LACHIT – MATHEMATICS
- May 14, 2024 Last Updated
About Course
Welcome to LACHIT 35, a year-long coaching program designed to enhance your preparation for board and entrance exams. Our comprehensive course includes 5 days of full class, 1 day of revision, and a weekly Sunday examination to assess your progress. Our experienced faculty and personalized attention will help you achieve your academic goals. Join us today and unlock your true potential.
Revisions and doubt sessions will be continued until all the exams are over. This is a full integrated course of Mathematics for students of Class 12. This course will prepare the students for AHSEC Board, CBSE, JEE, ICAR-AIEEA, CEE, CUET and other competitive exams. This course is based on English medium with Assamese explanation for ease of understanding and better learning for students of Assam. This course aims to prepare the students to secure top grades and full marks in their exams.
What Will You Learn?
- This course aims at teaching full Mathematics course to the students of Class 12.
Course Content
Introduction
Chapter 1: Relations and Functions
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56:22
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46:31
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34:46
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Part 4: Ex 1.1 solutions
44:13 -
Part 5: Types of functions | Ex 1.2 introduction
33:03 -
Part 6: Exercise 1.2 solution
34:07 -
Part 7: exercise 1.2 solution
01:04:50 -
Part 8: Composition of functions and Invertible functions| Ex 1.3 introduction
45:20 -
Part 9: Exercise 1.3 solution
37:36 -
Part 10 : Exercise 1.3 solution | Binary Operations| Exercise 1.4 introduction
48:49 -
Part 11 : Binary Operations| Ex 1.4 solutions
44:14 -
Part 12: Exercise 1.4 solution| Binary Operations
26:55 -
One shot video
00:00
Chapter 2: Inverse Trigonometric Functions
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Domain and Range of Inverse Trigonometric Functions| Ex 2.1 introduction
29:34 -
Exercise 2.1 introduction | properties of ITF
35:10 -
Exersise 2.1 solutions
24:47 -
Exercise 2.2 introduction| properties of inverse trigonometric function
53:24 -
Exercise 2.2 solutions
53:45
Chapter 3: Matrices
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Exercise 3.1 introduction | Order, Types of matrices
33:20 -
Exercise 3.1 solutions
00:00 -
Operations on matrices | Exercise 3.2 introduction | Matrix addition and multiplication
00:00 -
Exercise 3.2 solutions | Part 1
00:00 -
Exercise 3.2 | Part 2
00:00 -
Exercise 3.3 introduction and solutions
00:00
Chapter 4: Determinants
Chapter 5: Continuity and Differentiability
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Concept of Continuity| Ex 5.1 introduction | Part 1
00:00 -
Concept of continuity | Ex 5.1 introduction| part 2
00:00 -
Concept of continuity| Ex 5.1 solutions
00:00 -
Concept of continuity| Ex 5.1 solutions| part 2
00:00 -
Concept of continuity | Ex 5.1 solutions | Part 3
00:00 -
Concept of Differentiability| Ex 5.2 introduction
00:00 -
Concept of differentiability| Ex 5.2 solutions
00:00 -
Derivatives of Implicit and Inverse trigonometric functions| Ex 5.3 Solutions
00:00 -
Derivative of exponential and logarithmic functions| Exercise 5.4 solutions
45:44 -
Exercise 5.5 introduction and solutions | part 1 | Logarithmic Differentiation
40:39 -
Exercise 5.5 introduction and solutions | part 2 | Logarithmic Differentiation
00:00 -
Exercise 5.5 Solution| Part3 |Logarithmic differentiation
00:00 -
Derivatives of the function in parametric form | Exercise 5.6 introduction and solutions
00:00 -
Second order derivatives | Exercise 5.7 Solutions
00:00 -
One shot video | common questions
00:00
Chapter 6: Applications of Derivatives
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Rate of change of quantities | 6.1 introduction
21:13 -
Exercise 6.1 solutions
00:00 -
Incresing and decreasing functions | Ex 6.2 intro
00:00 -
Exercise 6.2 solutions
00:00 -
00:00
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Maxima and minima | 6.5 introduction part 2
00:00
Chapter 7: Integrals
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Integrals | Exercise 7.1 Introduction and solutions | Method of inspection
46:37 -
Integrals Ex 7.2 introduction | Integration by substitutions
00:00 -
Integration by substitutions | Exercise 7.2 solutions
00:00 -
Integration using trigonometric identities | Exercise 7.3 solutions
00:00 -
Integration of some particular functions | Exercise 7.4 introduction
00:00 -
Integration of some particular functions | Exercise 7.4 solutions |
00:00 -
Integration by partial fraction | Exercise 7.5 introduction
00:00 -
Exercise 7.5 solutions | Partial fractions
00:00 -
Integration by parts | Exercise 7.6 introduction
00:00 -
Integration by parts | Exercise 7.6 solutions
00:00 -
Exercise 7.7 introduction and Solutions
00:00 -
Fundamental theorem of calculus | Exercise 7.9 introduction and solutions
00:00 -
Evaluation of definite Integrals by substitutions | Exercise 7.10 solutions
00:00 -
Properties of definite integrals | 7.11 Introduction
00:00 -
Exercise 7.11 solutions
00:00
Chapter 8: Applications of Integrals
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Applications of Integrals | Exercise 8.1 introduction
00:00 -
Exercise 8.1 solutions
00:00 -
One shot video l Common questions
00:00
Chapter 9: Differential Equations
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Order and degree of a Differential Equation | Ex 9.1 Introduction
00:00 -
Solution of differential equations
00:00
Chapter 10: Vector Algebra
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Exercise 10.1 introduction and solutions
48:22 -
Vector addition | Exercise 10.2 introduction
40:04 -
Section formula| Exercise 10.2 solutions
43:51 -
Dot or Scalar product | Exercise 10.3 Introduction
30:15 -
Exercise 10.3 solutions
00:00 -
Exercise 10.3 solution Part 2
00:00 -
Cross or Vector product| Exercise 10.4 introduction
00:00 -
Exercise 10.4 Solutions
00:00
Chapter 11: Three dimensional Geometry
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Direction cosines and Direction ratios of a line
00:00
Chapter 12: Linear Programming
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Solution of Linear programming problems | One questions all doubt clear
00:00
Chapter 13: Probability
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Conditional probability | Exercise 13.1 intro
00:00 -
Exercise 13.1 Solutions | Conditional probability
00:00 -
Multiplication theorem of Probability | Ex 13.2 introduction
00:00 -
Exercise 13.2 Solutions
00:00 -
Bayes theorem | important questions
00:00