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Faculty of Science Handbook, Session 2017/2018

Humanity Skill: SIN1003 MATHEMATICAL METHODS I
CT3, LL2
First order ODE: Definitions, solution concepts, valid
References: solution intervals. Solutions to variable separable
equations, linear equations, Bernoulli, exact and non-exact,
1. Alon, N and Spencer, J. (2008). The Probabilistic homogeneous equations. Some applications of first order
rd
Method, Wiley (3 edition). ODE.
2. Janson, S., Luczak, T. and Rucinski, A.(2000).
Random Graphs, Wiley. Linear ODE with second and higher order: Definitions,
3. Matousek, J. and Nesetril, J. (1998). Invitation to solution concepts, linear independence, Wronskian.
Discrete Mathematics, Oxford University Press. Solution to homogeneous and non-homogeneous
4. Molloy, M. and Reed, B. (2002). Graph Colouring and equations. Method of undetermined coefficient, Variation of
the Probabilistic Method, Springer. parameters, Series solution of ordinary differential
5. Lovász, L., Ruzsa, I. and Sós, Vera T. (Eds.) equations, Frobenius’s method, Legendre and Bessel’s
(2013). Erdös Centennial, Springer. equations. Some applications of second order ODE.
Assessment
SIN1001 INTRODUCTION TO COMPUTING Continuous Assessment: 40%
Final Examination: 60%
MATLAB - Matlab environment, matrices, constants and
variables, operation, built-in functions, output format, plot Medium of Instruction:
graphs, expressions and logical data, branches and loops, English
scripting, user-defined functions. Application of selected
mathematical problems. Humanity Skill:
CS2, CT 3, LL 2
Assessment
Continuous Assessment: 50% References:
Final Examination: 50% 1. Elementary Differential Equations. William F. Trench,
Free downloadable edition 2013.
Medium of Instruction: 2. Differential Equations. Paul Blanchard, Robert L.
Bahasa Malaysia/English Devaney & Glen R. Hall, 4 edition, Cengage 2012.
th
3. An introduction to Differential Equations. James C.
Humanity Skill: Robinson, Cambridge University Press 2004.
CT 3, LL 2
References: SIN2001 MATHEMATICAL METHODS II
1. Matlab Programming for Engineers by Stephen
J.Chapman, Thomson, 2004. Computer arithmetic: floating-point numbers, round off
2. Engineering computation with MATLAB by David M. error, machine precision, overflow/underflow, numerical
Smith, Boston : Addison/Wesley, 2012. cancellation, truncation error.
3. Essentials of MATLAB programming by Stephen J.
Chapman, Stamford, CT : CENGAGE Learning, 2009. Taylor polynomial and limits.
4. Mastering MATLAB 7 by Duane Hanselman and
Bruce Littlefield, Pearson Education; 2005. Interpolation: Lagrange interpolation, Divided differences,
Hermite interpolation, cubic spline interpolation
SIN1002 INTRODUCTION TO WORKSHEET Roots of nonlinear equation: bisection method, fixed-point
iteration, Newton – Raphson method, secant method.
Basics of Spreadsheet, entering labels, numbers and Numerical differentiation: Forward, backward and central
formulae. Absolute & relative addressing, Excel functions. finite difference.
Graph plotting, use of solvers. Applications to some
selected mathematical problems Numerical Integration: Rectangular, trapezoidal, Simpson’s,
Romberg’s. Composite methods.
Assessment
Continuous Assessment: 50% System of linear equations. Matrix factorization, LU
Final Examination: 50% factorization.
Medium of Instruction: Assessment
Bahasa Malaysia/English Continuous Assessment: 40%
Final Examination: 60%
Humanity Skill:
CT 3, LL 2 Medium of Instruction:
Bahasa Malaysia/English
References:
1. Engineering with Excel by Ronald W. Larsen, Upper Humanity Skill:
Saddle River, NJ : PearsonPrentice Hall, 2011 C3, TS2, CT3, LL2
2. Excel for Engineers and Scientists by S. C. Bloch and
Sylvan Charles Bloch, John Wiley & Sons 2003 References:
3. Excel for Scientists and Engineers: Numerical 1. Atkinson, K. E. (1993), Elementary Numerical
Methods by E. Joseph Billo, Wiley-Interscience; 2007. Analysis, John Wiley & Sons, (2 Ed.).
nd
4. A guide to Microsoft Excel for scientists and engineers 2. Burden, R. L. & Faires, J. D. (2012), Numerical
th
by Bernard V. Liengme, London : Arnold, 1997. Analysis, Brooks/Cole, USA, (7 Ed.).
3. Brian Bradie, (2006), A Friendly Introduction to
Numerical Analysis, Pearson Education, New Jersey.

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