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Karnataka Board 2nd PUC Maths Book: The students can download the textbooks of Mathematics of the 2nd PUC Karnataka board online.The language used in the textbooks is easy to understand for the students, which helps them grasp the concepts quickly and effectively. The topics covered in this textbook will help students pursuing Mathematics or Engineering to build a strong foundation in the subject. The content is precise concerning their examinations, and they can attempt the exam with full confidence.
2nd PUC Karnataka State Board Book PDF of maths subject consists of 13 chapters, divided across two books, focusing on the various branches of Mathematics like Linear Programming, Trigonometry, Matrices, Probability, Differential Equations, Vectors, etc. The topics, like differentiation and integration, introduce them to the basics of calculus and complex mathematics.
To qualify for the board examinations, the students can practise the content provided in the Mathematics Textbook pdf class 12 Karnataka board and get themselves versed and practised with the various mathematical problems that vary across different pathways of mathematics. Karnataka Board 2nd PUC Mathematics textbooks PDF download can be accessed with the link provided below on the website.
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Chapter No. | Chapter | Subtopics |
1 | Relations and Functions | 1.1 Introduction |
2 | Inverse Trigonometric Functions | 2.1 Introduction |
3 | Matrices | 3.1 Introduction |
4 | Determinants | 4.1 Introduction |
5 | Continuity and Differentiability | 5.1 Introduction 5.2 Continuity 5.3 Differentiability 5.4 Exponential and Logarithmic Functions 5.5 Logarithmic Differentiation 5.6 Derivatives of Functions in Parametric Forms 5.7 Second Order Derivative 5.8 Mean Value Theorem |
6 | Application of Derivatives | 6.1 Introduction 6.2 Rate of Change of Quantities 6.3 Increasing and Decreasing Functions 6.4 Tangents and Normals 6.5 Approximations 6.6 Maxima and Minima |
Chapter No. | Chapter | Subtopics |
7 | Integrals | 7.1 Introduction |
8 | Application of Integrals | 8.1 Introduction |
9 | Differential Equations | 9.1 Introduction |
10 | Vector Algebra | 10.1 Introduction |
11 | Three-Dimensional Geometry | 11.1 Introduction 11.2 Direction Cosines and Direction Ratios of a Line 11.3 Equation of a Line in Space 11.4 Angle between Two Lines 11.5 Shortest Distance between Two Lines 11.6 Plane 11.7 Coplanarity of Two Lines 11.8 Angle between Two Planes 11.9 Distance of a Point from a Plane 11.10 Angle between a Line and a Plane |
12 | Linear Programming | 12.1 Introduction 12.2 Linear Programming Problem and its Mathematical Formulation 12.3 Different Types of Linear Programming Problems |
13 | Probability | 13.1 Introduction 13.2 Conditional Probability 13.3 Multiplication Theorem on Probability 13.4 Independent Events 13.5 Bayes' Theorem 13.6 Random Variables and Their Probability Distributions 13.7 Bernoulli Trials and Binomial Distribution |
Karnataka Board 2nd PUC Class Textbooks PDF:
Book Title | Author/Publisher | Details |
A Text Book of Basic Mathematics (2nd PUC) | Dr. T.V. Narasimha Rao, G.K. Ranganath | Comprehensive coverage of Algebra, Arithmetic, Coordinate Geometry, Differential and Integral Calculus. |
5 In 1 2nd PUC Mathematics | Subhas Publishing House Pvt Ltd | Includes textbook questions with answers, additional important questions, model question papers, and previous examination papers. |
Oswaal Karnataka PUE Solved Papers II PUC Mathematics | Oswaal Editorial Board | Chapterwise and topicwise previous solved papers from 2017 to 2024, aiding in exam preparation. |
Second PUC Examination Handbook Mathematics | Subhas Publishing House Pvt Ltd | Provides illustrations, detailed insights, and numerous practice questions to enhance exam readiness. |
Problems Plus in IIT Mathematics | A. Das Gupta | Advanced problems to develop problem-solving skills, suitable for competitive exam preparation. |
Solutions of Objective Mathematics with Chapter Tests | Dhanpat Rai Publications | Offers objective-type questions with solutions and chapter tests for practice. |
Chapter No. | Chapter | Marks |
1 | Relations and Functions | 9 |
2 | Inverse Trigonometric Functions | 6 |
3 | Matrices | 9 |
4 | Determinants | 12 |
5 | Continuity and Differentiability | 17 |
6 | Application of Derivatives | 8 |
7 | Integrals | 18 |
8 | Application of Integrals | 5 |
9 | Differential Equations | 8 |
10 | Vectors | 8 |
11 | Three-D Geometry | 8 |
12 | Linear Programming | 6 |
13 | Probability | 8 |
TOTAL | 120 |
Part | Type of Questions | Number of Questions to be Set | Number of Questions to be Answered | TOTAL MARKS | Remarks |
A | 1 mark Questions | 15+5=20 | 15+5=20 | 20 (20) | Compulsory part (MCQ + FB) |
B | 2 mark Questions | 9 | 6 | 9×2 = 18 (6×2 = 12) | |
C | 3 mark Questions | 9 | 6 | 9×3 = 27 (6×3 = 18) | |
D | 5 mark Questions | 7 | 4 | 7×5 = 35 (4×5 = 20) | Questions must be asked from 7 specific topics |
E | 6 and 4 marks Questions (Both Internal Choice) | 2 + 2 | 1 + 1 | 6×2 = 12 (6×1 = 6) 4×2 = 8 (4×1 = 4) | Questions must be asked from 4 specific topics |
Karnataka Board 2nd PUC Syllabus 2026:
One can get Karnataka Board Textbooks from the official site of Department of Pre University Education, Karnataka. The books for 1st and 2nd PUC are available in PDF Form for free.
There are total 13 units varied across two different books. Part 1 includes arithmetic mathematics and part 2 mainly contains Calculus.
There are several reference books available for Chemistry. One can refer to NCERT Mathematics textbook for easy understanding. Other reference books include Problems Plus In IIT Mathematics by A Das Gupta, Solutions of Objective Mathematics with Chapter Tests by Dhanpat Rai, Senior Secondary School Math 12 by R.S Aggarwal,
The contents in the textbook like differentiation, Integration, Linear Equations, Differential Equations, Matrices are related to various concepts both in Physics and Chemistry.
We will recommend you to go through the whole book as the marks are uniformly distributed. However, Integration, Differentiation, Differential Equations, hold maximum marks.
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