Page 120 - Handbook Bachelor Degree of Science Academic Session 20202021

Faculty of Science Handbook, Academic Session 2020/2021

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
th
Continuous Assessment: 40% analysis for mathematics and engineering (6 ed.).
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,
(6 ed.). John Wiley. geometry, combinatorics, applied and computational
th
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 tools/elements of
SIM2005 INTRODUCTION TO ANALYSIS mathematics to undertake each task. In undertaking these
tasks, students are required to carry out to a certain extend
Sequences. Infinite series, convergence. Tests of some literature survey, background reading and explore
convergence. Absolute and conditional convergence. some elementary research problems. During guided learning
Rearrangement of series. Topology of the real line. sessions, students are also expected to critique, analyse,
Compactness. Properties of continuous functions. Uniform argue logically and deduce findings. Each group is required
continuity. Derivative of a function. Properties of to produce and present reports for the tasks given.
differentiable functions. Mean Value Theorems. Higher
order derivatives. de l’Hôpital’s rule. Assessment:
Coursework: 100%
Assessment:
Continuous Assessment: 40% Medium of Instruction:
Final Examination: 60% English

Medium of Instruction: Soft Skills:
English CS4, TS3, LL2, EM2, LS2

Soft Skills:
CS3, CTPS3, LL2 SIM2008 THEORY OF DIFFERENTIAL EQUATIONS

References: The existence and uniqueness theorem. Solutions to the
1. Lay, R. (2014). Analysis with an Introduction to proof system of linear differential equations with constant
(5 ed.). Pearson. coefficients. Automatic linear system and linear
th
2. Kosmala, W. (2004). A friendly introduction to analysis approximation of dimension two, types of critical points,
nd
(2 ed.). Pearson. stability.
3. Haggarty, R. (1993). Fundamentals of mathematical
nd
analysis (2 ed.). Addison-Wesley Publ. Co. Assessment:
4. Bartle, R.G., & Sherbert, D.R. (2011). Introduction to Continuous Assessment: 40%
th
real analysis (4 ed.). John Wiley & Sons Inc. Final Examination: 60%
5. Oon, S.M (2017). A first course in real analysis.
University of Malaya Press. Medium of Instruction:
English

SIM2006 COMPLEX VARIABLES Soft Skills:
CS3, CTPS5, LL2
Complex numbers system. Complex functions, limits,
continuity, differentiability and analytic function. Cauchy- References:
Riemann equations, Harmonic functions. Mappings and 1. Zill D.G., Wright, W.S., & Cullen, M.R. (2013).
other properties of elementary functions. Complex Differential equations with boundary-value problems
th
Integrations, Cauchy’s Theorem, Cauchy’s Integral Formula. (8 ed.). Brooks/Cole Cengage Learning.
2. Chicone, C. (2006). Ordinary differential equations
nd
with applications (2 ed.). Springer.
Assessment: 3. Logan. J.D. (2011). A first course in differential
nd
Continuous Assessment: 40% equations (2 ed.). Springer.
Final Examination: 60%

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