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

Section 1: Inverse Trigonometry
(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) |
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Lecture 1 | Inverse Trigonometry - 1 () | ||

Lecture 2 | Inverse Trigonometry - 2 () | ||

Lecture 3 | Inverse Trigonometry- 3 () | ||

Lecture 4 | Inverse Trigonometry- 4 () | ||

Lecture 5 | Inverse Trigonometry- 5 () | ||

Lecture 6 | Inverse Trigonometry- 6 () | ||

Lecture 7 | Inverse Trigonometry- 7 () | ||

Section 2: Matrices
(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. ) |
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Lecture 1 | Matrices Part - I () | ||

Lecture 2 | Matrices Part - II () | ||

Lecture 3 | Matrices Part - III () | ||

Lecture 4 | Matrices Part - IV () | ||

Lecture 5 | Matrices part - V () | ||

Lecture 6 | Matrices Part - VI () | ||

Lecture 7 | Matrices Part - VII () | ||

Section 3: Determinants
(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) |
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Lecture 1 | Determinant Part 1 () | ||

Lecture 2 | Determinant Part 2 () | ||

Lecture 3 | Determinant Part- 3 () | ||

Lecture 4 | Determinant Part- 4 () | ||

Lecture 5 | Determinant Part- 5 () | ||

Lecture 6 | Determinant Part- 6 () | ||

Lecture 7 | Determinant Part- 7 () | ||

Lecture 8 | Determinant part- 8 () | ||

Section 4: Differentiability () | |||

Lecture 1 | Limits and Continuity- 1 () | ||

Lecture 2 | Limits and Continuity- 2 () | ||

Lecture 3 | Limit and Continuity- 3 () | ||

Lecture 4 | Differentiability- 4 () | ||

Lecture 5 | Differentiability- 5 () | ||

Lecture 6 | Differentiability- 6 () | ||

Lecture 7 | Differentiability- 7 () | ||

Lecture 8 | Differentiability- 8 () | ||

Lecture 9 | Differentiability- 9 () | ||

Lecture 10 | Differentiability- 10 () | ||

Lecture 11 | Derivatives- 11 () | ||

Section 5: Application of Derivatives
(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) |
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Lecture 1 | Rate of Change- I () | ||

Lecture 2 | Rate Of Change- II () | ||

Lecture 3 | Increasing & Decreasing- I () | ||

Lecture 4 | Increasing & Decreasing - II () | ||

Lecture 5 | Tangents & Normals- I () | ||

Lecture 6 | Tangents & Normals - II () | ||

Lecture 7 | Tangents & Normals - III () | ||

Lecture 8 | Maxima Minima- I () | ||

Lecture 9 | Maxima Minima - II () | ||

Lecture 10 | Maxima Minima- III () | ||

Lecture 11 | Maxima Minima- IV () | ||

Lecture 12 | Maxima & Minima- V () | ||

Lecture 13 | Maxima & Minima- VI () | ||

Section 6: 3D
(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.) |
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Lecture 1 | 3D Part - I (In this session you will learn about 3D Gemetry.) | ||

Lecture 2 | 3D Part - II (In this session you will learn about 3D Geometry.) | ||

Lecture 3 | 3D Part - III (In this session you will learn about 3D Geometry.) | ||

Lecture 4 | 3D Part - IV (In this session you will learn about 3D Geometry.) | ||

Lecture 5 | 3D Part - V (In this session you will learn about 3D Geometry.) | ||

Lecture 6 | 3D Part - VI (In this session you will learn about 3D Geometry.) | ||

Section 7: Linear Programming
(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) |
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Lecture 1 | Linear Programming - I (In this session you will learn about LPP.) | ||

Lecture 2 | Linear Programming - II (In this session you will learn about LPP.) | ||

Lecture 3 | Linear Programming - III (In this session you will learn about LPP.) | ||

Section 8: Probability () | |||

Lecture 1 | Probability Part- 1 () | ||

Lecture 2 | Probability Part- 2 () | ||

Lecture 3 | Probability Part- 3 () | ||

Lecture 4 | Probability Part- 4 () | ||

Lecture 5 | Probability Part- 5 () | ||

Lecture 6 | Probability Part- 6 () | ||

Lecture 7 | Probability Part- 7 () | ||

Lecture 8 | Probability Part- 8 () | ||

Lecture 9 | Probability Part- 9 () | ||

Section 9: Integration () | |||

Lecture 1 | Integration Part- 1 () | ||

Lecture 2 | Integration Part- 2 () | ||

Lecture 3 | Integration Part- 3 () | ||

Lecture 4 | Integration Part- 4 () | ||

Lecture 5 | Integration Part- 5 () | ||

Lecture 6 | Integration Part- 6 () | ||

Lecture 7 | Integration Part- 7 () | ||

Lecture 8 | Integration Part- 8 () | ||

Lecture 9 | Integration Part- 9 () | ||

Lecture 10 | Integration Part- 10 () | ||

Lecture 11 | Integration Part- 11 () | ||

Lecture 12 | Integration Part- 12 () | ||

Lecture 13 | Integration Part- 13 () | ||

Lecture 14 | Integration Part- 14 () | ||

Lecture 15 | Integration Part- 15 () | ||

Lecture 16 | Integration Part- 16 () | ||

Lecture 17 | Integration Part- 17 () | ||

Lecture 18 | Integration Part- 18 () | ||

Lecture 19 | Integration Part- 19 () | ||

Lecture 20 | Integration Part- 20 () | ||

Lecture 21 | uploaded soon () | ||

Lecture 22 | Integration Part- 22 () | ||

Lecture 23 | Integration Part- 23 () | ||

Lecture 24 | Integration Part- 24 () |

#### 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.

## Courses taught by Puneet Dogra

### INTRODUCTION TO NDA MATHS AND TRICKS ON CONTINUITY & DIFFERENTIABILITY

By Puneet Dogra