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Chem E-106 - asdjkcsdnfjksdnfj
Elementary Chemical Engineering (University of the Philippines System)
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lOMoARcPSD|41222238
18 APR 2018 CC/ 28 MAY 2018 UC
DEPARTMENT OF CHEMICAL ENGINEERING
College of Engineering
University of the Philippines Diliman, Quezon City
COURSE SYLLABUS
ChemE 106 Mathematical Methods in Chemical Engineering II
A. Course Catalogue Description
1. Course Number: ChemE 106
2. Course Title: Mathematical Methods in Chemical Engineering II
3. Course Description: Analytical and numerical solutions of ordinary differential equations;
introduction to partial differential equations; applications in chemical
engineering
4. Prerequisite: ChemE 105 Mathematical Methods in Chemical Engineering I
5. Corequisite: Math 23 Elementary Analysis III
6. Semester Offered: First Semester
7. Course Credit: 3u
8. Number of Hours: 2h lec, 3h lab
9. Meeting Type: lecture, laboratory
10. Course Goals: To introduce analytical or numerical solutions to ordinary and partial
differential equations
B. Rationale
This course provides the essential topics to solving ordinary differential equations (ODEs) and
partial differential equations (PDEs) that are derived from the analysis of various systems in
chemical engineering, such as unsteady heat conduction, reactor performance, etc.
C. Course Outline
1. Course Outcomes (CO)
Upon completion of the course, students must be able to:
CO 1. solve initial value and boundary value problems involving ordinary differential
equations analytically;
CO 2. discuss the different forms of ordinary and partial differential equations, as
encountered in modeling physical phenomena; and
CO 3. calculate the approximate solutions of ordinary and partial differential equations
using computer-aided numerical methods.
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lOMoARcPSD|41222238
18 APR 2018 CC/ 28 MAY 2018 UC
Course Outcomes and Relationship to Program Learning Objectives
Program Learning Objectives*
Course Outcomes
A B C D E
Solve initial value and boundary value problems
involving ordinary differential equations analytically
Discuss the different forms of ordinary and partial
differential equations, as encountered in modeling
physical phenomena
Calculate the approximate solutions of ordinary and
partial differential equations using computer-aided
numerical methods
* A Equip students with strong technical education in chemical engineering necessary to succeed in
their chosen careers and to become responsive citizens.
B Develop the students’ ability to effectively communicate technical information to any audience.
C Train students to function in multidisciplinary teams, manage projects, and take leadership roles in
their respective fields.
D Engage students in research, innovation, and life-long learning to identify opportunities, and
address issues and challenges in their respective spheres of influence.
E Instill in students a strong commitment to the ethical practice of their profession; to health, safety,
and environment; and to service to society.
2. Course Content
Lecture Topics No. of Hours
Lec Lab
Analytical solution of basic ordinary differential equations 8 12
1. First order differential equations
a. Variable separable differential equations
b. Exact differential equations
c. Solution using integrating factors
2. Special higher-order differential equations
3. Applications in chemical engineering
Long Examination 1
Analytical solution of linear ordinary differential equations 6 9
1. Higher-order linear differential equations with constant coefficients
2. Systems of linear differential equations with constant coefficients
3. Applications in chemical engineering
Long Examination 2
Numerical solutions to initial value problems 4 6
1. Single ordinary differential equation
2. Systems of ordinary differential equation
3. Applications in chemical engineering
Numerical solutions to boundary value problems 4 6
1. Single ordinary differential equation
2. Systems of ordinary differential equation
3. Applications in chemical engineering
Machine Problem 1
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lOMoARcPSD|41222238
18 APR 2018 CC/ 28 MAY 2018 UC
Lecture Topics No. of Hours
Lec Lab
Introduction to partial differential equations 10 15
1. Introduction
2. Classification of partial differential equations
3. Numerical solution via finite difference method
4. Applications in chemical engineering
Machine Problem 2
Total number of hours 32 48
3. Course Coverage
Suggested
ESSENTIAL/ Suggested
Week CO TOPIC Teaching and
KEY QUESTIONS Assessment Tools
Learning Activities
1-4 1,2 Analytical solution of What is an ordinary lecture, classwork problem sets
basic ordinary differential equation?
differential equations How can an ordinary
1. First order differential differential equation be
equations derived from a mass and
a. Variable separable energy balance
differential problem?
equations
b. Exact differential
equations
c. Solution using
integrating factors
2. Special higher-order
differential equations
3. Applications in
chemical engineering
Long Examination 1
5-7 1,2 Analytical solution of How do you use the lecture, classwork problem sets
linear ordinary method of variable
differential equations parameters or the
1. Higher-order linear method of undetermined
differential equations coefficients? How do you
with constant solve systems of ordinary
coefficients differential equations?
2. Systems of linear
differential equations
with constant
coefficients
3. Applications in
chemical engineering
Long Examination 2
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lOMoARcPSD|41222238
18 APR 2018 CC/ 28 MAY 2018 UC
Suggested
ESSENTIAL/ Suggested
Week CO TOPIC Teaching and
KEY QUESTIONS Assessment Tools
Learning Activities
8-9 3 Numerical solutions to How do you set-up the lecture, classwork machine exercise
initial value problems numerical calculations
1. Single ordinary for ordinary differential
differential equation equations with initial
2. Systems of ordinary value conditions? What
differential equation are the limitations of
3. Applications in these methods?
chemical engineering
10-11 3 Numerical solutions to How do you set-up the lecture, classwork machine exercise
boundary value numerical calculations
problems for ordinary differential
1. Single ordinary equations with boundary
differential equation value conditions? What
2. Systems of ordinary are the limitations of
differential equation these methods?
3. Applications in
chemical engineering
Machine Problem 1
12-16 3 Introduction to partial What are partial lecture, classwork machine exercise
differential equations differential equations?
1. Introduction How can partial
2. Classification of partial differential equations be
differential equations derived from a mass and
3. Numerical solution via energy balance
finite difference problem?
method
4. Applications in
chemical engineering
Machine Problem 2
4. Course Requirements
1. Long examinations (2)
2. Machine problems (2)
3. Problem sets
4. Machine exercises
REFERENCES:
Chapra, S. C. and Canale, R. P. (2015). Numerical Methods for Engineers 7th Ed. NY: McGraw-Hill
Education.
Kreyszig, E. O. (2011). Advanced Engineering Mathematics 10th Ed. NJ: John Wiley & Sons, Inc.
Rainville, Earl D. and Bedient, Phillip E. (2017). Elementary Differential Equations 11th Ed. NJ:
John Wiley and Sons Inc.
Rice, R. G. and Do, D. D. (2012). Applied Mathematics and Modeling for Chemical Engineers 2nd
Ed. NJ: John Wiley & Sons, Inc.
Villa, R. P. (2014). Developing a predictive model for determining the mechanical properties of CFB
fly ash thermoset composite (Master’s thesis). University of the Philippines Diliman.
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