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Unformatted text preview: CHBE2120: Numerical Methods in Chemical Engineering Spring Semester, 2011 Instructor: Prof. Mark Styczynski Course objectives: 1. To learn a range of numerical methods for the approximate solution of mathematical equations encountered in chemical engineering. 2. To understand the shortcomings of these numerical methods, how to deal with these shortcomings, and how to choose the appropriate method for solving a given problem. 3. To use MATLAB and HYSYS to implement these methods and apply them to a variety of chemical engineering problems. Learning outcomes: By the end of this course, a student should be able to: 1. Formulate a chemical engineering problem as a mathematical model, and select an appropriate solution method. 2. Analyze the accuracy of the numerical solution and identify alternate strategies and methods to achieve greater accuracy when it is needed. 3. Understand the computational requirements of various solution options and use this understanding in the selection of the solution method 4. Select the appropriate soft ware package to perform the numerical solution to a chemical engineering problem. 5. Design experiments using statistical methods, for the purpose of building models and designing chemical processes. 6. Formulate and solve process design problems, based on econo mic analysis and using mathematical models of chemical processes Text: Chapra SC and Canale RP. “Numerical Methods for Engineers”, sixth edition, McGraw-Hill, 2009. Prerequisites: CHBE 2100, CS 1371 Class website: https://t-square.gatech.edu/portal/site/23146.201102 Class time and location: Tuesdays and Thursdays, 8:05 AM – 9:25 AM, room L1205 in ES&T (Class may occasionally be held in the ChBE computer lab, L2232 ES&T) Instructor: Prof. Mark Styczynski Email: Mark.Styczynski@chbe.gatech.edu Office: L1222, ES&T Phone: 404-894-2825 Teaching assistants: Khaldoon Abu-Hakmeh Email: firstname.lastname@example.org Nita Chandrasekhar Email: email@example.com Office hours: TAs: TBD (see T-Square for final days/times); in ChBE computer lab (ES&T L2232) Prof. Styczynski: TBD (see T-Square for final days/times); ES&T L1222 Open Door Policy: If you have any questions or want to talk about anything, please stop by my office. My door is almost always open when I’m there, and I’m happy to help and to answer your questions. However, the very rare times when I am there and my door is closed, please make sure that your matter is urgent before deciding to knock on my door. If it is, I’m happy to help; if it’s not, I won’t be as happy. Grading: Exam 1: 20% Quizzes: Exam 2: 20% Homework: Final exam: 25% Project: Participation: up to 2 % extra 10% 15% 10% Participation is strongly encouraged, and essentially amounts to extra credit in this class. It is likely to help your learning, it helps others’ learning, and it will help your grade. Participation is defined as answering and asking questions in class, and answering questions in the online forums. Grade Scale: You can use the following grade intervals to identify the minimum letter grade you will receive based on your performance in this class: Numerical Grade Letter Grade [85, 100] A [75, 85) B [65, 75) C [55, 65) D [0, 55) F Quizzes: At least five quizzes will be given during class. The two lowest scores will be dropped in computing the overall quiz grade. The quiz dates will not be announced ahead of time. If you need to miss class for any reason and you miss a quiz, then you will receive a zero for that quiz. Exams: Two exams will be given in addition to the final exam. All exams will be closed book and closed notes. For each exam, you will be allowed to bring one single 8.5” x 11” piece of paper with formulas or any other information you deem to be important written on one side only . Exams 1 and 2 will be held on the following dates: Exam 1: Thursday, February 10 Exam 2: Thursday, March 31 If you have any conflicts with these exam dates, you must contact Prof. Styczynski in writing by the end of the second week of class to resolve this conflict. Project: A group project will be assigned mid-semester. The project will be completed in teams and will involve combining numerical methods to solve a complex engineering problem. Exact due dates and details will be supplied at the time it is assigned, but the expected due date is listed in the calendar in this syllabus. Group assignments will be made when the project assignment is handed out. Homework: Homework assignments are to be submitted electronically via T-Square. Deadlines for turning in homework will be rigidly enforced, to the minute. Late homework will receive a grade of zero. You should always check your uploaded files to make sure you submitted the right file and that it uploaded correctly. Failure to do this is not grounds for a resubmission or deadline extension. Also, you will always be able to re-submit your assignment multiple times, so feel free to submit early versions and re-submit revised ones so that you don’t wait until the deadline and then forget to submit. MATLAB code must be thoroughly commented. Use indentation within loops and other control structures (“for”, “if”, “while”, etc.). In all assignments, you must clearly explain your work and the steps taken to obtain the answer, either as comments within the Matlab file, or in a separate document. If a problem requires you to generate plots or figures, you must submit a separate document containing those figures and answers to any questions regarding those figures. These documents should be submitted