Friday, 27 December 2019

Engineering Mathematics-II



Welcome to Mathematics World
Dr. Sonendra Gupta
Engineering Mathematics-II


Note: This is a copyright study material do not use it on any website or regenerate it by your name but you can share it. 

Module-1

1. Formation of Differential Equations - Lecture Link  and Lecture Link

2. Method of Separation Variables Lecture Link and Lecture Link

3. Homogeneous Differential Equation Lecture Link and Lecture Link

4. Non-Homogeneous Differential Equation Lecture Link  and Lecture Link

5. Linear Differential Equation Lecture Link and Lecture Link

6. Bernoulli’s Equation Lecture Link and Lecture Link

7. Exact Differential Equation Lecture Link and Lecture Link

8. Non-Exact Differential Equation - Lecture 1       Lecture 2      Lecture3         Lecture 4       

9. Differential Equations of First Order and Higher Degree

(i). Solvable for Lecture Link

(ii). Solvable for Lecture Link 

(iii). Solvable for Lecture Link 

(iv). Clairaut’s Equation - Lecture Link

10. Higher Linear order differential equations with constant coefficients.

Lecture1      Lecture 2      Lecture 3     Lecture4      Lecture 5      Lecture 6            

11. Homogeneous Linear Differential equations - Lecture1      Lecture 2     

12. Simultaneous Differential Equations - Lecture 1      Lecture 2     

                    



Thursday, 26 December 2019

Engineering Mathematics-I


Welcome to Mathematics World

Dr. Sonendra Gupta


Note: This is copyright study material do not use it on any website or regenerate it by your name but you can share it.

Course File July-Dec. 2022

Module-1
Rolle’s theorem, Mean Value theorems, Expansion of functions by Maclaurin’s and Taylor’s for one variable; Taylor’s theorem for the function of two variables, Partial Differentiation, Maxima & Minima (two and three variables), Method of Lagrange's Multipliers. 

Topics

E-notes Download

Video Links

Rolle’s theorem

Download

Video Lecture Link

Mean Value theorems

Download

Video Lecture Link

Maclaurin’s Series or Theorem

Download

Video Lecture Link-1

Video Lecture Link-2



Taylor Series or Theorem in one variable

Download

Video Lecture Link-1

Video Lecture Link-2

Partial Differentiation

Download

Video Lecture Link-1

Video Lecture Link-2

Euler’s theorem for Homogeneous function

Download

Video Lecture Link-1

Video Lecture Link-2

Composite Function and Total Differential Coefficients

Download

Video Lecture Link

Jacobians and their properties with Functionally dependence conditions

Download

Video Lecture Link-1

Video Lecture Link-2

Video Lecture Link-3

Video Lecture Link-4

Video Lecture Link-5

Maxima & Minima of two variables and Lagrange's sufficient condition

Download

Video Lecture Link-1

Video Lecture Link-2

Video Lecture Link-3

Maxima & Minima of three variables

Download

Method of Lagrange's Multipliers

Download

Video Lecture Link

Taylor Theorem for two variables function 

Download

Video Lecture Link

Tangent and Normal

Download

Video Lecture Link-1

Video Lecture Link-2

Radius of Curvature

Download

Circle of Curvature

Download

Curve Tracing

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Approximation of Errors

Download

Video Lecture Link-1

Video Lecture Link-2




















































Module-2

Definite Integral as a limit of a sum and Its application in summation of series; Beta and Gamma functions and their properties; Applications of definite integrals to evaluate surface areas and volumes of revolutions. Multiple Integral, Change the order of the integration, Applications of multiple integral for calculating area and volumes of the curves.


 





















































 

RGPV PAPERS AND SOLUTIONS December 2019

RGPV PAPERS AND SOLUTIONS 
December 2019
[Dear students write your comments regarding solutions of RGPV papers]

S.No.
Semester
Branch
Subject
Subject Code
Solutions
1
B.Tech-I (Grading)
Common for All
Mathematics-I
BT-102
2
BE-I (Grading)
Common for All
Mathematics-I
BT-102
Download
3
BE-I (Grading)
Common for All
Mathematics-I
BE-1002
Download
4
B.Tech-II (Grading)
Common for All
Mathematics-II
BT-202
5
B.Tech- II  (Grading)
Common for All
Mathematics-II
BT-2002
Download
6
B.Tech-III   (Grading)EC-CE-MEMathematics-IIIBT-301Download
7
B.Tech-IV   (Grading)CSE-IT-EXMathematics-IIIBT-401Download
8
B.Tech-III   (Grading)Common for AllMathematics-IIIBE-401Download
9
B.Tech-III   (Grading)CS-ITDiscrete StructureCS/IT-302Download
10
B.Tech-III   (Grading)
Common for AllMathematics-IIIBE-401Download

M.Tech(Maths) PAPER SOLUTIONS December 2019

S.No.
Semester
Subject
Subject Code
Paper
Solutions
1
Computer Science and Engineering
Software Engineering
Advanced Computational Mathematics
MCSE–101
MSE–101
Download
2
Power System
Control System
Digital Commun.
Advanced Mathematics
MEPS – 101
MEIC–101
MEDC –101
Download
3
Thermal Engg.
Advanced Mathematics
MMTP – 101
MMPD–101
MMMF –101
Download
4