In order to provide you with quality study material and help students to obtain excellent education, Globalshiksha has come up with Topchalks Class XI Maths for CBSE students. This pack consists of 2 CD which is designed strictly on the basis of CBSE syllabus. Every chapter is given in systematic form to make it comprehensive and easy for the students.  This CD is helpful for making strong foundation for your further studies.

Product Specifications

Chapters Covered

Sets

Ø Introduction, sets and their representations

Ø Empty sets, finite, infinite and equal sets

Ø Subset, power set, universal set and examples

Ø Intervals and Questions

Ø Venn diagrams, operations on sets

Ø Complement of set and questions

Ø Practical problems on union and intersection of two sets

Ø Properties of different sets

Ø Questions

Relations and Functions

Ø Cartesian product of sets and ordered pair and triplets

Ø Questions and properties of product of sets

Ø Cartesian product and relations

Ø Functions

Ø Identity, constant, polynomial, quadratic, cubic functions

Ø Rational, modulus, signum, greatest integer functions

Ø Algebra of Real Functions

Ø Domain, range, co-domain and examples

Ø Questions

Trigonometric Function

Ø Revision of Class X

Ø Degree measure

Ø Radian measure, relation bewtween degree and radian

Ø Trigonometric functions and sign of trigonometric functions

Ø Value of trigonometric

Ø Domain and range of trigonometric functions

Ø Graph of sin x and cos x

Ø Graph of tan x

Ø Trigonometric functions of sum and difference of two angles

Ø Trigonometric functions of sum and difference of two angles continued (product to sum and sum to product and some examples on these)

Ø Trigonometric ratios of 2A and 3A and questions

Ø Principal solutions of trigonometric equations

Ø Square form and linear form

Ø Multiplies of 18 degree, max/min values of (acosA + bcosA) and its Problems

Ø Solution of Triangle: Sine/Cosine and Projection Rule, Half angle formulae/Area of Triangle and itrs Problems

Principle of Mathematical Induction

Ø Principle of mathematical induction: Statements and examples

Ø Problems

Complex Number and Quadratic Equation

Ø Introduction of i and power of i

Ø Square root of negative real numbers

Ø Introduction of complex numbers and examples

Ø Addition and difference of complex numbers, properties of addition of complex numbers

Ø Multiplication of a complex numbers and its properties and identities

Ø Modulus and conjugate of complex numbers

Ø Properties of Conjugate of Complex Numbers

Ø Multiplicative Inverse and Quotient of Complex Numbers and examples

Ø Properties of Modulus of Complex Numbers

Ø Argand plane and polar representations, polar representation of complex number

Ø Conversion of cartesian to polar form and examples

Ø Questions

Ø Cube Root of Unity

Ø Square Root of Complex Numbers

Ø De-Moivre's Theorem

Linear Inequalities

Ø Inequalities, algebraic solutions of linear inequalities in one variable and their graphical representation

Ø Graphical solution of linear inequalities in two variables and examples

Ø Questions

Permutation and Combinations

Ø Fundamental Principle of Counting

Ø Factorial Notation and examples

Ø Permutations, theorem 1, 2, 3 and 4, permutations when all the objects are distinct and when all the objects are not distinct objects

Ø Combinations, theorem 5

Ø Properties of combinations

Ø Questions

Binomial Theorem

Ø Binomial Theorem for Positive Integral Indices

Ø Some special cases

Ø Question of exercise 8.1

Ø General Terms and Question of exercise 8.2

Ø Question of exercise 8.2

Ø Middle terms and Question of exercise 8.2

Ø Question of exercise 8.2 and example 9

Ø Examples on middle terms

Ø Problems

Ø Binomial Theorem for Rational Index

Ø Binomial Coefficients: Introduction and Examples

Sequence and Series

Ø Introduction of sequence and series and solve questions of exercise 9.1

Ø A.P.

Ø Questions of exercise 9.2

Ø G.P.

Ø Questions of exercise 9.3 and relationship between AM and GM

Ø Sum to n terms of special series

Ø Questions of exercise 9.4

Ø Examples

Ø Infinite Geometric Progression, Examples

Straight Lines

Ø Cordinate system in a plane, distance formula, section formula

Ø Questions of exercise 10.1

Ø Inclination of line, slope of a line, conditions for tow non vertical lines are parallel, conditions for two non vertical lines are perpendicular

Ø Angle between two lines, Colinearity of Three Points

Ø Various Forms of the Equation of a Line, horizontal and vertical lines, point-slope form

Ø Slope intercept form, two point form

Ø Intercept and normal form

Ø Questions

Ø General introduction of line, reduce to slope intercept, intercept, normal form

Ø Distance of a point from a line

Ø Distance b/w two parallel lines

Ø Equation of Parallel line

Ø Parametric Form of Equation of Line and its Applications

Ø Family of Lines and Miscellaneous Problems

Conic Section

Ø Circle, parabola, ellipse and hyprbola

Ø Diameter of circle and questions

Ø General equation of circle questions

Ø Special cases of equation of circle and questions

Ø Parabola and standard equations of parabola

Ø Focal chord, focal distance and latus rectum

Ø Introduction on shift of origin

Ø Ellipse, vertices, relation between semi major and semi minor axis, eccentricity

Ø Standard equation of ellipse

Ø Latus rectum of ellipse

Ø Hyperbola, eccentricity

Ø Standard equation of hyperbola and example

Ø Questions

Introduction to Three Dimensional Geometery

Ø Coordinate geometry and coordinates planes, coordinates of a point in space

Ø Distance between two points

Ø Section formula

Ø Questions

Limits and Derivative

Ø Introduction of limit

Ø Algebra of limit, limits of polynomials and rational functions

Ø Limits of trigonometric functions ,theorem 3 and 4 (sandwich form)

Ø Derivative and definition, theorem and example

Ø Algebra of derivative, derivative of polynomial functions

Ø Questions

Ø Derivative using Chain Rule

Mathematical Reasoning

Ø Mathematical Statement, Definition

Ø Negation and Compound Statements

Ø Special words and phrases: Connective And

Ø Connective Or and Quantifiers

Ø Implications

Ø Contrapositive/Converse and If only If

Ø Problems

Ø Validating Statements

Statistics

Ø Measures of dispersion, range, mean deviation, standard deviation

Ø Mean deviation for ungrouped gata and examples

Ø M. D  of Discrete Frequency Distribution about mean and median

Ø M. D  of continuous Frequency Distribution about mean

Ø M. D  of continuous Frequency Distribution about median

Ø Variance and standard deviation

Ø Variance and standard deviation of discrete frequency distribution and examples

Ø Variance and standard deviation of continuous frequency distribution and examples

Ø Step deviation method of finding variance and examples

Ø Analysis of frequency distributions

Ø Questions

Probability

Ø Introduction, sample space, random experiment

Ø Events, definition, types of events, impossible and sure events, simple and compound events

Ø Complimentary event, the event A or B, the event A and B, mutually exclusive, exhaustive events

Ø Axiomatic approach to probability, probability of equally likely outcomes, Probability of the event A or B

Ø Questions