Our Recommendations :-
Follow FB Page Facebook


CBSE class 11 commerce maths Important topics for theory 

CBSE class 11 commerce maths Important topics for theory :- we will provide complete details of CBSE class 11 commerce maths Important topics for theory  in this article.

CBSE class 11 commerce maths Important topics for theory

The Syllabus in the subject of Mathematics has undergone changes from time to time in accordance with growth of the subject and emerging needs of the society. Senior Secondary stage is a launching stage from where the students go either for higher academic education in Mathematics or for

CBSE class 11 commerce maths Important topics for theory

professional courses like Engineering, Physical and Bioscience, Commerce or Computer Applications. The present revised syllabus has been designed in accordance with National Curriculum Framework 2005 and as per guidelines given in Focus Group on Teaching of Mathematics 2005 which is to meet the emerging needs of all categories of students. Motivating the topics from real life situations and other subject areas, greater emphasis has been laid on application of various concepts.

CBSE class 11 commerce maths Important topics for theory

Important Note – Preparing for XI & XII Commerce?
CAKART provides Indias top faculty each subject video classes and lectures – online & in Pen Drive/ DVD – at very cost effective rates. Get video classes from CAKART.in. Quality is much better than local tuition, so results are much better.
Watch Sample Video Now by clicking on the link(s) below – 
For any questions Request A Call Back  

Objectives

The broad objectives of teaching Mathematics at senior school stage intend to help the students:

  • to acquire knowledge and critical understanding, particularly by way of motivation and visualization, of basic concepts, terms, principles, symbols and mastery of underlying processes and skills.
  • to feel the flow of reasons while proving a result or solving a problem.
  • to apply the knowledge and skills acquired to solve problems and wherever possible, by more than one method.
  • to develop positive attitude to think, analyze and articulate logically.
  • to develop interest in the subject by participating in related competitions.
  • to acquaint students with different aspects of Mathematics used in daily life.
  • to develop an interest in students to study Mathematics as a discipline.
  • to develop awareness of the need for national integration, protection of environment, observance of small family norms, removal of social barriers, elimination of gender biases.
  • to develop reverence and respect towards great Mathematicians for their contributions to the field of Mathematics.

CBSE class 11 commerce maths Important topics for theory

Exam Structure

Unit Topic Marks
I. Sets and Functions 29
II. Algebra 37
III. Coordinate Geometry 13
IV. Calculus 06
V. Mathematical Reasoning 03
VI. Statistics and Probability 12
Total  100

Unit-I: Sets and Functions

1. 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. Difference of sets. Complement of a set. Properties of Complement Sets. Practical Problems based on sets.

2. Relations & Functions

Ordered pairs, Cartesian product of sets. Number of elements in the cartesian product of two finite sets. Cartesian product of the sets of real (upto R x R). Definition of relation, pictorial diagrams, domain, co-domain and range of a relation. Function as a special kind of relation from one set to another. Pictorial representation of a function, 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 quotients of functions.

3. Trigonometric Functions

Positive and negative angles. Measuring angles in radians and in degrees and conversion of one into other. Definition of trigonometric functions with the help of unit circle. Truth of the sin2x+cos2x=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 application. Deducing identities like the following:

syllabus 11 maths1

Identities related to sin 2x, cos 2x, tan 2x, sin 3x, cos 3x and tan 3x. General solution of trigonometric equations of the type sin y = sin a, cos y = cos a and tan y = tan a.

Unit-II: Algebra

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.

2. Complex Numbers and Quadratic Equations

Need for complex numbers, especially √1, to be motivated by inability to solve some of the quardratic equations. Algebraic properties of complex numbers. Argand plane and polar representation of complex numbers. Statement of Fundamental Theorem of Algebra, solution of quadratic equations in the complex number system. Square root of a complex number.

3. 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 solution of system of linear inequalities in two variables.

4. Permutations and Combinations

Fundamental principle of counting. Factorial n. (n!)Permutations and combinations, derivation of formulae and their connections, simple applications.

5. 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.

6. 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 n terms of a G.P., Arithmetic and Geometric series infinite G.P. and its sum, geometric mean (G.M.), relation between A.M. and G.M. Formula for the following special sum:

syllabus 11 maths2

Unit-III: Coordinate Geometry

1. 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.

2. Conic Sections

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.

3. Introduction to Three–dimensional Geometry

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

Unit-IV: Calculus

Important Note – Preparing for XI & XII Commerce?
CAKART provides Indias top faculty each subject video classes and lectures – online & in Pen Drive/ DVD – at very cost effective rates. Get video classes from CAKART.in. Quality is much better than local tuition, so results are much better.
Watch Sample Video Now by clicking on the link(s) below – 
For any questions Request A Call Back  

1. Limits and Derivatives

Derivative introduced as rate of change both as that of distance function and geometrically.

Intutive idea of limit. Limits of polynomials and rational functions, trignometric, exponential and logarithmic functions. Definition of derivative, relate it to slope of tangent of a curve, derivative of sum, difference, product and quotient of functions. The derivative of polynomial and trignometric functions.

Unit-V: Mathematical Reasoning

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

Unit-VI: Statistics and Probability

1. 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.

2. 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 the theories of earlier classes. Probability of an event, probability of ‘not’, ‘and’ and ‘or’ events.

CBSE class 11 commerce maths Important topics for theory 

Hope you find it useful. To get more updates and information about the concerned doubts you have please write to us. Visit our site CAKART.in for more useful and valuable articles.

Recommended post :-CBSE class 11 commerce maths Important topics for theory 

CBSE class 11 commerce maths Important topics for theory 

Important Note – Preparing for XI & XII Commerce?
CAKART provides Indias top faculty each subject video classes and lectures – online & in Pen Drive/ DVD – at very cost effective rates. Get video classes from CAKART.in. Quality is much better than local tuition, so results are much better.
Watch Sample Video Now by clicking on the link(s) below – 
For any questions Request A Call Back  

CAKART provides India’s top class XI commerce  faculty video classes – online Classes – at very cost effective rates. Get class XI commerce Video classes from CAKART.in to do a great preparation for your exam.

Watch class XI commerce Economics sample video lectures Here
Watch class XI commerce Accounting Sample video lecture Here
Watch class XI commerce Mathematics Sample video lecture Here
For any questions chat with us by clicking on the chat button below or give a missed call at 9980100288

Study Material that you should use to prepare XI Commerce

To successfully prepare for XI Commerce you should use a combination of best faculty video lectures, best recommended scanners and books, and a lot of free notes, charts, pdf files available for free download from CAKART.

About Author: vinay karwasra

Leave a Reply

Your email address will not be published. Required fields are marked *

Chat with a counsellor
SIGN UP