FEARLESS INNOCENT MATH

https://youtube.com/channel/UCPhN5db0Tfa5YDpI9kRYAew

Subscribers	72,800
Views	18,987,672
Videos	630
Country	IN
Created	Feb 2014 (11 years old)
Topics	Knowledge
Actions	Copy all info to clipboard You can use it to paste it into ChatGPT and analyze the channel

Channel Title: FEARLESS INNOCENT MATH
Channel Description: Hello Friends
Welcome to you FEARLESS INNOCENT MATH Channel.
I Dr. Anuj Kumar (Assistant Professor)
Ph. D (National JRF/SRF Fellowship Holder), M. Sc (Gold Medalist), B. Sc (Gold Medalist).
My YouTube Channel will provide you Mathematics video lectures for B. Tech, B. Sc, M. Sc, NET, GATE, JAM, IIT JEE etc. 
You can watch all video lectures with the following playlists:
1: ENGINEERING MATHEMATICS-I (BAS103 / KAS103T)
2: ENGINEERING MATHEMATICS-II (BAS203/KAS203T)
3: MATHEMATICS-III (KAS301/KAS303)
4: MATHEMATICS-IV (BAS303/BAS403)
5: DISCRETE STRUCTURE & THEORY OF LOGIC (BCSS303) /DISCRETE MATHEMATICS
6: APPLICATION OF MATHEMATICS
7: SCIENTIFIC CALCULATOR LECTURE SERIES
 
FEARLESS INNOCENT MATH
(FEEL THE MATH, FEEL THE WORLD).

YouTube Handle
https://www.youtube.com/@dr.anuj.fearlessinnocentmath
<video>
L-2 DIRECTIONAL DERIVATIVE | ENGINEERING MATHEMATICS | VECTOR DIFFERENTIATION | MAXIMUM VALUE OF DD
Description: VECTOR CALCULUS | B. Sc | M. Sc | B. Tech
ENGINEERING MATHEMATICS-1 (UNIT-5) VECTOR CALCULUS 
ENGINEERING MATHEMATICS 1 (MODULE-4) VECTOR ALGEBRA

LECTURE CONTENT: 
SCALAR POINT FUNCTION,
GRADIENT OF SALAR FIELD DEFINITION,
UNIT NORMAL VECTOR TO THE SURFACE,
DIRECTIONAL DERIVATIVE DEFINITION,
EXAMPLE AND SOLUTION OF DIRECTIONAL DERIVATIVE,
ALL VARIATIONS OF DIRECTIONAL DERIVATIVE EXAMPLES,

Directional Derivative, Directional Derivative Engineering Mathematics, Directional Derivative Question, Directional Derivative of F(x, y, z), Directional Derivative Problems, Directional Derivative Examples, Directional Derivative, maximum rate of increase, greatest rate of increase, directional derivative of a function in the direction of a vector, maximum rate of increase, directional derivative in vector calculus, examples of Directional Derivative, problems on Directional Derivative, important examples of Directional Derivative, geometrical interpretation of Directional Derivative, Directional Derivative Vector, Directional Derivative of a function, directional derivative of 1/r in direction of r, directional derivative engineering maths , vector calculus directional derivative, how to find directional derivative, how to find directional derivative of a function, how to find directional derivative at a point, how to find directional derivative with gardient, Gradient of r r^n, Gradient of a Scalar Field, Gradient of 1/r, Gradient of r^n, Gradient of r, Gradient Definition, Gradient of a Scalar Point Function, gradient of a function, del operator, nebla operator, unit normal to the surface, properties of gradient, examples of gradient, concept of gradient, gradient, gradient of magnitude of position vector, gradient of r.

PLAYLIST LINKS: 
ENG. MATHEMATICS-1

Engineering Mathematics 1 (Unit-1) Matrices
1: https://www.youtube.com/watch?v=TsSwNdfTwFY&list=PL5Dqs90qDljVRsz1E2tnxpDBTRwZlvrHN&pp=gAQBiAQB
2: https://www.youtube.com/watch?v=TsSwNdfTwFY&list=PL5Dqs90qDljVTfWmYSWjD99kcqdkI5zMM&pp=gAQBiAQB

Engineering Mathematics 1 (Unit-2) Differential Calculus-1
1: https://www.youtube.com/playlist?list=PL5Dqs90qDljWEDk1CXQhpPHtzeIWosRU0
2: https://www.youtube.com/watch?v=J2KgxWa68Js&list=PL5Dqs90qDljVi1IPwOFK4kXxcnxQmeZrr&pp=gAQBiAQB

Engineering Mathematics 1 (Unit-3) Differential Calculus-2
1: https://www.youtube.com/playlist?list=PL5Dqs90qDljXP8miuhVaHWLR6ziasV7Zo
2: https://www.youtube.com/watch?v=URHYeZdb-As&list=PL5Dqs90qDljV4SDmLqEwh0yq0SEq_p-bH&pp=gAQBiAQB

Engineering Mathematics 1 (Unit-4) Multiple Integration
1:

2: https://www.youtube.com/watch?v=MqEpJ2Cys5k&list=PL5Dqs90qDljUXgzBtbiGkyah-C_ycjnDk&pp=gAQBiAQB

Engineering Mathematics 1 (Unit-5) Vector Calculus
1:

2: https://www.youtube.com/watch?v=LF8xRkDNgJ4&list=PL5Dqs90qDljXm4Q6htsu9C88_gSebN33z&pp=gAQBiAQB

Calculator Lecture Series
https://www.youtube.com/watch?v=hsLJr4NBRxA&list=PL5Dqs90qDljUjvFMDphFN6p4PtBTrD2VO&pp=gAQBiAQB

(COMMUNICATION LINKS) 
1. YOUTUBE CHANNEL LINK:
https://youtube.com/channel/UCPhN5db0Tfa5YDpI9kRYAew

2. TELEGRAM LINK: 
https://t.me/joinchat/dcF_jVk5hAZkNTQ1

3. FACEBOOK GROUP LINK: 
https://www.facebook.com/groups/296595364987666/?ref=share

By: Dr. Anuj Kumar
Ph. D, Gold Medalist in M. Sc & B.Sc.
National Fellowship (JRF & SRF) Holder During Ph. D.

Engineering Mathematics 1
Engineering Mathematics-I
Mathematics-1

@FEARLESS INNOCENT MATH  
#bas103 #mathematics1

AKTU Math Channel, Fearless Innocent Math, vector calculus playlist, vector playlist, vector calculus engineering mathematics, vector calculus engineering math, vector engineering mathematics, vector differentiation playlist, vector integration playlist, vector calculus BSc playlist, Engineering Mathematics 1 unit 5, vector differentiation & integration playlist, vector integration and differentiation, math 1 unit 5 playlist, kas103t playlist, mathematics 1 module 5 playlist, mathematics 1 unit 5 playlist, math 1 module 5 playlist, math 1 btech playlist, bsc vector integration playlist, vector application playlist, Engineering mathematics i playlist, math 1 unit 5 playlist, mathematics vector integration, engineering mathematics playlist aktu, engineering mathematics 1 vector, engineering mathematics 1 vector calculus, vector analysis bsc 1st year maths, vector differentiation engineering mathematics 1, vector algebra engineering mathematics, vector integration engineering mathematics, vector differential calculus engineering mathematics, mathematics 1 btech 1st year aktu, vector analysis btech 1st year, vector analysis engineering mathematics, vector analysis playlist, gradient divergence and curl, green gauss and stoke theorem.
</video>
<video>
LIOUVILLE'S EXTENSION OF DIRICHLET'S INTGRAL | DIRICHLET INTEGRAL AND LIOUVILLE'S THEOREM | EXAMPLES
Description: MULTIPLE INTEGRATION | B. Sc | M. Sc | B. Tech
ENGINEERING MATHEMATICS-1 (UNIT-4) MULTIPLE INTEGRATION
MULTIVARIABLE CALCULUS

LECTURE CONTENT: 
LIOUVILLE'S EXTENSION OF DIRICHLET'S INTGRAL,
LIOUVILLE'S EXTENSION OF DIRICHLET'S THEOREM,
DIRICHLET INTEGRAL AND LIOUVILLE'S THEOREM,
LIOUVILLE'S INTEGRAL EXAMPLES WITH SOLUTIONS,

Liouville's extension of Dirichlet Integral in 3 dimension, Dirichlet Integral, Dirichlet Integral with triple integrals, Liouville's extension of Dirichlet's theorem, Liouville's extension of Dirichlet's theorem proof, Use of Dirichlet Integral, Dirichlet Integral condition, Liouville's extension of Dirichlet's theorem examples,  evaluate triple integral by Liouville's extension of Dirichlet's theorem, How to use Dirichlet Integral, Dirichlet Integral in triple integration, proof of Dirichlet's Integral, Dirichlet's Integral in triple integrations, engineering mathematics 2, aktu math channel, Dirichlet Integral Questions, Dirichlet Integral theorem, Dirichlet Integral examples, Dirichlet Integral in Hindi, Dirichlet Integral aktu, Dirichlet integral and Liouville's theorem, Dirichlet's theorem BSc 1st year, Dirichlet theorem questions, Dirichlet's integral and its application, engineering mathematics Dirichlet integral, Dirichlet theorem engineering mathematics, Dirichlet theorem application, Dirichlet theorem application, application of Dirichlet theorem, application of Dirichlet's integral, Liouville's extension of Dirichlet's theorem questions, Liouville's extension of Dirichlet's theorem, Liouville's extension of Dirichlet's theorem problems.

