Every 1st PUC student and every parent enrolling a child into PUC starts in the same place: the syllabus document. This guide organises the complete 1st and 2nd PUC Mathematics syllabus under the Karnataka State Board into one clear reference — every chapter, by year, with a sense of how marks weight typically falls across them. Syllabus structure has stayed broadly consistent in recent years, though always cross-check against your current academic year’s official notification for any updates.
1st PUC Mathematics — Full Chapter List
Sets · Relations & Functions · Trigonometric Functions · Principle of Mathematical Induction · Complex Numbers & Quadratic Equations · Linear Inequalities · Permutations & Combinations · Binomial Theorem · Sequences & Series · Straight Lines · Conic Sections · Introduction to Three-Dimensional Geometry · Limits & Derivatives · Mathematical Reasoning · Statistics · Probability. See the complete 1st PUC chapter-by-chapter guide →
2nd PUC Mathematics — Full Chapter List
Relations & Functions · Inverse Trigonometric Functions · Matrices · Determinants · Continuity & Differentiability · Application of Derivatives · Integrals · Application of Integrals · Differential Equations · Vector Algebra · Three-Dimensional Geometry · Linear Programming · Probability (including Bayes’ Theorem).
How the Two Years Connect
The syllabus isn’t two independent years bolted together — 1st PUC deliberately lays groundwork that 2nd PUC builds directly on. Sets underpins Relations & Functions. Limits & Derivatives (1st PUC) is the direct foundation for Continuity & Differentiability and Application of Derivatives (2nd PUC). Permutations & Combinations underlies the more advanced Probability content in 2nd PUC. A student who genuinely understands this connection studies more efficiently than one treating each year as a fresh start.
Where Marks Concentrate
Calculus-related chapters — Limits & Derivatives in 1st PUC, and Continuity & Differentiability, Application of Derivatives, Integrals and Application of Integrals together in 2nd PUC — carry substantial combined weight across both years. Matrices & Determinants and Vector Algebra form a reliable second tier. Chapters like Mathematical Reasoning and Linear Programming, while fully examinable, typically contribute more concentrated, lower-volume marks.
Using This as a Revision Checklist
Print or save this chapter list and check off each one as you complete a genuine revision pass — not just a first read-through, but a pass where you’ve attempted problems cold and reviewed your own mistakes. A syllabus list is only useful as a tracking tool if it’s tracking real practice, not just topics you’ve technically "covered" once.
Frequently Asked Questions
Q: Does the Karnataka PUC syllabus change often?
The core chapter structure has stayed broadly stable in recent years, though always confirm against the current academic year’s official Department of Pre-University Education notification for any updates.
Q: Is the PUC syllabus the same as the CBSE syllabus?
They’re closely related in structure (both largely follow an NCERT-aligned framework) but not identical — always study specifically from Karnataka State Board-aligned material rather than assuming full interchangeability.
Q: Where can I get chapter-wise notes for each of these topics?
Browse all available chapter guides →, with new ones added regularly, or explore the complete Formula Codex → spanning every chapter listed here.
See how Daniel Classes teaches 1st and 2nd PUC Mathematics →