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Updated By Ritoprasad Kundu on 15 Dec, 2025 10:35
Get COMEDK UGET Sample Papers For Free
The COMEDK 2026 syllabus will be published along with the official notification brochure on comedk.org. The COMEDK UGET Mathematics 2026 Syllabus is very helpful for students who want to get into engineering courses in Karnataka. It covers important topics from Class 11 and Class 12, like Algebra, Calculus, Trigonometry, and Geometry. By preparing well with this syllabus, students can do better in the exam. Check the full syllabus here on this page.
The COMEDK 2026 syllabus will be published along with the official notification brochure on comedk.org. In the meantime, students can refer to the previous year's COMEDK UGET syllabus PDF.
| COMEDK UGET 2025 Mathematics Syllabus PDF Download Link |
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It should be noted that in the COMEDK UGET 2026 Mathematics syllabus, approximately 33% of the questions are drawn from Class 11 topics, while the remaining 67% come from the Class 12 syllabus. So students must give more focus on Class 12 syllabus. Find below the topics and sub topics of the whole syllabus. To prepare for the COMEDK 2026 Maths exam, knowing the syllabus properly is the first step to prepare.
Unit | Topic | Subtopics |
|---|---|---|
Unit-I: Sets and Functions | Sets | Sets and their representations, Empty set, Finite and Infinite sets, Equal sets, Subsets, Subsets of a set of real numbers (intervals), Universal set, Venn diagrams, Union and Intersection of sets, Difference of sets, Complement, Properties of Complement. |
Relations & Functions | Ordered pairs, Cartesian product of sets, Number of elements in Cartesian product, Cartesian product of reals, Definition of relation, pictorial diagrams, domain, co-domain, range, Function as a special type of relation, Real-valued functions and their types (constant, identity, polynomial, etc.), Sum, difference, product, and quotients of functions. | |
Unit-I: Functions | Trigonometric Functions | Positive and negative angles, Measuring angles in radians/degrees, Conversion, Trigonometric functions via unit circle, Identity sin²x + cos²x = 1, Signs of trigonometric functions, Domain/range of trigonometric functions, Graphs, Expressing sin(x±y), cos(x±y), Deduction of trigonometric identities. |
Unit-II: Algebra | Complex Numbers & Quadratic Equations | Need for complex numbers (√−1), Solving quadratic equations, Algebraic properties of complex numbers, Argand plane. |
Linear Inequalities | Linear inequalities, Algebraic solutions in one variable, Representation on the number line. | |
Permutations & Combinations | Fundamental principle of counting, Factorial n (n!), Permutations and combinations, Derivation of nPr and nCr, Simple applications. | |
Binomial Theorem | Historical perspective, Binomial theorem for positive integral indices, Pascal’s triangle, Simple applications. | |
Sequence and Series | Arithmetic Mean (A.M.), Geometric Progression (G.P.), General term, Sum of n terms of a G.P., Infinite G.P. and sum, Geometric mean (G.M.), Relationship between A.M. and G.M. | |
Unit-III: Coordinate Geometry | Straight Lines | Review of 2D geometry, Slope of a line, Angle between two lines, Equations of a line (various forms), Distance of a point from a line. |
Conic Sections | Circles, Ellipse, Parabola, Hyperbola, Standard equations and properties, Degenerated cases (point, line, pair of intersecting lines). | |
Introduction to 3D Geometry | Coordinate axes, Coordinate planes, Coordinates of a point, Distance between two points in three dimensions. | |
Unit-IV: Calculus | Limits and Derivatives | Concept of Derivatives (rate of change), Limits (polynomials, rational, trigonometric, exponential, and logarithmic functions), Derivatives (sum, difference, product, quotient, and trigonometric functions). |
Unit-V: Statistics and Probability | Statistics | Measures of Dispersion: Range, Mean deviation, Variance, Standard deviation for ungrouped/grouped data. |
Probability | Events, Occurrence of events, 'Not', 'And', 'Or' events, Exhaustive events, Mutually exclusive events, Set-theoretic probability, Probability of events ('not', 'and', 'or'). |
Unit | Topic | Subtopics |
|---|---|---|
Unit-I: Relations and Functions | Relations and Functions | Types of relations: reflexive, symmetric, transitive, equivalence relations. One to one and onto functions. |
