The main purpose of the CUET entrance exam is to create a platform providing fair opportunities to all aspirants irrespective of their performance in the class 12 board examination. The National Testing Agency has successfully published the Mathematics syllabus for the CUET entrance examination. Students are required to visit the official website of CUET for more details. The Mathematics syllabus is prepared in a comprehensive manner such that students can get clarity on the important topics that require more practice.
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Candidates who wish to appear for the CUET Mathematics examination have to properly understand and Analyse the syllabus; otherwise, they will face confusion later.
CUET Mathematics Syllabus and Exam Pattern
The Mathematics syllabus is considered the heart of the preparation strategy as without analysing the syllabus properly, students cannot prepare their study plan. Thus possessing good knowledge of the Mathematics syllabus is considered mandatory for all the aspirants.
The CUET Mathematics syllabus is divided into three sections: Section A, Section B1, and Section B2. The topics included in the syllabus have already been covered in the class 12 curriculum. An overview of the syllabus is given below, and interested students are suggested to go through the syllabus carefully to get a clear idea.
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CUET Section A Syllabus
- Algebra- The basic idea of matrices, equality of matrices, symmetric and skew symmetric matrix and finding transpose of a matrix, determinants, inverse of matrix and solving simultaneous equations are included under the algebra section.
- Calculus- First and second-order derivatives, tangents and normals, functions, maxima and minima cover the calculus section.
- Applications of Integrations- Indefinite integrals, definite integrals and application of both definite and indefinite integrals as the area under the curve.
- Differential Equations- Degree and order of differential equations, formulating differential equations and solving them
- Probability distribution- Random variables, the expected value of a random variable, estimating standard deviation and variance of a random variable and binomial distribution are included under probability distribution.
- Linear programming- Formulation of a linear programming problem, graphical method of solution for two variables, identifying the feasible and infeasible regions and finding optimal solutions.
CUET Section B1 Syllabus
Unit I: Relations and Functions
- Relations and functions- Reflexive, transitive, symmetric and equivalence relations, one to one mapping, composite functions and binary operations are included.
- Inverse trigonometric Functions- Finding range, domain, principal value, and constructing graphs of inverse functions are some of the topics included in inverse trigonometric functions.
Unit II: Algebra
- Matrices- Basic concepts of matrices, notation, order of operations, zero matrices and the transpose of a matrix are covered in this chapter. The chapter also includes properties of addition and multiplication of scalar matrices, non-commutativity of matrix multiplication, and row and column operations knowledge.
- Determinants- Important properties of determinants, estimating cofactors and applying properties of determinants in estimating an area of a triangle are included in the first section of the chapter. The second part of the chapter deals with the adjoint and inverse of a square matrix, checking for consistent and inconsistent solutions to linear equations and using the inverse method for solving linear equations in more than two variables.
Unit III: Calculus
- Continuity and Differentiability- The first few sections of the chapter include a derivative of composite functions, the derivative of inverse functions, the application of the chain rule method, and finding the derivative of an implicit function. The latter sections of the chapter include exponential and logarithmic functions, logarithmic differentiation, derivatives of parametric functions, Rolle’s and Lagrange’s Mean Value Theorem and their applications.
- Application of Derivatives- The first part deals with topics like estimating the rate of change of increasing and decreasing functions, concepts about tangents and normals, and maxima and minima functions, including the first and second derivative tests. The latter part of this chapter includes some advanced level problem sums on tangents and normals.
- Integrals- The integration method is considered the inverse of the differentiation method. Integration by substitution and parts are the two different methods of integration that can be applied as per convenience. Primary properties of definite integrals and their applications are also included in this chapter.
- Applications of the Integrals- This chapter includes the application of integrals in estimating the area of circles, ellipses and parabolas.
- Differential Equations- The first part of the differential equations chapter deals with a simple definition, degree and order of equations, and formation of differential equations whose solutions are mentioned. The second part includes the separation of variables method, solving homogeneous differential equations of the first order and finding solutions to linear differential equations.
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Unit IV: Vectors and 3-D Geometry
- Vectors- Magnitude and direction of the vector, direction cosines of the vector, collinearity of vectors, position vector of a point, addition and multiplication of a vector by a scalar are covered in the first section of the chapter. The next section of the chapter includes dot products of vectors, problem sums on the projection of a vector on a straight line, cross products of vectors, and scalar triple products.
- 3-D Geometry- Three-dimensional geometry includes estimating ratios, finding the shortest distance between any two lines, forming cartesian and vector equations of a line, and estimating the angle between two lines, planes, and between a line and a plane.
Unit V: Linear Programming
The first section of Linear programming includes optimization techniques, formulating linear programming problems mathematically, and applying graphical methods for finding solutions to equations with two variables. The second section includes identifying the feasible and infeasible solutions and finding optimal solutions upto three non-trivial constraints.
Unit VI: Probability
The first part of the chapter includes the multiplication theorem on probability, conditional probability theorem, and bayes theorem. The second part of the chapter contains a random variable and its probability distribution, repeated independent trials and binomial distribution. The third part of the chapter deals with problem sums which require the knowledge of the first two parts of the chapter.
