Duration:
Number of lectures per week: 8 lectures per week including
course 061 (1 lecture per week for part of the year; separate course
description)
Assessment: The three main sections of the course will count equally towards
the
overall result for the course.
Two end-of-term assignments assignment will each
count for 10% of the marks for section 2.
Practical work, assignments, tutorial work and 061 assignment results
will count for 1/4 of the marks for section
3,
with the paper counting for the remaining 3/4.
End-of-year Examination: Three 3-hour exams on each section, papers 1, 2 and 3
Description:
Section 1 Dr. S. McMurry
Antiderivatives and integration.
Trigonometric and hyperbolic functions, and the corresponding inverse functions; logarithmic function, exponential function.
Introduction to partial derivatives.
Complex numbers.
Matrices, determinants and systems of linear equations.
There is a web page for this part of the course, which is upmydated during
the year. The address is
http://www.maths.tcd.ie/pub/coursework/1S1
Section 2 Dr. B. Redmond
Vectors and differential equations (in Michaelmas term), particle and rigid body mechanics.
More detailed outline:
Ordinary Differential Equations of first and second order. Linear differential equations with constant coefficients. Nonhomogeneous. (10 lectures)
Section 3 Dr. R. M. Timoney
Recommended references
S. Wolfram, Mathematica a system for doing mathematics by computer, Addison-Wesley (3rd edition) 1996, published by Wolfram Media and Cambridge University Press.
G. B. Thomas & R.L. Finney, Calculus and Analytic Geometry (9th edition), Addison Wesley, 1996.
The course has 4 main aims:
To offer a taste of the facilities available on the Internet.
To teach the programming language Java.
To introduce the LATEX system for printing mathematics.
The course is entirely practical in character. At the end of the course you should be able to use a Unix system with confidence; should be able to use the Internet for sending mail, for accessing the World-Wide-Web, and for other purposes; should be able to write simple programs in C++; and should be able to present mathematical documents in LATEX.
Dec 9, 1998