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The KCET Mathematics syllabus plays a crucial role in shaping your performance in the Karnataka Common Entrance Test (KCET) 2025. The syllabus is in line with the Karnataka State Board curriculum and is intended to evaluate your comprehension of important mathematical ideas from both the first and second PUCs.
Effective preparation requires a thorough understanding of the subjects covered in the KCET Maths syllabus, regardless of your career goals—engineering, architecture, or other professional courses. We'll break down the entire curriculum, emphasise the importance of each topic, and offer helpful study advice in this guide to help you do well in the math portion.
KCET Mathematics Syllabus 2024 – PUC I Topics
The KCET Mathematics syllabus for 2024 includes core topics from the first PUC curriculum, with a focus on fundamental concepts required for the entrance exam. These topics are critical to developing a solid mathematical foundation for ambitious engineering students.
|
Chapter |
Key Topics |
|
Sets |
Concept of sets, representation, null set, finite & infinite sets, equal sets, subsets, power set, universal set, Venn diagrams, set operations, practical problems involving union & intersection |
|
Relations and Functions |
Ordered pairs, Cartesian product, types of relations, functions and their types, graphical representation |
|
Trigonometric Functions |
Angle measurement, definitions of trigonometric functions, identities, functions of angle sum & difference, solving trigonometric equations |
|
Mathematical Induction |
Motivation, principle of mathematical induction, application-based examples |
|
Complex Numbers & Quadratic Equations |
Definition, operations on complex numbers, solving quadratic equations in complex domain |
|
Linear Inequalities |
Algebraic and graphical solutions of inequalities in one and two variables, solution of systems of inequalities |
|
Permutations and Combinations |
Counting principles, permutations, combinations, real-life applications |
|
Probability |
Random experiments, sample space, events, basic probability concepts |
|
Statistics |
Measures of dispersion, range, mean deviation, variance, standard deviation |
|
Mathematical Reasoning |
Statements, logical connectives, truth values, converse & contrapositive |
|
Straight Lines |
Concept of slope, conditions for parallelism & perpendicularity, angle between lines, collinearity, various line equations, general form, distance from point to line |
|
Sequences and Series |
Definition of sequences, series, arithmetic progression (AP), geometric progression (GP), relation between AM and GM |
KCET Mathematics Syllabus 2024 – PUC II Topics
The KCET Mathematics syllabus for 2024 comprises advanced topics from the second PUC program, with an emphasis on complicated concepts required for the admission exam. For ambitious engineering students, these areas are critical for developing a solid mathematical foundation.
|
Chapter |
Key Topics |
|
Relations and Functions |
Types of relations, types of functions, domain & range, binary operations |
|
Inverse Trigonometric Functions |
Definitions, properties, principal values |
|
Matrices |
Types of matrices, operations (addition, multiplication), transpose, symmetric & skew-symmetric matrices, invertibility |
|
Determinants |
Properties of determinants, area of triangle, minors, cofactors, adjoint, inverse, applications |
|
Continuity and Differentiability |
Definition of continuity and differentiability, rules of differentiation, chain rule, logarithmic and parametric differentiation, second derivative |
|
Application of Derivatives |
Rate of change, increasing/decreasing functions, tangents & normals, maxima & minima |
|
Integrals |
Integration techniques (substitution, partial fractions, by parts), definite integrals, properties and applications, Fundamental Theorem of Calculus |
|
Differential Equations |
General and particular solutions, formation and solution of first-order, first-degree differential equations |
|
Vector Algebra |
Concepts of vectors, types, vector addition, scalar multiplication, dot and cross product |
|
Three-Dimensional Geometry |
Direction cosines & ratios, line and plane equations, shortest distance between lines, coplanarity, distance from a point to a plane |
|
Linear Programming |
Introduction to linear programming, formulation of LPP, types of problems |
|
Probability |
Conditional probability, multiplication rule, independence of events, Bayes’ theorem |
Relevant Links:
KCET Maths Chapter Weightage (Expected)
Understanding the chapter-specific weightage is critical for effective preparation. While the KCET exam design varies significantly from year to year, certain chapters are routinely given more weight due to their conceptual complexity and application in problem solving. Based on recent trends, the projected chapter-wise weightage for KCET Mathematics is as follows:
|
Weightage Level |
Chapters |
|
High-Weightage |
- Matrices and Determinants - Continuity and Differentiability - Application of Derivatives - Integrals - Differential Equations - Probability - Vectors and 3D Geometry |
|
Moderate-Weightage |
- Relations and Functions - Inverse Trigonometric Functions - Algebra (Quadratic Equations, Complex Numbers, Binomial Theorem) - Linear Programming - Statistics |
|
Low-Weightage |
- Sets, Relations & Functions (Basic) - Mathematical Reasoning - Complex Numbers and Quadratic Equations (basic concepts) - Trigonometric Functions - Principle of Mathematical Induction |
KCET Mathematics Chapter-wise Weightage
Understanding the chapter weightage for KCET Mathematics allows you to prioritise crucial topics and efficiently organise your study time. Based on previous exam trends, below is a list of chapters and their projected relevance.
|
Chapter |
PUC Level |
Approx. Weightage |
|
Permutations & Combinations |
1st PUC |
9% |
|
Complex Numbers |
1st PUC |
9% |
|
Binomial Theorem |
1st PUC |
8% |
|
Sets and Relations |
1st PUC |
8% |
|
Matrices |
2nd PUC |
9% |
|
Applications of Integrals |
2nd PUC |
8% |
|
Inverse Trigonometric Functions |
2nd PUC |
8% |
Best Books for KCET Maths Preparation
Choosing the right materials is critical for mastering the KCET Maths course and practicing effectively. The list below includes reputable textbooks and reference guides recommended by experts to help you prepare successfully.
|
Book Title |
Author / Publisher |
|
NCERT Mathematics Textbooks (Class 11 & 12) |
NCERT |
|
Karnataka PUC Mathematics Textbooks (Part 1 & 2) |
Karnataka Pre-University Board |
|
Mathematics for Karnataka CET & COMED-K |
Basavaraj V. Pawar (BASE) |
|
KCET Explorer – Mathematics |
MTG Editorial Team |
|
Cengage Mathematics for KCET & COMEDK |
G. Tewani, Cengage Learning |
|
KCET Chapterwise Solutions – Mathematics |
Arihant Experts |
|
Previous Years’ KCET Question Papers |
Various Publishers |
|
Mock Tests & Online Platforms (Unacademy, Vedantu, etc.) |
Various Online Learning Portals |
The goal of KCET math is to assess practice and consistency, not brilliance. Due to their perseverance and meticulous approach, I have witnessed typical pupils achieve exceptional results. When you tackle the syllabus one topic at a time, it becomes manageable even though it presently appears enormous.
