ISC Class 11 Mathematics Syllabus 202324
CISCE has released the Latest Updated Syllabus of the New Academic Session 202324, for class 11. It is available under the ‘‘Regulations and Syllabuses’ page of ISC 2025 on www.cisce.org.
Class 11th Syllabus has been released by CISCE. It’s very important for both Teachers and Students to understand the changes and strictly follow the topics covered in each subject under each stream for Class 11th.
We have also updated Oswal Gurukul Books as per the Latest Paper Pattern prescribed by CISCE Board for each Subject Curriculum.
Students can directly access the ISC Mathematics Syllabus for Class 11 of the academic year 202324 by clicking on the link below.
PDF download links to the latest Class 11 Mathematics Syllabus for 202324 academic session
ISC Mathematics Class 11 Latest Syllabus 202324
There will be two papers in the subject:
Paper I: Theory  3 hours ... 80 marks
Paper II: Practical  3 hours ... 20 marks
Distribution Of Marks For The Theory Paper
S.No.  UNIT  TOTAL WEIGHTAGE 
OR SECTION C: 15 Marks  
1.  Sets and Functions  20 Marks 
2.  Algebra  24 Marks 
3.  Coordinate Geometry  8 Marks 
4.  Calculus  6 Marks 
5.  Statistics & Probability  7 Marks 
SECTION B: 15 marks  
6.  Conic Section  7 Marks 
7.  Introduction to ThreeDimensional Geometry  5 Marks 
8.  Mathematical Reasoning  3 Marks 
OR SECTION C: 15 Marks 

9.  Statistics  5 Marks 
10.  Correlation Analysis  4 Marks 
11.  Index Numbers & Moving Averages  6 Marks 
TOTAL  80 Marks 
Paper I  theory  80 Marks
Note: All structures (internal and external) are required to be taught along with diagrams.
S.No  Unit  Topic  SubTopic  Marks 
SECTION A  
1.  Sets and Functions 
(i) Sets 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. Practical problems on union and intersection of two and three sets. Difference of sets. Complement of a set. Properties of Complement of Sets. (ii) Relations & Functions Ordered pairs, Cartesian product of sets. Number of elements in the cartesian product of two finite sets. Cartesian product of the set of reals with itself (upto R xR x R). Definition of relation, pictorial diagrams, domain, codomain and range of a relation. Function as a special type of relation. Function as a type of mapping, types of functions (one to one, many to one, onto, into) 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 quotient of functions.
 Cartesian Product (Cross) of two sets, cardinal number of a cross product. Relations as:  an association between two sets.  a subset of a Cross Product.  Domain, Range and Codomain of a Relation.  Functions:As special relations, concept of writing “y is a function of x” as y = f(x).  Introduction of Types: one to one, many to one, into, onto.  Domain and range of a function.  Sketches of graphs of exponential function, logarithmic function, modulus function, step function and rational function. (iii) Trigonometry 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 sin ^{2}x+cos ^{2}x=1, for all x. Signs of trigonometric functions. Domain and range of trignometric functions and their graphs. Expressing sin (x±y) and cos (x±y) in terms of sinx, siny, cosx & cosy and their simple applications. Deducing the identities like the following: $$tan (x±y)=\frac{tan x±tan y}{1±tanx\space tany}\\cot (x±y)=\frac{cotx\space coty±1}{cot y±cot x}\\sinα±sinβ=2sin\frac{1}{2}(α±β)cos\frac{1}{2}(α±β)\\cosα+ cosβ = 2 cos\frac{1}{2}(α+β) cos\frac{1}{2}(αβ)\\cosα cosβ = 2sin\frac{1}{2}(α+ β ) sin\frac{1}{2}(αβ)$$Identities related to sin 2x, cos2x, tan 2x, sin3x, cos3x and tan3x. General solution of trigonometric equations of the type siny = sina, cosy = cosa and tany = tana. Properties of triangles (proof and simple applications of sine rule cosine rule and area of triangle).

