**Duration:** 22 weeks excluding examining period.

**Number of lectures per week:** 2 + 1 tutorial

**Assessment:**

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

**Description: **

**Objectives.**
The objectives of this course are
to give the participants a basic grounding in the mathematics that
underlies virtually all of the applications of the mathematics to
engineering and to promote an ability among the participants to
apply this knowledge to new situations.

**Syllabus.**

*Multivariate Calculus.*
This extends
the calculus of one variable studied in 1E1 to several variables.

Textbook: *Calculus*, Thomas & Finney (10th ed.), Chapters 11-12.

*Linear Algebra.*
This continues the study of linear algebra
begun in 1E2.

Textbook: *Elementary Linear Algebra* (with applications),
Anton & Rorres, Chapters 4-7.

*Fourier Series, Fourier Transform.*
This is new, heavily
relying on the theories of linear algebra.

Textbook: *Advanced Engineering Mathematics*, Kreyszig,
Chapter 10.

See `http://www.maths.tcd.ie/~zaitsev/2E1.html`
for more information.

Mar 14, 2005

File translated from T

On 14 Mar 2005, 21:38.