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Karnataka Board 2nd PUC Maths Syllabus 2025 – Free PDF Download
Karnataka Board 2nd PUC Maths Syllabus 2026- 27: Mathematics is one of the most important subjects in the Karnataka 2nd PUC curriculum, as it helps students strengthen their analytical and problem-solving skills while preparing them for board and competitive examinations. Referring to the latest Karnataka 2nd PUC Maths Syllabus 2026-27 enables students to study the prescribed topics in a systematic manner and focus on concepts that carry weight in the examination. The syllabus covers key chapters such as Inverse Trigonometric Functions, Continuity and Differentiability, Applications of Derivatives, Vectors, Integrals, Probability, and more. Understanding these topics thoroughly helps students build a strong conceptual foundation and perform confidently in the Karnataka 2nd PUC board exams.
Karnataka Board 2nd PUC Maths Syllabus 2026-27
Karnataka Board 2nd PUC Syllabus is the official curriculum prescribed for students appearing in the board examination. It outlines the chapters and topics that need to be covered during the academic session, helping students prepare in a structured manner. By following the latest syllabus, students can strengthen their conceptual understanding, identify important topics, and plan their studies more effectively for the Karnataka 2nd PUC Maths exam.
Stay up-to-date about Karnataka's 2nd PUC exam 2026-27 by reading related articles and staying informed about the latest events.
The Karnataka 2nd PUC Maths Syllabus 2026-27 serves as a useful guide for students to understand the course structure and plan their preparation effectively. Along with the prescribed chapters, students should also practise previous years' question papers, sample questions, MCQs, and mock tests to improve their exam readiness. The direct PDF download link for the latest Karnataka 2nd PUC Maths syllabus is provided below. Students can also find the complete chapter-wise syllabus and the list of deleted topics, making it easier to focus on the updated curriculum for the 2026-27 academic session.
Download Karnataka Board 2nd PUC Maths syllabus 2026-27
The syllabus is a road map for further study because it contains all essential topics. Interested students who want to read the syllabus for classes 9th to 12th can click on the Karnataka State Board Syllabus 2026-27 for Classes 9th to 12th. Karnataka Board 2nd PUC Maths syllabus 2026-27 includes the following chapters.
Refer to the Karnataka PUC Syllabus articles to plan the study schedule and strategy
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Chapters in Karnataka Board 2nd PUC Maths syllabus 2026-27
Karnataka Board 2nd PUC Maths syllabus 2026-27 includes chapters similar to the NCERT Syllabus for Class 12 Maths. Students can command all the topics enumerated in the syllabus to score well in the exam. Karnataka Board 2nd PUC Maths syllabus includes the following chapters.
| Chapter-wise Solution | Important Topics |
| Chapter 1 - Relations and Functions | Types of relations: reflexive, symmetric, transitive and equivalence relations. One-to-one and onto functions |
| Chapter 2 - Inverse Trigonometric Functions | Definition, range, domain, principal value branch. Graphs of inverse trigonometric functions |
| Chapter 3 - Matrices | Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix, symmetric and skew-symmetric matrices. Operation on matrices: Addition and multiplication and multiplication with a scalar. Simple properties of addition, multiplication and scalar multiplication. On commutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (restrict to square matrices of order 2). Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries) |
| Chapter 4 - Determinants | Determinant of a square matrix (up to 3 x 3 matrices), minors, co-factors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency and number of solutions of a system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using the inverse of a matrix. |
| Chapter 5 - Continuity and Differentiability | Continuity and differentiability, chain rule, derivative of inverse trigonometric functions, ???? sin−1 ? , cos−1 ? and tan−1 ?, derivative of implicit functions. Concept of exponential and logarithmic functions. Derivatives of logarithmic and exponential functions. Logarithmic differentiation, derivative of functions expressed in parametric forms. Second-order derivatives |
| Chapter 6 - Application of Derivatives | Applications of derivatives: rate of change of bodies, increasing/decreasing functions, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject as well as real-life situations) |
| Chapter 7 - Integrals | Integration as inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions and by parts, Evaluation of simple integrals of the following types and problems based on them. ∫ dx x 2 ± a 2, ∫ dx √x 2 ± a 2 , ∫ dx √a 2 − x 2 , ∫ dx ax2 + bx + c , ∫ dx √ax2+bx+c ∫ px + q ax2 + bx + c dx, ∫ px + q √ax2+bx + c dx, ∫ √a 2 ± x 2 dx, ∫ √x 2 − a 2 dx ∫√??2 + ?? + ? ??, Fundamental Theorem of Calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals |
| Chapter 8 - Application of Integrals | Applications in finding the area under simple curves, especially lines, circles/ parabolas/ellipses (in standard form only) |
| Chapter 9 - Differential Equations | Definition, order and degree, general and particular solutions of a differential equation. Solution of differential equations by method of separation of variables, solutions of homogeneous differential equations of first order and first degree. Solutions of linear differential equations of the type: dy dx + py = q, where p and q are functions of x or constants. d? d? + px = q, where p and q are functions of y or constants. |
| Chapter 10 - Vectors | Vectors and scalars, magnitude and direction of a vector. Direction cosines and direction ratios of a vector. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Definition, Geometrical Interpretation, properties and application of scalar (dot) product of vectors, vector (cross) product of vectors. |
| Chapter 11 - Three Dimensional Geometry | Direction cosines and direction ratios of a line joining two points. Cartesian equation and vector equation of a line, skew lines, shortest distance between two lines. Angle between two lines. |
| Chapter 12 - Linear Programming | Introduction, related terminology such as constraints, objective function, optimisation, graphical method of solution for problems in two variables, feasible and infeasible regions (bounded or unbounded), feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints). |
| Chapter 13 - Probability | Conditional probability, multiplication theorem on probability, independent events, total probability, Bayes’ theorem, Random variable and its probability distribution, mean of a random variable. |
Karnataka Board 2nd PUC Books
The syllabus is very important to know essential topics, but books are also important to master the topics. Here is the list of important Karnataka Board 2nd PUC Books. Interested students can go through them.
Frequently Asked Questions (FAQs)
Q: What are the benefits of learning from the Karnataka board 2nd PUC Maths syllabus?
A:
HSC Maths syllabus Karnataka board is provided with previous year questions, FAQs, MCQs, and Test series which help students in better performing.
Q: How the students can download the Karnataka board 2nd PUC Maths syllabus?
A:
Students can download the Karnataka board 2nd PUC Maths syllabus from the link given above in the article.
Q: How many chapters are there in the Maths syllabus for 2nd PUC Karnataka board?
A:
There are a total of 13 chapters in the Maths syllabus for 2nd PUC Karnataka Board.
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