Page 139 - buku panduan 20192020

Faculty of Science Handbook, Session 2019/2020

SIM2004 ALGEBRA I Medium of Instruction:
English
Groups and subgroups. Order of an element and order of a
subgroup. Lagrange’s theorem. Normal subgroups and Soft Skills:
factor groups. Homomorphisms and isomorphisms, Rings, CTPS3, LL2
integral domains and fields. Subrings and subfields. Ideals
and quotient rings. Rings of polynomials. The Division References:
algorithm and Euclidean algorithm in polynomial rings. 1. Churchill, R.V., & Brown, J.W. (2013). Complex
th
Unique factorization theorem. variables and applications (9 ed.). New York, NY:
McGraw-Hill Education.
Assessment: 2. Mathews, J.H., & Howell, R.W. (2012). Complex
Continuous Assessment: 40% analysis for mathematics and engineering (6 ed.).
th
Final Examination: 60% Bullington, MA: Jones & Bartlett Learning.
3. Nguyen, H.B. (1994). Analisis kompleks dan
Medium of Instruction: penerapan. Malaysia: Dewan Bahasa dan Pustaka.
rd
English 4. Howie, J.M. (2007). Complex analysis (3 ed.). New
York, NY: Springer.
Soft Skills:
CTPS3, LL2
SIM2007 APPRECIATION OF MATHEMATICS
References:
1. Gilbert, L., Gilbert, J. (2014). Elements of modern Students will be put into groups. Each group will be given 2
th
algebra (8 ed.). Brooks/Cole. mathematical tasks to work on. These tasks will come from
2. Durbin, J.R. (2008). Modern algebra: An introduction a variety of topics selected from, but not limited to: algebra,
th
(6 ed.). John Wiley. geometry, combinatorics, applied and computational
3. Judson, T.W. (2018). Abstract algebra: Theory and mathematics, probability and statistics, science &
applications. Open Source. technology, mathematics and society, management
science, finance mathematics, actuarial sciences, history
and philosophy. Students collectively will use
SIM2005 INTRODUCTION TO ANALYSIS tools/elements of mathematics to undertake each task. In
undertaking these tasks, students are required to carry out
Sequences. Infinite series, convergence. Tests of to a certain extend some literature survey, background
convergence. Absolute and conditional convergence. reading and explore some elementary research problems.
Rearrangement of series. Topology of the real line. During guided learning sessions, students are also
Compactness. Properties of continuous functions. Uniform expected to critique, analyse, argue logically and deduce
continuity. Derivative of a function. Properties of findings. Each group is required to produce and present
differentiable functions. Mean Value Theorems. Higher reports for the tasks given.
order derivatives. de l’Hôpital’s rule.
Assessment:
Assessment: Coursework: 100%
Continuous Assessment: 40%
Final Examination: 60% Medium of Instruction:
English
Medium of Instruction:
English Soft Skills:
CS4, TS3, LL2, EM2, LS2
Soft Skills:
CS3, CTPS3, LL2
SIM2008 THEORY OF DIFFERENTIAL EQUATIONS
References:
1. Lay, R. (2014). Analysis with an Introduction to proof The existence and uniqueness theorem. Solutions to the
(5 ed.). Pearson. system of linear differential equations with constant
th
2. Kosmala, W. (2004). A friendly introduction to analysis coefficients. Automatic linear system and linear
nd
(2 ed.). Pearson. approximation of dimension two, types of critical points,
3. Haggarty, R. (1993). Fundamentals of mathematical stability.
analysis (2 ed.). Addison-Wesley Publ. Co.
nd
4. Bartle, R.G., & Sherbert, D.R. (2011). Introduction to Assessment:
th
real analysis (4 ed.). John Wiley & Sons Inc. Continuous Assessment: 40%
5. Oon, S.M (2017). A first course in real analysis. Final Examination: 60%
University of Malaya Press.
Medium of Instruction:
English
SIM2006 COMPLEX VARIABLES
Soft Skills:
Complex numbers system. Complex functions, limits, CS3, CTPS5, LL2
continuity, differentiability and analytic function. Cauchy-
Riemann equations, Harmonic functions. Mappings and References:
other properties of elementary functions. Complex 1. Zill D.G., Wright, W.S., & Cullen, M.R. (2013).
Integrations, Cauchy’s Theorem, Cauchy’s Integral Differential equations with boundary-value problems
Formula. (8 ed.). Brooks/Cole Cengage Learning.
th
2. Chicone, C. (2006). Ordinary differential equations
Assessment: with applications (2 ed.). Springer.
nd
Continuous Assessment: 40%
Final Examination: 60% 3. Logan. J.D. (2011). A first course in differential
nd
equations (2 ed.). Springer.

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