School of Mathematics
School of Mathematics
Course 1S2 - Mathematics for Science students 2000-01 (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 end-of-term assignments assignment will each
count for 10% of the marks for section 2.
End-of-year Examination: Three 3-hour 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): 13.1-13.6)
Parametric equations (Anton (Calculus): 1.7); cylindrical coordinates
(Anton (Calculus): 13.8).
- Matrices, systems of linear equations, determinants.
(Anton&Rorres: Chapters 1-2)
-
Ordinary Differential Equations of first and second order.
Linear differential equations with constant coefficients.
Nonhomogeneous. (Kreysig: from Chapter 1-2)
- Applications/Examples:
Simple Harmonic motion, with and without resistance.
Electric circuits.
Radiocative decay.
Motion in a resisting 1-dmensional medium.
(Anton (Calculus): Chapter 10, Kreysig: from Chapter 1-2)
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.