ENGINEERING MATHEMATICS - 3
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Engineering mathematics is the art of applying maths to complex real-world problems; combining mathematical theory, practical engineering and scientific computing to address today’s technological challenges.
Outlines of Engineering Mathematics-III
Module 1: Numerical Analysis
Lesson 1: Finite Differences
Lesson 2: Relation between Difference Operator
Lesson 3: Sources of Error and Propagation of Error in the Difference Table
Lesson 4: Solutions of Non-Linear Equation
Lesson 5: Secant and Regula-Falsi Methods
Lesson 6: Newton-Raphson Method
Lesson 7: Linear System of Algebraic Equations – Jacobi Method
Lesson 8: Gauss-Seidel Iteration Method
Lesson 9: Decomposition Methods
Lesson 10: Interpolation
Lesson 11: Higher Order Lagrange Interpolation
Lesson 12: Newton’s Forward Interpolation Formula with Equal Intervals
Lesson 13: Newton’s Backward Interpolation Polynomial
Lesson 14 Gauss Interpolation
Lesson 15: Everett’s Central Difference Interpolation
Lesson 16: Stirling’s and Bessel’s Formula
Lesson 17. Newton’s Divided Difference Interpolation
Lesson 18: Numerical Differentiation
Lesson 19 Numerical Integration
Lesson 20: Simpson’s one Third and Simpson’s Three Eighth Rules
Lesson 21: Boole’s and Weddle’s Rules
Lesson 22: Gaussian Quadrature
Lesson 23: Difference Equations
Lesson 24: Non Homogeneous Difference Equation
Lesson 25: Numerical Solutions of Ordinary Differential Equations
Lesson 26: Taylor Series Method
Lesson 27: Single Step Methods
Lesson 28: Modified Euler Method
Lesson 29: Runge-Kutta Methods
Lesson 30 4th Order Runge-Kutta Method
Lesson 31: Methods for Solving Higher Order Initial Value Problems
Lesson 32: System of I.V.Ps.- th Order R-K Method
Module 2: Laplace Transform
Lesson 33: Introduction
Lesson 34: Laplace Transform of Some Elementary Functions
Lesson 35: Existence of Laplace Transform
Lesson 36: Properties of Laplace Transform
Lesson 37: Properties of Laplace Transform (Cont.)
Lesson 38: Properties of Laplace Transform (Cont.)
Lesson 39: Properties of Laplace Transform (Cont.)
Lesson 40: Inverse Laplace Transform
Lesson 41: Properties of Inverse Laplace Transform
Lesson 42: Convolution for Laplace Transform
Lesson 43: Laplace Transform of Some Special Functions
Lesson 44: Laplace and Inverse Laplace Transform: Miscellaneous Examples
Lesson 45: Application of Laplace Transform
Lesson 46: Applications of Laplace Transform (Cont.)
Lesson 47: Applications to Heat Equations
Lesson 48: Application of Laplace Transform (Cont.)
AND MORE
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