Karnataka 2nd PUC Maths Syllabus 2026-27, Check Chapter-Wise Topics

Karnataka 2nd PUC Maths Syllabus 2026-27 covers algebra, calculus, vector algebra, three-dimensional geometry, linear programming and probability. The subject requires more than reading concepts once. Regular problem-solving practice is important because students need to apply formulas and methods while solving questions.

The Karnataka 2nd PUC Mathematics syllabus is divided into 13 units. Students can use the chapter-wise topics below to understand what they need to study and plan their preparation accordingly.

Karnataka 2nd PUC Time Table 2027 

Karnataka 2nd PUC Maths Syllabus 2026-27

The Karnataka 2nd PUC Mathematics Syllabus 2026-27 includes topics ranging from Relations and Functions to Probability. Calculus forms a substantial part of the syllabus, while algebra, vectors, three-dimensional geometry and probability also require consistent practice.

Here is the unit-wise syllabus:

The currently indexed Karnataka 2026-27 Mathematics material also lists these same 13 units, from Relations and Functions through Probability.

Karnataka 2nd PUC Maths Syllabus PDF

Students searching for the Karnataka 2nd PUC Maths syllabus PDF should refer to the latest syllabus released for the examination year. Keeping the PDF accessible during preparation makes it easier to check completed chapters and avoid missing any prescribed topics.

The syllabus should be studied along with the prescribed textbook, class notes and practice material. Students can also refer to the Karnataka 2nd PUC Mathematics Blueprint 2026-27 to understand the examination structure and chapter-wise weightage. The 2026-27 blueprint is listed as an 80-mark paper and provides chapter-wise marks information.

Karnataka 2nd PUC Mid Term Question Paper PDF  

Karnataka 2nd PUC Maths Chapters

There are 13 chapters/units in the Karnataka 2nd PUC syllabus for Mathematics. They can broadly be grouped into algebra, calculus, vectors and geometry, linear programming and probability.

Algebra and Functions

The beginning of the syllabus covers Relations and Functions, Inverse Trigonometric Functions, Matrices and Determinants. Students need to understand the underlying concepts and practise different types of problems.

Calculus

The calculus portion includes Continuity and Differentiability, Applications of Derivatives, Integrals, Applications of Integrals and Differential Equations.

This section requires regular practice. Students should not leave integration and differentiation problems for the final weeks because solving them repeatedly helps improve speed and accuracy.

Vector Algebra and Geometry

Vector Algebra and Three Dimensional Geometry form another important part of the syllabus. Topics include vector operations, direction cosines and ratios, equations of lines and shortest distance between two lines.

Linear Programming and Probability

The final units are Linear Programming and Probability. Students should practise the standard methods used to formulate and solve problems rather than relying only on theoretical reading.

Karnataka 2nd PUC Maths Chapter-Wise Topics

For quick revision, students can use the following list of major topics:

• Relations and Functions: Types of relations, functions and composition of functions

• Inverse Trigonometric Functions: Inverse functions, composite functions and binary operations

• Matrices: Types, operations, symmetric and skew-symmetric matrices

• Determinants: Properties, minors, cofactors, area of a triangle and linear equations

• Continuity and Differentiability: Continuity, differentiability and different types of derivatives

• Applications of Derivatives: Rate of change, increasing/decreasing functions, tangents, normals, maxima and minima

• Integrals: Methods of integration and definite integrals

• Applications of Integrals: Areas under curves and between curves

• Differential Equations: Formation and solutions of differential equations

• Vector Algebra: Vector addition, scalar product and vector product

• Three Dimensional Geometry: Direction ratios, direction cosines and equations of lines

• Linear Programming: Formulation and graphical solutions

• Probability: Conditional probability, Bayes' theorem, independent events and probability distribution

Karnataka 2nd PUC Maths Marks and Exam Structure

The Karnataka 2nd PUC Mathematics theory paper carries 80 marks, with the remaining 20 marks allotted to internal assessment according to the reference data.

The 2026-27 Mathematics blueprint also shows an 80-mark examination and provides the distribution of questions across different mark categories.

Students should check the latest board-issued blueprint before making a chapter-wise marks strategy because the blueprint gives a clearer picture of how questions are distributed across the units.

Karnataka 2nd PUC Maths Important Chapters

Instead of preparing only a few chapters, students should aim to complete the entire syllabus. However, the blueprint can help them decide how much practice time to allocate to different units.

The 2026-27 blueprint shows substantial allotted marks for Continuity and Differentiability, Integrals and Determinants, among other units. The published blueprint lists chapter-wise allotted marks and teaching hours for all 13 units.

Students can therefore use the blueprint as a planning tool while continuing to cover every chapter.

How to Prepare for Karnataka 2nd PUC Maths Exam 2026-27?

Mathematics becomes easier to manage when students solve questions regularly instead of postponing practice until the end.

A practical preparation plan can include:

1. Start with the syllabus: Mark each unit as you complete it.

2. Understand the method: Learn why a formula or method works before memorising it.

3. Solve textbook questions: Work through examples and exercises systematically.

4. Practise regularly: Set aside time every day for numerical problems.

5. Maintain a formula sheet: Keep important formulas and standard results together for quick revision.

6. Revisit difficult questions: Mark problems that take longer to solve and attempt them again later.

7. Use the blueprint: Check the chapter-wise weightage while planning revision.

8. Solve model and previous papers: Practise completing questions within the examination time.

Karnataka 2nd PUC Maths Syllabus for Board and Competitive Exams

The Mathematics syllabus also provides a foundation for students preparing for competitive examinations. Topics such as matrices, determinants, calculus, vectors, three-dimensional geometry and probability are useful beyond the board examination.

However, board preparation should follow the Karnataka 2nd PUC syllabus and examination requirements. Students preparing for an entrance examination should separately check its latest syllabus and question pattern.

Karnataka Board 2nd PUC Maths Syllabus 2026-27: Preparation Tips

Do not wait until the complete syllabus is finished before starting revision. Once a unit is completed, solve a few questions from it during the following weeks.

Calculus and other numerical-heavy topics need repeated practice. For formula-based chapters, keep short revision notes. Before the board exam, solve full-length papers so that you become comfortable with the time available for the paper.

A chapter tracker can also help. Students can divide each unit into three stages: concept learning, question practice and revision. Moving a chapter to the next stage only after completing the previous one keeps preparation organised.

PW provides Karnataka 2nd PUC exam content, including Karnataka Board Exam Blogs, sample papers, mock tests, guidance sessions, and more. Also, enrol today in Karnataka 2nd PUC Online Coaching to prepare.