**Duration:** 24 weeks.

**Number of lectures per week:** 2 + tutorial

**Assessment:** Assignments counting 10%

**End-of-year Examination:** One 3 hour examination.

**Description: **

- 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.

**Additional references**

Glyn James, Advanced modern engineering mathematics, Addison-Wesley, 1999.

Wilfred Kaplan, Advanced mathematics for engineers, Addison-Wesley, 1981.

Oct 12, 2000

File translated from T

On 12 Oct 2000, 19:24.