Inverse Trigonometric Functions | Definition, range, domain, principal value branch. Graphs of inverse trigonometric functions. | |
Unit-II: Algebra | Matrices | Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose, symmetric and skew symmetric matrices, Operations: addition, multiplication, scalar multiplication. Invertible matrices, uniqueness of inverse, non commutativity of multiplication. |
Determinants | Determinant of square matrices (up to 3 x 3), minors, co-factors, application in finding area of a triangle, Adjoint and inverse, Consistency and solving system of linear equations (2-3 variables). | |
Unit-III: Calculus | Continuity and Differentiability | Continuity, differentiability, chain rule, derivatives of inverse trigonometric functions, exponential and logarithmic functions, implicit functions, parametric functions, logarithmic differentiation, second-order derivatives. |
Applications of Derivatives | Rate of change of quantities, increasing/decreasing functions, maxima and minima, first and second derivative tests, simple problems involving real-life situations. | |
Integrals | Integration as the inverse process of differentiation, techniques: substitution, partial fractions, by parts, simple integrals. | |
Applications of Integrals | Finding areas under curves (lines, circles, parabolas, ellipses). | |
Differential Equations | Definition, order, degree, general and particular solutions, method of separation of variables, homogeneous differential equations, linear differential equations. | |
Unit-IV: Vectors and Three-Dimensional Geometry | Vectors | Vectors and scalars, magnitude and direction, direction cosines and ratios, types of vectors, position vector, components, vector addition, scalar multiplication, scalar (dot) and vector (cross) products, applications. |
Three-Dimensional Geometry | Direction cosines and ratios, Cartesian and vector equations of a line, skew lines, shortest distance between two lines, angle between two lines. | |
Unit-V: Linear Programming | Linear Programming | Introduction, constraints, objective function, optimization, graphical solution for two variables, feasible/infeasible regions, optimal solutions (up to three constraints). |
Unit-VI: Probability | Probability | Conditional probability, multiplication theorem, independent events, total probability, Bayes’ theorem, random variable, probability distribution, mean of a random variable. |
Here is the table with the important topics from the from the Class XI Mathematics syllabus:
Unit | Topic | Important Subtopics |
|---|---|---|
Unit-I: Sets and Functions | Sets | Representation of sets, Union, Intersection, Difference, and Complement of sets, Venn diagrams, Properties of complements |
Relations & Functions | Domain, Co-domain, Range, Cartesian product of sets, Real-valued functions and operations (Sum, Difference, Product, Quotient) | |
Trigonometric Functions | Conversion between radians and degrees, Basic trigonometric identities (sin²x + cos²x = 1), Domain/Range of trigonometric functions, Sum/Difference formulas | |
Unit-II: Algebra | Complex Numbers & Quadratic Equations | Solving quadratic equations using complex numbers, Argand plane representation of complex numbers |
Permutations & Combinations | Fundamental principle of counting, Derivation and applications of nPr and nCr formulas | |
Binomial Theorem | Binomial expansion for positive integral indices, Pascal’s triangle, Simple applications | |
Sequence and Series | Arithmetic Mean (A.M.), Geometric Progression (G.P.), Sum of n terms of a G.P., Relationship between A.M. and G.M. | |
Unit-III: Coordinate Geometry | Straight Lines | Slope of a line, Angle between two lines, Various forms of line equations, Distance of a point from a line |
Conic Sections | Standard equations and properties of circles, parabolas, ellipses, and hyperbolas | |
Unit-IV: Calculus | Limits and Derivatives | Basic concepts of limits and derivatives, Limits of polynomials, rational, trigonometric, and logarithmic functions, Derivatives of basic functions |
Unit-V: Statistics & Probability | Statistics | Measures of Dispersion: Variance, Standard Deviation |
Probability | Basic probability concepts, Mutually exclusive events, Set-theoretic probability, Probability of 'not', 'and', 'or' events |
Here is the table highlighting the important topics from the Class XII Mathematics syllabus. These topics are generally considered significant and are frequently asked in the COMEDK UGET exam from the Class XII Maths syllabus.
