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AU Mathematics III Sem III
Unit 2 : Introduction of Partial Differential Equations(Formation of partial differential equations, Solutions of PDEs, Equations solvable by direct integration, Linear equations of first order, Homogeneous linear equations with constant coefficients, Rules for finding the complimentary function, Rules of finding the particular integral, Working procedure top solve homogeneous linear equations of any order, Nonhomogeneous linear equations)
1. Cauchy Problem(Mathematics) Total View (760)
 
In this unit, the reader studies about the Cauchy problem, principle of superposition. They also study the method of characteristics to solve semi-linear, quasilinear and non-linear PDEs.
Title: Math 1.5 Differential Equations
Published on: 08/01/14
Author: KSOU
Publisher: Karnataka State Open University
Pages: 14
Price: Rs 10.5

2. Introduction to PDE(Mathematics) Total View (758)
 
In this unit, the reader studies about introduction and formation of partial differential equation (PDE). They also study the classification of first order PDE and some basic definition pertaining to POE.
Title: Math 1.5 Differential Equations
Published on: 09/01/14
Author: KSOU
Publisher: Karnataka State Open University
Pages: 8
Price: Rs 6

3. Complete Integrals of PDE(Mathematics) Total View (762)
 
In this unit, the reader studies various methods such as Charpit's method, Jacobi's method for finding the solution (Complete integral) of POE.
Title: Math 1.5 Differential Equations
Published on: 08/01/14
Author: KSOU
Publisher: Karnataka State Open University
Pages: 12
Price: Rs 9

4. Differential Equations(Advanced Mathematics I) Total View (20)
 
A large number of basic laws of nature in engineering mathematics, applied sciences etc., appear mathematically in the form of differential equations. The differential equations is the general goal of differential and integral calculus and the theory of differential equations has a very important role in mathematics for understanding physical sciences.
Title: Advance Mathematics I
Published on: 09/02/15
Author: Pandurangappa C
Publisher: Sanguine Technical Publishers
Pages: 168
Price: Rs 126

5. Existence of Solutions of ODE(Mathematics) Total View (767)
 
In this unit, the reader will learn some basic definitions of ordinary differential equations. Also the reader will study the existence and uniqueness of solutions of initial value problem and a system of differential equations. In order to fully understand the proofs of these theorems, the reader must be familiar with certain concepts of real function theory.
Title: Math 1.5 Differential Equations
Published on: 08/01/14
Author: KSOU
Publisher: Karnataka State Open University
Pages: 8
Price: Rs 0

6. Differential Equations(Engineering Mathematics - I ) Total View (237)
 
A large number of basic laws of nature in engineering mathematics, applied sciences etc., appear mathematically in the form of differential equations. The problem of solving differential equations is a general goal of differential and integral calculus and the theory of differential equations is a very important part of mathematics for understanding physical sciences
Title: Engineering Mathematics - 1
Published on: 13/10/14
Author: Pandurangappa C
Publisher: Sanguine Technical Publishers
Pages: 131
Price: Rs 98.25

7. Differential Equations(Mathematics) Total View (5864)
 
Ordinary differential equations of first order and of first degree, Separation of variables, Homogeneous differential equations, Reducible to homogeneous differential equations, Linear differential equations, Bernoulli's equations (reducible to linear differential equations), Exact differential equations, Reducible to exact differential equations, Orthogonal trajectories
Title: Introductory Mathematics II
Published on: 28/10/14
Author: Pandurangappa C
Publisher: Interlinepublishing
Pages: 93
Price: Rs 69.75

8. Difference Equations and Generating Functions(Mathematics) Total View (738)
 
After going through this unit we can define and construct generating functions for sequences arising in various types of combination problems. Also we use generating functions to find the number of integer solution to linear equations. We solve recurrence relation using generating functions.
Title: Math 1.4 Discrete Mathematics
Published on: 08/01/14
Author: KSOU
Publisher: Karnataka State Open University
Pages: 16
Price: Rs 12