PLAYLIST LINKS: 
ENG. MATHEMATICS-1

Engineering Mathematics 1 (Unit-4) Multiple Integration
1:

2: https://www.youtube.com/watch?v=MqEpJ2Cys5k&list=PL5Dqs90qDljUXgzBtbiGkyah-C_ycjnDk&pp=gAQBiAQB

Engineering Mathematics 1 (Unit-5) Vector Calculus
1:

2: https://www.youtube.com/watch?v=LF8xRkDNgJ4&list=PL5Dqs90qDljXm4Q6htsu9C88_gSebN33z&pp=gAQBiAQB

Calculator Lecture Series
https://www.youtube.com/watch?v=hsLJr4NBRxA&list=PL5Dqs90qDljUjvFMDphFN6p4PtBTrD2VO&pp=gAQBiAQB

(COMMUNICATION LINKS) 
1. YOUTUBE CHANNEL LINK:
https://youtube.com/channel/UCPhN5db0Tfa5YDpI9kRYAew

2. TELEGRAM LINK: 
https://t.me/joinchat/dcF_jVk5hAZkNTQ1

3. FACEBOOK GROUP LINK: 
https://www.facebook.com/groups/296595364987666/?ref=share

By: Dr. Anuj Kumar
Ph. D, Gold Medalist in M. Sc & B.Sc.
National Fellowship (JRF & SRF) Holder During Ph. D.

Engineering Mathematics 1
Engineering Mathematics-I
Mathematics-1

@FEARLESS INNOCENT MATH  
#bas103 #mathematics1

Differential calculus, differential calculus engineering mathematics, differential calculus b.sc 1st year, multivariable calculus 2 engineering mathematics, beta gamma functions - engineering mathematics, beta and gamma function bsc 1st year, multivariable calculus 2 aktu, multivariable calculus engineering mathematics, multivariable calculus btech 1st year, integral calculus engineering mathematics 1st year, integral calculus b.sc 2nd year, improper integrals beta and gamma functions, beta and gamma functions engineering mathematics, multivariable calculus 2 engineering mathematics aktu, multivariable calculus 2 engineering mathematics b tech, engineering mathematics unit 2, engineering mathematics unit 2 playlist, engineering math 2 unit 2 playlist, engineering math 2 unit 2, engineering mathematics 2 multivariable calculus 2, multivariable calculus engineering mathematics, multiple integration engineering mathematics 1, engineering mathematics multiple integration.
</video>
<video>
ENGINEERING MATHEMATICS 1 IMPORTANT TOPICS | IMPORATANT TOPICS IN MATHEMATICS i | BAS103 | AKTU
Description: ENGINEERING MATHEMATICS-1
SUBJECT CODE: BAS103
B. TECH 1ST YEAR 1ST SEMESTER
LECTURE CONTENT:
UPDATED ENGINEERING MATHEMATICS-1 IMPORTANT,
BAS103 ENGINEERING MATHEMATICS-1,
UNIT WISE LECTURES OF ENGINEERING MATHEMATICS-1,
ALL VIDEO LECTURES OF ENGINEERING MATHEMATICS-1,
PLAYLIST OF ENGINEERING MATHEMATICS-1,

aktu engineering mathematics 1, important topics in mathematics-i, important topics of engineering mathematics 1, Important Topic in Engineering Mathematics-I (BAS103), Engineering Mathematics-I, (BAS103), most Important Topic in Engineering Mathematics-I, mathematics-1 important topics, how to read mathematics, how to get 80% marks in mathematics-I, Very Important Topic in Engineering Mathematics-I, Important Topic in KAS-103T, AKTU mathematics -1 important topics, mathematics 1 for engineering, mathematics 1 important questions, aktu latest news, aktu mathematics 1, how to prepare mathematics

Engineering Mathematics 1
Engineering Mathematics-I
BAS103

PLAYLIST LINKS: 
ENG. MATHEMATICS-1

Engineering Mathematics 1 (Unit-4) Multiple Integration
1:

2: https://www.youtube.com/watch?v=MqEpJ2Cys5k&list=PL5Dqs90qDljUXgzBtbiGkyah-C_ycjnDk&pp=gAQBiAQB

Engineering Mathematics 1 (Unit-5) Vector Calculus
1:

2: https://www.youtube.com/watch?v=LF8xRkDNgJ4&list=PL5Dqs90qDljXm4Q6htsu9C88_gSebN33z&pp=gAQBiAQB

Calculator Lecture Series
https://www.youtube.com/watch?v=hsLJr4NBRxA&list=PL5Dqs90qDljUjvFMDphFN6p4PtBTrD2VO&pp=gAQBiAQB

(COMMUNICATION LINKS) 
1. YOUTUBE CHANNEL LINK:
https://youtube.com/channel/UCPhN5db0Tfa5YDpI9kRYAew

2. TELEGRAM LINK: 
https://t.me/joinchat/dcF_jVk5hAZkNTQ1

3. FACEBOOK GROUP LINK: 
https://www.facebook.com/groups/296595364987666/?ref=share

By: Dr. Anuj Kumar
Ph. D, Gold Medalist in M. Sc & B.Sc.
National Fellowship (JRF & SRF) Holder During Ph. D.

Engineering Mathematics 1
Engineering Mathematics-I
Mathematics-1

@FEARLESS INNOCENT MATH  
#bas103 #mathematics1
</video>
<video>
L-7 JACOBIAN OF IMPLICIT FUNCTIONS | JACOBIAN OF COMPOSITE FUNCTION | ENGINEERING MATHEMATICS
Description: DIFFERENTIAL CALCULUS-II | B. Sc | M. Sc | B. Tech
ENGINEERING MATHEMATICS-1 (UNIT-3) DIFFERENTIAL CALCULUS-II

LECTURE CONTENT: 
FORMULA FOR JACOBIAN,
IMPLICIT FUNCTIONS FOR JACOBIAN,
JACOBIAN IMPORTANT QUESTIONS, 
HOW TO FIND JACOBIAN OF IMPLICIT FUNCTIONS, 
JACOBIAN OF IMPLICIT FUNCTIONS,
EXAMPLE AND SOLUTION FOR JACOBIAN OF IMPLICIT FUNCTIONS,

Implicit function Jacobian, Implicit function theorem Jacobian, Jacobian of implicit function examples, Jacobian of Implicit Function Engineering Mathematics, Jacobian of Composite Function, Jacobian of Implicit Function Formula, Jacobians, implicit function, rule for Jacobian of implicit function,  jacobian and its basic properties, jacobian and its properties problems, jacobian functional dependence, dependent functions, jacobian problems and solutions, jacobian implicit function, jacobian important questions, Jacobian questions, jacobian engineering mathematics 1st year, jacobian engineering mathematics problems, jacobian engineering mathematics examples, important properties of Jacobians, jacobians properties, chain rule, jacobian of u v with respect to x y, definition of jacobian, application of jacobians, use of jacobians, working rule for jacobians, examples of jacobians, functional determinant, jacobian chain rule example, jacobian problems and solutions, Jacobian Engineering Mathematics, Jacobian B.Sc 1st year, Jacobian B. Sc 2nd Year, Jacobian with properties.

PLAYLIST LINKS: 
ENG. MATHEMATICS-1

Engineering Mathematics 1 (Unit-4) Multiple Integration
1:

2: https://www.youtube.com/watch?v=MqEpJ2Cys5k&list=PL5Dqs90qDljUXgzBtbiGkyah-C_ycjnDk&pp=gAQBiAQB

Engineering Mathematics 1 (Unit-5) Vector Calculus
1:

2: https://www.youtube.com/watch?v=LF8xRkDNgJ4&list=PL5Dqs90qDljXm4Q6htsu9C88_gSebN33z&pp=gAQBiAQB

Calculator Lecture Series
https://www.youtube.com/watch?v=hsLJr4NBRxA&list=PL5Dqs90qDljUjvFMDphFN6p4PtBTrD2VO&pp=gAQBiAQB

(COMMUNICATION LINKS) 
1. YOUTUBE CHANNEL LINK:
https://youtube.com/channel/UCPhN5db0Tfa5YDpI9kRYAew

2. TELEGRAM LINK: 
https://t.me/joinchat/dcF_jVk5hAZkNTQ1

3. FACEBOOK GROUP LINK: 
https://www.facebook.com/groups/296595364987666/?ref=share

By: Dr. Anuj Kumar
Ph. D, Gold Medalist in M. Sc & B.Sc.
National Fellowship (JRF & SRF) Holder During Ph. D.

