Module/Course Title: Numerical Method
Module course code KOMS120305	Student Workload 119 hours	Credits 3 / 4.5 ETCS	Semester 3	Frequency Odd Semester	Duration 16
1	Type of course Core Study Courses	Contact hours 40 hours of face-to-face (theoretical) class activity	Independent Study 48 hours of independent activity 48 hours of structured activities	Class Size 30
2	Prerequisites for participation (if applicable) -
3	Learning Outcomes Students can use mathematical and logical concepts that support the scientific fields of computer science Students can explain Taylor series and error analysis and can solve related problems Students can explain non-linear equations, linear equations and can provide the solution Students can explain interpolation and regression and can find the solution Students can explain integration and numerical derivatives and can find the solution
4	Subject aims/Content Numerical methods aim to make it easier for us to understand several numerical methods to solve mathematical equations that are difficult or cannot be solved analytically. Numerical methods can be used in various fields of science that formulate equations in a mathematical form. The advantage of the Numerical Method is that it can solve complex equations that cannot be solved analytically. Solving equations will be better and faster with the help of a computer. Some programming logic in the form of flowcharts will be displayed in each sub-discussion. Solving equations will be assisted with computer-based tools and basic programming languages. The course will concentrate on the fundamentals of two traditional branches of numerical mathematics: methods for solving ordinary differential equations and numerical methods of algebra and analysis. The characteristics of computer arithmetic, polynomial and spline interpolation, numerical integration, direct and iterative methods for solving linear and nonlinear systems of equations, and numerical methods for solving ordinary differential equations are among the topics that students will become familiar with. Study Material Introduction to Numerical Methods Taylor Series and Error Analysis Taylor Series and Error Analysis Solution of non-linear equation Solution of non-linear equation Solution of system of equations Solution of system of equations Introduction to numerical methods, Taylor series and error analysis, solutions to non-linear equations, solutions to linear equations Interpolation and regression Interpolation and regression Interpolation and regression Numerical integration Numerical integration Numerical Derivative Ordinary Differential Equation Interpolation and regression, numerical integration, numerical derivatives, ordinary differential equations
5	Teaching methods Synchronous: face to face/online meeting Asynchronous: Module delivery via elearning
6	Assesment Methods Attendance and participation
7	This module/course is used in the following study programme/s as well Computer Science Study Programme
8	Responsibility for module/course Dr. Luh Joni Erawati Dewi, S.T.,M.Pd. NIDN : 0025067602
9	Other Information Munir, R. 2015. “Metode Numerik”. Revisi keempat. Penerbit Informatika. Atkinson, K.E. An Introduction to Numerical Analysis. 2nd edition. John Wiley & Sons, 1989. Greenbaum A., Chartier, T.P. Numerical Methods: Design, Analysis and Computer Implementation of Algorithms. Princeton University Press, 2012. Stephen C. Chapra & R.P. Canale. 2002. Numerical Methods for Engineers, 4th Ed. Mc Graw Hill. Rinaldi Munir. 2006. Metode Numerik, Edisi Revisi. Informatika. Richard L. Burden. 1985. Numerical Analysis, 3rd Ed. Prindle, Weber & Schmidt Trefethen, Lloyd N. and David Bau III. Numerical Linear Algebra. SIAM: Society for Industrial and Applied Mathematics, 1997. ISBN: 9780898713619. Richard L. Burden, J. Douglas Faires. 2011. Numerical Analysis. Brooks/Cole Cengage Learning, Ninth Edition. Carl Erik Froberg, 1969. “Introduction to Numerical Analysis”, Addison-Wesley Publishing Company, Inc. Hamming, RW., 1962. “Numerical Method For Scientist and Engineer”, McGraw-Hill Book Company, Inc., New York.