Mathematics is a science of numbers, formula of related structures, shapes and spaces in which they are contained and quantities and their changes. In this course of Class 12th mathematics you will learn about various important topics which are an integral part of higher level mathematics concepts. In this course the treatment and development of the various topics is logical with simple and lucid explanation. Every chapter begins with a mathematical quotation and a photograph of a renowned mathematician, which motivates the reader and creates interest.
Mathematics is a science of modelling, like this course contains probability which allows you to predict certain and impossible events by the help of several experiments. Overall this course aims to cover the whole spectrum of school providing the known on mathematics covering the learning objectives. This course have tried to provide communicative skills with different range of styles and various discussions followed by different level of Quiz in Analytical and creative manner.
Distinguishing features
Fully covers the latest syllabus as prescribed by CBSE.
The development of mathematical concept in each chapter is logical and simple and preparation of each new idea is based on the preceding one.
Step-Wise working rule approach has been suggested for problem solving and same is followed in Illustrative examples in every chapter
Each chapter contains practice tests with multiple tries which provides students with hints to solve the particular question and enhance their level of understanding.
At the end of every chapter there is chapter test, which allows students to test their knowledge of particular topic.
Learning Objectives
Enhancing the school based knowledge of the student at early level..
Making the course easy and sophisticated emphasizing competency based educational process.
With this course the learner particularly explores responds invents and bring out the meaning to the relevant things.
Students can construct sufficient knowledge of Mathematics
This course helps students to learn about many of the phenomena which they observe in their daily routine.
Requirements
Refine their literary sensibility and enrich their aesthetic life through different literary generes.
Student should have different language notice.
use a dictionary or Glossary available in the courses or library to access to difficult term.
Target Audience
Who is learning mathematics in class XII, student of class 11th &12th preparing for their Boards.
This course mainly targets the student preparing for some of the govt. examination particularly for teaching field
1.Relations
In this chapter, we shall study about a special kind of relation called equivalence relations.
2.Functions
In this chapter, we will study about different types of functions and their properties.
3.Inverse Trigonometric Functions
In this chapter, we shall study about inverse trigonometric function, it’s definition, range, domain, graphs and some elementary properties.
4.Algebra of Matrices
In this chapter, we shall study about matrices, types of matrices, operations on it and some properties.
5.Determinants
In this chapter, we shall learn about finding determinant of a given matrix and it’s applications.
6.Adjoint and Inverse of Matrices
In this Chapter, we shall learn about finding the inverse of a matrix and solving system of linear equations.
7.Continuity
In this chapter, we shall introduce the idea of continuity of a function at a point and on an interval. The study of continuity of function is based on limits. Continuity of a function on an interval helps us to study holes and jumps in the graph of the function, under consideration.
8.Differentiability
In this Chapter, we shall learn a new concept called differentiability of a function which is an important tool in calculus. Also we will define it’s relationship with continuity.
9.Differentiation – I, II
In this chapter, we shall study the derivatives of different types functions.
10.Differentiation - II
In this chapter, we shall study the method of solving equations which involve trigonometric functions of unknown angles.
11.Rolle’s Theorem and Lagrange’s Theorem
In this chapter, we shall study Rolle’s theorem and Lagrange’s theorem. These theorems would also help us to find a point on a curve where the tangent is horizontal or parallel to some chord of the curve.
12.Rate of Change of Quantities
In this chapter, we shall learn that if y is a derivable function of x, then the rate of change of y w.r.t. x is given by the derivative dy/dx . We shall use this knowledge to find the rate of change of one variable provided the rate of change of another related variable is given.
13.Increasing and Decreasing Functions
In this chapter, we shall study the use of derivative in examining the monotonic behaviour i.e., the increasing and decreasing behaviour of functions.
14.Tangents and Normals
In this chapter, we shall learn about finding the equations of tangent and normal to a given curve at any point on the curve.
15.Approximation by Differentials
In this chapter, we shall learn the method of finding approximate values of functions using differentials. This study would also help us to find approximate measure of relative error and percentage error in dependent variables.
16.Maxima and Minima
In this chapter, we shall learn the concept of derivative to calculate the maximum and minimum values of various functions.
17.Fundamental Integration Formulae
In this chapter, we shall learn a new aspect of calculus known as integral calculus which is nothing but the reverse process of differentiation. In this chapter, we shall confine ourselves to fundamental formulae of integration.
18.Integration by Substitutions
In this chapter, we shall learn about integrating a function which is not in standard form using substitutions.
19.Integration by Parts
In this chapter, we shall learn the method of integration when the integrand is a product of two functions.
20.Integration by Partial Fractions
In this chapter, we shall learn the method of integration by partial fractions. This method will help us to integrate any given rational function.
21.Integration Using Miscellaneous Substitutions
In this chapter, we shall learn the integration of some special kind of functions.
22.Definite Integral as Limit of a Sum
In this chapter, we shall define the definite integral of a function, as the limit of a sum.
23.Definite Integral by Using Indefinite Integrals
In this chapter, we shall study another method of evaluating definite integrals. This method would use the indefinite integral of the concerned definite integral.
24.Area of Bounded Regions Using Definite Integrals
In this chapter, we shall study the evaluation of the areas of bounded regions defined by given functions, we shall also require to draw rough sketches of the given functions.
25.Differential Equations
In this chapter, we shall learn about differential equations, i.e., equations involving independent variables, dependent variables and at least one differential of these variables.
26.Applications of Differential Equations
In this chapter, we shall learn the method of solving various types of practical problems arising in science and engineering by making use of methods of solving differential equations.
27.Vectors
In this chapter, we shall learn the algebra of vectors and the application of vectors to various type of geometrical and trigonometrical problems.
28.Scalar Product of Vectors
In this chapter, we shall learn a method of multiplying vectors.
29.Vector Product of Vectors
In this chapter, we shall learn the vector (or cross) product of two vectors. The cross product of two vectors is always a vector quantity.
30.Scalar Triple Product
In this chapter, we shall learn the method of finding a product of given three vectors involving both scalar product and vector product.
31.Straight Line in Space
In this chapter, we shall study the method of writing equation of a straight line which is in space.
32.Plane in Space
In this chapter, we shall consider methods of finding equation of a plane in various forms and various problems.
33.Linear programming-I
In this chapter, we shall learn the method of solving linear programming problems by revising the method of solving a system of linear inequations.
34.Linear Programming-II
In this chapter, we shall learn the method of solving various types of practical problems by reducing them to linear programming problems (LPP) and then solving them by using the methods of solving linear programming problems.
35.Conditional Probability
In this chapter, we shall learn the measure of the probability of an event occurring, given that another event has already occurred.
36.Multiplication Theorem on Probability
In this chapter, we shall study the method of evaluating probabilities of events relating to independent events and independent experiments.
37.Bayes’ Theorem
In this chapter, we shall describe the probability of an event, based on prior knowledge of conditions that might be related to the event.
38.Random Variables
In this section, we shall study probability distributions and frequency distributions which are based upon theoretical considerations.
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This course includes
Board
:
CBSE
Language
:
English
Quizzes
:
1000+
Lectures
:
Each topic
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