PUC or Pre-University Course is the mandatory education system prescribed by the Education Department of the Karnataka Government. PUC is also known as the Pre-Degree Course or PDC. The PUC is conducted in accordance with the mandatory 10+2 system of education mandated by the Central Government of India as the basic eligibility criteria for pursuing higher studies and/or careers in the country. 1st PUC is basically the 1st year of Pre-University Course or Class 11 as prescribed by the Department of Pre-University Education, Ministry of Education, Karnataka Government.

The 1st PUC courses designed by the Department of Pre-University, Government of Karnataka, cover all the subjects holistically such that the basic framework of each subject can be clear for the students. The 1st PUC courses available to the students can be broadly classified under the major streams of Science, Commerce and Arts, just like any other board, including state-run boards practised and followed in India.

Under the science stream, the students pursuing the 1st PUC courses get an option to choose from subjects such as Physics, Chemistry, Biology, Mathematics, Electronics, and Computer Science, among others. Among all the science subjects, Mathematics is one of the most important subjects. Therefore, we need to understand the syllabus of the subject and the broad outline of chapters included in 1st PUC Mathematics in order to plan our studies well.

The 1st PUC course structure of the PCMB subjects (Physics, Chemistry, Mathematics, Biology subjects) is carefully designed and highly structured such that the foundation of all these subjects is laid in a comprehensive way for all the students. The detailed chapter list and subheadings covered under each of these chapters in all these courses are well thought out such that the students are well prepared for future careers and courses.

The 1st PUC Mathematics syllabus is comprehensive and in-depth in terms of topics covered. The students pursuing the 1st PUC Science syllabus need to understand the syllabus and the break-up of the syllabus in order to prepare well for the examinations.

Mathematics 1st PUC syllabus followed by the Department of Pre-Education under the Ministry of Education, Karnataka Government, is comparable to any other mathematics syllabus for class 11 state board followed across the country. This is done intentionally to maintain parity between the students pursuing basic education from different states of the country.

The Class 11 mathematics syllabus state board of any state is prepared and developed in accordance with the central government mandate of education at the same level. Further, the syllabus of a subject like Mathematics is designed and developed in a way such that the students get a clear understanding of the basic fundamental topics. This is important because the chapters and topics covered in the PUC 1st year mathematics syllabus are also related and required to understand the basic fundamental concepts taught in other subjects such as Physics and Chemistry.

The maths syllabus for 1st PUC helps the students understand what the students need to cover in class 11 and guides the teachers to develop the students' understanding of each topic clearly throughout the year. The 1st PUC maths syllabus acts as a foundation for the 2nd PUC syllabus of Mathematics and the higher level concepts taught in other subjects such as Physics and Chemistry taught in PUC 2nd year. The 1st PUC Maths syllabus is revised and updated from time to time to prepare the students to handle the current world situations, especially situations related to higher studies and careers well.

It is therefore advised to ‘Download Karnataka Class 11 2022-23 Reduced Syllabus for Mathematics’ before starting the actual preparation for the 1st PUC maths syllabus. This would help them prepare well for examinations and not waste time on unnecessary chapters and syllabus.

According to the Karnataka Secondary Education Examination Board (KSEEB), the 1st PUC maths chapters included in the 1st PUC Mathematics syllabus for 2022-23 include:

- Sets
- Sequence and Series
- Relations and Functions
- Infinite Series
- Trigonometric Functions
- Exponential Series
- Straight Lines
- Geometric Series
- Averages
- Binomial Theorem
- Coordinate System in a Plane
- Complex Numbers
- Limits and Derivatives
- Quadratic Equations
- Number Theory
- Three Dimensional Geometry
- Linear Inequalities
- Statistics
- Permutations
- Probability
- Combinations
- Mathematical Modeling

These are the broad topics covered in the 1st PUC Mathematics Syllabus. The students need to understand the detailed topics covered under each of these broad heads and start preparing for the examinations well in advance to score more.