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CEE has not yet released the KEAM Mathematics syllabus 2026 on its official website: cee.kerala.gov.in. However, until the KEAM Mathematics syllabus 2026 PDF is released by CEE, candidates can refer to the KEAM exam syllabus from the previous session to prepare.
- The KEAM Mathematics syllabus includes topics from algebra, calculus, and geometry, such as complex numbers, matrices, sequences and series, differentiation, integrals, and 3D geometry.
- The KEAM Mathematics syllabus is based on the Class 11 and 12 curriculum.
- The KEAM Mathematics syllabus 2026 is entirely focused on the development of problem-solving skills and a good understanding of the concepts in the main areas of mathematics.
Some important topics of the KEAM Mathematics Syllabus 2026:
Algebra
- Complex Numbers
- Quadratic Equations
- Linear Inequations
- Matrices and Determinants
- Permutations, Combinations, and Binomial Theorem
- Sequences and Series
- Sets, Relations, and Functions
- Mathematical Logic and Boolean Algebra
Calculus
- Functions, Limits, and Continuity
- Differentiation and Applications of Derivatives
- Indefinite and Definite Integrals
- Differential Equations
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Key Summary
- The KEAM Mathematics syllabus 2026 is aligned with the subjects of Class 11 and 12 NCERT/SCERT Kerala, which incorporates Algebra, Calculus, Trigonometry, Geometry, Statistics, and Linear Programming.
- It evaluates the understanding of concepts, the ability to analyse, and the skill of numerical problem-solving, which are all very important for entrance engineering exams.
- Calculus and Geometry are the subjects with the highest weightage, whereas Algebra and Trigonometry are viewed as having moderate importance.
- The Mathematics section includes 75 multiple-choice questions worth 300 marks, with +4 for each correct and −1 for each incorrect answer.
- Recommended books include NCERT Mathematics, R.D. Sharma for complete coverage of the KEAM Mathematics syllabus 2026.
What is the KEAM 2026 Mathematics Syllabus?
The KEAM Mathematics syllabus 2026 is all about the basics of Classes 11 and 12, putting focus on the areas that will prepare students well for engineering studies.
- Algebra is another main topic where great attention is on logical and analytical skills through equations, functions, and series.
- Mastering this part is the key to getting a high score in the Mathematics paper of KEAM 2026.
The table below provides a detailed overview of the KEAM Mathematics syllabus 2026, highlighting all the important topics included in the exam.
| Unit No. | Unit Name | Key Topics Covered |
|---|---|---|
| Unit 1 | Algebra | Sets, Relations, and Functions: Sets and their types, subsets, universal set, Venn diagrams, operations on sets, ordered pairs, Cartesian product, relations (reflexive, symmetric, transitive, equivalence), functions (into, onto, one-one, invertible), domain, co-domain, range, composition of functions. Complex Numbers: Real and imaginary parts, conjugate, modulus, Argand diagram, representation in the plane, algebra of complex numbers. Sequences and Series: Geometric progression, first term, common ratio, nth term, sum to n terms, geometric mean, relation between AM and GM. Permutations, Combinations, and Binomial Theorem: Counting principle, factorial notation, permutation and combination formulas, applications, binomial theorem for positive integers, general and middle terms, properties of binomial coefficients. Matrices and Determinants: Types and operations on matrices, equality, addition, multiplication, transpose, adjoint, inverse, minors, cofactors, determinant of square matrices (up to 3×3), area of triangle, solving linear equations using inverse matrix, consistency and inconsistency. Linear Inequalities: Solutions and graphical representation of inequalities in one variable and systems of inequalities. |
| Unit 2 | Geometry | Lines: Cartesian coordinates, distance formula, slope of line, parallel and perpendicular lines, equations of line (slope-intercept, point-slope, intercept, normal, general form), intersection, concurrency, angle between lines, distance of a point from a line. Conic Sections: Circles, parabola, ellipse, hyperbola -standard equations and properties. Vectors: Definition, magnitude, direction, types (unit, zero, equal), position vectors, components, addition, scalar and vector multiplication, projection, section formula, applications in geometry, dot and cross products. Three-Dimensional Geometry: Coordinate planes, distance between points, section formula, direction cosines and ratios, angle between lines, Cartesian and vector equations of a line, coplanar and skew lines, shortest distance, condition for intersection. |
