|Program||Bachelor [학사과정]||Course Type||Major Required [ 전공필수 ]|
|Course Code||39.205||Course No||CBE205|
- Tue: 09:00~11:45
|Course Title||Chemical and Biomolecular Engineering Analysis [ 생화공해석 ]|
Tue: 09:00~10:30 / (W1-3)Dept. of Chemical & Biomolecular Engineering [ (W1-3)생명화학공학과 ] (2122)
Thu: 09:00~10:30 / (W1-3)Dept. of Chemical & Biomolecular Engineering [ (W1-3)생명화학공학과 ] (2122)
|Name||임성갑(Im, Sung Gap)|
|Department||생명화학공학과(Department of Chemical and Biomolecular Engineering)|
|Summary of Lecture||This class is an introductory course for basic mathematical analysis in various chemical engineering problems. Idealization of processes by differential balances are broadly applied to many chemical engineering problems, such as reaction kinetics in chemical reactors, reactant/product flow behavior in the process pipeline, heating/cooling of the system, separation/purification process of product mixture, and the control/optimization of the chemical engineering processes. For better understanding, proper assumptions with reasonable physical grounds simplify problems and allow insights for the analysis of chemical engineering problems. In this course, we introduce some basic mathematical skills to deal with process models. The course starts with classical methods for solving ordinary differential equations (ODE), followed by introducing how to deal with partial differential equations (PDE). We basically give emphasis to how to obtain analytical solutions of the chemical engineering problems. However, the approximation of an actual situation cannot always lead to analytical solutions and we deal with elementary numerical methods, too. We are trying to include various chemical engineering problems as many as possible in order for the students to understand why mathematical analysis is important in chemical engineering.|
|Material for Teaching|| - Main textbook: Advanced Engineering Mathematics by Dennis G. Zill & Warren S. Wright, 4th edition.
Applied Mathematics for Chemical Engineers (Wiley Series in Chemical Engineering) by Richard G. Rice and Duong D. Do
|Evaluation Criteria||Mid-term (30%), Final term (40%), Homework (20%), attendance (10%)|
|Lecture Schedule|| Ch 0. Introduction of the class
Ch 1. How to solve 1st order Ordinary differential equations (ODE): Linear vs Non-linear; Initial value problem (IVP);
Ch 2. Higher-order Differential Equations: Homogeneous vs non-homogeneous. Linear ODE: Initial value problem (IVP) vs Boundary value problem (BVP).
Ch 3. Series Solutions: Power series. Special functions: Bessel functions and Legendre Functions.
Ch 4. Sturm-Liouville Problem & Orthogonal functions. Fourier series.
Ch 5. How to solve Partial Differential Equations (PDE); Separation of Variables; Combination of Variables with exemplar PDE-BVP’s: heat equation, wave equation, and Laplace equation.
Ch 6. PDE's in Cylindrical and Spherical Coordinates; Fourier-Bessel and Fourier-Legendre functions
Ch 7. Laplace Transform (LT): LT & Inverse LT; How to solve ODE by use of LT. Integral Transform for PDE's: Laplace Transform
Ch. 8. Linear Algebra: Matrix, eigenvalue problem, Gauss elimination.
Ch 9. Numerical solutions: Euler Method; Runge-Kutta Method; Higher-order equations & systems
|Memo||Non-real -time distance class video clips (KLMS) will also be offered together with the off-line class.|