Uttarakhand Board of School Education (UKBSE) has come up with a restructured and comprehensive syllabus for Class 12 Maths. The syllabus of the subject has been designed keeping in mind the future academic career of the students as well as the board exams. Moreover, the chapters included in the syllabus provide students with sufficient knowledge to tackle any engineering entrance exams.
In this article, we will cover the detailed Uttarakhand Board Class 12 Maths syllabus for the academic year 202122, the evaluation pattern of the board, the importance of each chapter, key insights from those chapters, and some helpful FAQs.
The new syllabus aims to help students become better in understanding the concepts given in the curriculum of Maths. It is a must that students study and analyze the syllabus before they start studying the subject. The subject has two papers with a total marks of 100. The first is a theoretical paper, and the second would be project work/test.
PaperI will be an 80 marks theory paper with a 3hour time restriction.
PaperII will be a project/test worth 20 marks.
Given below is the chapter and unitwise distribution of the Class 12 Maths syllabus:
Theory Syllabus of UKBSE Board Class 12 Maths
Sr. No 
Units 
Sub topics 
1 
Relation and Function

Introduction of the chapter, Types of Relation and Function, Composition of Function and Invertible Function, Basics of Binary Operation.

2 
Inverse Trigonometric Function 
Introduction and Basic Concept of the topic, Properties of Inverse Trigonometric Function.

3 
Matrices 
Introduction and types of Matrices, Operations on Matrices, Transpose of a matrix, Symmetric and Skew Symmetric matrices, Elementary Operation

4 
Determinants 
Introduction and Properties of Determinants, Area of a Triangle, Minors and Cofactors, Adjoin and Inverse of a Matrix, Application of Determinants and Matrices.

5 
Continuity & Differentiability 
Introduction to Continuity & Differentiability, Exponential & Logarithmic Function, Logarithmic Differentiation, Derivative of Function in Parametric Forms, Second order derivative, Mean value theorem.

6 
Application of Derivatives 
Rate of change of Quantities, Increasing and Decreasing

7 
Integrals 
Methods of Integration, Integration of some particular Function, Integration by partial Fractions, Integration by parts, Definite Integral, Fundamental Theorem of Calculus, Evaluation of Definite Integral by substitution, Some properties of definite integrals.

8 
Application of Integrals 
Introduction, Area under simple curves, Area between two curves.

9 
Differential Equations 
Basic concept, General and particular solution of a differential equation, Formation of differential equation whose general solution is given. Methods of solving first

10 
Vector Algebra 
Some basic concept, Types of vectors, Addition of vectors, Multiplication of vector by a scalar, Product of two vectors

11 
Three Dimensional Geometry 
Direction cosines and direction ratios of a line equation in space, Angle between two lines, Shortest distance between two lines, Plane, Coplanarity of two lines, Angle between two planes, Distance of a point from a plane, Angle between a line and a plane

12 
Linear Programming 
Linear Programming Problem and its mathematical Formulation

13 
Probability 
Conditional Probability, Multiplication Theorem on Probability, Independent Events, Bayes Theorem, Random Variables and its Probability Distributions, Bernoulli Trials and Binomial distribution

From the above table, it can be said that the syllabus is quite comprehensive, and a few chapters are important to study in detail. Especially, chapters such as Matrices, Integrals, Application of Integrals, and Linear Programming should be given more time to study. The rest of the chapters also need attention as per the marks allotted.
It is interesting to note here that many students in the previous years have said they find Maths papers not too difficult but lengthy. Therefore, analyzing the syllabus repeatedly and solving previous year question papers is an intelligent approach to studying Maths. Also, the subject demands a fair amount of practice, an honest effort to gain clarity of concepts, and persistence.
FAQs for UKBSE Board Class 12 Maths Subject:
Q1. How should I prepare for the UKBSE Class 12 Maths Exam?
Ans. Students must be familiar with the exam syllabus, question paper pattern, and they should focus on crucial areas (refer to important questions, sample papers to get an idea), and stick to a study schedule to prepare for the exam.
Q2. Will the syllabus be reduced for the academic session 202122 as well?
Ans: Keeping in mind the Covid19 restrictions, the UKBSE had reduced the syllabus for all the subjects by 25% for the year 202021 for the convenience of students. However, no such announcement has been made for the academic session 202122. Students are advised to keep visiting the official website of the UKBSE – https://ubse.uk.gov.in/ to stay updated.
Q3. From where should students prepare for Class 12 Maths Exam?
Ans: Students can solve the Class 12 questions from their UKBSE Board state text books. They can also go through the last ten years’ question papers to familiarize themselves with the entire coursework.
Q4. Why is it critical to know the exam’s syllabus ahead of time?
Ans. Knowing the syllabus ahead of time allows students to have a better understanding of the topics, leading to confidence during the exam. It also helps students to improve their time management skills.
Q5. Can students from the UKBSE clear the IITJEE or NEET exam?
Ans. Yes, many Uttarakhand Board students have achieved good results in JEE/ NEET in the past. If you prepare well for your target examination, you too can clear these prestigious competitive exams with flying colors. All the Best!
Q6. When will the practical exams be held?
Ans. The dates for internal assessment/practical exams will be declared by your school authorities. Students are advised to contact their school exam department for further information.