Engineering Mathematics-II
Higher Engineering Mathematics is a comprehensive book for undergraduate students of engineering. The book comprises of chapters on algebra, geometry and vectors, calculus, series, differential equations, complex analysis, transforms, and numerical techniques.
Language: English
Pages: 390
Author: Prof. P. Panigrahi, Prof. J. Kumar, Prof. P.V.S.N. Murthy and Prof. S. Kumar
Price: Free
Buy Book: Engineering Mathematics-I
Also Download: Engineering Mathematics-1
Also Download: Engineering Mathematics-3
Outlines of Engineering Mathematics-II
Module 1: Matrices and Linear Algebra
Lesson 1: Linear Equations and Matrices
Lesson 2: Rank of a Matrix and Solution of a Linear System
Lesson 3: Inverse of Matrices by Determinants and Gauss-Jordan Method
Lesson 4: Vector Spaces, Linear Dependence and Independence
Lesson 5: Basis and Dimension of Vector Spaces
Lesson 6: Eigenvalues and Eigenvectors of Matrices
Lesson 7: The Cayley Hamilton Theorem and Applications
Lesson 8: Diagonalization of Matrices
Lesson 9: Linear and Orthogonal Transformations
Lesson 10: Quadratic Forms
Module 2: Complex Variables
Lesson 11: Limit, Continuity, Derivative of Function of Complex Variable
Lesson 12: Analytic Function, C-R Equations, Harmonic Functions,
Lesson 13: Line Integrals in Complex Plane
Lesson 14: Cauchy’ Integral Theorem and Cauchy’s Integral Formula
Lesson 15: Infinite Series, Convergence Tests, Uniform Convergence
Lesson 16: Power Series
Lesson 17: Taylor and Laurent series
Lesson 18: Zeros and singularities
Lesson 19: Residue Theorem
Module 3: Fourier Series and Fourier Transform
Lesson 20: Introduction
Lesson 21: Fourier Series of a Periodic Function
Lesson 22: Convergence Theorems
Lesson 23: Half Range Sine and Cosine Series
Lesson 24: Integration and Differentiation of Fourier Series
Lesson 25: Bessel’s Inequality and Parseval’s Identity
Lesson 26: Complex Form of Series
Lesson 27: Fourier Integral
Lesson 28: Fourier Integrals (Cont.)
Lesson 29: Fourier Sine and Cosine Transform
Lesson 30: Fourier Transform
Lesson 31: Fourier Transform (Cont.)
Lesson 32: Fourier Transform (Cont.)
Lesson 33: Finite Fourier Transform
Also Download: System Engineering PDF Book
Module 4: Partial Differential Equations
Lesson 34: Partial Differential Equations
Lesson 35: Linear First Order Equation
Lesson 36: Geometric Interpretation of a First Order Equation
Lesson 37: Integral Surface through a Given Curve – The Cauchy Problem
Lesson 38: Non-Linear First Order p.d.e – Compatible System
Lesson 39: Non – linear p.d.e of 1st order complete integral – Charpit’s method
Lesson 40: Special Types of First Order Non-Linear p.d.e
Lesson 41: Classification of Semi-linear 2nd order Partial Differential Equations
Lesson 42: Solution of Homogeneous and Non-Homogeneous Linear Partial Differential Equations
Lesson 43: Non-Homogeneous Linear Equation
Lesson 44: Method of Separation of Variables
Lesson 45: One Dimensional Heat Equation
Lesson 46: One Dimensional Wave Equation
Lesson 47: Laplace Equation in 2-Dimension
Lesson 48: Application of Laplace and Fourier Transforms to Boundary Value Problems in p.d.es
Lesson 49: Laplace And Fourier Transform Techniques To Wave Equation and Laplace Equation
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