- Karnataka 2nd PUC Mathematics Syllabus 2024-25: PDF
- How To Download Karnataka 2nd PUC Mathematics Syllabus 2024-25?
- Karnataka 2nd PUC Mathematics Syllabus 2024-25
- Karnataka 2nd PUC Mathematics Exam Pattern 2024-25
- How to Prepare with the Karnataka 2nd PUC Syllabus 2024-25?
- Karnataka 2nd PUC Mathematics Reference Books
- Faqs
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Karnataka 2nd PUC Mathematics Syllabus 2024-25 includes topics for the 2nd PUC Board Exam. There are 15 units in the syllabus whereas the question paper will be divided into 5 different parts. Part A will consist of multiple-choice questions and 5 fill in the blanks. Part B will consist of 6 questions for 2 marks each and it will also have internal choice. Part C will consist of 6 questions for 3 marks each including internal choice. Part D will consist of four questions of 5 marks each. Lastly, part E will consist of one question to be conducted on graph paper. The Mathematics question paper will be conducted for 80 marks. There will be a total of 52 questions included in the question paper. Students will be given three hours and 15 minutes to read and attempt the question paper.
Integralsis one of the most important chapters in the syllabus with a weightage of 20 marks followed by Continuity And Differentiability with 19 marks. The model papers are also listed on the official website of the Karnataka School Examination And Assessment Board to be downloaded in a PDF format by the students. Check more information about the Karnataka 2nd PUC Mathematics Syllabus 2024-25 here.
Karnataka 2nd PUC Mathematics Syllabus 2024-25: PDF
The official PDF for the reduced syllabus is listed on the official website to be downloaded by the students. You can also check out the direct link to download the PDF from the table given below and avoid the chapters that are excluded as per the decision made by the board:
How To Download Karnataka 2nd PUC Mathematics Syllabus 2024-25?
There is a very simple procedure that can be followed to download the Karnataka 2nd PUC Mathematics Syllabus 2024-25. You can follow the steps given below to download the syllabus PDF as soon as it is uploaded on the official website:
- Step 1: You will first have to visit the official website of the Karnataka School Examination And Assessment Board at kseab.karnataka.gov.in
- Step 2: The home page will open on your screen where you have to scroll down and go to the Documents section
- Step 3: Under the Documents section, you will find a PUC option. Click on the option.
- Step 4: A drop-down menu will open on your screen where you have to click on the Syllabus option.
- Step 5: A new page will open on your screen and you will be able to see the list of syllabus accordingly.
- Step 6: Click on the subject of your choice to download the syllabus.
Karnataka 2nd PUC Mathematics Syllabus 2024-25
Students can check the detailed information about the important topics included in each unit for the Karnataka 2nd PUC Mathematics Syllabus 2024-25 from the table given below. Try to complete your syllabus as soon as possible to continue with your revision:
Units | Important Topics |
|---|---|
1. Relations and Functions | Types of relations: universal and equivalence relations, transitive, empty, reflexive, etc. |
2. Inverse Trigonometric Functions | Types of functions: the inverse of a function composite functions, One to one and onto functions, Binary operations, etc. |
3. Matrices | Matrices Concept, Types of matrices, Algebra of matrices, Symmetric and skew-symmetric matrices, Simple properties of addition, multiplication and scalar multiplication. Oncommutativity 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) |
4. Determinants | Determinants, Determinants of a matrix of order 3 × 3, Area of a triangle, co-factors, minors, and determinant applications in calculating a triangle's area. A square matrix's inverse and adjoint. Using the inverse of a matrix, solve systems of linear equations in two or three variables (with a unique solution) to determine consistency, inconsistency, and the number of solutions. |
5. Continuity and Differentiability | Continuity, continuous functions, derivative of composite functions, Differentiability, implicit functions' derivative, Understanding logarithmic and exponential functions, logarithmic and exponential function derivatives, Derivative of functions given in parametric forms, logarithmic differentiation, derivatives of second order |
6. Applications of Derivatives | Applications of derivatives include body change rate, growing and decreasing functions, and maxima and minima (the second derivative test is provided as a proven tool, while the first derivative test is motivated geometrically). Simple problems (that show fundamental ideas and comprehension of the subject matter in addition to real-world scenarios). |
