ISC Class 11 Maths Syllabus
ISC Class 11 Maths Syllabus
ISC Class 11 Maths Syllabus is available for the students on the Extramarks website. Maths is an essential subject as it builds concepts that appear in the competitive examination. Students who will appear in the first-term ISC board must know the latest CBSE 2023-2024 Maths syllabus. Thus, students can refer to the syllabus while preparing for their board examinations as well as competitive examinations.
Class 11 ISC Maths Syllabus has three sections with segregated marks and total weightage. The syllabus is designed for the students to make them understand brief concepts and theorems. The topics under Section A include Mathematical Reasoning, Algebra, Trigonometry, and Calculus. Further in Section B, students will learn about Vector and Coordinate Geometry in three Dimensions. Finally, important topics under Section C include Statistics and Average Due Dates.
Students may refer to the ISC class 11 Maths syllabus on Extramarks. In addition, they may visit our website for the latest notification and updates on ICSE Solutions and ISC & ICSE Syllabus.
ISC Class 11 Maths Syllabus 2023-24
The below table offers the Class 11 Maths Syllabus and the Units under each section:
|Section A||1. Sets and Functions|
|3. Coordinate Geometry|
|5. Statistics and Probability|
|Section B||6. Conic Section|
|7. Introduction to three-dimensional Geometry|
|8. Mathematical Reasoning|
|Section C||9. Statistics|
|10. Correlation Analysis|
|11. Index Numbers and Moving Averages|
The ISC class 11 Maths syllabus Section A:
- Sets and Functions
- Relations and Functions
- Principle of Mathematical Induction
- Complex Numbers
- Quadratic Equations
- Permutations and Combinations
- Coordinate Geometry
- Straight Lines
- Limits and Derivatives
- Statistics and Probability
The ISC class 11 Maths syllabus Section B:
- Conic Section
- Introduction to three-dimensional Geometry
- Mathematical Reasoning
The ISC class 11 Maths syllabus Section C:
- Correlation Analysis
- Index Numbers and Moving Averages
The syllabus is segregated into three sections to enable students to acquire knowledge and understand the terms, concepts, symbols, and principles. In addition, the students will be able to develop their skills in computation, reading tables, charts, graphs etc. This part in Geometry has a lot of importance as it is used in other branches of Maths and Engineering.
Students can find all the detailed information on the syllabus on the Extramarks website. They can visit the website to get the syllabus for all the subjects of class 11 and class 12. Students can also check the latest updates on ICSE /ISC competitive exams.
ISC Class 11 Maths Syllabus Examination Paper Pattern
Students can refer to the ISC Class 11 Maths Syllabus throughout the year, but it is more beneficial when the exam dates approach. Furthermore, students must attempt one paper of three hours and 100 marks. There are three sections in the examination, section A, B, and C. Section A is compulsory for all candidates, but students can choose to attempt questions from either Section B or Section C.
Section A: Section A is of 80 marks. Students are required to attempt all questions. In addition, they will have an internal/multiple choice for three questions of four marks each and two questions of six marks each.
Section B and Section C: Under Section B and Section C, students must attempt all questions from one Section. Internal/multiple choice is offered in two questions of four marks each. The total marks allotted under Section B and C together is 20.
ISC Class 11 Maths Syllabus & Study Materials 2023-24
ISC Class 11 Maths Syllabus is available on the Extramarks website for the students to refer to as and when they need it. The syllabus is updated as per the latest ISC & ICSE syllabus. Students can visit the website to clear their doubts with help from the study materials. Furthermore, students may refer to the ICSE important questions, sample question papers, revision notes, and ICSE question papers of the past years.
Under the ISC Class 11 Maths Syllabus, the topics and subtopics are presented with a detailed explanation and breakdown of the marks. The syllabus covers all three important sections with detailed explanations. Students can visit the Extramarks website for the latest notification and updates in the ISC Class 11 Maths Syllabus.
Students can also download:
Benefits of studying from Class 11 ICSE Maths Syllabus
Some of the core benefits of ISC Class 11 Maths Syllabus include
- It defines all the concepts, topics and sub-topics that are a vital part of the Maths syllabus for class 11 ISC.
- The syllabus provides various examples that help students understand the concept better.
- Arithmetic and Pure Geometry is a part of the syllabus.
- The students can learn the fundamentals concerning angles, parallels, lines, and planes, similar triangles.
- Detailed explanation for the symmetry properties of chords and tangents of a circle.
- The syllabus is revised and updated with the latest ISC and ICSE syllabus.
Students may click here to access the ISC Class 11 Maths Syllabus on Extramarks.
ISC Maths Class 11 Syllabus
The syllabus is divided into three sections: A, B and C. Section A is compulsory. You have a choice of attempting questions from either Section B or Section C. There is one paper of three hours duration of 80 marks.
1. Sets and Functions
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 x R x R). Definition of relation, pictorial diagrams, domain, co-domain 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, co-domain 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.
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 sinx, siny, cosx & cosy and their simple applications.
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).
(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.
(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.
(iii) Quadratic Equations
Statement of Fundamental Theorem of Algebra, solution of quadratic equations (with real coefficients).
(iv) Permutations and Combinations
Fundamental principle of counting. Factorial n. (n!) Permutations and combinations, derivation of formulae for nPr and nCr and their connections, simple application.
(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.
(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.
3. Coordinate Geometry
(i) Straight Lines
Brief recall of two-dimensional 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, point-slope form, slope intercept form, two-point 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.
Equations of a circle in:
- Standard form.
- Diameter form.
- General form.
- Parametric form.
Given the equation of a circle, to find the centre and the radius.
Finding the equation of a circle.
- 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
(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.
5. Statistics and Probability
Measures of dispersion: range, mean deviation, variance and standard deviation of ungrouped/grouped data. Analysis of frequency distributions with equal means but different variances.
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.
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.
7. Introduction to three-dimensional Geometry
Coordinate axes and coordinate planes in three dimensions. Coordinates of a point. Distance between two points and section formula.
- As an extension of 2-D
- 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 Maths and real life.
Validating the statements involving the connecting words, Difference between contradiction, converse and contrapositive.
- Combined mean and standard deviation.
- The Median, Quartiles, Deciles, Percentiles and Mode of grouped and ungrouped data
10. Correlation Analysis
- Definition and meaning of covariance.
- Coefficient of Correlation by Karl Pearson.
- Rank correlation by Spearman’s (Correction included).
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.
FAQs (Frequently Asked Questions)
1. Where can I get the latest ISC Class 11 Maths Syllabus?
Students can download the latest Syllabus on the Extramarks website. The syllabus is provided with a detailed breakdown of chapters, marking scheme and weightage that each chapter holds. Further, the students can also download the sample papers, revision notes, and important questions.
2. Why is it essential to study from ISC Class 11 Maths Syllabus during preparation?
High-quality study material helps the students to score more in the exams. In addition, they get a proper explanation of core concepts and theorems. ISC Class 11 Maths Syllabus is a foundation for the upcoming year’s curriculum.
3. How many sections are in the Maths Syllabus for Class 11 ISC?
There are three sections in ISC Class 11 Maths Syllabus, namely Section A, Section B, and Section C. In Section A, students will learn about Mathematical Reasoning and Calculus. Further, Section B includes the Vector and Coordinate system, and Section C consists of Statistics and Coordinate Analysis.