Maharashtra State Board HSC Mathematics and Statistics Syllabus 2023: Maharashtra State Board of Education has published the latest Mathematics and Statistics Syllabus for Higher Secondary Level students in Class 12^{th}. This Mathematics subject syllabus with subject code 40 is for both Arts and Science students.
View the syllabus below and download it from the link provided in the end:
There will be only one paper for the subject of total 100 marks and the weightage is as given below –
 Theory paper – 80 marks
 Practical/Viva– 20 marks
Maharashtra State Board HSC Mathematics and Statistics Syllabus 2023 for Class 12th
Parts 
Chapters 
Part 1 
Chapter 1 –Mathematical Logic 
Chapter 2 –Matrices 

Chapter 3 –Trigonometric functions 

Chapter 4 –Pair of straight lines 

Chapter 5 –Circle 

Chapter 6 –Conics 

Chapter 7 –Vectors 

Chapter 8–Three dimensional geometry 

Chapter 9 –Line 

Chapter 10 –Plane 

Chapter 11–Linear programming problems 

Part 2 
Chapter 1 – Continuity 
Chapter 2 – Differentiation 

Chapter 3 – Applications of derivative 

Chapter 4 – Integration 

Chapter 5– Applications of definite integral 

Chapter 6 – Differential equation 

Chapter 7 – Statistics 

Chapter 8 – Probability distribution 

Chapter 9 – Bernoulli trials and Binomial distribution 
PART 1
1. Mathematical Logic Statements  Introduction, sentences and statement, truth value of statement, open sentences, compound statement, quantifier and quantified statements, logical connectives : conjunction, disjunction, negation, implication/ conditional, biconditional, truth tables of compound statements, examples related to real life and mathematics, statement patterns and logical equivalence  tautology, contradiction, contingency, duality, negation of compound statement, contrapositive, converse, inverse, algebra of statementsidempotent law, associative law, commutative law, distributive law, identity law, complement law, involution law, DeMorgan’s laws, difference between converse, contrapositive, contradiction, applicationintroduction to switching circuits (simple examples) 
2. Matrices Elementary transformation of a matrix revision of cofactor and minor, elementary row transformation, elementary column transformation, inverse of a matrix existence and uniqueness of inverse of a matrix, inverse by elementary transformation, adjoint method, applicationsolution of system of linear equations by – reduction method, inversion method. 
3. Trigonometric functions Trigonometric equationsgeneral solution of trigonometric equation of the type : sinθ, = 0, cosθ = 0, tanθ = 0, sinθ = sinα, cosθ = cosα, tanθ = tanα, sin2θ = sin 2α, cos2θ = cos2α, tan2θ = tan2α, acosθ + bsinθ = C solution of a triangle : polar coordinates, sine rule, cosine rule, projection rule, area of a triangle, application, Hero’s formula, Napier Analogues, inverse trigonometric functionsdefinitions, domain, range, principle values, graphs of inverse trigonometric function, properties of inverse functions. 
PART 2
1. Continuity Continuity of a function at a point : left hand limit, right hand limit, definition of continuity of a function at a point, discontinuity of a function, types of discontinuity, algebra of continuous functions, continuity in intervaldefinition, continuity of some standard functions polynomial, rational, trigonometric, exponential and logarithmic function. 
2. Differentiation Revision revision of derivative, relationship between continuity and differentiabilityleft hand derivative and right hand derivative (need and concept), every differentiable function is continuous but converse is not true, Derivative of composite functionchain rule, derivative of inverse function, derivative of inverse trigonometric function : Derivative of implicit function definition and examples, derivative of parametric function – definition of parametric function , exponential and logarithmic function derivative of functions which are expressed in one of the following form a) product of functions, b) quotient of functions, c) higher order derivative, second order derivative 
3. Applications of derivative Geometrical applicationtangent and normal at a point, Rolle's theorem, and Mean value theorem and their geometrical interpretation (without proof), derivative as a rate measureintroduction, increasing and decreasing function, approximation (without proof), Maxima and minima introduction of extrema and extreme values, maxima and minima in a closed interval, first derivative test, second derivative test. covariance for bivariate frequency distribution, Karl Pearson’s coefficient of correlation. 
View full part 1 and part 2 of Maharashtra State Board HSC Mathematics and Statistics Syllabus 2023 from the pdf link below:
Download Maharashtra State Board HSC Mathematics and Statistics Syllabus 2023 PDF 
The Syllabus of Maharashtra Board Class 12^{th} Mathematics and Statistics syllabus has been designed considering the guidelines of Council of Board of School Education (COBSE) to maintain an uniformity in the science stream students who will be appearing for national level entrance exams.
The national level entrance exams are based on syllabus prescribed by National Council of Educational Research and Training (NCERT), therefore, the HSC Mathematics and Statistics has been designed on the Mathematics curriculum of NCERT.
All the best!