Page 143 - buku panduan 20192020

Faculty of Science Handbook, Session 2019/2020

Assessment Medium of Instruction:
Continuous Assessment: 50% English
Final Examination: 50%
Soft Skills:
Medium of Instruction: CS2, CTPS3, LL2
Bahasa Malaysia/English
References:
Soft Skills: 1. William F. Trench. (2013). Elementary differential
CTPS3, LL2 equations. Retrieved from:
http://ramanujan.math.trinity.edu/wtrench/texts/TREN
References: CH_DIFF_EQNS_I.PDF
1. Craig S. Leng. (2013). Learning to program using 2. Paul Blanchard, Robert L. Devaney, & Glen R. Hall.
MATLAB. John Wiley & Sons, Inc. (2012). Differential equations (4 ed.). Cengage.
th
2. Stephen J. Chapman. (2016). MATLAB programming 3. James C. Robinson. (2004). An introduction to
for engineers. Cengage Learning. differential equations. Cambridge University Press.
3. MATLAB ® primer R2018a. (2018). MathWorks, Inc.
4. Alfio Quarteroni, Fausto Saleri, & Paola Gervasio
(2010). Scientific Computing with MATLAB and Octave. SIN2001 MATHEMATICAL METHODS II
Berlin Heidelberg: Springer-Verlag.
5. Brian R. Hunt, Ronald L. Lipsman, Jonathan M. Computer arithmetic: floating-point numbers, round off
Rosenberg, Kevin R. Coombes, John E. Osborn, & error, machine precision, overflow/underflow, numerical
Garrett J. Stuck. (2006). A guide to MATLAB ® for cancellation, truncation error.
beginners and experienced users. Cambridge University
Press. Taylor polynomial and limits.

Interpolation: Lagrange interpolation, Divided differences,
SIN1002 INTRODUCTION TO WORKSHEETS Hermite interpolation, cubic spline interpolation

Basics of Spreadsheet, entering labels, numbers and Roots of nonlinear equation: bisection method, fixed-point
formulae. Absolute & relative addressing, Excel functions. iteration, Newton – Raphson method, secant method.
Graph plotting, use of solvers. Applications to some Numerical differentiation: Forward, backward and central
selected mathematical problems finite difference.

Assessment Numerical Integration: Rectangular, trapezoidal, Simpson’s,
Continuous Assessment: 50% Romberg’s. Composite methods.
Final Examination: 50%
System of linear equations. Matrix factorization, LU
Medium of Instruction: factorization.
Bahasa Malaysia/English
Assessment
Soft Skills: Continuous Assessment: 40%
CTPS3, LL2 Final Examination: 60%

References: Medium of Instruction:
1. Ronald W. Larsen. (2011). Engineering with Excel. Bahasa Malaysia/English
Upper Saddle River, NJ: Pearson Prentice Hall.
2. S. C. Bloch, & Sylvan Charles Bloch. (2003). Excel for Soft Skills:
engineers and scientists. John Wiley & Sons. C3, TS2, CTPS3, LL2
3. E. Joseph Billo. (2007). Excel for scientists and
engineers: Numerical methods. Wiley-Interscience. References:
4. Bernard V. Liengme. (1997). A guide to Microsoft 1. Atkinson, K. E. (1993). Elementary numerical analysis
Excel for scientists and engineers. London: Arnold. (2 ed.). John Wiley & Sons.
nd
2. Burden, R. L., & Faires, J. D. (2012). Numerical
th
analysis (7 ed.). USA: Brooks/Cole.
SIN1003 MATHEMATICAL METHODS I 3. Brian Bradie. (2006). A friendly introduction to
numerical analysis. New Jersey: Pearson Education.
First order ODE: Definitions, solution concepts, valid
solution intervals. Solutions to variable separable
equations, linear equations, Bernoulli, exact and non-exact, SIN2002 STRUCTURED PROGRAMMING
homogeneous equations. Some applications of first order
ODE. Algorithms: Structured programming – sequence, decision
and loops. Object-oriented design.
Linear ODE with second and higher order: Definitions,
solution concepts, linear independence, Wronskian. C++ programming: fundamental data types – int, double,
Solution to homogeneous and non-homogeneous char. C++ operators, precedence. Pre-processor directives.
equations. Method of undetermined coefficient, Variation of In-Built functions. User-defined functions – pass by value,
parameters, Series solution of ordinary differential pass by reference. One-dimensional and two-dimensional
equations, Frobenius’s method, Legendre and Bessel’s arrays.
equations. Some applications of second order ODE. Introduction to user-defined data types – structures and
classes.
Assessment
Continuous Assessment: 40% Applications to numerical methods: integer- and floating
Final Examination: 60% point arithmetic, root-finding, solution of ordinary differential
equations. Use of random number generators.
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