Description

The assignments will count 10% (provisionally) and there will be a 3 hour examination in June. Dr. Houghton will take over the course in January.

• Laplace transforms (Kreyszig Chapter 5, or James Chapter 2, or Kaplan Chapter 4) and Z-transform (James Chapter 5). This continues the work on linear constant coefficient differential and difference equations begun in 1E2. It allows a more diverse variety of input functions.

• Systems of Differential Equations. Series Solutions of Differential Equations and Special Functions. (Kreyszig Chapter 4)

• Vector Calculus - Differential and Integral (Kreyszig Chapters 8 & 9).

• Optimisation (Kreyszig Chapter 20)

• Introduction to Partial Differential Equations (Kreyszig Chapter 11).

Objectives

To give the participants an understanding of how to solve the differential equations that arise in engineering, and to promote an ability among the participants to apply this knowledge in new situations.

Books

Main book
Erwin Kreyszig, Advanced Engineering Mathematics, (8th edition) Wiley, 1999. [Hamilton Library: counter reserve 510.24 L21*7]

Additional references

Glyn James, Advanced modern engineering mathematics, (2nd edition) Addison-Wesley, 1996. [Hamilton Library: S-LEN 510 N61]

Wilfred Kaplan, Advanced mathematics for engineers, Addison-Wesley, 1981. [Hamilton Library: S-LEN 515 M197 or counter reserve 515 M197;1]

There is a web site for the firts term of the course at http://www.maths.tcd.ie/~richardt/2E2 and this will be enhanced as the course progresses.

Richard M. Timoney Oct 12, 2000