CHEE 3321 (Required) Analytical Methods for Chemical Engineers

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1 CHEE 3321 (Required) Analytical Methods for Chemical Engineers Catalog Data: Cr. 3. (3-0). Prerequisites: MATH 2433 or equivalent with consent of instructor. Linear algebra, analytical methods for solving ordinary and partial differential equations of importance in chemical engineering, mathematical model concepts Instructor: Professor Michael P. Harold S Logistics: Time: 11:30 1:00 PM, Tuesday & Thursday; Engineering D3/E223 Office hours: To be determined/announced Lecture dates: o January (4) 18, 20, 25, 27 o February (8) 1, 3 *, 8, 10, 15, 17, 22, 24 o March (8) 1, 3, 8, 10, 22 *, 24 *, 29 *, 31 o April (8) 5, 7, 12, 14, 19, 21, 26, *Lectures will not occur and will be made up. Proposed make-up dates on Fridays Feb. 4, March 25, April 1 Help sessions: Friday afternoons likely (exact time & place to be announced) Textbook: Kreyszig, Erwin, Advanced Engineering Mathematics, 9 th edition, John Wiley & Sons, Boca Raton, (ISBN-13: ). References: Ince, E.L. Ordinary Differential Equations, Dover, New York, (suggested) Loney, Norman W., Applied Mathematical Methods for Chemical Engineers, 2 nd edition, CRC Press Taylor & Francis Group, Boca Raton, (ISBN-13: ). Schaum's Outline of Differential Equations, 3rd edition Varma, A. and M. Morbidelli, Mathematical Methods in Chemical Engineering, Oxford University Press, New York, TAs: Richa Raj richa.iitd@gmail.com Priyank Maheshwari priyank239@gmail.com Evaluation: The grade will be determined by 1. Homeworks 15% 2. Quizzes (2) 20% 3. Exams (2) 15% (E1); 20% (E2) 4. Final 30%

2 Quiz/Exam Schedule: Quizzes: Unannounced E1. Friday, February PM E2. Friday, April PM Final: TBD Expected Student Outcomes 1. Students will demonstrate an understanding of representing an engineering system in terms of a basic mathematical model, and of the types of equations typically encountered in chemical engineering. (e) 1 2. Students will demonstrate the ability to solve linear ordinary differential equations applied to systems of interest to chemical engineers. (a) 3. Students will demonstrate a mastery of linear algebra especially as it relates to solving problems of interest to chemical engineering. (a) 4. Students will demonstrate the ability to solve simple linear partial differential equations by the method of separation of variables and Laplace transforms. (a) Course Comments: Attendance in the course is highly recommended, if not expected Quizzes will not be announced; they will be minutes in length The Academic Honesty policy of UH will be strictly enforced (see attached) Homework o is a small part of the overall grade, but is essential for learning course material; o should be done independently, although group work is not discouraged for tough problems; o that involves a direct reproduction of another s work is a violation of the honor code; o will be issued about once per week; o should be legible & stapled, and have pages numbered; o should be turned in on-time at beginning of lecture on due date; o if late HW will lose 30% value per day. Exams will have closed- and open-book parts Selected course notes will be placed on blackboard.com Key semester dates; see the website: o Last day to drop a course or withdraw without receiving a grade, 12 th class day: February 1, 2010 (5 pm). o Last day to drop a course with a W : April 6, 2010 Prepared by: Michael P. Harold, Professor, January, , S325 Engineering Building 1, mharold@uh.edu

