School of Mathematics
School of Mathematics
Course 1S2  Mathematics for Science students 200001 (JF Mathematics as a whole subject within the Natural Science
Moderatorships (for those taking Physics).
JF Computational Physics and Chemistry.
JF Physics & Chemistry of Advanced Materials.
)
Lecturer: Dr. B. Redmond
Requirements/prerequisites: None
Duration:
Number of lectures per week: 2 lectures per week plus a tutorial every third week.
Assessment:
Two endofterm assignments assignment will each
count for 10% of the marks for section 2.
Endofyear Examination: Three 3hour exam. Result is combined with results of 1S1 and
1S3.
Description:
Vectors and linear algebra, differential equations, and applications
to physical examples.
More detailed outline:

Vectors, addition, scalar product, cross product,
vector equation of a line in 3 dimensions,
triple vector product, differentiation. (Anton (Calculus): 13.113.6)
Parametric equations (Anton (Calculus): 1.7); cylindrical coordinates
(Anton (Calculus): 13.8).
 Matrices, systems of linear equations, determinants.
(Anton&Rorres: Chapters 12)

Ordinary Differential Equations of first and second order.
Linear differential equations with constant coefficients.
Nonhomogeneous. (Kreysig: from Chapter 12)
 Applications/Examples:
Simple Harmonic motion, with and without resistance.
Electric circuits.
Radiocative decay.
Motion in a resisting 1dmensional medium.
(Anton (Calculus): Chapter 10, Kreysig: from Chapter 12)
Essential Reference
 Howard Anton, Calculus: a new horizon
(6th edition), Wiley, 1998.
Recommended references
 Howard Anton and Chris Rorres, Elementary Linear Algebra
applications version, (7th edition) Wiley 1994.
 Erwin Kreyszig, Advanced Engineering Mathematics, (7th
edition) Wiley, 1993.
 Kenneth A. Stroud,
Engineering mathematics : programmes and problems, (4th edition)
Macmillan, 1995.
 G. B. Thomas & R.L. Finney, Calculus and Analytic Geometry (9th
edition), Addison Wesley, 1996.
Oct 19, 2000
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On 19 Oct 2000, 10:59.