| Unit 3 | Trigonometry | Trigonometric functions and inverse functions; degree and radian measure; relation between them; definition using unit circle; periodicity and properties of trigonometric functions; principal values of inverse trigonometric functions. |
| Unit 4 | Statistics and Probability | Statistics: Mean deviation, variance, and standard deviation for grouped and ungrouped data. Probability: Random experiments, sample space, events and their types (sure, impossible, exhaustive, mutually exclusive), algebra of events, equally likely outcomes, theorems on probability (addition and multiplication), independent events, conditional probability, Bayes’ theorem, finding P(A or B), P(A and B). |
| Unit 5 | Calculus | Functions, Limits, and Continuity: Real functions, domain and range, modulus, signum, greatest integer functions, trigonometric and inverse trigonometric functions, graphs, composite and inverse functions, limit and continuity (including polynomial, trigonometric, exponential, and logarithmic functions). Differentiation: Concept and significance, derivatives of polynomial, trigonometric, exponential, logarithmic, and inverse trigonometric functions, derivatives by chain rule, product, quotient, and sum, logarithmic differentiation, parametric and implicit functions, second-order derivatives. Applications of Derivatives: Rate of change, increasing/decreasing functions, maxima and minima, greatest and least values. Integrals: Indefinite integrals (as inverse of differentiation), methods of integration, substitution, integration by parts, integrals of algebraic, trigonometric, exponential, and logarithmic functions. Definite Integrals: Fundamental theorem (without proof), evaluation by substitution, area under curves, area between lines and conics (circle, parabola, ellipse). Differential Equations: Order, degree, general and particular solutions, separation of variables, homogeneous equations of first order. Linear Programming: Introduction, objective function, constraints, optimization, types of problems, graphical method (two variables), feasible/infeasible regions and solutions, optimal solutions (up to 3 constraints). |
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Ques. When should I apply for KEAM 2026?
Ans. To apply for KEAM 2026, you must submit your application during the registration period, which is likely to be February to March 2026. The official application window will likely open in February, with a deadline for fee payment and certificate uploads also in March 2026. It is crucial to keep an eye on the official Commissioner for Entrance Examinations (CEE) website for the exact dates once they are announced.
Ques. What are the most important chapters in maths for KEAM?
Ans. For KEAM, the most significant parts of mathematics are Calculus, Algebra, and Coordinate Geometry. These fields contain the major topics of Differential and Integral Calculus, Matrices and Determinants, and 3D Geometry. The other areas with high weightage to put the focus on are Complex Numbers, Quadratic Equations, and Vectors.
KEAM 2026 Mathematics Chapter-Wise Weightage
By knowing the distribution of questions per chapter, students are able to organise their studies wisely. The table below shows the chapter-wise weightage for the KEAM Mathematics syllabus 2026, reflecting the latest examination trends.
Check:
High Weightage Chapter
| Chapter | Expected Questions |
|---|---|
| Differential Calculus | 15 -20 |
| Integral Calculus | 10 -15 |
| Two-Dimensional Geometry | 13 -15 |
| Trigonometry | 7 -10 |
| Complex Numbers | 7 -8 |
| Three-Dimensional Geometry | 7 -8 |
| Vectors | 7 -8 |
Moderate Weightage Chapter
| Chapter | Expected Questions |
|---|---|
| Sets, Relations, Functions & Binary Operations | 6 -9 |
| Sequence and Series | 6 -7 |
| Permutations, Combinations & Binomial Theorem | 6 -7 |
| Matrices and Determinants | 5 -6 |
| Probability | 5 -6 |
| Differential Equations | 3 -4 |
Low Weightage Chapter
| Chapter | Expected Questions |
|---|---|
| Inequalities, Mathematical Reasoning, Statistics & Linear Programming | 4 -5 |
| Miscellaneous Small Topics (like basic logic, simple applications) | 2 -3 |
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Ques. What is the marking scheme of KEAM 2025?
Ans. The KEAM 2025 marking scheme is such that for each correct answer, +4 marks will be awarded, and for each wrong answer, -1 mark will be deducted. Incorrect answers do not lead to any negative marking, nor well as the unattempted questions. This applies to (B.Tech), a total of 150 questions in Mathematics, Physics, and Chemistry, with a maximum of 600 marks in total. For Pharmacy (B.Pharm), there are 75 questions for a total of 300 marks.
