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