Course Schedule and Catalog
Course Schedule - Spring Semester 2022
CHBE 305 001 (CRN: 20178)
APPLIED MATH FOR CHEM ENGS II
Long Title: APPLIED MATHEMATICS AND NUMERICAL METHODS FOR CHEMICAL ENGINEERS II
Department: Chemical & Biomolecular Engr
Instructor: Zygourakis, Kyriacos
Meeting: 10:00AM - 10:50AM MWF GRB W211 (10-JAN-2022 - 22-APR-2022)
Session: Full Term
Grade Mode: Standard Letter
Course Type: Lecture
Language of Instruction: Taught in English
Method of Instruction: Face to Face
Credit Hours: 3
Course Syllabus:
Course Materials: Rice Campus Store
Restrictions:
Must be enrolled in one of the following Level(s):
Undergraduate Professional
Visiting Undergraduate
Undergraduate
Prerequisites: CHBE 301 AND (CHBE 302 OR CHBE 303) AND MATH 211
Section Max Enrollment: 0 (permission required) Instructor Permission Required
Section Enrolled: 21
Enrollment data as of: 2-DEC-2023 7:19PM
Final Exam: No Final Exam
Final Exam Time:
27-APR-2022
2:00PM - 5:00PM W TBA TBA
Description: Computer arithmetic, round-off and truncation errors, conditioning. Curve fitting and least squares, nonlinear regression. Systems of nonlinear equations: Picard’s method. Newton-Raphson, continuation methods. Initial Value Problems: Euler’s methods (explicit and implicit); Higher-order Runge-Kutta methods; Adaptive Runge-Kutta methods; Systems of ordinary differential equations; Numerical stability; Stiff systems; Multistep methods. Dynamical Systems: Equilibrium points and their stability, periodic solutions, limit cycles. Boundary Value Problems: ODE and PDE boundary value problems, finite difference approximations, Dirichlet, Neumann and mixed boundary conditions, Poisson’s equation, coupled BVPs. Time-dependent PDEs: Method of lines, numerical stability. Case studies from reaction engineering, thermodynamics, heat and mass transfer and fluid mechanics.