Engineering Mathematics 1
Engineering Mathematics-I
Mathematics-1

@FEARLESS INNOCENT MATH  
#bas103 #mathematics1

Differential calculus engineering mathematics b tech 1st year, mathematics 1 playlist, engineering mathematics 1st semester, math 1 btech playlist, Engineering Mathematics 1 by Anuj Sir, bsc math playlist, bsc mathematics playlist, partial differentiation playlist, mathematics 1 playlist, math 1 unit 3 playlist, btech mathematics playlist, mathematics 1 module 3 playlist, mathematics 1 unit 3 playlist, math 1 module 3 playlist, partial differentiation and their application playlist, differential calculus engineering mathematics 1 btech 1st year, differential calculus 2 engineering mathematics 1, differential calculus 1st year engineering, differential calculus 2 btech 1st year, differential calculus bsc 1st year, differential calculus bsc playlist, differential calculus bsc 1st year unit 2, differential calculus part 2, playlist, differential calculus-2 playlist, Engineering Mathematics 1 chapter 3, engineering mathematics 1st year module 3, engineering mathematics 1st year chapter 3, engineering mathematics 1st year unit 3, engineering mathematics 1st semester, partial differentiation bsc 1st year, partial differentiation engineering mathematics playlist, partial differentiation engineering mathematics 1 playlist, partial differentiation engineering mathematics 1st year, partial differentiation and applications engineering mathematics, calculus engineering mathematics 1st year, AKTU math channel, fearless innocent math.
</video>
<video>
CHANGE OF ORDER OF INTEGARTION | ENGINEERING MATHS | DOUBLE INTEGRAL BY CHANGE OF ORDER | IMPORTANT
Description: MULTIPLE INTEGRATION | B. Sc | M. Sc | B. Tech
ENGINEERING MATHEMATICS-1 (UNIT-4) MULTIPLE INTEGRATION
MULTIVARIABLE CALCULUS

LECTURE CONTENT: 
DOUBLE INTEGRAL,
NEED OF CHANGE OF ORDER OF INTEGRATION IN DOUBLE INTEGRAL,
HOW TO CHANGE OF ORDER OF INTEGRATION IN DOUBLE INTEGRAL,
WORKING RULE TO CHANGE OF ORDER OF INTEGRATION,
HOW TO TAKE LIMITS IN DOUBLE INTEGRAL,
EXAMPLE BASED ON DOUBLE INTGRATION,
EXAMPLE BASED ON CHANGE OF ORDER OF INTEGRATION,

Change of Order of Integration, Change of Order of Integration engineering maths, Change of Order of Integration engineering mathematics, Change of Order of Integration examples, evaluate by Change of Order of integration, Change of Order of Integration Important Questions, double integral engineering mathematics, change of order trick, change of order of integration in double integrals, Change of order of integration, Concept of Change of order of double integration,  Method of Change of order of integration, How to Change of order of integration, double integration, solve by change of order, application of change of order, working rule of Change of order of integration, integration by changing its order, change of order, examples of change of order of integration, use of Change of order of double integration.

PLAYLIST LINKS: 
ENG. MATHEMATICS-1

Engineering Mathematics 1 (Unit-4) Multiple Integration
1:

2: https://www.youtube.com/watch?v=MqEpJ2Cys5k&list=PL5Dqs90qDljUXgzBtbiGkyah-C_ycjnDk&pp=gAQBiAQB

Engineering Mathematics 1 (Unit-5) Vector Calculus
1:

2: https://www.youtube.com/watch?v=LF8xRkDNgJ4&list=PL5Dqs90qDljXm4Q6htsu9C88_gSebN33z&pp=gAQBiAQB

Calculator Lecture Series
https://www.youtube.com/watch?v=hsLJr4NBRxA&list=PL5Dqs90qDljUjvFMDphFN6p4PtBTrD2VO&pp=gAQBiAQB

(COMMUNICATION LINKS) 
1. YOUTUBE CHANNEL LINK:
https://youtube.com/channel/UCPhN5db0Tfa5YDpI9kRYAew

2. TELEGRAM LINK: 
https://t.me/joinchat/dcF_jVk5hAZkNTQ1

3. FACEBOOK GROUP LINK: 
https://www.facebook.com/groups/296595364987666/?ref=share

By: Dr. Anuj Kumar
Ph. D, Gold Medalist in M. Sc & B.Sc.
National Fellowship (JRF & SRF) Holder During Ph. D.

Engineering Mathematics 1
Engineering Mathematics-I
Mathematics-1

@FEARLESS INNOCENT MATH  
#bas103 #mathematics1

Differential calculus, differential calculus engineering mathematics, differential calculus b.sc 1st year, multivariable calculus 2 engineering mathematics, beta gamma functions - engineering mathematics, beta and gamma function bsc 1st year, multivariable calculus 2 aktu, multivariable calculus engineering mathematics, multivariable calculus btech 1st year, integral calculus engineering mathematics 1st year, integral calculus b.sc 2nd year, improper integrals beta and gamma functions, beta and gamma functions engineering mathematics, multivariable calculus 2 engineering mathematics aktu, multivariable calculus 2 engineering mathematics b tech, engineering mathematics unit 2, engineering mathematics unit 2 playlist, engineering math 2 unit 2 playlist, engineering math 2 unit 2, engineering mathematics 2 multivariable calculus 2, multivariable calculus engineering mathematics, multiple integration engineering mathematics 1, engineering mathematics multiple integration.
</video>
<video>
BETA GAMMA FUNCTION IMPORTANT QUESTIONS | BETA AND GAMMA FUNCTION EXAMPLES | ENGINEERING MATHEMATICS
Description: MULTIPLE INTEGRATION | B. Sc | M. Sc | B. Tech
ENGINEERING MATHEMATICS-1 (UNIT-4) MULTIPLE INTEGRATION
MULTIVARIABLE CALCULUS

LECTURE CONTENT: 
BETA AND GAMMA FUNCTION,
RELATION BETWEEN BETA AND GAMMA FUNCTION,
EXAMPLES ON BETA AND GAMMA FUNCTION WITH SOLUTION,
EXAMPLES OF GAMMA FUNCTION,
EXAMPLES OF BETA FUNCTION,

Beta function problems, Beta function examples, Beta function questions, Beta function in integration, Beta function problems with solution, Beta function and Gamma function, examples of Beta function, Gamma Function engineering mathematics, Gamma Function problems, Gamma Function in integrations, Gamma Function questions, examples of Gamma Function,  Relation between beta and gamma function in hindi, Value of gamma 1/2, examples based on Relation between beta and gamma function, examples of beta and gamma function, problems on beta and gamma function, beta gamma functions engineering mathematics, beta and gamma functions btech 1st year, beta and gamma function bsc 1st year, beta function bsc 1st year, beta gamma relation problems, beta gamma function relation engineering mathematics, beta gamma function important question, beta gamma function bsc 2nd year, beta gamma function bsc 1st year, beta gamma function btech 1st year.

PLAYLIST LINKS: 
ENG. MATHEMATICS-1

Engineering Mathematics 1 (Unit-4) Multiple Integration
1:

2: https://www.youtube.com/watch?v=MqEpJ2Cys5k&list=PL5Dqs90qDljUXgzBtbiGkyah-C_ycjnDk&pp=gAQBiAQB

Engineering Mathematics 1 (Unit-5) Vector Calculus
1:

2: https://www.youtube.com/watch?v=LF8xRkDNgJ4&list=PL5Dqs90qDljXm4Q6htsu9C88_gSebN33z&pp=gAQBiAQB

Calculator Lecture Series
https://www.youtube.com/watch?v=hsLJr4NBRxA&list=PL5Dqs90qDljUjvFMDphFN6p4PtBTrD2VO&pp=gAQBiAQB

(COMMUNICATION LINKS) 
1. YOUTUBE CHANNEL LINK:
https://youtube.com/channel/UCPhN5db0Tfa5YDpI9kRYAew

2. TELEGRAM LINK: 
https://t.me/joinchat/dcF_jVk5hAZkNTQ1

3. FACEBOOK GROUP LINK: 
https://www.facebook.com/groups/296595364987666/?ref=share

By: Dr. Anuj Kumar
Ph. D, Gold Medalist in M. Sc & B.Sc.
National Fellowship (JRF & SRF) Holder During Ph. D.

