Manipur State Board has published subject wise syllabus for this year Class 11 students in its official portal cohsem.nic.in Here we have published Class 11 COHSEM Syllabus 2024-25 for Maths subject. For more information regarding Council of Higher Secondary Education (COHSEM) Class 11 2024 Exam Date, Exam Pattern, Time, Date, How to prepare follow our website.
Board |
Council Of Higher Secondary Education (COHSEM) |
Topic |
Syllabus |
Subject |
Maths |
How to download Manipur Class 11 Syllabus 2024-25 – Maths?
- Step 1: Open your browser
- Step 2: Type cohsem.nic.in
- Step 3: Go to the Syllabus link active on the left panel of the home page of the website (Syllabus for Classes XI – XII).
- Step 4: Click on Class 11 Syllabus link 2024
Class 11 Maths
Units |
Unitwise Weightage | Marks |
Periods |
(I) | Sets, Relations and Functions [29 Marks] | ||
(1) Sets, Relations and Functions | 13 | 23 | |
(2) Trigonometric Functions | 16 | 29 | |
(II) | Algebra [37 Marks] | ||
(1) Complex Number, Quadratic Equations and Linear Inequalities | 13 | 23 | |
(2) Permutations, Combinations and Binomial Theorem | 15 | 27 | |
(3) Sequence and Series | 9 | 16 | |
(III) | Co-ordinate Geometry [13 Marks] | ||
(1) Straight Lines | 8 | 14 | |
(2) Circle, Conic Section and Introduction to Three-dimension Geometry | 8 | 14 | |
(IV) | Calculus [6 Marks] | ||
Limits and Derivatives | 6 | 12 | |
(V) | Statistics and Probability [12 Marks] | 12 | 22 |
Total |
100 |
180 |
Unit-I: Sets, Relations and Functions
(1) Sets
Sets and their representations, Finite and infinite sets, Empty set, Equal sets, Subsets, Subsets of the set of real numbers, especially intervals (with notations), Universal set, Venn diagrams, Complements of a set, Operation on sets (union and intersection and difference of sets).
(2) Relations and Functions
Ordered pairs, Cartesian product of sets, Number of elements in the Cartesian product of two finite sets. The product sets R×R (or R2) and R×R×R (or R3) where R is the set of real numbers.
Relation from one set to another, Domain and range of a relation. Function as a special kind of relation from one set to another. Domain, Co domain and range of a function. Diagramatic (Pictorial) representation of a function. Real valued function of a real variable and their domain and range. Some specific functions and their graphs including constant, identity, polynomial, rational, modulus, signum and greatest integer function. Sum, difference, product and quotients of real valued functions.
(3) Trigonometric functions
Positive and negative angles, Measurement of angles, Sexagesemal system and circular system, Conversion from one system to another. Definition of trigonometric functions with the help of unit circle. Signs of trigonometric functions (Quadrant Rule). The identity sin2x+cos2x =1. Graphs of trigonometric functions. To express cos (x±y) and sin(x ± y) in terms of sin x, sin y, cos x and cos y. Deduction of other addition and subtraction formulae. To express sin x ± sin y and cos x ± cos y as products. Identities related to multiple and submultiple angles.
Unit-II: Algebra
(1) Complex numbers and Quadratic Equations
Need for complex numbers. The fundamental imaginary √-1 unit (or i). Complex numbers in the form of a + ib, Real and imaginary parts of a complex number, Complex conjugates, Representation of a complex number by a point in a plane, Argand diagram, Modulus and argument (or amplitude) of a complex number, Algebra of complex numbers.
(2) Linear Inequalities.
Linear inequalities, Algebraic solution of linear inequalities in one variable and their representation on the number line.
(3) Premutations and Combinations
Fundamental principle of counting, Factorial n where n is a non-negative integer, Permutation as an arrangement, Meaning of nPr or P(n,r) (without proof), Permutations in which things (i) may be repeated (ii) are not all different. Combination, Meaning of nCr or C(n,r). Important properties of nPr and nCr. Applications of permutations and combinations.
(4) Binomial Theorem
Bionomial theorem for a positive integral index (proof). Pascal’s triangle, Equidistant terms, properties of Binomial co-efficients, Simple Applications.
(5) Sequence and Series.
Sequence and Series, Geometric progression (G.P.), First term, Common ratio, general term, sum to n terms of a G.P., Geometric Mean (G.M.), Insertion of geometric means between two numbers. Relation between A.M. and G.M. Infinite G.P. and its sum.
Unit-III: Coordinate Geometry
(1) Straight lines:
Brief recall of 2D geometry from earlier classes. Slope of a line and angle between two lines, various forms of equation of a straight line, Parallel to axes, slope-intercept form, point-slope form, two point form, intercepts form. Distance of a point from a line.
(2) Circle:
Definition, Equation of circle with given centre and radius, General equation of a circle, its centre and radius. Equation of a circle when the end points of a diameter are given. Interior and exterior of a circle.
(3) Conic section:
Sections of a cone. Definition of a conic section (without degenerated conic section). Equation of a conic section having given eccentricity, focus and directrix. Standard equation and simple properties of parabola, ellipse and hyperbola.
(4) Introduction to Three-dimentional Geometry:
Coordinate axes and coordinate planes in three dimensions. Coordinates of a point. Distance between two points.
Unit-IV: Calculus
Limits and derivatives:
Idea of limit, Left hand and right hand limits, conditions for existence of limit. Fundamental Theorem on limit (statement only) and standard limits
Derivative introduced as rate of change both as that of distance function and geometrically. Definition of derivative, relate it to slope of tangent to a curve; Derivative of sum, difference, product and quotient of functions. Derivative of polynomial and trigonometric functions.
Unit-V: Statistics and Probability
(1) Statistics:
Measure of dispersion, Mean deviation, Variance and Standard deviation of ungrouped/grouped data.
(2) Probability:
Events, occurrence of events, “not”, “and” & “or” events, exhaustive events, mutually exclusive events, Axiomatic (set theoretic) probability, connections with the theories of earlier classes. Probability of an event, probability of “not”, “and” & “or” events.
Design of Question Paper
Here on this page we have uploaded Maths subject syllabus 2024. You can download the complete syllabus from the link mentioned below: