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Curriculum for this course

140 Lessons
62:44:16 Hours

CHAPTER-1 Relations and Functions

9 Lessons
02:58:56 Hours

- Introduction and types of relations 00:25:14
- Problems 00:22:22
- Problems 00:23:47
- Functions 00:21:38
- Problems 00:19:33
- Composition of functions 00:09:46
- Invertible Functions 00:26:08
- Binary operations 00:27:41
- Summary 00:02:47

CHAPTER-2 Inverse Trigonometric Functions

3 Lessons
01:37:41 Hours

- Introduction 00:35:00
- Properties of inverse trigonometric functions 00:39:39
- Problems 00:23:02

CHAPTER-3 Matrices

9 Lessons
04:17:19 Hours

- Introduction 00:24:45
- Problems 00:34:40
- Operations on matrices 00:21:02
- Problems 00:41:10
- Problems 00:31:21
- Transpose of a matrix 00:16:38
- Symmetric and skew symmetric matrices 00:16:49
- Problems 00:28:50
- Elementary operation of a matrix, Invertible Matrices 00:42:04

CHAPTER-4 Determinants

12 Lessons
05:16:39 Hours

- Determinant 00:26:35
- Problems 00:13:00
- Properties of determinants 00:10:18
- Problems 00:45:32
- Area of triangle 00:38:38
- Minors and Cofactors 00:19:19
- Problems 00:32:00
- Adjoint and Inverse of a Matrix 00:18:38
- Problems 00:54:30
- Applications of Determinants and Matrices 00:20:19
- Problems 00:31:36
- Summary 00:06:14

CHAPTER-5 Continuity and Differentiability

17 Lessons
07:32:27 Hours

- Introduction, Continuity 00:38:35
- Problems 00:44:12
- Algebra of functions 00:30:27
- Differentiability 00:26:56
- Derivatives of some composite functions 00:17:56
- Derivatives of implicit functions 00:15:58
- Derivatives of inverse trigonometric functions 00:19:03
- Exponential and logarithmic functions 00:14:54
- problems 00:21:37
- Logarithmic Differentiation 00:27:14
- problems 00:48:08
- Derivatives of functions in parametric form 00:39:19
- second order derivatives 00:18:46
- Problems 00:28:39
- Mean value theorem 00:19:09
- Problems 00:36:17
- Summary 00:05:17

CHAPTER-6 Applications of Derivatives

9 Lessons
04:17:50 Hours

- Introduction, Rate of change of quantity 00:21:19
- Problems 00:26:51
- Increasing and decreasing functions 00:50:29
- Tangents and Normals 00:19:10
- Problems 00:25:14
- Approximations 00:37:57
- Maxima and minima 00:37:25
- Absolute maximum and minimum in a closed interval 00:15:39
- Problems 00:23:46

CHAPTER-7 Integrals

20 Lessons
07:53:26 Hours

- Introduction ,Integration 00:22:33
- Problems 00:21:31
- Problems 00:18:50
- Methods of Integration- Substitution Method 00:28:55
- Problems 00:30:21
- Integration using trigonometric identities 00:27:32
- Integration by Partial Fractions 00:31:33
- Problems 00:21:21
- Problems 00:38:19
- Integration by parts 00:17:36
- Problems 00:29:46
- Integrals of some more types 00:24:10
- Definite Integrals 00:23:18
- Problems 00:34:12
- Fundamental Theorem of Calculus 00:11:53
- Problems 00:12:24
- Problems 00:24:27
- Evaluation of definite integrals by substitution 00:22:02
- Some properties of definite integrals 00:15:04
- Problems 00:17:39

CHAPTER 8 - Applications Of Integrals

5 Lessons
02:40:54 Hours

- Area under Simple curves 00:26:01
- Problems 00:21:27
- Area of a region 00:42:36
- Area between two curves 00:40:23
- Problems 00:30:27

CHAPTER 9- Differential Equations

14 Lessons
06:17:11 Hours

- Order and degree of a differential equation 00:14:43
- General and particular solution of a differential equation 00:13:06
- Problems 00:11:02
- Formation of Differential Equation whose General Solution is given 00:40:44
- Problems 00:24:14
- Methods of solving first order ,first degree differential equations 00:16:53
- Problems 00:23:30
- Problems 00:36:01
- Problems 00:26:28
- Homogeneous differential equations 00:36:19
- Problems 00:50:05
- Linear differential equations 00:23:49
- Problems 00:29:00
- Problems 00:31:17

CHAPTER 10-Vector Algebra

10 Lessons
04:14:54 Hours

- Vector 00:27:00
- Addition of Vectors 00:17:58
- PROBLEMS 00:21:01
- PROBLEMS 00:33:11
- SECTION FORMULA 00:33:11
- PRODUCT OF VECTORS 00:32:59
- PROBLEMS 00:15:20
- PROBLEMS 00:25:26
- VECTOR PRODUCT OF TWO VECTORS 00:25:54
- PROBLEMS 00:22:54

CHAPTER 11: Three Dimensional Geometry

10 Lessons
03:59:01 Hours

- INTRODUCTION 00:12:53
- PROBLEMS 00:25:09
- EQUATION OF A LINE IN SPACE 00:24:17
- ANGLE BETWEEN TWO LINES 00:29:37
- SHORTEST DISTANCE BETWEEN TWO LINES 00:34:11
- PLANE 00:23:53
- EQUATION OF A PLANE 00:17:50
- INTERCEPT FORM 00:29:29
- COPLANARITY OF TWO LINES 00:18:54
- PROBLEMS 00:22:48

CHAPTER 12-Linear Programming

6 Lessons
02:55:55 Hours

- INTRODUCTION 00:35:39
- PROBLEMS 00:36:09
- PROBLEMS 00:16:38
- DIFFERENT TYPES OF LINEAR PROGRAMMING PROBLEMS 00:32:48
- PROBLEMS 00:23:30
- PROBLEMS 00:31:11

CHAPTER 13-Probability

12 Lessons
06:10:04 Hours

- CONDITIONAL PROBABILITY 00:23:20
- PROBLEM 00:51:42
- MULTIPLICATION THEOREM ON PROBABILITY 00:21:59
- PROBLEMS 00:19:36
- PROBLEMS 00:22:41
- BAYES' THEOREM 00:35:54
- PROBLEMS 00:22:33
- RANDOM VARIABLES AND PROBABILITY DISTRIBUTION 00:24:51
- PROBLEMS 00:33:35
- PROBLEMS 00:36:57
- BERNOULLI TRAILS AND BINOMIAL DISTRIBUTION 00:47:22
- PROBLEMS 00:29:34

Question Paper Discussion 1

2 Lessons
01:30:46 Hours

- Part I 00:46:11
- Part II 00:44:35

Question Paper Discussion Part 2

2 Lessons
01:01:13 Hours

- Part I 00:38:51
- Part II 00:22:22

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The International Institute of Language and Training (IILT Pvt. Ltd.) is the fastest-growing language training institute that aims to offer the best English language training programs and coaching in Kerala.

**Our mission is to ignite eager minds and create lifelong learners. The concept and format was envisioned by a group of English language experts and medical professionals who seek to help learners master language skills. At IILT, we’ve built on the promise of educating inquiring, inquisitive minds. We offer our students and nurses quality education programs where they can efficiently develop their proficiency in the English language. We’ve decoupled learning from the traditional classroom and reached out to accommodate students along learning paradigms, pedagogies, mapping successful outcomes with blended programs and multichannel offerings. Our goal is to not just train and develop candidates who can pass their respective English language tests but also serve as a premier English coaching academy. We are invested in innovating creative education and language programs, with a focus on student outcomes, research, scholarship, retention of expert faculty, and corporate philanthropy.**

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