Engineering Mathematics 1
Engineering Mathematics-I
Mathematics-1

@FEARLESS INNOCENT MATH  
#bas103 #mathematics1

Differential calculus, differential calculus engineering mathematics, differential calculus b.sc 1st year, multivariable calculus 2 engineering mathematics, beta gamma functions - engineering mathematics, beta and gamma function bsc 1st year, multivariable calculus 2 aktu, multivariable calculus engineering mathematics, multivariable calculus btech 1st year, integral calculus engineering mathematics 1st year, integral calculus b.sc 2nd year, improper integrals beta and gamma functions, beta and gamma functions engineering mathematics, multivariable calculus 2 engineering mathematics aktu, multivariable calculus 2 engineering mathematics b tech, engineering mathematics unit 2, engineering mathematics unit 2 playlist, engineering math 2 unit 2 playlist, engineering math 2 unit 2, engineering mathematics 2 multivariable calculus 2, multivariable calculus engineering mathematics, multiple integration engineering mathematics 1, engineering mathematics multiple integration.
</video>
<video>
CHANGE OF VARIABLES IN DOUBLE INTEGRALS | CARTESIAN INTO POLAR | (x, y) INTO (u, v) | ENG. MATHS
Description: MULTIPLE INTEGRATION | B. Sc | M. Sc | B. Tech
ENGINEERING MATHEMATICS-1 (UNIT-4) MULTIPLE INTEGRATION
MULTIVARIABLE CALCULUS

LECTURE CONTENT: 
DOUBLE INTEGRAL,
NEED OF CHANGE OF VARIABLE OF IN DOUBLE INTEGRAL,
HOW TO CHANGE CARTESIAN COORDINATES INTO POLAR COORDINATES IN DOUBLE INTEGRAL,
WORKING RULE OF CHANGE OF VARIABLE, 
EXAMPLE BASED ON DOUBLE INTGRATION BY CHANGE OF VARIABLE,
EXAMPLE BASED ON CHANGE OF VARIABLE,

Convert cartesian to polar coordinates, change cartesian to polar coordinates , cartesian to polar equation, Change of Variable, Double Integration by the change of variable, Change of Cartesian Coordinates to Polar coordinates in Double Integration, Cartesian coordinates conversion into polar coordinates, examples of change of variable, double integration by changing its variables, method to solve double integration by changing its variables, conversion of cartesian coordinates into polar coordinates, conversion of cartesian coordinates into polar coordinates in double integration, change of variable in double integrals, change of variable in multiple integrals, change of variable (cartesian to polar), change of variable from cartesian to polar coordinates, change of variable engineering mathematics, change of variable using Jacobian.

PLAYLIST LINKS: 
ENG. MATHEMATICS-1

Engineering Mathematics 1 (Unit-4) Multiple Integration
1:

2: https://www.youtube.com/watch?v=MqEpJ2Cys5k&list=PL5Dqs90qDljUXgzBtbiGkyah-C_ycjnDk&pp=gAQBiAQB

Engineering Mathematics 1 (Unit-5) Vector Calculus
1:

2: https://www.youtube.com/watch?v=LF8xRkDNgJ4&list=PL5Dqs90qDljXm4Q6htsu9C88_gSebN33z&pp=gAQBiAQB

Calculator Lecture Series
https://www.youtube.com/watch?v=hsLJr4NBRxA&list=PL5Dqs90qDljUjvFMDphFN6p4PtBTrD2VO&pp=gAQBiAQB

(COMMUNICATION LINKS) 
1. YOUTUBE CHANNEL LINK:
https://youtube.com/channel/UCPhN5db0Tfa5YDpI9kRYAew

2. TELEGRAM LINK: 
https://t.me/joinchat/dcF_jVk5hAZkNTQ1

3. FACEBOOK GROUP LINK: 
https://www.facebook.com/groups/296595364987666/?ref=share

By: Dr. Anuj Kumar
Ph. D, Gold Medalist in M. Sc & B.Sc.
National Fellowship (JRF & SRF) Holder During Ph. D.

Engineering Mathematics 1
Engineering Mathematics-I
Mathematics-1

@FEARLESS INNOCENT MATH  
#bas103 #mathematics1

Differential calculus, differential calculus engineering mathematics, differential calculus b.sc 1st year, multivariable calculus 2 engineering mathematics, beta gamma functions - engineering mathematics, beta and gamma function bsc 1st year, multivariable calculus 2 aktu, multivariable calculus engineering mathematics, multivariable calculus btech 1st year, integral calculus engineering mathematics 1st year, integral calculus b.sc 2nd year, improper integrals beta and gamma functions, beta and gamma functions engineering mathematics, multivariable calculus 2 engineering mathematics aktu, multivariable calculus 2 engineering mathematics b tech, engineering mathematics unit 2, engineering mathematics unit 2 playlist, engineering math 2 unit 2 playlist, engineering math 2 unit 2, engineering mathematics 2 multivariable calculus 2, multivariable calculus engineering mathematics, multiple integration engineering mathematics 1, engineering mathematics multiple integration.
</video>
<video>
BETA & GAMMA FUNCTIONS | RELATION BETWEEN BETA AND GAMMA FUNCTIONS | EXAMPLE | FORMULAE PROOF
Description: MULTIPLE INTEGRATION | B. Sc | M. Sc | B. Tech
ENGINEERING MATHEMATICS-1 (UNIT-4) MULTIPLE INTEGRATION
MULTIVARIABLE CALCULUS

LECTURE CONTENT: 
BETA AND GAMMA FUNCTION,
BETA FUNCTION AND ITS PROPERTIES, 
TRANSFORMATION OF BETA FUNCTION,
GAMMA FUNCTION AND ITS PROPERTIES, 
TRANSFORMATION OF GAMMA FUNCTION,
RELATION BETWEEN BETA AND GAMMA FUNCTION PROOF,
GAMMA 1/2=√π PROOF,
IMPORTANT DERIVATION OF BETA AND GAMMA FUNCTION PROOF,
SHORT EXAMPLES ON BETA AND GAMMA FUNCTION WITH SOLUTION,
EXAMPLES OF GAMMA FUNCTION,
EXAMPLES OF BETA FUNCTION,

Beta function problems, beta function derivation, properties of beta function with proof, Beta function properties proof, Beta function examples, Beta function questions, Beta function in integration, Beta function in hindi,  Beta function properties, Beta function problems with solution, Beta function and Gamma function, properties of Beta function, examples of Beta function, Gamma Function engineering mathematics, gamma function derivation, Gamma Function problems, Gamma Function in integrations, Gamma Function properties, Gamma Function proof, Gamma Function questions, Gamma Function of 1/2, Gamma Function properties proof, evaluate gamma function, Gamma Function with properties, gamma function problems, properties of Gamma Function, examples of Gamma Function, proof of properties of Gamma Function, Relation between beta and gamma function proof, Relation between beta and gamma function in hindi, Value of gamma 1/2, examples based on Relation between beta and gamma function, proof of Relation between beta and gamma function, use of Relation between beta and gamma function, Relation of beta and gamma function, examples of beta and gamma function, problems on beta and gamma function, beta gamma functions engineering mathematics, beta gamma functions and their properties, beta and gamma functions btech 1st year, beta and gamma function bsc 1st year, beta function bsc 1st year, gamma 1/2 value proof, relation between gamma and beta function, gamma - 3/2, derive the relation between beta and gamma functions, gamma(n+1)= n gamma (n) proof, gamma n gamma(n)*gamma(1-n) proof, beta gamma relation proof, beta gamma relation problems, beta gamma function relation engineering mathematics.

PLAYLIST LINKS: 
ENG. MATHEMATICS-1

Engineering Mathematics 1 (Unit-4) Multiple Integration
1:

2: https://www.youtube.com/watch?v=MqEpJ2Cys5k&list=PL5Dqs90qDljUXgzBtbiGkyah-C_ycjnDk&pp=gAQBiAQB

Engineering Mathematics 1 (Unit-5) Vector Calculus
1:

2: https://www.youtube.com/watch?v=LF8xRkDNgJ4&list=PL5Dqs90qDljXm4Q6htsu9C88_gSebN33z&pp=gAQBiAQB

Calculator Lecture Series
https://www.youtube.com/watch?v=hsLJr4NBRxA&list=PL5Dqs90qDljUjvFMDphFN6p4PtBTrD2VO&pp=gAQBiAQB

(COMMUNICATION LINKS) 
1. YOUTUBE CHANNEL LINK:
https://youtube.com/channel/UCPhN5db0Tfa5YDpI9kRYAew

2. TELEGRAM LINK: 
https://t.me/joinchat/dcF_jVk5hAZkNTQ1

3. FACEBOOK GROUP LINK: 
https://www.facebook.com/groups/296595364987666/?ref=share

By: Dr. Anuj Kumar
Ph. D, Gold Medalist in M. Sc & B.Sc.
National Fellowship (JRF & SRF) Holder During Ph. D.

