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In mathematics, relations and functions is one of the basic and important chapters that help to understand other numerous topics conveniently. There are tons of topics such as types of relations, one to one, composite functions, the inverse of a function and lastly binary operations that you will learn through our online class. However, most of the students find it hard to understand and end up facing problems with further topics. So, check out our Studykhazana online classes offered by Puneet Dogra in order to resolve your issues in respect of relations and functions with ease.


Lecture 1: Relations & functions Part-1

01:22:45

Lecture 2: Relations & functions Part-2

00:27:19
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In this section, you will learn:
1) Definition of Inverse Trigonometric Functions
2) Range of Inverse Trigonometric functions
3) Domain of Inverse Trigonometric Functions
4) Principle branch values
5) Graph of Inverse Trigonometric Functions
6) Elementary properties of Inverse Trigonometric functions


Lecture 1: Inverse Trigonometry - 1

00:40:57

Lecture 2: Inverse Trigonometry - 2

00:49:00

Lecture 3: Inverse Trigonometry- 3

00:56:27

Lecture 4: Inverse Trigonometry- 4

01:03:45

Lecture 5: Inverse Trigonometry- 5

01:07:07

Lecture 6: Inverse Trigonometry- 6

01:15:25

Lecture 7: Inverse Trigonometry- 7

00:44:56
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In this section, you will learn:
1) Concept, notation, order, equality and types of matrices
2) Zero matrix, transpose of a matrix, symmetric and skew symmetric matrices.
3) Simple properties of addition, subtraction and scaler multiplication
4) Non-commutativity of multiplication of matrices
5) Existence of non-zero matrices whose product is the zero matrix
6) Concept of elementary row and column operations
7) Invertible matrices and proof of uniqueness of inverse, if it exist. 


Lecture 1: Matrices Part - I

00:47:19

Lecture 2: Matrices Part - II

00:28:39

Lecture 3: Matrices Part - III

00:46:54

Lecture 4: Matrices Part - IV

00:52:32

Lecture 5: Matrices part - V

00:45:45

Lecture 6: Matrices Part - VI

01:02:40

Lecture 7: Matrices Part - VII

00:58:06
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In this section you will learn the following:
1) Determinant of square matrix
2) Properties of determinants
3) Minors
4) Co-factors
5) Application of determinant in finding area of a triangle
6) Adjoint and Inverse of a square matric


Lecture 1: Determinant Part 1

01:07:05

Lecture 2: Determinant Part 2

01:04:40

Lecture 3: Determinant Part- 3

00:45:28

Lecture 4: Determinant Part- 4

01:05:47

Lecture 5: Determinant Part- 5

01:00:59

Lecture 6: Determinant Part- 6

00:56:14

Lecture 7: Determinant Part- 7

01:03:12

Lecture 8: Determinant part- 8

00:42:52
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Continuity and differentiability, derivative of composite functions, chain rule, derivatives of inverse trigonometric functions, derivative of implicit functions. Concept of exponential and logarithmic functions.Derivatives of logarithmic and exponential functions. Logarithmic differentiation, derivative of functions expressed in parametric forms. Second order derivatives. Rolle's and Lagrange's Mean Value Theorems (without proof) and their geometric interpretation.


Lecture 1: Limits and Continuity- 1

00:49:43

Lecture 2: Limits and Continuity- 2

01:02:04

Lecture 3: Limit and Continuity- 3

00:48:56

Lecture 4: Differentiability- 4

00:52:37

Lecture 5: Differentiability- 5

01:02:18

Lecture 6: Differentiability- 6

01:01:04

Lecture 7: Differentiability- 7

00:53:28

Lecture 8: Differentiability- 8

01:00:51

Lecture 9: Differentiability- 9

01:01:14

Lecture 10: Differentiability- 10

01:05:37

Lecture 11: Derivatives- 11

00:43:03
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In this section, you will learn the following:
1) Applications of derivatives
2) Rate of change of bodies
3) increasing/ decreasing functions
4) Tangents and Normal
5) Use of derivatives in approximation
6) Maxima and Minima
7) Simple word problem


Lecture 1: Rate of Change- I

00:44:06

Lecture 2: Rate Of Change- II

00:39:40

Lecture 3: Increasing & Decreasing- I

00:56:02

Lecture 4: Increasing & Decreasing - II

00:44:40

Lecture 5: Tangents & Normals- I

00:30:19

Lecture 6: Tangents & Normals - II

00:39:55

Lecture 7: Tangents & Normals - III

00:43:35

Lecture 8: Maxima Minima- I

00:40:03

Lecture 9: Maxima Minima - II

00:53:26

Lecture 10: Maxima Minima- III

00:39:24

Lecture 11: Maxima Minima- IV

00:35:24

Lecture 12: Maxima & Minima- V

00:55:07

Lecture 13: Maxima & Minima- VI

00:35:20
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Integration as inverse process of differentiation.Integration of a variety of functions by substitution, by partial fractions and by parts, Evaluation of simple integrals of the following types and problems based on them.syllabus 12 maths integralsDefinite integrals as a limit of a sum, Fundamental Theorem of Calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals.