as Word or PDF files. All homework turned in must be your own work. You may discuss technical concepts relating to the homework with your classmates, but must work the problems and write the code by yourself. For example, you can help troubleshoot someone else’s bugs, get help with your bugs, and discuss how you need to set up a loop or program with a classmate. One the other hand, do not take some else’s electronic file and change their name to your name. Do not just type in somebody else’s code copied off of their screen or a printed out paper. Copying from another person’s homework is a serious violation of the Georgia Tech Honor Code (http://www.honor.gatech.edu). Optional Homework Exercises: At the end of each homework assignment will be additional, optional homework exercises. These exercises will typically be handwritten exercises, not MATLAB exercises. These exercises are closer to the types of tasks you will be required to do on exams than your MATLAB assignments. This makes them useful for studying for exams. Additionally, you can regain lost credit from quizzes by doing these exercises. If you complete three sets of optional exercises in their entirety, your lowest quiz grade will be replaced by your highest quiz grade. If you do three optional homework assignments where you complete at least half but not all of the exercises, then your lowest quiz grade will be replaced by the average of your three best quiz grades. Either of these options can be repeated to replace your second-lowest quiz grade as well. If you do not have a complete set of three assignments to replace one of your quiz grades, then that quiz grade can be replaced by one or two thirds of your best grade (or average of three, as appropriate) if you have done one or two optional assignments, respectively. Please note that credit will not be given for merely writing the answers to the optional exercises. You must write out your work in reaching the solution. Incomplete solutions will not receive credit. Forums: On T-Square, the “Forums” feature has been activated. Questions regarding specific issues in the homework assignments should be posted here rather than emailed directly to the professor or the TAs . This helps your classmates see what problems others are experiencing and will hopefully make them more successful in doing their homework. The ultimate goal of using these forums is that everyone can learn more from the failures and successes of others by sharing. Forum posts will not be responded to by the professor or TAs for 24 hours. Those first 24 hours are for other students to respond to questions. Answering questions and helping others reinforces your learning by solidifying concepts. Please note that helpful responses to messages posted on the forums will count towards “Participation” (see Grading section). Regrades: Requests for regrading of a homework assignment or an exam may be submitted in writing within one week of the day the assignment/exam is handed back to the class (regardless of whether or not you attend class that day). You must justify in writing the technical basis for the regrade request. The entire homework or exam will be regraded, meaning your grade may go up or down. Honor Code: All work done in the class, including quizzes, exams, projects, and homework assignments, is done under the Georgia Tech Honor Code (http://www.honor.gatech.edu). Students are expected to follow the policies outlined in the Georgia Institute of Technology Academic Honor Code. Infractions will receive a zero for the assignment and will be reported to the Dean of Students for disciplinary action. Tips for Success: - Do the assigned reading before class, not just the night before the exam. - Do not be afraid to ask questions. - Do t ake homework assignments seriously. They confirm that you understand key concepts and may even introduce variations on those concepts. - Do not fall behind. Later topics depend heavily on earlier topics. - Do attempt some extra problems --- even if not for credit, at least before the exam so that you have experience doing problems by hand. Class Schedule: The schedule listed on the following page is subject to change. Changes will be reflected on the version of this syllabus that is posted on the course T-Square site. Date 1/11 1/13 1/18 1/20 1/25 1/27 2/1 2/3 2/8 2/10 2/15 2/17 2/22 2/24 3/1 3/3 3/8 3/10 3/15 3/17 3/22 3/24 3/29 3/31 4/5 4/7 4/12 4/14 4/19 4/21 4/26 4/28 Topic Intro/Linear equations Linear equations Linear equations Linear equations Initial value problems Initial value problems Initial value problems Initial value problems/Finite difference approximations HYSYS Exam 1 HYSYS Nonlinear equations Nonlinear equations Nonlinear equations/ Optimization Optimization Optimization Boundary value problems Economics and equipment Economics and equipment Economics and equipment No class No class Statistics Exam 2 Statistics Statistics Statistics/Curve Fitting Curve fitting and regression Curve fitting and regression/Integration Integration Reading PT 1 Chapters 9,10 Comments HW 1 Due 1/14 HW 2 Due 1/21 PT 7, Chapter 25 Chapter 26 Chapter 4 HW 3 Due 1/28 HW 4 Due 2/4 Exam 1 Chapters 5,6 Chapters 13, 14 HW 5 Due 2/18 HW 6 Due 2/25 HW 7 Due 3/4 Chapter 27 Handouts HW 8 Due 3/11 HW 9 Due 3/18 Spring Break Spring Break Handouts Exam 2 HW 10 Due 4/8 Chapters 17, 18 Chapter 21 Chapter 22 Chapters 23 HW 11 Due 4/15 Project & HW 12 Due 4/22 Integration/Design of experiments Handouts Design of experiments FINAL EXAM: Tuesday, May 3, 8:00 AM – 10:50 AM ...
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