Engineering Mathematics 1
Engineering Mathematics-I
Mathematics-1

@FEARLESS INNOCENT MATH  
#bas103 #mathematics1

Differential calculus, differential calculus engineering mathematics, differential calculus b.sc 1st year, multivariable calculus 2 engineering mathematics, beta gamma functions - engineering mathematics, beta and gamma function bsc 1st year, multivariable calculus 2 aktu, multivariable calculus engineering mathematics, multivariable calculus btech 1st year, integral calculus engineering mathematics 1st year, integral calculus b.sc 2nd year, improper integrals beta and gamma functions, beta and gamma functions engineering mathematics, multivariable calculus 2 engineering mathematics aktu, multivariable calculus 2 engineering mathematics b tech, engineering mathematics unit 2, engineering mathematics unit 2 playlist, engineering math 2 unit 2 playlist, engineering math 2 unit 2, engineering mathematics 2 multivariable calculus 2, multivariable calculus engineering mathematics, multiple integration engineering mathematics 1, engineering mathematics multiple integration.
</video>
<video>
L-1 BASIC OF VECTORS | GRADIENT OF SCALAR POINT FUNCTION | GRADIENT OF SCALAR FIELD | SURFACE NORMAL
Description: VECTOR CALCULUS | B. Sc | M. Sc | B. Tech
ENGINEERING MATHEMATICS-1 (UNIT-5) VECTOR CALCULUS 
ENGINEERING MATHEMATICS 1 (MODULE-4) VECTOR ALGEBRA

LECTURE CONTENT: 
BASIC DEFINITION OF VECTOR,
MAGNITUDE OF VECTOR,
POSITION VECTOR,
OPERATION ON VECTORS,
SCALAR AND VECTOR PRODUCT OF VECTORS,
SCALAR POINT FUNCTION,
VECTOR POINT FUNCTION,
GRADIENT OF SALAR FIELD DEFINITION,
PROPERTIES OF GRADIENT,
EXAMPLE BASED ON GRADIENT OF A SCALAR FUNCTION,
UNIT NORMAL VECTOR TO THE SURFACE,
EXAMPLE BASED ON UNIT NORMAL VECTOR,

Basic definition of vector, operations on vectors, scalar and vector product of vectors, Gradient of r r^n, Gradient of a Scalar Field, Gradient of 1/r, Gradient of r^n, Gradient of r, Gradient Definition, Gradient of a Scalar Point Function, gradient of a function, del operator, nebla operator, unit normal to the surface, properties of gradient, examples of gradient, concept of gradient, gradient, gradient of magnitude of position vector, gradient of r, scalar point function, vector point function, gradient of a scalar function at a point, unit normal to the surface, unit normal vector, vector gradient, vector calculus gradient, vector calculus gradient engineering mathematics, vector calculus gradient divergence curl, vector calculus gradient example, vector calculus gradient problems, vector calculus gradient question, vector calculus gradient derivation, unit normal vector gradient, find a unit vector normal to the plane, find a unit vector normal to the surface, unit vector normal to the surface, unit vector normal, unit normal to the surface, example based on gradient.

PLAYLIST LINKS: 
ENG. MATHEMATICS-1

Engineering Mathematics 1 (Unit-4) Multiple Integration
1:

2: https://www.youtube.com/watch?v=MqEpJ2Cys5k&list=PL5Dqs90qDljUXgzBtbiGkyah-C_ycjnDk&pp=gAQBiAQB

Engineering Mathematics 1 (Unit-5) Vector Calculus
1:

2: https://www.youtube.com/watch?v=LF8xRkDNgJ4&list=PL5Dqs90qDljXm4Q6htsu9C88_gSebN33z&pp=gAQBiAQB

Calculator Lecture Series
https://www.youtube.com/watch?v=hsLJr4NBRxA&list=PL5Dqs90qDljUjvFMDphFN6p4PtBTrD2VO&pp=gAQBiAQB

(COMMUNICATION LINKS) 
1. YOUTUBE CHANNEL LINK:
https://youtube.com/channel/UCPhN5db0Tfa5YDpI9kRYAew

2. TELEGRAM LINK: 
https://t.me/joinchat/dcF_jVk5hAZkNTQ1

3. FACEBOOK GROUP LINK: 
https://www.facebook.com/groups/296595364987666/?ref=share

By: Dr. Anuj Kumar
Ph. D, Gold Medalist in M. Sc & B.Sc.
National Fellowship (JRF & SRF) Holder During Ph. D.

Engineering Mathematics 1
Engineering Mathematics-I
Mathematics-1

@FEARLESS INNOCENT MATH  
#bas103 #mathematics1

AKTU Math Channel, Fearless Innocent Math, vector calculus playlist, vector playlist, vector calculus engineering mathematics, vector calculus engineering math, vector engineering mathematics, vector differentiation playlist, vector integration playlist, vector calculus BSc playlist, Engineering Mathematics 1 unit 5, vector differentiation & integration playlist, vector integration and differentiation, math 1 unit 5 playlist, kas103t playlist, mathematics 1 module 5 playlist, mathematics 1 unit 5 playlist, math 1 module 5 playlist, math 1 btech playlist, bsc vector integration playlist, vector application playlist, Engineering mathematics i playlist, math 1 unit 5 playlist, mathematics vector integration, engineering mathematics playlist aktu, engineering mathematics 1 vector, engineering mathematics 1 vector calculus, vector analysis bsc 1st year maths, vector differentiation engineering mathematics 1, vector algebra engineering mathematics, vector integration engineering mathematics, vector differential calculus engineering mathematics, mathematics 1 btech 1st year aktu, vector analysis btech 1st year, vector analysis engineering mathematics, vector analysis playlist, gradient divergence and curl, green gauss and stoke theorem.
</video>
<video>
L-6 JACOBIAN AND ITS PROPERTIES | JACOBIAN ENGINEERING MATHS | CHAIN RULE | FUNCTIONAL DEPENDENCY
Description: DIFFERENTIAL CALCULUS-II | B. Sc | M. Sc | B. Tech
ENGINEERING MATHEMATICS-1 (UNIT-3) DIFFERENTIAL CALCULUS-II

LECTURE CONTENT: 
CONCEPT OF JACOBIAN,
FORMULA FOR JACOBIAN,
EXAMPLES OF JACOBIANS,
PROPERTIES OF JACOBIAN, 
PROPERTY-1, 2, 3 & 4,
FUNCTIONAL RELATIONSHIP BY JACOBIANS,
EXAMPLE AND SOLUTION FOR JACOBIAN,

Jacobian questions, jacobian engineering mathematics 1st year, jacobian engineering mathematics problems, jacobian engineering mathematics examples, important properties of Jacobians, jacobians properties, chain rule, jacobian of u v with respect to x y, definition of jacobian, application of jacobians, use of jacobians, working rule for jacobians, examples of jacobians, functional determinant, jacobian for change of cartesian coordinates into polar, need of jacobians, if jacobian is zero then functionally relationship exist, jacobian, problems on jacobians, jacobian and its basic properties, jacobian and its properties problems, jacobian functional dependence, dependent functions by jacobian, jacobian chain rule example, jacobian problems and solutions, Jacobian Engineering Mathematics, Jacobian B.Sc 1st year, B. Sc 2nd Year, Jacobian with properties, jacobian problem and solution.

PLAYLIST LINKS: 
ENG. MATHEMATICS-1

Engineering Mathematics 1 (Unit-4) Multiple Integration
1:

2: https://www.youtube.com/watch?v=MqEpJ2Cys5k&list=PL5Dqs90qDljUXgzBtbiGkyah-C_ycjnDk&pp=gAQBiAQB

Engineering Mathematics 1 (Unit-5) Vector Calculus
1:

2: https://www.youtube.com/watch?v=LF8xRkDNgJ4&list=PL5Dqs90qDljXm4Q6htsu9C88_gSebN33z&pp=gAQBiAQB

Calculator Lecture Series
https://www.youtube.com/watch?v=hsLJr4NBRxA&list=PL5Dqs90qDljUjvFMDphFN6p4PtBTrD2VO&pp=gAQBiAQB

(COMMUNICATION LINKS) 
1. YOUTUBE CHANNEL LINK:
https://youtube.com/channel/UCPhN5db0Tfa5YDpI9kRYAew

2. TELEGRAM LINK: 
https://t.me/joinchat/dcF_jVk5hAZkNTQ1

3. FACEBOOK GROUP LINK: 
https://www.facebook.com/groups/296595364987666/?ref=share

By: Dr. Anuj Kumar
Ph. D, Gold Medalist in M. Sc & B.Sc.
National Fellowship (JRF & SRF) Holder During Ph. D.

