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# Course Information

 Course Name Turkish Kimya Mühendisliğinde Hesaplamalı Yöntemler English Computati. Meth. in Chem. Eng. Course Code KMM 222E Credit Lecture (hour/week) Recitation (hour/week) Laboratory (hour/week) Semester 4 4 2 2 - Course Language English Course Coordinator Melek Mümine Erol Taygun Course Objectives 1. To develop an understanding of the mathematics underlying the various numerical methods and how they are applied to solve engineering problems 2. To select and apply appropriate numerical methods to obtain approximate solutions to chemical engineering problems 3. To analyze and evaluate the accuracy of numerical methods 4. Develop, test and evaluate simple numerical algorithms in MATLAB for solving engineering problems. 5. To develop computational and data analysis skills Course Description Numerical methods and computational problem solving; MATLAB fundamentals; MATLAB programming; round-off and truncation errors; solution of nonlinear algebraic equations (root finding); solution of systems of equations; curve fitting and linear/nonlinear regression; polynomial interpolation; numerical differentiation; numerical integration; numerical solution of ordinary differential equations (initial value and boundary value problems) Course Outcomes Upon completion of this course, students should be able to: 1. Apply iterative methods to solve for the roots of a nonlinear algebraic equation 2. Solve systems of linear and nonlinear equations 3. Analyze data using polynomial interpolation and curve fitting 4. Use numerical integration and differentiation in engineering problems 5. Solve ordinary differential equations using single-step and multi-step methods 6. Determine the sources and effects of truncation and round-off error and calculate an estimate of error in simple numerical formulae 7. Determine an optimum step size to minimize error in use of numerical methods for solving problems such as numerical integration, numerical differentiation, solving an ODE 8. Select and apply suitable numerical methods to solve chemical engineering problems 9. To write efficient, well-documented MATLAB code and present numerical results in an informative way 10. Apply the built-in functions in MATLAB to numerical solutions Pre-requisite(s) MAT 210 MIN DD or MAT 210E MIN DD or MAT 104 MIN DD or MAT 104E MIN DD Required Facilities Other Textbook Steven C. Chapra, Applied Numerical Methods with Matlab for Engineers and Scientist, 4th ed., McGraw Hill, 2017. Other References