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 L^{A}T_{E}X 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 L^{A}T_{E}X.
Dec 9, 1998