Lecture 1: Integration Part- 1

00:47:30

Lecture 2: Integration Part- 2

01:16:27

Lecture 3: Integration Part- 3

00:33:15

Lecture 4: Integration Part- 4

01:16:37

Lecture 5: Integration Part- 5

01:09:32

Lecture 6: Integration Part- 6

01:07:43

Lecture 7: Integration Part- 7

00:51:12

Lecture 8: Integration Part- 8

01:09:55

Lecture 9: Integration Part- 9

01:00:33

Lecture 10: Integration Part- 10

00:48:48

Lecture 11: Integration Part- 11

01:02:26

Lecture 12: Integration Part- 12

01:07:20

Lecture 13: Integration Part- 13

00:50:41

Lecture 14: Integration Part- 14

01:06:43

Lecture 15: Integration Part- 15

00:53:00

Lecture 16: Integration Part- 16

00:27:07

Lecture 17: Integration Part- 17

01:31:24

Lecture 18: Integration Part- 18

00:50:33

Lecture 19: Integration Part- 19

00:51:42

Lecture 20: Integration Part- 20

01:00:28

Lecture 21: Integration Part- 21

00:52:04

Lecture 22: Integration Part- 22

01:00:29

Lecture 23: Integration Part- 23

00:49:31

Lecture 24: Integration Part- 24

01:07:40
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Applications in finding the area under simple curves, especially lines, circles/parabolas/ellipses (in standard form only), Area between any of the two above said curves (the region should be clearly identifiable).


Lecture 1: Application of Integrations Part - 1

00:52:29

Lecture 2: Application of Integrations Part - 2

01:28:07

Lecture 3: Application of Integrations Part - 3

00:46:14
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Definition, order and degree, general and particular solutions of a differential equation.Formation of differential equation whose general solution is given.Solution of differential equations by method of separation of variables solutions of homogeneous differential equations of first order and first degree. Solutions of linear differential equation of the type:dy/dx + py = q, where p and q are functions of x or constants.

dx/dy + px = q, where p and q are functions of y or constants.


Lecture 1: Differential Equation Part - 1

01:11:47

Lecture 2: Differential Equation Part - 2

01:21:13

Lecture 3: Differential Equation Part - 3

01:14:13

Lecture 4: Differential Equation Part - 4

01:15:51

Lecture 5: Differential Equation Part - 5

01:04:26

Lecture 6: Differential Equation Part - 6

00:56:35

Lecture 7: Differential Equation Part - 7

01:17:02
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Vectors and scalars, magnitude and direction of a vector.Direction cosines and direction ratios of a vector. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Definition, Geometrical Interpretation, properties and application of scalar (dot) product of vectors, vector (cross) product of vectors, scalar triple product of vectors.


Lecture 1: Vector Part 1

01:27:16

Lecture 2: Vector Part-2

01:09:11

Lecture 3: Vector Part - 3

01:14:08

Lecture 4: Vector Part - 4

01:21:57
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In this section, you will learn the following:
1) Direction Cosines and direction ratios of a line joining two points.
2) Cartesian Equation and Vector Equation of a line.
3) Coplanar and skew lines
4) Shortest distance between two lines.
5) Cartesian and vector equation of a plane.
6) Angles between a) Two lines  b) Two Planes  c) a line and a plane
7) Distance of a point from a plane.


Lecture 1: 3D Part - I

00:39:08

Lecture 2: 3D Part - II

00:51:43

Lecture 3: 3D Part - III

00:48:43

Lecture 4: 3D Part - IV

00:47:01

Lecture 5: 3D Part - V

00:36:34

Lecture 6: 3D Part - VI

00:17:33
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In this section, you will learn the following:
1) Introduction
2) Related terminology like constraints, objective function, optimization and different types of linear programming problems.
3) Mathematical formulation of L.P Problems.
4) Graphical method of solution for problems in two variables: feasible and infeasible regions.
5) feasible and infeasible solutions
6) Optimal feasible solutions


Lecture 1: Linear Programming - I

00:49:48

Lecture 2: Linear Programming - II

00:33:02

Lecture 3: Linear Programming - III

00:27:19
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Conditional probability, multiplication theorem on probability. independent events, total probability, Baye's theorem, Random variable and its probability distribution, mean and variance of random variable. Repeated independent (Bernoulli) trials and Binomial distribution.


Lecture 1: Probability Part- 1

01:09:21

Lecture 2: Probability Part- 2

00:36:52

Lecture 3: Probability Part- 3

01:21:32

Lecture 4: Probability Part- 4

00:59:02

Lecture 5: Probability Part- 5

00:50:18

Lecture 6: Probability Part- 6

01:00:53

Lecture 7: Probability Part- 7

01:12:46

Lecture 8: Probability Part- 8

00:51:15

Lecture 9: Probability Part- 9

01:06:27

Lecture 10: Probability Part- 10

00:23:22
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Published    27-Apr-2017      Bilingual

As per the syllabus, you will study the following chapters:
1) Relations and fundtions
2) Inverse Trigonometric Function
3) Matrices
4) Determinants
5) Continuity and Differentiability
6) Application of Derivatives
7) Integrals
8) Applications of Integrals 
9) Differential Equations
10) Vector Algebra
11) Three Dimensional Geometry
12) Linear Programming
13) Probability

Puneet Dogra

Phone: 95********94 Email: pun********@gmail.com
Address: Institute:

About Us

Hello, I am Puneet Dogra faculty of Study Khazana. I am a very passionate teacher. I am going to change your experience of learning maths. My way of teaching will surely lead you to your desired scores or may be more.Moreover I will give some magical tips to make maths much easier for you.


Qualification

My highest qualification is MSc. in Mathematics from DU.


Biography

I have experience of more than 5 years in teaching.

GOOD TEACHER VERY NICE

WOOWWW I LAERNT MATHS VERY EASILY

Nice Lecture

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