3 1 Lowercase letters in parentheses refer to ABET outcomes under Criterion 3. COURSE OUTLINE TOPIC READING 1. Introductory concepts (1 lecture) Ch. 1 Introduction 1.1 Modeling method Rate laws and differential equations (reaction rates, flux laws, etc.) Conservation equations Example mathematical models in chemical engineering 2. First-order differential equations (5 lectures) Ch. 1,4 Introduction to differential equations, terminology 1.1 Separable first-order ode s 1.3 Exact differential equations and integrating factors 1.4 Linear and nonlinear first-order equations 1.5 Coupled first order equations 4.1 i. First-order chemical reaction in a batch reactor ii. Cooling of a hot object iii. Dilution of a salt solution in a stirred tank iv. Consecutive reaction system in a batch reactor v. Autocatalytic reaction in a batch reactor 3. Linear algebra (5 lectures) Ch. 7, a. Matrices and vectors, basic algebra and properties 7.1, 7.2 b. Square matrices, inverse, determinants 7.7, 7.8 c. Vectors, linear dependence and independence, rank 7.4, 7.9 d. Solutions of linear algebraic equations 7.3 e. Eigenvalues, eigenvectors, orthogonal and biorthogonal expansions 8.1, 8.2 f. ChE applications of vectors and matrices i. Dimensional analysis ii. Stoichiometry of multiple reaction systems and independent reactions Second-order differential equations (7 lectures) Ch. 2, 4, 5 Introductory concepts 2.1 Linear homogeneous 2 nd order ode s with constant coefficients 2.2, 2.4 nd Special cases: selected non-homogeneous & nonlinear 2 order ode s nd Linear nonhomogeneous 2 order ode s 2.7, 2.8 Variable coefficients, series solutions 5.1, 5.4, 5.5, 5.6 Linear boundary value problems i. Radial heat flow through a cylinder

4 ii. Dynamics of a manometer 2.4 iii. Reaction and diffusion in a catalyst pellet iv. First-order reaction in a tubular reactor v. Heat transfer in a radial fin heat exchanger 4. Laplace transforms (5 lectures) Ch. 6 Basic properties of the Laplace transform and its inverse 6.1 Solution of initial value problems using Laplace Transform 6.2 i. Gravity flow in a single tank and two tanks ii. Proportional control of a first-order system 5. Introduction to Partial differential equations (5 lectures) Ch. 12 Introductory concepts 12.1 Solution methods using Laplace transforms Solution method using separation of variables 12.3, 12.5 i. Heat conduction in a semi-infinite slab ii. Unsteady conduction/diffusion in one dimension iii. Steady-state heat conduction in two-dimensions

5 Appendix ABET Outcome, Criterion 3 (a) an ability to apply knowledge of mathematics, science and engineering. (b) an ability to design and conduct experiments as well as to analyze and interpret data. (c) an ability to design a system, component, or process to meet desired needs within realistic constraints such as economic, environmental, social, political, ethical, health & safety, manufacturability, and sustainability. (d) an ability to function on multi-disciplinary teams. (e) an ability to identify, formulate and solve engineering problems. (f) an understanding of professional and ethical responsibility. (g) an ability to communicate effectively. (h) the broad education necessary to understand the impact of engineering solutions in a global, economic, environmental, and societal context. (i) a recognition of the need for and an ability to engage in lifelong learning. (j) a knowledge of contemporary issues. (k) an ability to use the techniques, skills, and modern engineering tools necessary for engineering practice. Program-Specific Outcomes Use chemistry and physics concepts to set up and solve chemical engineering problems Use mathematical tools to solve chemical engineering problems Select appropriate experimental equipment and techniques necessary to solve a given problem Evaluate and interpret experimental results using statistical tools and chemical engineering concepts Apply material and energy balance concepts to design a unit operation Define objectives and perform the design of an integrated chemical process under realistic constraints Define roles and responsibilities to align with capabilities of team members and fulfill project requirements Develop and carry out a project plan through team work Translate an engineering problem into a mathematical model or other suitable abstraction Use mathematical model or other suitable abstraction to solve an engineering problem and interpret results Demonstrate knowledge of professional code of ethics. Identify ethical issues and make decisions for a chemical engineering problem. Make presentations that are factual and tailored to the audience Can communicate in writing to non-technical and technical audiences Understand the impact of chemical engineering solutions in a global, economic, environmental, and societal context. Recognize the importance of advanced education and development opportunities Identify, retrieve, and organize information necessary to solve open-ended problems Know the interplay between current technical and societal issues Know the recent history, current status, and future trends of chemical engineering Use modern software to solve chemical engineering problems Understand how to operate equipment relevant to chemical engineering systems

MATH 251 Ordinary and Partial Differential Equations Summer Semester 2017 Syllabus

MATH 251 Ordinary and Partial Differential Equations Summer Semester 2017 Syllabus Course Description: Ordinary and Partial Differential Equations. First and second order equations; series solutions; Laplace