80 Marks  
2.  Algebra 
(i) 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. Using induction to prove various summations, divisibility and inequalities of algebraic expressions only. (ii) Complex Numbers Introduction of complex numbers and their representation, Algebraic properties of complex numbers. Argand plane and polar representation of complex numbers. Square root of a complex number. Cube root of unity.  Conjugate, modulus and argument of complex numbers and their properties.  Triangle inequality.  Square root of a complex number.  Cube roots of unity and their properties. (iii) Quadratic Equations Statement of Fundamental Theorem of Algebra, solution of quadratic equations (with real coefficients).
$$x=\frac{b±\sqrt{b^24ac}}{2a}$$
− Product and sum of roots. − Roots are rational, irrational, equal, reciprocal, one square of the other. − Complex roots  Framing quadratic equations with given roots. NOTE: Questions on equations having common roots are to be covered.
Where ‘a’ is the coefficient of x2 in the equations of the form ax ^{2} + bx + c = 0. Understanding the fact that a quadratic expression (when plotted on a graph) is a parabola.
Sign when the roots are real and when they are complex.
 Linear Inequalities Algebraic solutions of linear inequalities in one variable and their representation on the number line. Graphical representation of linear inequalities in two variables. Graphical method of finding a solution of system of linear inequalities in two variables. Selfexplanatory.  Quadratic Inequalities Using method of intervals for solving problems of the type:
A perfect square e.g.x ^{2}6x+9≥0  Inequalities involving rational expression of type f(x)/g(x)≤. etc. to be covered. (iv) Permutations and Combinations Fundamental principle of counting. Factorial n. (n!) Permutations and combinations, derivation of formulae for ^{P}n _{r} and ^{C}n _{r} and their connections, simple application.
 ^{n}P _{r} .  Restricted permutation.  Certain things always occur together.  Certain things never occur.  Formation of numbers with digits.  Word building  repeated letters  No letters repeated.  Permutation of alike things.  Permutation of Repeated things.  Circular permutation – clockwise counterclockwise – Distinguishable / not distinguishable.
 ^{n}C _{r} , ^{n}C _{n} =1, ^{n}C _{0} = 1, ^{n}C _{r} = ^{n}C _{n–r}, ^{n}C _{x} = ^{n}C _{y}, then x + y = n or x = y, ^{n+1}C _{r} = ^{n}C _{r1} + ^{n}C _{r} .  When all things are different.  When all things are not different.  Mixed problems on permutation and combinations. (v) Binomial Theorem History, statement and proof of the binomial theorem for positive integral indices. Pascal's triangle, General and middle term in binomial expansion, simple applications.
Questions based on the above. (vi) Sequence and Series Sequence and Series. Arithmetic Progression (A. P.). Arithmetic Mean (A.M.) Geometric Progression (G.P.), general term of a G.P., sum of first n terms of a G.P., infinite G.P. and its sum, geometric mean (G.M.), relation between A.M. and G.M. Formulae for the following special sums Σn,Σn ^{2},Σn ^{3}
 Tn = a + (n  1)d Sn =n/2{2a+(n1)d}  Arithmetic mean: 2b = a + c  Inserting two or more arithmetic means between any two numbers.  Three terms in A.P. : a  d, a, a + d  Four terms in A.P.: a  3d, a  d, a + d, a + 3d
Tn =ar ^{n1},S _{n}=a(r ^{n1})/r1  S _{∞}=a/(1r);r<1 Mean,b=√ ac  Inserting two or more Geometric Means between any two numbers.  Three terms are in G.P. ar, a, ar ^{1} Four terms are in GP ar ^{3}, ar, ar ^{1}, ar ^{3}
Identifying series as A.G.P. (when we substitute d = 0 in the series, we get a G.P. and when we substitute r =1 the A.P).
Using these summations to sum up other related expression. 

3.  Coordinate Geometry 
(i) Straight Lines Brief recall of twodimensional geometry from earlier classes. Shifting of origin. Slope of a line and angle between two lines. Various forms of equations of a line: parallel to axis, pointslope form, slope intercept 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.
Slope or gradient of a line.  Angle between two lines.  Condition of perpendicularity and parallelism.  Various forms of equation of lines.  Slope intercept form.  Twopoint slope form.  Intercept form.  Perpendicular /normal form.  General equation of a line.  Distance of a point from a line.  Distance between parallel lines.  Equation of lines bisecting the angle between two lines.  Equation of family of lines  Definition of a locus.  Equation of a locus. (ii) Circles
 Standard form.  Diameter form.  General form.  Parametric form.
 Given three non collinear points.  Given other sufficient data for example centre is (h, k) and it lies on a line and two points on the circle are given, etc.
 Condition for tangency  Equation of a tangent to a circle 

