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Understanding Engineering Mathematics



1. Number and Arithmetic
2. Algebra
3. Functions and Series
4. Exponential and Logarithm Functions
5. Geometry of Lines, Triangles and Circles
6. Trigonometry
7. Coordinate Geometry
8. Techniques of Differentiation
9. Techniques of Integration
10.Applications of Differentiation and Integration
12.Complex Numbers
13.Matrices and Determinants
14.Analysis for Engineers - Limits, Sequences, Iteration, Series and All That
15.Ordinary Differential Equations
16.Funcions of More than One Variable - Partial Differentiation
17. An Appreciation of Transform Methods
-The Laplace transform
-Laplace Transform of the elementary function
-Properties, and Inverse Laplace transform
-Solution of initial value problems by Laplace Transform
-Linear systems and the principle of sueprposition
-Orthogonality relations for trigonometric functions
-The Fourier series expansion
-The Fourier coeffcients
-Answers to reinforcement exercises

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