Ques. How to calculate the KEAM score 2025?
Ans. To compute your KEAM score 2025, you are required to combine your normalised entrance exam score and your normalised Class 12 PCM (Physics, Chemistry, Mathematics) board marks, both of which are assigned 50% weightage. The final score is determined by means of the given formula:
Final KEAM Score = (Normalized Entrance Score × 0.5) + (Normalized Class 12 PCM Marks × 0.5).
KEAM 2026 Mathematics Syllabus Books
To prepare well for the KEAM Mathematics syllabus 2026, students are advised to read the books that develop strong conceptual understanding and also give a lot of practice questions.
A list of trustworthy and commonly accepted references is given below.
| Book Title | Author / Publisher |
|---|---|
| NCERT Mathematics Textbooks | NCERT |
| Integral Calculus | A.I. Maron |
| Coordinate Geometry | S.L. Loney |
| Higher Algebra | Hall & Knight |
| Trigonometry | S.L. Loney |
| Differential Calculus | A.I. Maron |
| Problems Plus in IIT Mathematics | A. Das Gupta |
| Mathematics for JEE Main & Advanced | Arihant Publications |
| Complete Mathematics for JEE Main & Advanced | Cengage Learning |
| Objective Mathematics for JEE Main & Advanced | R.D. Sharma |
Ques. Which book is best for KEAM preparation?
Ans. During preparation for KEAM, the primary academic resource to rely on is the NCERT books, which will definitely provide a solid basis in Physics, Chemistry, and Mathematics. Along with these, certain books like RD Sharma for Math, HC Verma's Concepts of Physics for Physics and O.P. Tandon for Organic Chemistry can be added to the list. Additionally, consistently practising with the previous year's question papers is highly recommended.
Ques. How to crack KEAM easily?
Ans. If you want to pass the KEAM exam without any difficulty, then you need to do these things first: get a very deep knowledge of the syllabus, make a strict study timetable, and rely on trustworthy study materials such as NCERT.
Besides, do not neglect practising past year papers and mock tests because they will help you to increase your speed and accuracy, and then give a little more time to your weak points. Revisions should be done regularly, performance should be analysed, and a relaxing and optimistic attitude should be maintained to achieve the best result on the exam day.
KEAM Mathematics Syllabus 2026 FAQs
Ques. How many attempts for KEAM?
Ans. KEAM does not impose any restrictions regarding the number of attempts to be taken. It is all up to the candidates; they can repeat the exam as many times as they want as long as they still satisfy the basic admission requirements, which, for example, include being at least 17 years old by the last day of the year of the intake and having passed the Class 12 examination.
Ques. Is 300 marks good in KEAM?
Ans. A score of 300 out of 600 in the KEAM exam is regarded as an average to below-average score and might be classified as a good score as per the total marks that were provided. Based on the data given, a score of 250+ is considered a low score, while 350+ is the benchmark for an average score. It is nearly impossible to secure a seat in premier engineering institutes for the main branches with 300 marks.
Ques. How many questions are in KEAM Maths?
Ans. The Mathematics portion of the KEAM (Kerala Engineering Architecture Medical) entrance exam for engineering courses consists of 75 questions. These are included in a total of 150 questions for the engineering paper, which also has 45 from Physics and 30 from Chemistry.
Ques. Can I apply for KEAM without maths?
Ans. Generally, it is not possible to apply for KEAM without math, since the majority of engineering programs demand a background in Physics, Chemistry, and Mathematics (PCM). However, you can apply only for specific areas like Pharmacy if your 12th-grade qualification consists of Physics, Chemistry, and Biology (PCB).
Ques. Can PCB students write KEAM?
Ans. Yes, the students who took 12th grade with Physics, Chemistry, and Biology (PCB) can take the KEAM exam, as long as they meet the eligibility criteria, which consist of passing their 10+2 exams with the necessary subjects and attaining the minimum marks. These students will be allowed to take B.Pharm or Biotechnology courses that accept a PCB background, but they won't be allowed to take engineering courses that require Physics, Chemistry, and Mathematics (PCM).
*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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