9. Partial Differential Equations(Mathematics) Total View (347)
 
If a physical quantity depends on more than one independent variable (for example, in one dimensional fluid flow problems, the velocity depends on the space variable x and time t) the governing differential equations are necessarily partial differential equations. Some of the fields where partial differential equations arise are fluid dynamics, electromagnetic theory, theory of heat conduction and ......
Title: Engineering Mathematics - III
Published on: 17/03/14
Author: Pandurangappa C
Publisher: Sanguine Technical Publishers
Pages: 41
Price: Rs 30.75

10. Differential Equations - I(Mathematics) Total View (291)
 
In Chapter-7 (Vol.I). In this chapter we study differential equations of second and higher orders. Differential equations of second order arise very often in physical problems, especially in connection with mechanical vibrations and electric circuits.
Title: Engineering Mathematics - II
Published on: 18/03/14
Author: Chandra Mohan M
Publisher: Sanguine Technical Publishers
Pages: 56
Price: Rs 42

11. Methods of Solving ODE -2(Mathematics) Total View (757)
 
In this unit the reader studies the zeros of solutions of ODE. Sturm's separation theorem. Sturm's comparison theorem , Sturm-Liouville problems. The reader also study the method of variation o f parameters. Eigenvalue problems.
Title: Math 1.5 Differential Equations
Published on: 08/01/14
Author: KSOU
Publisher: Karnataka State Open University
Pages: 16
Price: Rs 12

12. Differential Equations-I(Engineering Mathematics - II ) Total View (16)
 
A large number of basic laws of nature in science and technology appear mathematically in the form of differential equations. The solution of differential equations is one of the most important tools for engineers and scientists. It is presumed that the readers are already familiar in solving the differential equations of first order and first degree. In this chapter we shall discuss some standard ......
Title: Engineering Mathematics - II
Published on: 18/02/15
Author: Pandurangappa C
Publisher: Sanguine Technical Publishers
Pages: 118
Price: Rs 0

13. Engineering mathematics - II(Mathematics) Total View (4510)
 
Solved Question Papers
Title: Harbinger - First/Second Engineering Mathematics - II
Published on: 28/10/14
Author: Harbinger Series
Publisher: Sanguine Technical Publishers
Pages: 84
Price: Rs 63

14. Ordinary Differential Equations - II(Mathematics II) Total View (706)
 
This chapter is a continuation of Chapter 1. Here we first consider some standard methods of solving ordinary linear differential equations of second and higher orders with constant coefficients. Then we consider simultaneous linear differential equations of first-order. Lastly, we illustrate some applications of second-order linear differential equations.
Title: Engineering Mathematics Part - II
Published on: 28/10/14
Author: Chandrasekharaiah D S (DSC)
Publisher: Prism Books Pvt Ltd
Pages: 102
Price: Rs 76.5

15. Elementary Combinatorics(Applied Mathematics) Total View (3)
 
Combinatorics is the branch of mathematics meant to solve counting problems without enumerating all possible cases. At an elementary level, Combinatorics is usually considered as a part of discrete mathematics in which the main problem is that of counting the number of ways of arranging or choosing objects from a finite set according to some simple specified rules. At an advanced level, combinator ......
Title: Discrete Structures and Graph Theory
Published on: 27/05/15
Author: Bhishma Rao GSS
Publisher: Scitech Publications India Pvt Ltd
Pages: 29
Price: Rs 21.75

16. Solutions to Non-Linear System of ODE(Mathematics) Total View (759)
 
The objective of this unit is the study of Non-linear Autonomous system of ordinary differential equations, critical points, path and their nature. The reader also studies the method to find the nature of critical points. stability and paths by Liapunov direct method.
Title: Math 1.5 Differential Equations
Published on: 08/01/14
Author: KSOU
Publisher: Karnataka State Open University
Pages: 12
Price: Rs 9

