SEMESTER 8 IPGM

1. Mohd Khairulzamani Bin Mohammad PISMP Matematik 1
Course Pro Forma
Program Ijazah Sarjana Muda Perguruan Dengan Kepujian
(Matematik Pendidikan Rendah)
Course Title Applications of Mathematics
(Aplikasi Matematik)
Course Code MTE3114
Credit 3(2+1)
Contact 60 hours
Hours
Language Of English Language
Delivery
Prerequisite to Nil
entry
Semester One/ Two
Learning 1. Explore the role of mathematics in modern technologies.
outcomes
2. Investigate mathematics as an ongoing cultural activity
3. Demonstrate an understanding of the nature of mathematics
and its applications
4. Apply the various mathematical processes and problem solving
techniques in real life
Synopsis This course focuses on the applications of mathematics in various
areas. Its contents cover mathematics in everyday life, classical codes
and ciphers, codes and cryptography, use of mathematical modeling in
biology and ecology, and some key mathematical ideas related to
calculus. Experience involving applications of mathematics is provided
through practical activities.
Kursus ini berfokus kepada aplikasi matematik dalam pelbagai bidang.
Isi kandungannya meliputi matematik dalam kehidupan harian, kod
klasik dan nombor rahsia, kod dan kriptografi, penggunaan model
matematik dalam biologi dan ekologi, serta sebahagian idea utama
matematik berkaitan dengan kalkulus. Pengalaman melibatkan
aplikasi matematik dibekalkan melalui aktiviti-aktiviti praktikal.

2. Mohd Khairulzamani Bin Mohammad PISMP Matematik 1
Topic Content Hours
Theory
1 Mathematics in everyday life 4
Role of mathematics in modern technologies
Mathematics as an ongoing cultural activity
Bases for contemporary mathematics
2 Classical codes and ciphers 4
The development of classical codes and
ciphers using the following techniques
o Transposition
o Substitution
3 Codes and cryptography 6
Error correcting codes: repetition codes, parity
check codes, Hamming codes, Hadamard
codes and the 1969 Mariner spacecraft
Linear codes: solution spaces for systems of
linear equations and their use in error
correcting codes
Public-key cryptography, including the use of
elementary number theory to produce
computationally intractable systems of codes,
the RSA algorithm
4 Use of mathematical modeling in biology and 10
ecology
Predator-prey models: separate and non-
separate generations, the logistic equation,
interactions between species, simulations
The use of simple differential equations in
modeling safe and effective drug dosages
Modeling the spread of diseases such as
AIDS, bird flu etc
5 Some key mathematical ideas related to calculus 6
Archimedes’ approximation of π
Archimedes’ determination of the area of a
circle
Zeno’s paradox
Newton’s investigation of cubic curves
Sub Total 30

3. Mohd Khairulzamani Bin Mohammad PISMP Matematik 1
Practical
1 Mathematics in everyday life 10
Investigate the following
o Role of mathematics in modern
technologies
o Mathematics as an ongoing cultural
activity
o Bases for contemporary mathematics
Compile the findings
Submit a written report
2 Mathematical modeling 10
Conduct a mathematical modeling activity
based on the following steps
o Specify a real problem
o Formulate a mathematical model
o Solve the mathematical problem
o Interpret the solution
o Compare with reality
o Communicate the results
Group presentation
Submit a written report
3 Some key mathematical ideas related to calculus 10
Group project
o Explore applications and relations of the
following
 Archimedes’ approximation of π
 Archimedes’ determination of the area
of a circle
 Zeno’s paradox
 Newton’s investigation of cubic curves
o Presentation of project
Sub Total 30
Total 60
Assessment Coursework 60%
Examination 40 %
Main Coutinho, S. C. (1999). The mathematics of ciphers: Number
References theory and RSA Cryptography. Natick, MA: A. K. Peters.
Dym, C. L. (2004). Principles of mathematical modelling. 2 nd ed.
Boston: Elsevier Academic Press.
Haydock, R. (1991). Information and coding. UK: Cambridge.

4. Mohd Khairulzamani Bin Mohammad PISMP Matematik 1
Stacey, K. & Stillman, G. (2002). Modelling trends in numbers of
deaths due to HIV/AIDS infection in USA and Australia. Melbourne:
University of Melbourne, CAS-CAT Project.
Wilf, H. S. (1986). Algorithms and complexity. Englewood Cliffs, NJ:
Prentice-Hall.