Engineering Mathematics 1
Engineering Mathematics-I
Mathematics-1

@FEARLESS INNOCENT MATH  
#bas103 #mathematics1

Differential calculus engineering mathematics b tech 1st year, mathematics 1 playlist, engineering mathematics 1st semester, math 1 btech playlist, Engineering Mathematics 1 by Anuj Sir, bsc math playlist, bsc mathematics playlist, partial differentiation playlist, mathematics 1 playlist, math 1 unit 3 playlist, btech mathematics playlist, mathematics 1 module 3 playlist, mathematics 1 unit 3 playlist, math 1 module 3 playlist, partial differentiation and their application playlist, differential calculus engineering mathematics 1 btech 1st year, differential calculus 2 engineering mathematics 1, differential calculus 1st year engineering, differential calculus 2 btech 1st year, differential calculus bsc 1st year, differential calculus bsc playlist, differential calculus bsc 1st year unit 2, differential calculus part 2, playlist, differential calculus-2 playlist, Engineering Mathematics 1 chapter 3, engineering mathematics 1st year module 3, engineering mathematics 1st year chapter 3, engineering mathematics 1st year unit 3, engineering mathematics 1st semester, partial differentiation bsc 1st year, partial differentiation engineering mathematics playlist, partial differentiation engineering mathematics 1 playlist, partial differentiation engineering mathematics 1st year, partial differentiation and applications engineering mathematics, calculus engineering mathematics 1st year, AKTU math channel, fearless innocent math.
</video>
<video>
DIRICHLET INTEGRAL AND ITS APPLICATIONS | VOLUME AND MASS BY DIRICHLET INTEGRAL | ONE SHOT LECTURE
Description: MULTIPLE INTEGRATION | B. Sc | M. Sc | B. Tech
ENGINEERING MATHEMATICS-1 (UNIT-4) MULTIPLE INTEGRATION
MULTIVARIABLE CALCULUS

LECTURE CONTENT: 
DIRICHLET'S INTEGRAL DEFINITION IN 3D / DIRICHLET'S THEOREM DEFINITION,
DIRICHLET'S INTEGRAL IN FIRST OCTANT,
CONDITION FOR DIRICHLET'S INTEGRAL,
DIRICHLET'S INTEGRAL IN 3 DIMENSION (FOR TRIPLE INTEGRATION),
MASS BY DIRICHLET'S INTEGRAL,
VOLUME BY DIRICHLET'S INTEGRAL,
VOLUME AND MASS OF ELLIPSOID BY DIRICHLET'S INTEGRAL,
VOLUME AND MASS OF SPHERE BY DIRICHLET'S INTEGRAL,
VOLUME AND MASS OF TETRAHEDRON BY DIRICHLET'S INTEGRAL,
ALL IMPORTANT EXAMPLES BASED ON DIRICHLET'S INTEGRAL,
DIRICHLET'S INTEGRAL IN 2D,
AREA AND MASS BY DIRICHLET'S INTEGRAL,

Dirichlet Integral in 3 dimension, Dirichlet Integral, Dirichlet Integral with triple integrals, Dirichlet's theorem, Dirichlet's Integral proof, Use of Dirichlet Integral, Volume by Dirichlet Integral, mass by Dirichlet Integral, Dirichlet Integral condition, definition of Dirichlet Integral, evaluate triple integtral by Dirichlet Integral, How to use Dirichlet Integral, examples of Dirichlet Integral, Dirichlet Integral in triple integration, proof of Dirichlet's Integral, Dirichlet's Integral in triple integrations, engineering mathematics 2, aktu math channel, Dirichlet Integral Questions, Dirichlet Integral theorem, Dirichlet Integral examples, Dirichlet Integral in Hindi, Dirichlet Integral aktu, Dirichlet integral and Liouville's theorem, Dirichlet's theorem BSc 1st year, Dirichlet theorem questions, Dirichlet's integral and its application, engineering mathematics Dirichlet integral, Dirichlet theorem engineering mathematics, Dirichlet theorem application, application of Dirichlet theorem, application of Dirichlet's integral.

PLAYLIST LINKS: 
ENG. MATHEMATICS-1

Engineering Mathematics 1 (Unit-4) Multiple Integration
1:

2: https://www.youtube.com/watch?v=MqEpJ2Cys5k&list=PL5Dqs90qDljUXgzBtbiGkyah-C_ycjnDk&pp=gAQBiAQB

Engineering Mathematics 1 (Unit-5) Vector Calculus
1:

2: https://www.youtube.com/watch?v=LF8xRkDNgJ4&list=PL5Dqs90qDljXm4Q6htsu9C88_gSebN33z&pp=gAQBiAQB

Calculator Lecture Series
https://www.youtube.com/watch?v=hsLJr4NBRxA&list=PL5Dqs90qDljUjvFMDphFN6p4PtBTrD2VO&pp=gAQBiAQB

(COMMUNICATION LINKS) 
1. YOUTUBE CHANNEL LINK:
https://youtube.com/channel/UCPhN5db0Tfa5YDpI9kRYAew

2. TELEGRAM LINK: 
https://t.me/joinchat/dcF_jVk5hAZkNTQ1

3. FACEBOOK GROUP LINK: 
https://www.facebook.com/groups/296595364987666/?ref=share

By: Dr. Anuj Kumar
Ph. D, Gold Medalist in M. Sc & B.Sc.
National Fellowship (JRF & SRF) Holder During Ph. D.

Engineering Mathematics 1
Engineering Mathematics-I
Mathematics-1

@FEARLESS INNOCENT MATH  
#bas103 #mathematics1

Differential calculus, differential calculus engineering mathematics, differential calculus b.sc 1st year, multivariable calculus 2 engineering mathematics, beta gamma functions - engineering mathematics, beta and gamma function bsc 1st year, multivariable calculus 2 aktu, multivariable calculus engineering mathematics, multivariable calculus btech 1st year, integral calculus engineering mathematics 1st year, integral calculus b.sc 2nd year, improper integrals beta and gamma functions, beta and gamma functions engineering mathematics, multivariable calculus 2 engineering mathematics aktu, multivariable calculus 2 engineering mathematics b tech, engineering mathematics unit 2, engineering mathematics unit 2 playlist, engineering math 2 unit 2 playlist, engineering math 2 unit 2, engineering mathematics 2 multivariable calculus 2, multivariable calculus engineering mathematics, multiple integration engineering mathematics 1, engineering mathematics multiple integration.
</video>
<video>
IMPORTANT TOPICS MATHEMATICS 4 AKTU | ENGINEERING MATHEMATICS 4 AKTU IMPORTANT TOPICS UNITWISE
Description: MATHEMATICS 4 BAS303 / BAS403
B. TECH 2nd YEAR
IMPORTANT TOPICS IN MATHEMATICS-4

Engineering Mathematics 4 important topics, Important topics of mathematics 4, Maths 4 Important Topics, how to pass maths 4 aktu, how to pass m4 in engineering, Engineering Mathematics 4 important topics, important topics in engineering mathematics, mathematics 4 for engineering, maths 4 engineering statistics, aktu maths 4 important questions, aktu maths 4 unit 1, aktu maths 4 unit 2, aktu maths 4 unit 3, aktu maths 4 unit 4, aktu maths 4 unit 5, Engineering Mathematics 4, math 4 btech, mathematics 4, mathematics iv, btech mathematics 4, btech engineering mathematics 4, mathematics 4 playlist, engineering math playlist, engineering mathematics playlist, mathematics iv, IMPORTANT TOPICS IN MATHEMATICS-4.

Engineering Mathematics-4
Mathematics-4
KAS302, KAS402
PLAYLIST LINKS: 
1. MATHEMATICS 4 (IMPORTANT TOPICS & SYLLABUS): 
https://www.youtube.com/watch?v=FfeMYXmeUcM&list=PL5Dqs90qDljW0fnCX7xz6-jmzvfJjR3qi

2. Mathematics 4 (Module-1) Partial Differential Equation
https://www.youtube.com/watch?v=ZOhUXDe1Xr0&list=PL5Dqs90qDljXYjZ8kDHtpMqPGKNGb2dxu

3. Mathematics 4 (Module-2) Application of Partial Differential equations
https://www.youtube.com/watch?v=8nmqu-f5VOM&list=PL5Dqs90qDljXzMS_nQYRxqCnNlwlEtE1_

4. Mathematics 4 (Module-3) Statistical Techniques-1
https://www.youtube.com/watch?v=CJz2F7o4MMM&list=PL5Dqs90qDljVF5-HxU829qWUMRFwDAu3v

5. Mathematics 4 (Module-4) Statistical Techniques-2 (Probability and Distribution)
https://www.youtube.com/watch?v=XCAcYFd49qw&list=PL5Dqs90qDljWiE0fK-akBQXH2yp2OWXVr

6. Mathematics 4 (Module-5) Statistical Techniques-3 (Hypothesis Testing)
https://www.youtube.com/watch?v=Ay1wckoASTI&list=PL5Dqs90qDljWze2qPIgZv-CtBJYHEIvqa

7. Discrete Structures and Theory of Logic (Discrete Mathematics)
https://www.youtube.com/watch?v=-F_N_TG8GZY&list=PL5Dqs90qDljVzjOD7o69P-lmSmGLSxpN3

8. Application of Mathematics in Real World
https://www.youtube.com/watch?v=awaHyZ8Sa8Q&list=PL5Dqs90qDljX-rd0UMhC7cCGRfvrK0Ew-

(COMMUNICATION LINKS) 
1. YOUTUBE CHANNEL LINK:
https://youtube.com/channel/UCPhN5db0Tfa5YDpI9kRYAew

2. TELEGRAM LINK: 
https://t.me/joinchat/dcF_jVk5hAZkNTQ1

3. FACEBOOK GROUP LINK: 
https://www.facebook.com/groups/296595364987666/?ref=share

By: Dr. Anuj Kumar
Assistant Professor( Mathematics)
Ph. D, Gold Medalist in M. Sc and B.Sc.
National Fellowship (JRF & SRF) Holder During Ph. D.
Dr. Anuj Kumar
@fearlessinnocentmath
#bas304 #bas303 #mathematics4
</video>
<video>
DOUBLE INTGRAL | AREA BY DOUBLE INTGRATION | DOUBLE INTEGRATION EXAMPLES | ENGINEERING MATHEMATICS
Description: MULTIPLE INTEGRATION | B. Sc | M. Sc | B. Tech
ENGINEERING MATHEMATICS-1 (UNIT-4) MULTIPLE INTEGRATION
MULTIVARIABLE CALCULUS

LECTURE CONTENT: 
CONCEPT OF DOUBLE INTGRAL,
HOW TO TAKE LIMITS IN DOUBLE INTGRAL,
EXAMPLE BASED ON DOUBLE INTGRATION,
AREA BY DOUBLE INTEGRATION,
AREA OF REGION BOUNDED BY LINE AND PARABOLA,
AREA OF REGION BOUNDED BY TWO PARABOLAS,
EXAMPLE BASED ON AREA BY DOUBLE INTEGRAL,
.