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, Fundamental Theorem of Calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals |
8. Applications of the Integrals | Definition, general, and order solutions of a differential equation. Solution of homogeneous differential equations of first order and first degree; solution of differential equations by method of separation of variables. Solutions to the following kind of linear differential equation: dy dx + py = q, where p and q are constants or functions of x. d? d? + px = q, in which p and q are constants or functions of y. |
9. Differential Equations | Scalars and vectors, as well as a vector's direction and magnitude. vector's direction cosines and direction ratios. vector types (equal, unit, zero, parallel, and collinear), vector components, vector addition, vector multiplication 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. |
10. Vector Algebra | Types of vectors, addition of vectors, etc. |
11. Three Dimensional Geometry | A line connecting two places' direction cosines and direction ratios. The shortest distance between two lines, skew lines, and the Cartesian and vector equation of a line, angle formed by two lines. |
12. Linear Programming | Introduction, related terminology such as constraints, objective function, optimization, 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). |
13. Probability | Conditional probability, multiplication theorem on probability, independent events, total probability, Bayes’ theorem, Random variable and its probability distribution, mean of random variable. |
Karnataka 2nd PUC Mathematics Exam Pattern 2024-25
The latest blueprint for Mathematics paper is uploaded on the official website of KSEAB. Students can check the exam pattern for Karnataka 2nd PUC Mathematics subject from the table given below:
Units | Marks |
|---|---|
1. Relations and Functions | 10 |
2. Inverse Trigonometric Functions | 7 |
3. Matrices | 9 |
4. Determinants | 13 |
5. Continuity and Differentiability | 19 |
6. Applications of Derivatives | 8 |
7. Integrals | 20 |
8. Applications of the Integrals | 5 |
9. Differential Equations | 9 |
10. Vector Algebra | 10 |
11. Three Dimensional Geometry | 9 |
12. Linear Programming | 7 |
13. Probability | 9 |
How to Prepare with the Karnataka 2nd PUC Syllabus 2024-25?
Students should take a look at the Karnataka 2nd PUC Math chapters list thoroughly because the question paper in the board exam will be curated based on it. Students can use the following important tips as they get ready for the examination.- Practice the topics frequently that are allotted the highest marks.
- Candidates can prepare a timetable according to the syllabus. To cover all the topics, candidates can divide the syllabus into smaller sections.
- After finishing the syllabus, see whether any topics are missing.
- It is recommended that candidates revise the syllabus before taking the exam.
Karnataka 2nd PUC Mathematics Reference Books
For Karnataka 2nd PUC (Pre-University Course) Mathematics, there are several reference books that students can use to supplement their learning and preparation. Here are some popular ones:| Books | Description |
|---|---|
| R.D. Sharma | Math textbooks written by R.D. Sharma are extensively utilized by students in India. The exercises are appropriate for practice because they are well-graded and address a variety of practice. |
| S.L. Loney | For topics like Trigonometry and Coordinate Geometry, S.L. Loney's books provide in-depth explanations and a variety of problems ranging from basic to advanced levels. |
| Hall and Knight | Another great book with intricate explanations and difficult problems covering a variety of math disciplines, such as algebra and trigonometry. |
| Arihant Publications | This publisher provides a selection of books for both board exams and competitive exams. For more practice, look for titles such as "Previous Years' Solved Papers" or "Mathematics for Class 12". |
| Dinesh Publications | The books in the Dinesh Mathematics series are renowned for their copious practice questions and concise explanations. They can be beneficial for students looking for more practice syllabus because they are made by the Karnataka PUC syllabus. |
| Frank Brothers | Frank Brothers' Mathematics books provide comprehensive coverage of the syllabus along with ample examples and practice questions. They are popular among Karnataka PUC students for their clarity and relevance to the exam. |
| Pearson Mathematics for Karnataka PUC | Pearson offers textbooks specifically designed for Karnataka PUC Mathematics. These books are structured according to the syllabus and include explanations, examples, and exercises to reinforce learning. |
To prepare for the Karnataka 2nd PUC Mathematics board exams, it's important to finish the syllabus for the 2024-25 academic year by early January. To aid in revision, it's recommended to download the blueprint and model test papers from the official KSEAB website.
