Detailed List of 2nd PUC Maths Chapters & Syllabus

With scholars attaining senior secondary education, acquiring knowledge in their preferred stream of subjects has become crucial. So, are you a student who aims to pursue the subject Maths from the Karnataka Board? We have got you covered in this post.

If you have gained admittance to the Karnataka Board with the 2nd PUC mathematics subject, it's time to learn about the syllabus. What exactly is the 2nd PUC Maths course, and what topics does it cover? Simply put, it is a course designed for science scholars of the PUC II year Karnataka State Board.

Introduction to 2nd PUC Maths

The Department of Pre-University Education, Karnataka, conducts the board examination for scholars in the first and second PUC in affiliated schools and colleges across the state. And scholars can choose their desired stream amongst the three program streams focusing on arts, commerce, and science.

If you have accomplished 1st PUC mathematics, it is time to start preparing for the next course. So, carve a successful career in mathematics by securing qualifying marks. And the best way to secure decent marks in the subject is by understanding the Karnataka board class 12 Maths syllabus.

So, to prepare for the examination, get an insight into the details of the syllabus. Your syllabus is the course-planning tool that gathers the prerequisite information about what to study during the course. Having prior knowledge about the topics helps you prepare for the examination in an organised way.

In general, a course syllabus sets the tone for your course. It streamlines the content of the course and facilitates the education success of scholars, and informs them about:

• Course's structure
• Prime goals
• Learning outcomes

So, if you have decided on pursuing Maths subjects in 10+2 from the Karnataka Board, a syllabus offers a clear idea of your course content. It also gives learners the room to perform extensive practice through different:

• Problem sets
• Homework
• Subject-based assignments

Now that you have learned the importance of acquiring the 2nd PUC Maths syllabus, it's time to learn more on this front. So, spend a few worthy minutes learning more about the PUC Maths syllabus and topics.

KSEEB 2nd PUC Maths Syllabus 2022-23

Securing decent marks in your subject will help you qualify for higher education in prestigious and accredited universities. And the foundation step to accomplishing satisfactory results is understanding your syllabus and study material.

So, if you want to learn about the 2nd PUC Maths chapters list, we have covered the comprehensive information below. Here's presenting the complete mathematics syllabus for 2nd PUC candidates for 2022-23.

#1 Relations and Functions

This is the 1st chapter in the 2nd PUC Maths Syllabus. Relations and functions are the two most significant topics in algebra. However, relations and functions have different meanings. Candidates may get confused about the difference. But here, they will learn about the different relations: equivalence and universal relations, empty, transitive, reflexive, and more.

#2 Inverse Trigonometric Functions

Inverse trigonometric functions are defined as inverse functions of trigonometric functions, including sine, cosine, cotangent, tangent, etc. The types of functions are:

• The inverse of the function composite functions
• One to one and onto functions
• Binary operations and more

#3 Matrices

Notation, concept, order, equality, zero & identity matrix, transpose of a matrix, types of matrices, and symmetric and skew-symmetric matrices are included. The operations on matrices are:

• Addition & multiplication and multiplication with the scalar
• Simple properties of addition
• Multiplication & scalar multiplication
• On Commutativity of multiplication of the matrices
• Existence of non-zero matrices (where the product is zero matrix)

The overall study encompasses matrices concept, types, algebra of matrices, and more.

#4 Determinants

It involves determinants of the square matrix (3 x 3 matrices), co-factors, minors, and determinants' applications to find a triangle's areas. The study also includes examples of inconsistency, consistency, and solutions of linear equations. Also, it includes a solving system of linear equations in 2-3 variables (with unique solutions) using the matrix's inverse.

#5 Continuity and Differentiability

Candidates need to study the basics of continuity and differentiability. Also, they need to understand the concept of derivative functions of inverse trigonometric (including sin−1 ????, tan−1 ????, cos−1 ????, and implicit functions' derivative) and chain rule.

It also includes the concept of logarithmic and exponential functions. Scholars also need to study logarithmic differentiation and the derivative of functions in parametric forms. The second-order derivatives are also included in this chapter.

#6 Applications of Derivatives

The application of derivative is the study that encompasses the rate of changes of bodies, decreasing or increasing functions, minima and maxima. Candidates must solve problems that illustrate subjects' basic understanding and principles and real-life scenarios.

#7 Integrals

Integrals are all about integration as the inverse process of differentiation. It involves different functions by substitution, parts, and partial fractions. Candidates need to work on the evaluation of simple integrals of problems and more.

#8 Applications of the Integrals

The study encompasses the applications in finding the areas under curves, specifically circles/parabolas/ellipses, lines, and more. Note that all are in standard form only.

#9 Differential Equations

This chapter is about its definition, order & degree, and equation solutions. To solve the problems, students must use the separation method of variables and homogeneous differential equations of the first order & first degree. It also involves solutions of the linear differential equation.

#10 Vectors

The chapter is about scalars and vectors and the direction and magnitude of a vector. One needs to learn about the types of vectors:

• Equal
• Unit
• Zero
• Parallel
• Collinear

Candidates need to learn about the following:

• The position vector of one point
• Negative of a vector
• Vector components
• Addition of vectors
• Multiplication of the vector by a scalar
• The position vector of the point dividing one line segment in the ratio

#11 Three-Dimensional Geometry

3-dimensional geometry encompasses the study of the direction cosines, and ratios of the line joining two points. In addition, one needs to know about the Cartesian equation & vector equation of the line, the shortest distance between the two lines, and skew lines.

#12 Linear Programming

Linear programming is a study encompassing an introduction & related terminology like:

• Constraints
• Objective function
• Optimisation
• Graphical method of the solution in two variables
• Feasible & infeasible regions (unbounded or bounded)
• Infeasible and feasible solutions
• Optimal feasible solutions

#13 Probability

In the 2nd PUC Maths syllabus 2022, 'probability' is a significant chapter. Career fields like aviation, biomedical engineering, and fire science need a practical understanding of probability. As a candidate for 2nd PUC mathematics, these are the things covered:

• Conditional probability
• Multiplication theorem
• Independent events
• Total Probability
• Bayes' theorem
• Random variable
• Mean of the random variable

Summing up

So, scholars who wish to carve a successful career must score good in their chosen subjects. If 2nd PUC mathematics is one of them, you must study these thirteen chapters with utmost dedication. The best way to set a compact preparation strategy is by reading the syllabus, prioritising quality over quantity, knowing exam blueprints, and practising self-evaluation. With these things covered, you can secure a lucrative career progressively.