4.  Calculus 
(i) Limits and Derivatives Derivative introduced as rate of change both as that of distance function and geometrically. Intuitive idea of limit. Limits of polynomials and rational functions trigonometric, exponential and logarithmic functions. Definition of derivative relate it to scope of tangent of the curve, Derivative of sum, difference, product and quotient of functions. Derivatives of polynomial and trigonometric functions.
 Notion and meaning of limits. Fundamental theorems on limits (statement only).  Limits of algebraic and trigonometric functions.  Limits involving exponential and logarithmic functions. NOTE: Indeterminate forms are to be introduced while calculating limits.
 Meaning and geometrical interpretation of derivative.  Derivatives of simple algebraic and trigonometric functions and their formulae.  Differentiation using first principles.  Derivatives of sum/difference.  erivatives of product of functions. Derivatives of quotients of functions. 

5.  Statistics and Probability 
(i) Statistics Measures of dispersion: range, mean deviation, variance and standard deviation of ungrouped/grouped data. Analysis of frequency distributions with equal means but different variances.
(ii) 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 studied in earlier classes. Probability of an event, probability of 'not', 'and' and 'or' events.
 Definition of probability of an event  Laws of probability addition theorem. 

SECTION B  
6.  Conic Section 
Sections of a cone, 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.
 Definition of Foci, Directrix, Latus Rectum.  PS = ePL where P is a point on the conics, S is the focus, PL is the perpendicular distance of the point from the directrix. 
(i) Parabola e =1, y ^{2} = ±4ax, x ^{2} = 4ay, y ^{2} = 4ax, x ^{2} = 4ay, (y β) ^{2} =± 4a (x  α), (x  α) ^{2} = ± 4a (y  β).  Rough sketch of the above.  The latus rectum; quadrants they lie in; coordinates of focus and vertex; and equations of directrix and the axis.  Finding equation of Parabola when Foci and directrix are given, etc.  Application questions based on the above. (ii) Ellipse $$\frac{x^2}{y^2}+\frac{x^2}{y^2}=1e<1.b^2=a^2(1e^2)\\\frac{(xα)^2}{a^2}+\frac{(yβ)^2}{b^2}=1$$ Cases when a > b and a < b. Rough sketch of the above.  Major axis, minor axis; latus rectum; coordinates of vertices, focus and centre; and equations of directrices and the axes.  Finding equation of ellipse when focus and directrix are given.  Simple and direct questions based on the above.  Focal property i.e. SP + SP′ = 2a. (iii) Hyperbola $$\space \frac{x^2}{a^2}\frac{y^2}{b^2}=1,e>1,b^2=a^2(e^21)\\\space\frac{(xα)^2}{a^2}\frac{(yβ)^2}{b^2}=1$$ Cases when coefficient y2 is negative and coefficient of x2 is negative.  Rough sketch of the above.  Focal property i.e. SP  S’P = 2a.  Transverse and Conjugate axes; Latus rectum; coordinates of vertices, foci and centre; and equations of the directrices and the axes.
 Case 1: pair of straight line if abc+2fghaf ^{2}bg ^{2}ch ^{2}=0,  Case 2: abc+2fghaf ^{2}bg ^{2}ch ^{2}≠0, then represents a parabola if h ^{2}= ab, ellipse if h ^{2} < ab, and hyperbola if h ^{2} > ab.


7.  Introduction to threedimensional Geometry  Coordinate axes and coordinate planes in three dimensions. Coordinates of a point. Distance between two points and section formula.  As an extension of 2D  Distance formula.  Section and midpoint form 

8.  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 variety of examples related to the Mathematics and real life. Validating the statements involving the connecting words, Difference between contradiction, converse and contrapositive. Selfexplanatory. 

SECTION C  
9.  Correlation Analysis 


10.  Statistics 


11.  Index Numbers and Moving Averages 
(i) Index Numbers  Price index or price relative.  Simple aggregate method.  Weighted aggregate method.  Simple average of price relatives.  Weighted average of price relatives (cost of living index, consumer price index). (ii) Moving Averages  Meaning and purpose of the moving averages.  Calculation of moving averages with the given periodicity and plotting them on a graph.  If the period is even, then the centered moving average is to be found out and plotted. 
Paper II  Project Work  20 Marks
Candidates will be expected to have completed two projects, one from Section A and one from either Section B or Section C.
Mark allocation for each Project [10 marks]:
Internal Assessment
Description  10 Marks 
Overall format  1 mark 
Content  4 marks 
Findings  2 marks 
Vivavoce based on the Project  3 marks 
Total  10 marks 
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