Karnataka Board Class 12th Maths Syllabus 2026 PDF Download
Karnataka Board Class 12th Maths Syllabus 2025-26 provides a complete overview of important topics like algebra, calculus, vectors, probability and 3D geometry. Download the PDF and prepare effectively for board and competitive exams.
Praveen Singh5 Nov, 2025
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Karnataka Board Class 12th Maths Syllabus 2025-26 lays the foundation for students to strengthen their mathematical knowledge and problem-solving skills. It covers essential topics like algebra, calculus, vectors, probability and three-dimensional geometry, designed to prepare students for board exams as well as competitive exams such as JEE and NEET.
This syllabus not only focuses on theory but also on practical applications, helping students build analytical and logical thinking for higher studies.
Karnataka Board Class 12th Maths Syllabus 2025-26
Karnataka School Examination and Assessment Board sets the curriculum for the Karnataka 2nd PUC 2026 Maths syllabus. The board designs the syllabus to build a strong base in core mathematical concepts, covering everything from algebra to calculus and probability.
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Karnataka 2nd PUC Syllabus 2026 Overview |
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Particular |
Details |
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Board Name |
Karnataka School Examination and Assessment Board (KSEAB) |
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Exam Name |
Karnataka 2nd PUC (Pre-University Course) Examination |
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Subject |
Mathematics |
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Theory Exam Marks |
80 Marks |
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Internal Assessment Marks |
20 Marks |
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Total Marks |
100 Marks |
Karnataka Board Class 12th Maths Syllabus 2025-26
Karnataka 2nd PUC Mathematics Syllabus 2025-26 is divided into different units. You need to study 13 chapters in total.
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Karnataka Board Class 12th Maths Syllabus Chapter List |
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Unit No. |
Chapter Name |
Key Topics Covered |
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Unit I |
Relations and Functions |
Types of relations (universal, equivalence) and functions (one-to-one, onto), composition of functions. |
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Unit II |
Inverse Trigonometric Functions |
Definition, principal value branch, graphs, and basic properties. |
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Unit III |
Matrices |
Types of matrices, operations (addition, multiplication), transpose, symmetric and skew-symmetric matrices, and finding the inverse. |
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Unit IV |
Determinants |
Properties of determinants, minors, cofactors, area of a triangle, and solving linear equations using the inverse of a matrix. |
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Unit V |
Continuity and Differentiability |
Continuity, differentiability, derivatives of composite, implicit, logarithmic, and parametric functions, and second-order derivatives. |
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Unit VI |
Applications of Derivatives |
Rate of change, increasing and decreasing functions, tangents and normals, and maxima and minima problems. |
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Unit VII |
Integrals |
Integration as the inverse of differentiation, methods of integration (substitution, partial fractions, by parts), and properties of definite integrals. |
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Unit VIII |
Applications of the Integrals |
Finding the area under simple curves and the area between two curves. |
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Unit IX |
Differential Equations |
Order and degree, formation, and solution of differential equations (variable separable, homogeneous, and linear). |
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Unit X |
Vector Algebra |
Definition of a vector, types of vectors, vector addition, and scalar (dot) and vector (cross) product. |
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Unit XI |
Three Dimensional Geometry |
Direction cosines and ratios, Cartesian and vector equation of a line, and the shortest distance between two lines. |
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Unit XII |
Linear Programming |
Formulation of Linear Programming Problems (LPPs) and the graphical method of solution (bounded and unbounded feasible regions). |
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Unit XIII |
Probability |
Conditional probability, multiplication theorem, independent events, total probability, Bayes' theorem, and probability distribution. |
Karnataka 2nd PUC 2026 Maths syllabus PDF
Students can easily access the complete Karnataka 2nd PUC 2026 Maths Syllabus by downloading it in PDF format. Below is link below to download the syllabus and start planning your studies effectively for the upcoming academic year.
Karnataka 2nd PUC 2026 Maths syllabus PDF
Tips to Complete Karnataka 2nd PUC Mathematics Syllabus
Completing the vast Karnataka 2nd PUC Maths syllabus requires a proper study plan. Here are simple tips for students:
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Start Early: Begin your preparation right from the start of the academic year.
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Create a Schedule: Allot a specific time for each chapter. Try to finish the syllabus by early January to have enough time for revision.
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Focus on Formulas: Mathematics requires you to remember many formulas. Write them down and revise them daily.
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Practice is Key: Solve as many problems as possible from the textbook and previous years question papers. Practice helps you understand the steps better.
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Target High Weightage: Integrals carries the highest marks, practice problems from this chapter daily to ensure you score maximum marks.