Mathematics notes for class 12

Mathematics notes for class 12

Mathematics notes for class 12 include all 7 chapters. We will cover mathematics notes of Functions and limits, differentiation,  Integration, Analytic Geometric ,linear Inequalities, Conic Section and Vectors.

CHAPTER 1

In this chapter we will cover about Functions and Limits. In this chapter we discuss the Domains and Range, type of functions, composition of functions and inverse of the function, theorems on limits, continuous and discontinuous functions and graphs. Every chapter include the detailed Mathematics notes for class 12

CHAPTER 2

In this chapter we will cover about Differentiation.  In this chapter we discuss the derivatives , theorems of differentiation, chain rules, derivatives of inverse functions, parametric equations , Implicit relations, Derivative of Trigonometric and Inverse Trigonometric functions. In the last we discuss the increasing and decreasing functions, relatives Extrema and critical values and points. Every chapter include the detailed Mathematics notes for class 12

CHAPTER 3

Mathematics notes for class 12 In this chapter we will cover about Integration. In this chapter we discuss the Integration or anti-derivative, then we feather discuss the Integration by the method of substitution, Integration by parts, definite Integrals and differential equations. Every chapter include the detailed Mathematics notes for class 12.

CHAPTER 4

In this chapter we will cover about Analytic Geometry. In this chapter we discuss the Coordination system, distance formula , Ratio formula , Translation and rotations axes. Then we feather discuss the equations of straight lines, slop of the line, position of the point with respect to line, distance of a point from a line, area of rectangular region, point of inter section of two lines, condition of concurrency of three straight lines, equation of lines though the point of intersection of two straight line.

CHAPTER 5

In this chapter we will cover about linear inequalities and linear programming. Every chapter include the detailed Mathematics notes for class 12.

CHAPTER 6

In this chapter we will cover about conics section.First of all we will cover about the introduction of conics section.Then we will solve the question related to circle elips , parabola and finally about the hyperbola. Every chapter include the detailed Mathematics notes for class 12.

CHAPTER 7

In this chapter we will cover about vectors.First of all we will cover about the introduction of vectors then introduction of vector space , scalar product of two vectors, vector product of two vectors, scalar triple product of vectors. Every chapter include the detailed Mathematics notes for class 12.

The student who are doing fsc pre engineering can take much benefit from these notes.
This whole content is about the Mathematics notes for class 12.You can also check about the mathematics notes for class 11.

Mathematics notes for class 11

Mathematics notes for class 11

Mathematics notes for class 11 include all 14 chapters. We will cover mathematics notes of algebra,Mathematical inductions.Trigonometric problem and their solution. Let us discuss about the chapters of mathematics for class 11.

CHAPTER 1 

Mathematics notes for class 11 include Chapter 1 is of Numbers Systems in which discussion of number system is present. Number system like Rational and Irrational numbers. Properties of real number. Complex numbers. And after the question on number system there are some question about the Real line, Geometrical representation of complex numbers and about the complex line.And finally discussion about finding of real and imaginary part of complex numbers.

CHAPTER 2

This chapter include the detail discussion and all related question of Sets, Functions and Groups.In    this chapter first of all we will cover the introduction of sets and then we go for operation on sets some thing about venn diagrams, operation on three sets properties on union and intersection,and then we will cover about the logic like inductive and deductive logic and the term related to logic like implimentation and conditional. We will cover about truth sets and finally we cover about the function like linear and quadratic functions, inverse of functions and about groups.

CHAPTER 3

Mathematics notes for class 11 include  chapter we will discuss about the question on Matrices and Determinants. In matrices we will cover the addition of matrices, scalar multiplication,subtraction of matrices and multiplication of two matrices.In Determinant singular , non singular , adjoint and inverse of matrices , properties of determinant and finally crammer rule.

CHAPTER 4

In this chapter we will cover about Quadratic Equations. Introduction of quadratic equation, solution of quadratic equation, Three cube root of unity, four fourth root of unity, polynomial function,synthetic division,Nature of the roots of quadratic equation. Every chapter include the detailed Mathematics notes for class 11

CHAPTER 5

This is a chapter of Partial Fractions. In this we will cover Rational fraction and resolution of rational fraction.

CHAPTER 6

It is a chapter of Sequence and Series. In this we cover introduction of sequence and series and then types of sequences , arithmetic progression , arithmetic mean, series, geometric mean, Harmonic progression , Relation between arithmetic  geometric and harmonic means and finally about the sigma notation.

CHAPTER 7

In this chapter we will cover about Permutation, Combination and Probability. In probability we will cover addition of probability and multiplication of probability.

CHAPTER 8

In this chapter we will cover about Mathematical Inductions and Binomial Theorem. Every chapter include the detailed Mathematics notes for class 11.

CHAPTER 9

In this chapter we will cover about Fundamentals of Trigonometry.Every chapter include the detailed Mathematics notes for class 11.

CHAPTER 10

In this chapter we will cover about Trigonometric Identities Sum and Difference of Angles. First of all we discuss the introduction of distance formula and Fundamental laws of trigonometry, then we feather discuss the Trigonometric Ratio of Allied Angles, Application basic identities, double angle Identities,Half angle Identities, Triple angle Identities, Sums,Difference and Product of Sines and Cosines.

CHAPTER 11

In this chapter we will cover about Trigonometric Functions and their Graphs. First of all we will discuss about the introduction then period of trigonometry , values of trigonometry and finally graphs of trigonometry.

CHAPTER 12

In this chapter we will cover about Application of Trigonometry.In this we will cover the introduction, tables of trigonometric ratio,solution of right triangle, oblique triangles and finally discuss about the area of triangles. Every chapter include the detailed Mathematics notes for class 11

CHAPTER 13

In this chapter we will cover about Inverse Trigonometric Functions. In this we will cover the introduction, Inverse Trigonometric Function, Inverse tangent function, Inverse Cotangent, Secant and Co-secant, then Domain and Ranges of Principal Trigonometric Function and Addition and Subtraction Formulas. Every chapter include the detailed Mathematics notes for class 11

CHAPTER 14

In this chapter we will cover about Solution of Trigonometric Equations.In this we will cover the Introduction, Solution of General Trigonometric Equations

Those student who are doing fsc pre engnieering part 1 can get the benifit from these notes.
 This whole content is about the Mathematics notes for class 11.These notes are specially for fsc students.