School of Mathematics
School of Mathematics
Module MA1S11 - Mathematics for Scientists (first semester)
2010-11 (
JF Mathematics as a whole subject within the Science
Moderatorships. JF Human Genetics. JF Computational Chemistry.
JF Medicinal Chemistry. JF Physics & Chemistry of Advanced Materials.
)
Lecturer: Dr. Derek Kitson, Dr. Stefan Sint
Requirements/prerequisites: none.
Duration: Michaelmas term, 11 weeks
Number of lectures per week: This is the first semester module of a two semester
seqeuence.
It leads on to module MA1S12 in
the second semester. (MA1S11 and MA1S12 each have 10 ECTS credits.
There will be separate results for MA1S11 and MA1S12,
weighted as 10 credits each, and compensation rules will apply
according to the degree programme.)
For the first semester, there will be 6 lectures,
2 tutorials and,
for several of the weeks,
1 computer practical.
Assessment: Practical work, assignments, tutorial work and computer
lab assignment results
will count for 25% of the marks,
There will be
final examination in June
counting for the remaining 75%.
End-of-year Examination:
Three hour exam.
Description:
Calculus with applications for Scientists
The lecturer for this part will be Dr. Sint.
The main textbook will be [Anton] and
the syllabus will be approximately 7 Chapters of [Anton] (numbered
differently depending on the version and edition)
Chapter headings are
Discrete Mathematics for Scientists
The order of the topics listed is not chronological.
Some of the topics listed below linear algebra will be
interspersed with linear algebra.
- Linear algebra
This reference for this part of the course will be
[AntonRorres]. The syllabus will be approximately
chapters 1, 3
and parts of 10
from [AntonRorres].
-
Vectors, geometric, norm, vector addition, dot product
- Systems of linear equations and Gauss-Jordan elimination;
- Matrices, inverses, diagonal, triangular, symmetric, trace;
- selected application in different branches of science.
- Mathematica.
Introduction to the computer algebra (symbolic mathematics) system.
Uses for calculus, graphing, matrix calculations. Exercises could
include applications of ideas from Maths 1S1 (graphing,
Newton's method, numerical integration via trapezoidal rule and
Simpsons rule).
- Spreadsheets.
A brief overview of what spreadsheets do.
- Numbers.
Binary, octal and hexadecimal numbers and algorithms for converting
between them.
Essential References
- [Anton]
-
Combined edition :
Calculus : late transcendentals : Howard Anton, Irl Bivens, Stephen Davis.
Combined 9th ed;
Publisher New York : Wiley, c2010).
[Hamilton 515 P23*8;2]
or
Calculus : single variable / Howard A. Anton, Irl Bivens, Stephen
Davis. 9th ed. 2009 [Hamilton 515 P2*8;4, S-LEN 515 P2*8]
- [AntonRorres]
-
Howard Anton & Chris
Rorres,
Elementary Linear Algebra with supplementary applications.
International Student Version (10th edition).
Publisher Wiley, c2011.
[Hamilton 512.5 L32*9;-5, S-LEN 512.5 L32*9;6-15]
Recommended reference
- [Thomas]
-
Thomas' calculus.
Author Weir, Maurice D.
Edition 11th ed / based on the original work by George B.
Thomas, Jr., as revised by Maurice D. Weir, Joel Hass, Frank R.
Giordano
Publisher Boston, Mass., London : Pearson/Addison Wesley, c2005.
[Hamilton 515.1 K82*10;*]
Sep 29, 2010
File translated from
TEX
by
TTH,
version 2.70.
On 29 Sep 2010, 17:21.