
- Determine the bond's value using the present value method

*3. EMI Calculation*

Topics:

- Describe the notion of electromagnetic interference (EMI)
- Calculate EMI using various ways

*4. Linear Depreciation Method*

Topics:

- Define the idea of linear depreciation
- Interpret the cost, residual value, and usable life of an item based on the facts provided
- Calculate depreciation

**UNIT IX: Linear Programming**

*1. Introduction and pertinent terms*

Topics: Acquaint oneself with terms associated with Linear Programming Problem

*2. B.Mathematicalformulation of Linear Programming Problem*

Topics: Formulate Linear Programming Problem

*3. Different Linear Programming Problem Types*

Topics: Identify and develop various LPP kinds

*4. Graphical Solution Method for Two-Variable Problems*

Topics: Draw the graph for a system of linear inequalities involving two variables and graphically determine its solution

Check: **CUET Economics Syllabus**

*5. Feasible and Infeasible Regions*

Topics: Identify feasible, infeasible, and bounded regions

*6. Feasible and impractical solutions, optimum feasible solution*

Topics:

- Recognize feasible and impractical options
- Identify the optimal feasible solution

Note: You do not have to focus on Mathematics if the UG program you applied to has no Mathematics syllabus to it.

Due to the extensive amount of practice required, mathematics is widely regarded as the most challenging topic among all the subjects. You cannot become an expert in the subject unless you frequently practice problems from the syllabus.

For this, it is necessary to have complete knowledge of the subjects to be covered in the curriculum. The preceding part of this article has offered a detailed summary of the curriculum. Make sure, you practice several mocks and solve previous year's papers to study at top universities across the country.

Frequently Asked Questions

What are some of the options available to me if I opt for Mathematics?

The CUET Exam is open to candidates for the following courses: Integrated Bachelor of Science and Master of Science in Mathematics, Integrated Bachelor of Science and Bachelor of Education in Mathematics, and Integrated Master of Science in Mathematics.

How many universities provide mathematics programs that students may take that will count toward their CUET exam in 2023?

It is expected that many more universities will accept CUET as their admission process; since we have the list of CUET 2023 participating colleges, we can determine the mathematics programs offered.

I need to enhance my accuracy when responding to the questions for the CUET Exam 2023. What can I do?

Candidates are required to practice a wide range of topics, with at least 100-200 questions coming from each area. Your response times and accuracy will both improve with consistent practice and revision of the material.

How exactly can I get started with my preparation for the CUET Exam 2023?

You must thoroughly read the official announcement and check through the exam pattern and the syllabus for each topic they choose to study. Prioritize the topics of importance, understand the basics and start practising problems from the topics.

What should I practise under Probability?

Solve problems from Baye's theorem, conditional probability, independent events, and total probability. Random variable, and Binomial distribution.