Double integral problems, double integral examples, double integral of e^(y/x) dy dx, Double Integration, Concept of Double Integration, examples of Double Integration, what is double integration, how to solve Double Integration, Basic formula for Double Integration, Use of Double Integration, Definition of Double Integration, Application of Double Integration, Double Integration in cartesian coordinates, Formula of Double Integration, Double Integral, methods of Double Integration, Double Integration over a region, Double Integration of f(xy), area of bounded region, area bounded by curves, Area by Integration, Area by Double Integration,  Double Integral Engineering Mathematics, area by integration solved problems, Method to find Area by Double Integration, Examples of Area, Application of Double Integration, Use of Double Integration, need of Double Integration, How to find area by Double Integration, Area of a region by Double Integration, Area of a curve by Double Integration, Area with Double Integration, Working rule to find area by Double Integration, Find area by Double Integration, double integral and area, double integration and area.

PLAYLIST LINKS: 
ENG. MATHEMATICS-1

Engineering Mathematics 1 (Unit-4) Multiple Integration
1:

2: https://www.youtube.com/watch?v=MqEpJ2Cys5k&list=PL5Dqs90qDljUXgzBtbiGkyah-C_ycjnDk&pp=gAQBiAQB

Engineering Mathematics 1 (Unit-5) Vector Calculus
1:

2: https://www.youtube.com/watch?v=LF8xRkDNgJ4&list=PL5Dqs90qDljXm4Q6htsu9C88_gSebN33z&pp=gAQBiAQB

Calculator Lecture Series
https://www.youtube.com/watch?v=hsLJr4NBRxA&list=PL5Dqs90qDljUjvFMDphFN6p4PtBTrD2VO&pp=gAQBiAQB

(COMMUNICATION LINKS) 
1. YOUTUBE CHANNEL LINK:
https://youtube.com/channel/UCPhN5db0Tfa5YDpI9kRYAew

2. TELEGRAM LINK: 
https://t.me/joinchat/dcF_jVk5hAZkNTQ1

3. FACEBOOK GROUP LINK: 
https://www.facebook.com/groups/296595364987666/?ref=share

By: Dr. Anuj Kumar
Ph. D, Gold Medalist in M. Sc & B.Sc.
National Fellowship (JRF & SRF) Holder During Ph. D.

Engineering Mathematics 1
Engineering Mathematics-I
Mathematics-1

@FEARLESS INNOCENT MATH  
#bas103 #mathematics1

Differential calculus, differential calculus engineering mathematics, differential calculus b.sc 1st year, multivariable calculus 2 engineering mathematics, beta gamma functions - engineering mathematics, beta and gamma function bsc 1st year, multivariable calculus 2 aktu, multivariable calculus engineering mathematics, multivariable calculus btech 1st year, integral calculus engineering mathematics 1st year, integral calculus b.sc 2nd year, improper integrals beta and gamma functions, beta and gamma functions engineering mathematics, multivariable calculus 2 engineering mathematics aktu, multivariable calculus 2 engineering mathematics b tech, engineering mathematics unit 2, engineering mathematics unit 2 playlist, engineering math 2 unit 2 playlist, engineering math 2 unit 2, engineering mathematics 2 multivariable calculus 2, multivariable calculus engineering mathematics, multiple integration engineering mathematics 1, engineering mathematics multiple integration.
</video>
<video>
DSTL IMPORTANT TOPICS | IMPORTANT TOPICS IN DISCRETE STRUCTURES AND THEORY OF LOGIC | DISCRETE MATH
Description: DISCRETE STRUCTURES AND THEORY OF LOGIC (BCS303)
IMPORTANT TOPICS UNITWISE
DISCRETE MATHEMATICS

LECTURE CONTENT:
IMPORTANT TOPICS IN DISCRETE STRUCTURES, 
IMPORTANT TOPICS IN DISCRETE STRUCTURES AND THEORY OF LOGIC,
ALL IMPORTANT TOPICS IN DISCRETE STRUCTURES, 
UNITWISE IMPORTANT TOPICS IN DISCRETE STRUCTURES,
UNITWISE IMPORTANT TOPICS IN DSTL,
DSTL IMPORTANT TOPICS,
DISCRETE STRUCTURES AND THEORY OF LOGIC IMPORTANT TOPICS,
DISCRETE MATHEMATICS IMPORTANT TOPICS,  
 
important topics of discrete mathematics, discrete structures important questions, dstl important questions aktu, aktu discrete mathematics, dstl btech 2nd year aktu important questions, dstl important topics aktu.

(COMMUNICATION LINKS) 
1. YOUTUBE CHANNEL LINK:
https://youtube.com/channel/UCPhN5db0Tfa5YDpI9kRYAew

2. TELEGRAM LINK: 
https://t.me/joinchat/dcF_jVk5hAZkNTQ1

3. FACEBOOK GROUP LINK: 
https://www.facebook.com/groups/296595364987666/?ref=share

By: Dr. Anuj Kumar
Assistant Professor (Mathematics)
Ph. D, Gold Medalist in M. Sc and B.Sc.
National Fellowship (JRF & SRF) Holder During Ph. D.

DISCRETE STRUCTURES AND THEORY OF LOGIC MODULE-5
 KSC303 
DISCRETE MATHEMATICS 
DISCRETE STRUCTURES AND THEORY OF LOGIC UNIT 5 PLAYLIST
DISCRETE MATHEMATICS PLAYLIST
DISCRETE MATHEMATICS FULL COURSE
DISCRETE MATHEMATICS FOR COMPUTER SCIENCE
DISCRETE MATHEMATICS BTECH 2ND YEAR
DISCRETE MATHEMATICS BSC 1ST YEAR
DISCRETE MATHEMATICAL STRUCTURES
DISCRETE MATHEMATICAL STRUCTURES FOR COMPUTER SCIENCE
DISCRETE STRUCTURES COMPUTER SCIENCE
DISCRETE STRUCTURES UNIT 5
DISCRETE STRUCTURES MODULE 5
DISCRETE STRUCTURES LECTURES
DISCRETE STRUCTURES PLAYLIST
DISCRETE STRUCTURES AND THEORY OF LOGIC AKTU
DISCRETE STRUCTURES AND THEORY OF LOGIC BTECH 2ND YEAR
DISCRETE MATHEMATICS UNIT 5
DISCRETE MATHEMATICS MODULE 5
DISCRETE STRUCTURES AND THEORY OF LOGIC SYLLABUS AKTU
DISCRETE STRUCTURES FOR COMPUTER SCIENCE
DISCRETE STRUCTURES FOR COMPUTER SCIENCE BTECH 2ND YEAR
DISCRETE MATHEMATICS FOR BCS 1ST YEAR
DISCRETE MATHEMATICS AKTU
DISCRETE MATHEMATICS PLAYLIST AKTU
BY DR. ANUJ KUMAR SIR
BY ANUJ KUMAR SIR
 @FEARLESS INNOCENT MATH  
 #discretestructure #kcs303
</video>
<video>
TRIPLE INTEGRATION | TRIPLE INTEGRAL ENGINEERING MATHEMATICS | TRIPLE INTEGRAL IMPORATANT EXAMPLES
Description: MULTIPLE INTEGRATION | B. Sc | M. Sc | B. Tech
ENGINEERING MATHEMATICS-1 (UNIT-4) MULTIPLE INTEGRATION
MULTIVARIABLE CALCULUS

LECTURE CONTENT: 
CONCEPT OF TRIPLE INTEGRAL,
LIMITS OF TRIPLE INTEGRATION, 
EXAMPLE BASED ON TRIPLE INTEGRAL,
TRIPLE INTEGRATION EXAMPLE,

triple integral of e^(x+y+z), triple integral of 1/sqrt(1-x^2-y^2-z^2), triple integral xyz dxdydz. Concept of Triple Integration, Working rule of Triple Integration, Volume by Triple Integration, Definition of Triple Integration, Use of Triple Integration, How to solve Triple Integration, examples of Triple Integration, triple integral, Triple Integration in three-dimension, Triple Integration of f(x, y, z), Limits in triple integration, How to solve limits for Triple Integration, Region for Triple Integration, Problems on Triple Integration, triple integral engineering mathematics, triple integration engineering mathematics, triple integration example, triple integration problems, triple integration exercise, triple integration btech 1st year.

