GSEB Class 11th Maths Syllabus 2022 PDF Download  Gujarat Board has released the syllabus of GSEB Class 11th Maths Syllabus 2022 along with the official notification on the official website  gsebeservice.com. The GSEB Class 11th Maths 2022 Syllabus pdf comprises the subjectwise topics which will be asked in the class 11 Maths exam. Students of Gujarat State Board Class 11th Maths can download the syllabus PDF from this page.
Gujarat Board Class 11 Maths Syllabus 202223 PDF
Using the GSEB Class 11th Maths Syllabus 2022 PDF, students can prepare their study schedule and exam preparation strategy. As the GSEB exam date has been released, candidates can plan their schedule according to it, therefore, they can prepare their syllabus of GSEB Class 11th Maths Exam 2022 accordingly. Along with the GSEB Class 11th Maths 2022 syllabus, candidates can also check the official Gujarat Board exam pattern and the previous year's Gujarat Board Class 11th Maths question papers.
Gujarat State Board Class 11th Maths Syllabus 2022 PDF Online
Name of the Board 
GSEB 
Name of the Grade 
11 
Subjects 
Maths 
Year 
202223 
Format 
PDF/DOC 
Provider 

Official Website 
gsebeservice.com 
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GSEB Class 11th Maths Syllabus 202223 PDF
Students of download the GSEB Class 11th Maths Syllabus 202223 PDF online using the links provided below:
TERM I 
Chapter 1 Mathematical Reasoning

Mathematically acceptable statements. Connecting words/ phrases  consolidating the understanding of 'if and only if (necessary and sufficient) condition', 'implies', 'and/or', 'implied by', 'and', 'or', 'there exists' and their use through a variety of examples related to real life and Mathematics. Validating the statements involving the connecting words, the difference among contradiction, converse and contrapositive.

Chapter 2 Set Theory 
Sets and their representations, Empty set, Finite and Infinite sets, Equal sets, Subsets, Subsets of a set of real numbers especially intervals (with notations). Power set. Universal set. Venn diagrams. Union and Intersection of sets. Difference of sets. Complement of a set. Properties of Complement.

Chapter 3 Relations and Functions 
Ordered pairs. Cartesian product of sets. The number of elements in the Cartesian product of two finite sets. Cartesian product of the set of reals with itself (up to R x R x R).Definition of relation, pictorial diagrams, domain, codomain and range of a relation. Function as a special type of relation. Pictorial representation of a function, domain, codomain and range of a function. Real valued functions, domain and range of these functions, constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic and greatest integer functions, with their graphs. Sum, difference, product and quotients of functions.

Chapter 4 Trigonometric Functions 
Positive and negative angles. Measuring angles in radians and in degrees and conversion from one measure to another. Definition of trigonometric functions with the help of unit circle. Truth of the identity sin2x + cos2x = 1, for all x. Signs of trigonometric functions. Domain and range of trigonometric functions and their graphs. Expressing sin (x±y) and cos (x±y) in terms of sin x, sin y, cos x & cos y and their simple applications. Deducing identities like the following
Identities related to sin2x, cos2x, tan2 x, sin3x, cos3x and tan3x. The general solution of trigonometric equations of the type siny = sina, cosy = cosa and tany = tana. 
Chapter 5 Special Values and Graphs of Trigonometric Functions

Introduction, Values of Tfunction at Tpoint on the axis, coordinates of P, Graphs of trigonometric functions, Angles with general measures and their trigonometric functions.

Chapter 6 Straight Lines 
Brief recall of twodimensional geometry from earlier classes. Shifting of origin. The slope of a line and angle between two lines. Various forms of equations of a line: parallel to axis, pointslope form, slopeintercept form, twopoint form, intercept form and normal form. General equation of a line. Equation of family of lines passing through the point of intersection of two lines. Distance of a point from a line.

Chapter 7 Permutations and Combinations

The fundamental principle of counting. Factorial n. (n!) Permutations and combinations, derivation of Formulae for NPR and NCR and their connections, simple applications.

Chapter 8 Linear Inequalities 
Linear inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number line. Graphical solution of linear inequalities in two variables. Graphical method of finding a solution to a system of linear inequalities in two variables.

Chapter 9 Dispersion 
Introduction, the measure of dispersion, Range, Average deviation, Median, Stand deviation.

Chapter 10 Probability 
Random experiments; outcomes, sample spaces (set representation). Events; occurrence of events, ‘not’, ‘and’ and ‘or’ events, exhaustive events, mutually exclusive events, Axiomatic (set theoretic) probability, connections with other theories of earlier classes. Probability of an event, probability of ‘not’, ‘and’ and ‘or’ events.

TERM II 
Chapter 1 Principle of Mathematical Induction

Process of the proof by induction, motivating the application of the method by looking at natural numbers as the least inductive subset of real numbers. The principle of mathematical induction and simple applications.

Chapter 2 Complex Numbers 
Need for complex numbers, especially 1, to be motivated by inability to solve some of the quadratic equations. Algebraic properties of complex numbers. Argand plane and polar representation of complex numbers.Statement of Fundamental Theorem of Algebra, solution of quadratic equations (with real coefficients) in the complex number system. The square root of a complex number.

Chapter 3 Binomial Theorem 
Historical perspective, statement and proof of the binomial theorem for positive integral indices. Pascal’s triangle, General and middle term in binomial expansion, simple applications.

Chapter 4 Addition and Factor Formulae

Introduction, addition formulae, Other formulae for allied numbers, Some important results.

Chapter 5 Values of Trigonometric Functions For Multiples and Submultiples

Introductions, Trigonometric functions of 2, Trigonometric functions of 3, Conditional identities,

Chapter 6 Trigonometric Equations and Properties of a Triangle

Introductions, Trigonometric equations, Properties of a triangle.

Chapter 7 Sequences and Series 
Sequence and Series. Arithmetic Progression (A. P.). Arithmetic Mean (A.M.) Geometric Progression (G.P.), general term of a G.P., the sum of n terms of a G.P., infinite G.P. and its sum, geometric mean (G.M.), the relation between A.M. and G.M. Formulae for the following special sums.

Chapter 8 Conics 
Sections of a cone: circles, ellipse, parabola, hyperbola, a point, a straight line and a pair of intersecting lines as a degenerated case of a conic section. Standard equations and simple properties of parabola, ellipse and hyperbola. Standard equation of a circle.

Chapter 9 Three Dimensional Geometry

Coordinate axes and coordinate planes in three dimensions. Coordinates of a point. Distance between two points and section formula.

Chapter 10 Limits 
Introduction and history, Intuitive idea of limits, formal definition of limits, algebra of limits, Limits of rational functions, trigonometric limit.

Chapter 11 Derivative 
Introduction, formal definition and examples, algebra of definition, some standard forms.

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