> AC@ bjbj A,ll$iRLffffA;L($m!XAAff#vfff@'>%90i,!!&!Di!l : ChE 6100 Applied Chemical Engineering Calculations (Fall 2018)
Class Number: 5995 (Section 100)
Time and Place: TuTh 9:00 10:20 am, ARC 146
Instructor: Tingyue Gu
TA: TBD
Office: Stocker 167B, Office Phone: 593-1499, gu@ohio.edu
Office Hours: Just drop in.
Required textbooks (Get it before classes begin!)
Advanced engineering mathematics, 2nd edition. M. D. Greenberg, Prentice Hall, Upper Saddle River, 1998. (p. 1282 gives answers to some homework problems. International edition has different page numbers, but the contents are identical.)
Reference textbooks (not essential):
1. Numerical methods for engineers with software programming applications, 4th edition (or higher), S. C. Chapra and R. P. Canale, McGraw-Hill, NY, 2001.
2. Applied numerical methods for engineers and scientists, S. S. Rao, Prentice Hall, Upper Saddle River, 2002.
3. Mathematical methods in chemical engineering, V.G. Jenson and G.V. Jeffreys, Academic Press, NY, 1963.
4. Nonlinear analysis in chemical engineering, Bruce A. Finlayson, McGraw-Hill, NY, 1980.
5. Advanced engineering mathematics, 8th Edition (or higher), E. Kreyszig, Wiley, NY, 1999.
This graduate core course will cover analytical methods and numerical methods for engineering problems. Apart from formulating mathematical equations for specific chemical engineering problems, we will emphasize on solutions to algebraic, ordinary and partial differential equation systems. MATLAB programming is required. View your grades online on Blackboard at HYPERLINK "https://blackboard.ohiou.edu/" https://blackboard.ohiou.edu/. Course materials are posted at HYPERLINK "http://cheserver.ent.ohiou.edu/ChE6100"http://cheserver.ent.ohiou.edu/ChE6100.
The intended learning outcomes or objectives upon successful completion of the class:
Students are expected to be able to do the following in their future course work and research: Solve linear algebraic equations, ODEs, PDEs analytically, solve linear and nonlinear algebraic equations, ODEs, PDEs numerically using a variety of methods, and perform optimization and multiple linear regression using software tools.
The following topics will be covered:
Weeks 1 - 2
ODE solutions (integrating factors, LD/LI, homogeneous ODE with constant coefficients, higher order ODEs, Cauchy-Euler Eq.)
Weeks 2 - 4
Nonhomogenous ODE, ODE systems, power series, gamma function, Bessel equation.
Week 5
Bessel equation. Matrix theory (transpose, determinant, rank, inverse matrix, Cramers rule, LU-factorization, eigenvalue, diagonalization)
Week 6
Matrix theory.
Weeks 7- 8
Differential calculus (chain rule, Taylor series), PDE solutions (classification, separation of variables, combination of variables).
Week 8
PDE solutions. Midterm.
Weeks 9 - 10
Numerical solutions to ODE IVP (Runge-Kutta method, etc.). Excels Goal Seek and Solver for nonlinear equation systems.
Weeks 11
Optimization tools. MATLABs fsolve and solve. ODE BVP.
Weeks 12 - 13
MATLABs pdepe solver. Finite Difference for PDE. MATLABs pdetool (finite element).
Weeks 13 - 14
MATLABs pdepe and pdetool for transport phenomena problems.
Grades:
Your course grade will be based on 15% homework + 10% projects + 5% quizzes + 35% midterm + 35% final exam. Typically 91% or above will get A, and 81% B, 71% C, and 61% D. There will be roughly seven homework/project assignments. Late submissions will be discounted at 1% per hour with a 10% minimum. Skipping a homework assignment will result in a grade of F. Your homework answer sheets must be stapled in the assigned sequence; otherwise, misplaced solutions may not be graded. You should staple only the upper left corner and the staple must not cover any of your writings. It is required that you provide reasonable details when solving a problem. No details no credits. Your homework solutions must be neat and well organized as if you were to submit an informal report. Discussions on homework assignments are allowed, but plagiarism is strictly prohibited according to relevant OU regulations. Plagiarism may result in a course grade of F. University Judiciaries may impose additional sanctions. For more information please check out the section entitled "Academic Misconduct" in the HYPERLINK "http://www.ohio.edu/judiciaries/academic-misconduct.cfm" \l "academic" Ohio University Student Handbook. Students may appeal academic sanctions through the grade appeal process.
Attendance Policy
You may occasionally miss classes for good reasons but it is your responsibility to catch up. Showing up habitually late for classes is considered a disruption to teaching. Excuses for missing a test must be accepted before it happens.
Graduate school can be a stressful time, and many things can prevent you from performing at your best, including strained relationships, increased anxiety, alcohol/drug problems, feeling down, difficulty concentrating and/or lack of motivation. If you find yourself dealing with these or other issues that affect your mental health or academic performance, Ohio University offers services that can help. Counseling and Psychological Services provides drop-in counseling hours at Hudson Hall (3rd floor) from 9:45-3:15 Monday-Friday, as well as Counselor-in-Residence hours Sunday-Friday from 5-10 pm in Living Learning Center, Room 160. Services are free to students with guaranteed tuition or the Wellbeing Plan. If you need immediate assistance, you may call (740) 593-1616 24 hours per day, 7 days a week. For additional resources, visit HYPERLINK "http://www.ohio.edu/counseling" www.ohio.edu/counseling.
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