17. Ordinary Differential Equations - I(Mathematics II) Total View (728)
 
This chapter is a continuation of Chapter 6 of Part I_. Here, we consider ordinary differential equations of first-order and higher degree. Some Applications of first-order ordinary differential equations are illustrated at the end of the chapter.
Title: Engineering Mathematics Part - II
Published on: 28/10/14
Author: Chandrasekharaiah D S (DSC)
Publisher: Prism Books Pvt Ltd
Pages: 50
Price: Rs 0

18. Solutions to Linear system of ODE(Mathematics) Total View (759)
 
The main objective of this unit is the study of linear system of ordinary differential equations.
Title: Math 1.5 Differential Equations
Published on: 08/01/14
Author: KSOU
Publisher: Karnataka State Open University
Pages: 8
Price: Rs 6

19. Introduction to Finite Element Method(Finite Element Method) Total View (5388)
 
Introduction, General Description of the Finite Element Method, List of Steps Involved in the Finite Element Method, Engineering Applications of Finite Element Method, Advantages of the Finite Element Method.
Title: Finite Element Method
Published on: 23/12/14
Author: Murigendrappa S M
Publisher: Interlinepublishing
Pages: 4
Price: Rs 0

20. Differential Equations(Mathematics) Total View (5)
 
A large number of basic laws of nature in science and technology appear mathematically in the form of differential equations. The problem of solving differential equations is one of the most important tools for engineers and scientists. The readers are already familiar in solving the differential equations of first order and first degree. In this chapter we discuss some standard methods of so ......
Title: Bridge Course II
Published on: 01/07/13
Author: Pandurangappa C
Publisher: Interlinepublishing
Pages: 0
Price: Rs 0

21. Differential Equations(Mathematics) Total View (642)
 
A large number of basic laws of nature in science and technology appear mathematically in the form of differential equations. The problem of solving differential equations is one of the most important tools for engineers and scientists. The readers are already familiar in solving the differential equations of first order and first degree. In this chapter we discuss some standard methods of so ......
Title: Bridge Course II
Published on: 01/07/13
Author: Pandurangappa C
Publisher: Interlinepublishing
Pages: 0
Price: Rs 0

22. Differential Equations(Mathematics) Total View (5)
 
A large number of basic laws of nature in science and technology appear mathematically in the form of differential equations. The problem of solving differential equations is one of the most important tools for engineers and scientists. The readers are already familiar in solving the differential equations of first order and first degree. In this chapter we discuss some standard methods of so ......
Title: Bridge Course II
Published on: 01/07/13
Author: Pandurangappa C
Publisher: Interlinepublishing
Pages: 0
Price: Rs 0

23. Application of Partial Differential Equations(Mathematics) Total View (346)
 
We now study three linear homogeneous second order PDEs which are important in physical applications, the wave equation, the heat equation and Laplace's equation.
Title: Engineering Mathematics - III
Published on: 17/03/14
Author: Pandurangappa C
Publisher: Sanguine Technical Publishers
Pages: 50
Price: Rs 37.5

24. Differential Equations - 2(Mathematics -I ) Total View (879)
 
This chapter is a continuation of Chapter 8. Here we consider some standard methods of solving ordinary linear differential equations of second and higher orders with constant coefficients, including the method of variation of parameters. Some simple applications are also illustrated.
Title: Engineering Mathematics Volume - I
Published on: 23/06/14
Author: Chandrasekharaiah D S (DSC)
Publisher: Prism Books Pvt Ltd
Pages: 104
Price: Rs 78

25. Computational Algorithms for the Configuration Design (Aerodynamics Airworthiness)(Aeronautical Engineering) Total View (5252)
 
Introduction, Theoretical Algorithms, Computational Algorithms, Optimization of Computational Grids , Parallel Computational Computing.
Title: Aerodynamics Airworthiness
Published on: 01/07/13
Author: Gupta S C
Publisher: Interlinepublishing
Pages: 28
Price: Rs 21



 
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