Page 50 - handbook 20162017

Faculty of Science Handbook, Session 2016/2017

SIN2006 VECTOR ANALYSIS SIN2008 OPTIMIZATION TECHNIQUE
Scalar and vector fields. Dot and cross products. Scalar Unconstraint optimization, necessary and enough
and vector triple products. conditions for optimality. Constraint optimization. Type of
Vector differentiation (ordinary and partial). Space curves. constraint. Special technique for solving non-linear
Displacement, velocity, and acceleration. Gradient. problem.
Divergence. Curl.
Line integrals and work. Conservative vector fields – path Assessment
independence, potential functions. Surface integrals. Continuous Assessment: 40%
Green’s theorem. Stokes’ theorem. Volume integrals. Final Examination: 60%
Divergence theorem of Gauss.
Curvilinear coordinates – polar, cylindrical, spherical Medium of Instruction:
coordinates Bahasa Malaysia/English
Assessment Humanity Skill:
Continuous Assessment: 40% CT3, LL2, CS3
Final Examination: 60%
References
Medium of Instruction: 1. Philip E. Grill, Walter Murray, Margaret H. Wright,
Bahasa Malaysia/English Practice Optimization Paperback,1982,
2. C. Mohan & Kusum Deep ,Optimization Techniques
Humanity Skill: Hardcover, 2011
CT3, LL2, CS3 3. L. R. Foulds, Optimization Techniques: An
Introduction, 1981,
References: 4. Singiresu S. Rao, Engineering Optimization: Theory
1. Vector calculus, 4 ed., Susan Jane Colley, Pearson and Practice, John Wiley & Sons, Inc. (2009)
th
Education, Inc., 2012.
2. Thomas’ Calculus Early Transcendentals 12 th ed.,
George B. Thomas,Jr.,Maurice D. Weir, and Joel SIN2009 COMPUTER GRAPHICS
Hass, Pearson Education, Inc., 2010. (Chap. 12—16)
3. Schaum’s Outline of Theory and Problems of Vector Introduction to C++ Compiler and OpenGL. Plane
Analysis and anIntroduction to Tensor Analysis, geometric coordinate. Coordinate transformations.
Murray R. Spiegel, McGraw-Hill, Inc., 1974. Polynomial interpolation. Continuity. Curve and surface
4. Vector Fields Vector analysis developed through its design.
applications to engineering and physics, J. A.
Shercliff, 1977. Assessment
5. Vector Analysis versus Vector Calculus, Antonio Continuous Assessment: 40%
Galbis and Manuel Maestre, Springer Final Examination: 60%
Science+Business Media, LLC, 2012.
Medium of Instruction:
Bahasa Malaysia/English
SIN2007 MANAGEMENT MATHEMATICS
Humanity Skill:
Output function: Theory and some concepts. Break even CS3, TS3, LL2, LS2
model. Optimization profit for monopoly and oligopoly
market. Inventory model. EOQ Model, reordering point, References
finite input rate, shortage and quantity discount. 1. Mathematical Elements for Computer Graphics, 2 nd
Probabilistic Model, safety stock and efficiency level. Ed., D.F. Rogers & J.A. Adams, McGraw Hill
International Editions, 1990.
Assessment 2. Computer Graphics, Donald Hearn, M. Pauline Baker,
Continuous Assessment: 40% Prentice Hall, 1994.
Final Examination: 60% 3. Computer Graphics Using Open GL, 2 Ed., F. S. Hill,
nd
Jr, Prentice Hall, 2001.
Medium of Instruction: 4. Computer Graphics, Schaum’s Outlines Series.
Bahasa Malaysia 5. OpenGL SUPER BIBLE (2 nd Ed), Richard S. Wright,
Jr., Michael Sweet, Waite Group Press, 2000D.G. Zill
Humanity Skill: & M.R. Cullen, Differential Equations with Boundary-
CS3, CT3, LL2 Value Problems, 7th Edition, Brooks/Cole, 2005
References:
1. Baldani, J. (1996), Mathematical Economics, The SIN3001 INTRODUCTION TO QUANTUM
Dryden Press. MECHANICS WITH COMPUTERS
2. Davies, K.R., McKeown, P.G. & Rakas, T.R. (1986),
Management Science : An Introduction, Kent Introduction to Quantum mechanics. The wave-function
Publishing Company. and its interpretation. One-dimensional time-independent
3. Winston, W.L. (1994), Operations Research: Schrodinger equation. Solution for the cases of the infinite-
applications and algorithms, 3rd ed., Duxbury Press. and finite-square well, harmonic oscillator potential and
4. Hillier, Frederick S. (1995), Introductory to Operations free-particle case. Formalism of quantum mechanics. Two-
Research, 6th edition, New York, McGraw-Hill. and three-dimensional systems. The hydrogen atom. The
5. Taha, Hamdy A(2011)., Operations Research: An concept of spin.
th
Introduction, 8 ,New York, Mcmillan.
6. C.D.J. Waters(2003), Inventory Control and Assessment
Management, University of Calgary, Canada. Continuous Assessment: 50%
Final Examination: 50%

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