Page 142 - buku panduan 20192020

Faculty of Science Handbook, Session 2019/2020

References: convergence. Properties of uniform convergence. Superior
1. Lipschutz, M. (1969). Schaum’s outline of differential limit and inferior limit. Power series, radius of convergence.
geometry. McGraw-Hill. Taylor series.
2. Oprea, J. (2004). Differential geometry and its
nd
applications (2 ed.). Prentice Hall. Assessment:
3. Kuhnel, W. (2005). Differential geometry: curves, Continuous Assessment: 40%
surfaces, manifolds (2 ed.). Amer. Math. Soc. Final Examination: 60%
nd
4. Abate, M., & Tovena, F. (2012). Curves and Surfaces.
Springer. Medium of Instruction:
5. Pressley, A.N. (2010). Elementary differential English

geometry. Springer.
Soft Skills:

SIM3010 TOPOLOGY CS3, CTPS3, LL2
References:
Topological Spaces. Continuity, connectedness and 1. Witold A.J. Kosmala (2004). A friendly introduction to
compactness. Separation axioms and countability. Metric analysis: Single and multivariable (2 ed.). Pearson
nd
spaces. Product spaces.
International.
2. Schroder, B. S (2008). Mathematical analysis: A
Assessment: concise introduction. John-Wiley.
Continuous Assessment: 40% 3. Richardson, L. F. (2008). Advanced calculus: An
Final Examination: 60%
introduction to linear analysis. John-Wiley.
Medium of Instruction: 4. Lay, S.R. (2014). Analysis with an introduction to proof
(5 ed.). Pearson.
th
English 5. Pedersen, S. (2015). From calculus to analysis.
Springer.
Soft Skills:
CTPS3, LL2
SIM3013 PROBABILISTIC METHODS IN
References: COMBINATORICS
1. Armstrong, M.A. (2010). Basic topology
(Undergraduate Texts in Mathematics). Springer. The probabilistic method and its applications in
2. Munkres, J. (2000). Topology (2 ed.). Prentice Hall combinatorics. The topics are selected from: The basic
nd
Inc. probabilistic methods applied on graphs, tournaments, and
3. McCluskey, A., & McMaster, B. (2014). Undergraduate set systems; the use of linearity of expectation for
topology: A working textbook. Oxford University Press. Hamiltonian paths and splitting graphs; alterations for lower
bound of Ramsey numbers, independent sets, packing and
recolouring; the second moment methods; random graphs
SIM3011 COMPLEX ANALYSIS – threshold functions, subgraphs, clique number and
chromatic number; the Lovász Local Lemma and its
Taylor and Laurent series. Singularities and zeroes. applications.
Residue Theory. Evaluation of certain Integrals. Arguments
Principle, Rouche’s theorem. Maximum Modulus Principle. Assessment:
Infinite Products. Entire Functions. Continuous Assessment: 40%
Final Examination: 60%
Assessment:
Continuous Assessment: 40% Medium of Instruction:
Final Examination: 60% English

Medium of Instruction: Soft Skills:
English CTPS3, LL2

Soft Skills: References:
CTPS3, LL2
1. Alon, N, & Spencer, J. (2008). The probabilistic
rd
References: method (3 ed.). Wiley.
1. John H. Mathews, & Russell W. Howell (2012). 2. Janson, S., Luczak, T., & Rucinski, A. (2000). Random
th
Complex analysis for mathematics and engineering (6 graphs. Wiley.
ed.). Jones & Bartlett Pub. Inc. 3. Matousek, J., & Nesetril, J. (1998). Invitation to
2. Saff, E. B., & Snider, A. D. (2003). Fundamental of discrete mathematics. Oxford University Press.
complex analysis. Pearson Education Inc. 4. Molloy, M., & Reed, B. (2002). Graph colouring and
3. Ali, Rosihan M., & Ravichandran, V. (2008). Complex the probabilistic method. Springer.
Analysis. Penerbit USM. 5. Lovász, L., Ruzsa, I., & Sós, Vera T. (Eds.).
4. Markushevich, A. I. (1985). Theory of functions of (2013). Erdös Centennial. Springer.
complex variables. Chelsea Publ. Co.
5. Brown, J., & Churchill, R.V. (2013). Complex variables
& applications (9 ed.). McGraw Hill. SIN1001 INTRODUCTION TO COMPUTING
th

MATLAB - Matlab environment, matrices, constants and
SIM3012 REAL ANALYSIS variables, operation, built-in functions, output format, plot
graphs, expressions and logical data, branches and loops,
Riemann integral. Integrable functions. Properties of the scripting, user-defined functions. Application of selected
Riemann integral. Integration in relation to differentiation. mathematical problems.
Differentiation of integrals. Improper integrals. Sequences
and series of functions. Pointwise and uniform

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