UK Board 12th Maths Syllabus 2023-24: Download Revised UBSE Maths Syllabus PDF

UK Board 12th Syllabus Maths 2024: The Uttarakhand Board of Secondary Education has made the syllabus for the session year 2023-24 available to students. The exam preparation is in full swing, and the curriculum is almost over. But just studying is not enough to ace the board exams, you have to know what to study as well. The syllabus for many Class 12 subjects of the UK board has been revised or trimmed in recent years.

Students should keep themselves in check with the latest UK Board Class 12 syllabus so they only prepare the prescribed topics and not increase their workload. It’s not bad to study extra, but when it comes to the board exams of class 12, over-preparation will only confuse you and affect your score.

Subjects like Maths are especially lengthy and conceptual that demand practice along with a deep understanding of fundamentals. As such, you must refer to the latest and correct UBSE Class 12 mathematics syllabus while studying. It also gives you an idea of the marks distribution of topics so you know which ones you need to prioritize.

You can view and download the PDF of the UBSE Class 12 Maths syllabus here at Jagran Josh, along with the blueprint and marks distribution.

Related: UK Board Class 12 Syllabus 2023-24: Download Latest and Revised UBSE Class 12 Syllabus PDF

UK Board 12th Maths Syllabus 2023-24

UBSE 12th Maths Marks Distribution

Check below the unit-wise marks distribution of the Uttarakhand Board Maths syllabus for class 12.

Now that you know which units carry the most marks, read the syllabus below and download the full UK Board 12^th Maths Syllabus PDF with practical weightage and evaluation scheme.

Unit-I: Relations and Functions

1. Relations and Functions

Types of relations: reflexive, symmetric, transitive and equivalence relations. One to one and onto functions.

2. Inverse Trigonometric Functions

Definition, range, domain, principal value branch. Graphs of inverse trigonometric functions.

Unit-II: Algebra

1. Matrices

Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix, symmetric and skew symmetric matrices. Operations on matrices: Addition and multiplication and multiplication with a scalar. Simple properties of addition, multiplication and scalar multiplication. Non-commutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (restrict to square matrices of order 2). Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries).

2. Determinants

Determinant of a square matrix (up to 3 x 3 matrices), minors, co-factors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix.

Unit-III: Calculus

1. Continuity and Differentiability

Continuity and differentiability, chain rule, derivative of inverse trigonometric functions, sin⁻¹ , cos⁻¹ and tan⁻¹ , derivative of implicit functions. Concept of exponential and logarithmic functions. Derivatives of logarithmic and exponential functions. Logarithmic differentiation, derivative of functions expressed in parametric forms. Second order derivatives.

2. Applications of Derivatives

Applications of derivatives: rate of change of quantities, increasing/decreasing functions, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject as well as reallife situations).

3. Integrals

Integration as inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions and by parts, Evaluation of simple integrals of the following types and problems based on them. √ 2 + + , Fundamental Theorem of Calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals.

4. Applications of the Integrals

Applications in finding the area under simple curves, especially lines, circles/ parabolas/ellipses (in standard form only)

5. Differential Equations

Definition, order and degree, general and particular solutions of a differential equation. Solution of differential equations by method of separation of variables, solutions of homogeneous differential equations of first order and first degree. Solutions of linear differential equation of the type:

Unit-IV: Vectors and Three-Dimensional Geometry

1. Vectors

Vectors and scalars, magnitude and direction of a vector. Direction cosines and direction ratios of a vector. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Definition, Geometrical Interpretation, properties and application of scalar (dot) product of vectors, vector (cross) product of vectors.

2. Three - dimensional Geometry

Direction cosines and direction ratios of a line joining two points. Cartesian equation and vector equation of a line, skew lines, shortest distance between two lines. Angle between two lines.

Unit-V: Linear Programming

1. Linear Programming

Introduction, related terminology such as constraints, objective function, optimization, graphical method of solution for problems in two variables, feasible and infeasible regions (bounded or unbounded), feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints).

Unit-VI: Probability

1. Probability

Conditional probability, multiplication theorem on probability, independent events, total probability, Bayes’ theorem, Random variable and its probability distribution, mean of random variable.

Check below to read the full syllabus of the Uttarakhand Board Maths syllabus for class 12.