School of Mathematics
School of Mathematics
Course 1S3 - Mathematics for Science students 2001-02 (JF Mathematics as a whole subject within the Natural Science
Moderatorships. JF Human Genetics. JF Computational Physics and Chemistry.
JF Medicinal Chemistry. JF Physics & Chemistry of Advanced Materials.
Lecturer: Dr. R. M. Timoney
Number of lectures per week: 2 lectures per week in Michaelmas Term, 2.5 in Hilary and
Trinity Terms, plus a tutorial every third week.
Practical work, assignments, tutorial work and 061 assignment results
will count for 1/4 of the marks,
with the paper counting for the remaining 3/4.
End-of-year Examination: Three hour exam. Result is combined with results of 1S1 and
There is a web page for this part of the course, which is upmydated during
the year. The address is
- Introduction to computing
Binary, octal and hexadecimal integers;
storage of integers and floating point numbers in computers (via
- Introduction to symbolic computing
Use of a computer algebra system.
Facilities of the system for elementary number theory and algebra.
Elementary facilities for differentiation, integration and
Plotting and the mathematical basis.
User defined functions.
Anton (Calculus, 6th edition): 1.3, 1.7, Chapter 5, exercises in Chapter 2-3, 7-10
marked CAS or `graphing calculator'.
Anton, Bivens & David, Calculus (7th edition): 1.3, 1.8, Chapter 4,
exercises in Chapters 3, 5-9 marked CAS or `graphing utility'.
Mathematica book Part 1 (less
than what is in section 1.1-1.9).
- Differential Calculus
Maxima and minima and plotting (with the aid of symbolic
computation); parametric plots.
Linear approximation, root finding using Newton's method.
Anton (Calculus 6th edition): Chapter 5 and section 3.6.
Anton, Bivens & David, Calculus (7th edition): Chapter 4 and section
The concept of a definite integral (area or Riemann sum).
Elementary algorithms for computing definite integrals
(trapezoidal and Simpson's rules).
Fundamental Theorem of Calculus and antiderivatives
Techniques of integration and standard applications
(backed up by practical work using computer algebra).
Anton (Calculus, 6th edition): 7.1, 7.5-7.7, 8.1-8.4, Chapter 9.
Anton, Bivens & David, Calculus (7th edition): 5.1, 5.4-5.7,
6.1-6.4, Chapter 8.
- An introduction to probability and statistics
The notion of a probability on a sample space, mean and standard deviation
for random variables, sample mean and sample variance, the binomial,
poisson and normal distributions.
Kreysig: 22.1-22.3, 22.5-22.8.
Howard Anton, Irl Bivens & Stephen Davis,
Calculus, 7th Edition, Wiley (2001)
Howard Anton, Calculus: a new horizon
(6th edition), Wiley, 1998.
- Erwin Kreyszig, Advanced Engineering Mathematics, (8th
edition) Wiley, 1999.
S. Wolfram, Mathematica book,
Addison-Wesley (4th edition) 1999, published by Wolfram Media and
Cambridge University Press.
Oct 9, 2001
File translated from
On 9 Oct 2001, 11:36.