# Kerala SCERT Higher Secondary Class 12th Math’s Syllabus

Hsslive.net SCERT Kerala Class 12th Mathematics syllabus for the year 2023. It mentions that the syllabus gives a clear picture of the number of units and chapters covered, and the time allotted for each month to ensure a balanced course of study. Having a copy of the syllabus allows students to create their action plan accordingly.

To prepare for the class 12th Kerala Board examination, it is recommended to have in-depth knowledge of the Kerala Board Syllabus 12th Standard Textbooks. The syllabus is designed to help students shine in the HSE plus 2 exam.

## Kerala Plus one Higher Secondary Class 12th Math’s Syllabus PDF

Based onKerala State
ClassesPlus one or Class 11th
SubjectMaths
State BoardKerala Board (DHSE)
FormatPDF & Web
Book usesSCERT & NCERT

#### The Maths textbooks for Class 12 are divided into two parts:

1. SCERT Kerala State Syllabus 12th Standard Maths Textbooks Part 1
2. SCERT Kerala State Syllabus 12th Standard Maths Textbooks Part 2

The website only mentions that the SCERT Kerala Class 12 Maths textbooks are updated and thoroughly revised according to the latest exam pattern and Kerala State syllabus.

### SCERT Kerala State Syllabus 12th Standard Maths Textbooks Part 1

Chapter NumberChapter NameTopics
1Relations and FunctionsIntroduction, Types of Relations, Types of Functions, Composition of Functions and Invertible Function, Binary Operations
2Inverse Trigonometric FunctionsIntroduction, Basic Concepts, Properties of Inverse Trigonometric Functions
3MatricesIntroduction, Matrix, Types of Matrices, Operations on Matrices, Transpose of a Matrix, Symmetric and Skew Symmetric Matrices, Elementary Operation (Transformation) of a Matrix, Invertible Matrices
4DeterminantsIntroduction, Determinant, Properties of Determinants, Area of a Triangle, Minors and Cofactors, Adjoint and Inverse of a Matrix, Applications of Determinants and Matrices
5Continuity and DifferentiabilityIntroduction, Continuity, Differentiability, Exponential and Logarithmic Functions, Logarithmic Differentiation, Derivatives of Functions in Parametric Forms, Second Order Derivative, Mean Value Theorem
6Application of DerivativesIntroduction, Rate of Change of Quantities, Increasing and Decreasing Functions, Tangents and Normals, Approximations, Maxima and Minima
Appendix 1Proofs in MathematicsIntroduction, What is a Proof?
Appendix 2Mathematical ModellingIntroduction, Why Mathematical Modelling?, Principles of Mathematical Modelling

### SCERT Kerala State Syllabus 12th Standard Maths Textbooks Part 2

Chapter NumberChapterTopics
7 Integrals– Introduction, Integration as an Inverse Process of Differentiation, Methods of Integration, Integrals of Some Particular Functions, Integration by Partial Fractions, Integration by Parts, Definite Integral, Fundamental Theorem of Calculus, Evaluation of Definite Integrals by Substitution, Some Properties of Definite Integrals
8Application of Integrals– Introduction, Area under Simple Curves
9Differential Equations– Introduction, Basic Concepts, General and Particular Solutions of a Differential Equation, Methods of Solving First Order, First Degree Differential Equations
10Vector Algebra– Introduction, Some Basic Concepts, Types of Vectors, Addition of Vectors, Multiplication of a Vector by a Scalar, Product of Two Vectors
11Three Dimensional Geometry– Introduction, Direction Cosines and Direction Ratios of a Line, Equation of a Line in Space, Angle between Two Lines, Shortest Distance between Two Lines
12Linear Programming– Introduction, Linear Programming Problem and its Mathematical Formulation
13Probability– Introduction, Conditional Probability, Multiplication Theorem on Probability, Independent Events, Bayes’ Theorem

Official syllabus from your State Council of Educational Research and Training (SCERT) or educational institution for the most accurate and up-to-date information.