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Course pro forma_mte3114

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SEMESTER 8 …

SEMESTER 8
IPGM


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  • 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.