PLAYLIST LINKS: 
ENG. MATHEMATICS-1

Engineering Mathematics 1 (Unit-4) Multiple Integration
1:

2: https://www.youtube.com/watch?v=MqEpJ2Cys5k&list=PL5Dqs90qDljUXgzBtbiGkyah-C_ycjnDk&pp=gAQBiAQB

Engineering Mathematics 1 (Unit-5) Vector Calculus
1:

2: https://www.youtube.com/watch?v=LF8xRkDNgJ4&list=PL5Dqs90qDljXm4Q6htsu9C88_gSebN33z&pp=gAQBiAQB

Calculator Lecture Series
https://www.youtube.com/watch?v=hsLJr4NBRxA&list=PL5Dqs90qDljUjvFMDphFN6p4PtBTrD2VO&pp=gAQBiAQB

(COMMUNICATION LINKS) 
1. YOUTUBE CHANNEL LINK:
https://youtube.com/channel/UCPhN5db0Tfa5YDpI9kRYAew

2. TELEGRAM LINK: 
https://t.me/joinchat/dcF_jVk5hAZkNTQ1

3. FACEBOOK GROUP LINK: 
https://www.facebook.com/groups/296595364987666/?ref=share

By: Dr. Anuj Kumar
Ph. D, Gold Medalist in M. Sc & B.Sc.
National Fellowship (JRF & SRF) Holder During Ph. D.

Engineering Mathematics 1
Engineering Mathematics-I
Mathematics-1

@FEARLESS INNOCENT MATH  
#bas103 #mathematics1

Contacts and Links

29659536498766 15

facebook.com/groups/296595364987666/ 15

t.me/joinchat/dcF_jVk5hAZkNTQ1 15

youtube.com/channel/UCPhN5db0Tfa5YDpI9kRYAew 15
youtube.com/watch 13
youtube.com/watch 13
youtube.com/playlist 13
youtube.com/watch 13
youtube.com/playlist 13
youtube.com/watch 13
youtube.com/watch 13
youtube.com/watch 13
youtube.com/watch 13
youtube.com/@dr.anuj.fearlessinnocentmath 1
youtube.com/watch 1
youtube.com/watch 1
youtube.com/watch 1
youtube.com/watch 1
youtube.com/watch 1
youtube.com/watch 1
youtube.com/watch 1
youtube.com/watch 1

Description

Hello Friends
Welcome to you FEARLESS INNOCENT MATH Channel.
I Dr. Anuj Kumar (Assistant Professor)
Ph. D (National JRF/SRF Fellowship Holder), M. Sc (Gold Medalist), B. Sc (Gold Medalist).
My YouTube Channel will provide you Mathematics video lectures for B. Tech, B. Sc, M. Sc, NET, GATE, JAM, IIT JEE etc.
You can watch all video lectures with the following playlists:
1: ENGINEERING MATHEMATICS-I (BAS103 / KAS103T)
2: ENGINEERING MATHEMATICS-II (BAS203/KAS203T)
3: MATHEMATICS-III (KAS301/KAS303)
4: MATHEMATICS-IV (BAS303/BAS403)
5: DISCRETE STRUCTURE & THEORY OF LOGIC (BCSS303) /DISCRETE MATHEMATICS
6: APPLICATION OF MATHEMATICS
7: SCIENTIFIC CALCULATOR LECTURE SERIES

FEARLESS INNOCENT MATH
(FEEL THE MATH, FEEL THE WORLD).

YouTube Handle
https://www.youtube.com/@dr.anuj.fearlessinnocentmath

Videos from channel

Published	Title	Description	Views
Dec 16, 2024	L-2 DIRECTIONAL DERIVATIVE \| ENGINEERING MATHEMATICS \| VECTOR DIFFERENTIATION \| MAXIMUM VALUE OF DD	VECTOR CALCULUS \| B. Sc \| M. Sc \| B. Tech ENGINEERING MATHEM...	7,924
Dec 01, 2024	ENGINEERING MATHEMATICS 1 IMPORTANT TOPICS \| IMPORATANT TOPICS IN MATHEMATICS i \| BAS103 \| AKTU	ENGINEERING MATHEMATICS-1 SUBJECT CODE: BAS103 B. TECH 1ST Y...	9,876
Dec 01, 2024	DSTL IMPORTANT TOPICS \| IMPORTANT TOPICS IN DISCRETE STRUCTURES AND THEORY OF LOGIC \| DISCRETE MATH	DISCRETE STRUCTURES AND THEORY OF LOGIC (BCS303) IMPORTANT T...	11,892
Dec 01, 2024	IMPORTANT TOPICS MATHEMATICS 4 AKTU \| ENGINEERING MATHEMATICS 4 AKTU IMPORTANT TOPICS UNITWISE	MATHEMATICS 4 BAS303 / BAS403 B. TECH 2nd YEAR IMPORTANT TOP...	3,033
Dec 01, 2024	L-1 BASIC OF VECTORS \| GRADIENT OF SCALAR POINT FUNCTION \| GRADIENT OF SCALAR FIELD \| SURFACE NORMAL	VECTOR CALCULUS \| B. Sc \| M. Sc \| B. Tech ENGINEERING MATHEM...	7,386
Nov 30, 2024	TRIPLE INTEGRATION \| TRIPLE INTEGRAL ENGINEERING MATHEMATICS \| TRIPLE INTEGRAL IMPORATANT EXAMPLES	MULTIPLE INTEGRATION \| B. Sc \| M. Sc \| B. Tech ENGINEERING M...	5,503
Nov 30, 2024	CHANGE OF VARIABLES IN DOUBLE INTEGRALS \| CARTESIAN INTO POLAR \| (x, y) INTO (u, v) \| ENG. MATHS	MULTIPLE INTEGRATION \| B. Sc \| M. Sc \| B. Tech ENGINEERING M...	10,491
Nov 30, 2024	CHANGE OF ORDER OF INTEGARTION \| ENGINEERING MATHS \| DOUBLE INTEGRAL BY CHANGE OF ORDER \| IMPORTANT	MULTIPLE INTEGRATION \| B. Sc \| M. Sc \| B. Tech ENGINEERING M...	11,986
Nov 30, 2024	DOUBLE INTGRAL \| AREA BY DOUBLE INTGRATION \| DOUBLE INTEGRATION EXAMPLES \| ENGINEERING MATHEMATICS	MULTIPLE INTEGRATION \| B. Sc \| M. Sc \| B. Tech ENGINEERING M...	12,162
Nov 30, 2024	LIOUVILLE'S EXTENSION OF DIRICHLET'S INTGRAL \| DIRICHLET INTEGRAL AND LIOUVILLE'S THEOREM \| EXAMPLES	MULTIPLE INTEGRATION \| B. Sc \| M. Sc \| B. Tech ENGINEERING M...	9,018
Nov 24, 2024	DIRICHLET INTEGRAL AND ITS APPLICATIONS \| VOLUME AND MASS BY DIRICHLET INTEGRAL \| ONE SHOT LECTURE	MULTIPLE INTEGRATION \| B. Sc \| M. Sc \| B. Tech ENGINEERING M...	15,975
Nov 24, 2024	BETA GAMMA FUNCTION IMPORTANT QUESTIONS \| BETA AND GAMMA FUNCTION EXAMPLES \| ENGINEERING MATHEMATICS	MULTIPLE INTEGRATION \| B. Sc \| M. Sc \| B. Tech ENGINEERING M...	12,199
Nov 23, 2024	BETA & GAMMA FUNCTIONS \| RELATION BETWEEN BETA AND GAMMA FUNCTIONS \| EXAMPLE \| FORMULAE PROOF	MULTIPLE INTEGRATION \| B. Sc \| M. Sc \| B. Tech ENGINEERING M...	29,284
Nov 10, 2024	L-7 JACOBIAN OF IMPLICIT FUNCTIONS \| JACOBIAN OF COMPOSITE FUNCTION \| ENGINEERING MATHEMATICS	DIFFERENTIAL CALCULUS-II \| B. Sc \| M. Sc \| B. Tech ENGINEERI...	13,242
Nov 09, 2024	L-6 JACOBIAN AND ITS PROPERTIES \| JACOBIAN ENGINEERING MATHS \| CHAIN RULE \| FUNCTIONAL DEPENDENCY	DIFFERENTIAL CALCULUS-II \| B. Sc \| M. Sc \| B. Tech ENGINEERI...	20,355

FEARLESS INNOCENT MATH

Contacts and Links

phone

facebook

telegram

youtube

Description

Videos from channel