CUET Section B2 Syllabus
Unit I: Quantification and their Applications
- Modulo Arithmetic
- Congruence Modulo
- Mixture and alligation
- Numerical problem sums
- Boats and streams
- Pipes and cisterns
- Races and games
- Partnership
- Inequalities
Unit II: Algebra
- Matrices
- Transpose of a matrix, symmetric and skew-symmetric matrix
Unit III: Calculus
- Higher-order derivatives
- Marginal Cost and Marginal revenue
- Maxima and minima
Unit IV: Probability distributions
- Probability distribution
- Mathematical distribution
- Variance
Unit V: Index numbers and time-based data
- Index numbers
- Construction of index numbers
- Application of time-reversal test
Unit VI: Probability
- Population and sample
- Parameter and statistics and statistical inferences
Unit VII: Time series
- Components of time series
- Using time series analysis for univariate data
Unit VIII: Financial Mathematics
- Perpetuity, sinking funds
- Bond valuation methods
- Estimating EMI
- Calculating depreciation through a linear method
Unit IX: Linear programming
- Introduction
- Steps to form linear programming problems
- Distinguishing between different types of linear programming problems
- Graphical method for finding solutions
- Shading feasible, bounded and infeasible regions
CUET Exam pattern
| Particulars | Details |
| Name of the examination | CUET |
| Medium of Instruction | 13 languages including English, Hindi, Telugu, Gujarati, Punjabi, Tamil, Urdu, Kannada, Bengali, Odia, Marathi and Malayalam |
| Total number of questions in mathematics | 85 |
| Number of questions required to be attempted | 65 |
| Total weightage | 325 |
| Type of questions | Multiple choice based |
| Number of sections | 3 |
| Total duration | 45 minutes |
| Mode | Computer based test |
| Conducted | Once a year |
| Negative marks allotted | Yes |
| Marking scheme | Correct answer – 5 marks allotted
Incorrect answer- 1 mark deducted Unanswered questions- no marks are allotted or deducted |
FAQs on CUET Maths Syllabus
1. Why should the students analyse the CUET syllabus very carefully before starting their preparation?
Aspirants are suggested to go through the CUET Syllabus to understand the topics carefully. Students should then formulate a timetable and allot separate times for each topic depending on its weightage and difficulty level. If the students are not aware of the syllabus, then they will not be able to begin their preparation. Students should divide the huge syllabus into separate sections and deal with the sections one by one; otherwise, the student will become confused.
2. Is the CUET Mathematics exam difficult to clear?
The Mathematics syllabus is huge, and it requires a lot of practice on the part of the students. Unlike the other subjects, Mathematics cannot be grasped at the last moment. Students require ample time to learn the formulas and apply them while solving the problem sums. Mathematics exam is not very difficult to clear for a student if the student is sincere enough to practise maths every day for at least 2 hours. However, if the students are casual and lazy and do not regularly practise maths, they will get nervous during the exam and make silly mistakes. As a result of these silly mistakes, they will not be able to score good marks.
3. What tips should be given to the students for CUET Mathematics exam preparation?
Regular practice is considered to be the most effective way of scoring well. Students should note down the important formulas and practise the problem sums regularly to boost their confidence. It is very difficult for the students to remember all the formulas, so they should prepare a chart that includes all the important formulas. Students should practise the primary concepts they have learned at the beginning of the session. Students who have their basic concepts clear can easily learn the advanced concepts and apply them whenever necessary.
Moreover, students should invest time in understanding the logic behind the solved derivations; otherwise, they will not be able to derive the steps independently. The possibility of doubts is also high. Students should get their doubts cleared on some particular topics from the experts to score well in the exam.
4. How many attempts are given to the students during a year for the CUET?
According to the National Testing Agency guidelines, students can attempt the exam only once a year. No restriction is imposed upon the students based on their age or class 12 marks to appear in the exam. Students who fail to pass the CUET entrance test in the first attempt have to wait for their second attempt in the next year. However, it is expected that from 2023 onwards, the NTA will conduct the entrance exam more than once during the year for the benefit of the students.
5. Why should the students solve the mock test maths papers or the previous year’s mathematics questions?
Students should download the previous year’s questions from the official website of the National Testing Agency and analyse the important topics. Solving the previous year’s questions will provide a rough idea to the students regarding the importance of some topics compared to the other topics. Students will become familiar with the exam pattern and will be able to improve their speed. After completing their preparation, students are advised to attempt the CUET Mock tests , which will help them identify their strengths and weaknesses. Self-evaluation is very important as it helps students boost their confidence and determination.
Conclusion
Mathematics is considered the most difficult subject among all the other subjects as it requires a lot of practice. A candidate cannot become a master of mathematics until the candidate practises the topics regularly. To practice the problem sums, the candidate needs to be aware of the topics written in the syllabus. The above section has provided a comprehensive overview of the syllabus and the exam pattern. Interested students should carefully go through the syllabus and practice the topics regularly as the practice is considered the key to success.
