EE2090 { Basic Engineering Mathematics Assoc. Prof. M ...

EE2090 ? Basic Engineering Mathematics

Assoc. Prof. M. Adams Room : S2.2-B2-23 Extn : 4361

Email : eadams@ntu.edu.sg

TOPICS 1. Multiple Integrals 2. Infinite Sequences & Series 3. Vectors 4. Introduction to Laplace Transforms

EE2090 ? Basic Engineering Mathematics

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Recommended Text Books

Text: 1. Gerald L. Bradley & K.J. Smith, "Calculus", 3rd Edition, Prentice Hall. 2. Erwin Kreyzig, "Advanced Engineering Mathematics, 8th Edition, John Wiley, 1999.

EE2090 ? Basic Engineering Mathematics

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Course Contents

Multiple Integrals 1. Double Integrals (a) Regions of Integration (b) Iterated Integrals (c) Double Integrals in Polar Coordinates 2. Triple Integrals

Infinite Sequences & Series 1. Sequences and Series 2. Convergence and Tests for Convergence

Vectors 1. Vectors in the Plane 2. Dot and Cross product 3. Lines and Planes in Space 4. Vector Methods for Measuring Distance in R3

EE2090 ? Basic Engineering Mathematics

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Course Contents

Laplace Transforms 1. Definition (a) Linearity (b) Inverse Laplace Transform 2. Properties of Laplace Transforms (a) Differentiation (b) Integration (c) Shifting on the s-axis (d) Shifting on the t-axis

EE2090 ? Basic Engineering Mathematics

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EE2090

2004/05

MULTIPLE INTEGRALS

We shall examine ? Double Integrals, and ? Triple Integrals

First, the Double Integrals The Double Integral of f over the region R is

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