Unit | Topic | Important Subtopics |
|---|---|---|
Unit-I: Relations and Functions | Relations and Functions | Types of relations (reflexive, symmetric, transitive, equivalence), One to one and onto functions |
Inverse Trigonometric Functions | Domain, range, and principal value branches of inverse trigonometric functions, Graphs of inverse trigonometric functions | |
Unit-II: Algebra | Matrices | Types of matrices (zero, identity, symmetric, skew-symmetric), Operations on matrices (addition, multiplication, scalar multiplication), Invertible matrices, Uniqueness of inverse matrix |
Determinants | Determinants of matrices (up to 3x3), Minors, co-factors, Adjoint, Inverse, Solving systems of linear equations using determinants | |
Unit-III: Calculus | Continuity and Differentiability | Continuity and differentiability, Chain rule, Derivatives of inverse trigonometric, exponential, and logarithmic functions, Second-order derivatives |
Applications of Derivatives | Rate of change, Increasing/decreasing functions, Maxima and minima (using first and second derivative tests), Real-life applications | |
Integrals | Integration techniques (substitution, partial fractions, by parts), Simple integrals | |
Applications of Integrals | Area under curves (lines, circles, parabolas, ellipses) | |
Differential Equations | General and particular solutions, Method of separation of variables, Solving homogeneous and linear differential equations | |
Unit-IV: Vectors & Three-Dimensional Geometry | Vectors | Magnitude and direction, Direction cosines and direction ratios, Scalar (dot) and vector (cross) products |
Three-Dimensional Geometry | Cartesian and vector equations of a line, Skew lines, Shortest distance between two lines, Angle between two lines | |
Unit-V: Linear Programming | Linear Programming | Graphical solutions, Optimization problems with two variables, Feasible/infeasible regions, Optimal solutions |
Unit-VI: Probability | Probability | Conditional probability, Bayes’ theorem, Random variable and probability distribution, Mean of random variable |
Topics like Calculus, including limits, derivatives, integrals, and applications, often carry significant weightage, making it important for scoring well.
Mathematics Topics | Approximate Weightage (%) |
|---|---|
Sets and Functions | 5% |
Trigonometric Functions | 6% |
Mathematical Reasoning | 3% |
Complex Numbers and Quadratic Equations | 6% |
Permutations and Combinations | 5% |
Binomial Theorem | 5% |
Sequences and Series | 6% |
Straight Lines and Conic Sections | 5% |
Matrices and Determinants | 5% |
Continuity and Differentiability | 6% |
Applications of Derivatives | 6% |
Integrals | 7% |
Differential Equations | 5% |
Probability | 6% |
Vectors and 3D Geometry | 6% |
To score well in the COMEDK UGET 2026 Mathematics exam, students can follow these helpful tips and strategies:
Find some useful books recommended by experts in the section below :
Book Title | Author(s) |
|---|---|
Mathematics for Karnataka CET and COMEDK | BASE |
NCERT Textbooks Class 11th and 12th | NCERT |
Algebra Made Easy | K.P. Basu |
Objective Mathematics | R.D. Sharma |
Mathematics for Class 11 & 12 | M.L. Khanna |
Problems in Calculus of One Variable | I.A. Maron |
Maths XI and XII | R.D. Sharma |
Want to know more about COMEDK UGET
While formulas are very important, conceptual understanding and application are equally necessary. Many questions test how well a candidate can apply formulas in practical situations rather than just recall them.
Algebra questions are mostly direct and concept-based, covering matrices, determinants, complex numbers, quadratic equations, sequences and series, and probability. Mastery of formulas and regular practice helps in solving these questions quickly.
Yes, NCERT textbooks of Class 11 and 12 are sufficient for covering the COMEDK UGET Mathematics syllabus. However, candidates should supplement NCERT with practice from previous year question papers and mock tests to improve speed and accuracy.
The syllabus of COMEDK UGET Mathematics is largely similar to JEE Main, but the difficulty level is generally moderate. While the topics overlap, COMEDK focuses more on direct application-based questions rather than lengthy or highly complex numerical problems.
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