Mathematical Methods for Chemical and Environmental Engineering
| Code | School | Level | Credits | Semesters |
| CHEE1045 | Chemical & Environmental Engineering | 1 | 20 | Full Year Malaysia |
- Code
- CHEE1045
- School
- Chemical & Environmental Engineering
- Level
- 1
- Credits
- 20
- Semesters
- Full Year Malaysia
Summary
This module introduces key mathematical tool for analysis of linear mathematical and engineering problems. The complexity of solving general (large) systems of equations is introduced and their study using matrix techniques. The calculus of a single variable is reviewed and extended to develop techniques used in the analysis of engineering problems:
• Matrix algebra and its applications to systems of equations and eigenvalue problems
• Functions and their properties
• Advanced differential and integral calculus of one variable
• Advanced differential calculus and vectors for modelling of generic engineering situations given in terms of multi-dimensional models
• Mathematical techniques in solving selected first-order differential equations relevant to the analysis of generic engineering problems
• Vector analysis that focuses on the gradient of a scalar function and the rate of change of a vector function. In addition, this module also introduces basics of coding and structured programming which are required to solve chemical engineering problems. Examples of application of mathematical methods in solving chemical engineering problems in material and energy balances, fluid mechanics, particle mechanics and chemical engineering thermodynamics will be covered.
Target Students
MEng in Department of Chemical and Environmental Engineering
Classes
- One 3-hour workshop each week for 3 weeks
- One 1-hour tutorial each week for 21 weeks
- One 2-hour lecture each week for 21 weeks
Assessment
- 20% Coursework: 2-week Programming
- 25% In-class Test 1: 1-hour written examination
- 10% In-class Test 2: 2-hour written examination
- 45% Final Exam (2-hour): 2-hour written examination
Educational Aims
To equip students with competence in a range of fundamental elementary mathematical techniques used in the analysis of chemical engineering problems.Learning Outcomes
Knowledge and understanding of mathematics necessary to support application of key engineering principles. To apply mathematical methods, tools and notations proficiently in the analysis and solution of engineering problems. On successful completion of this module students will be able to:
LO1: Apply matrix algebra techniques to analyse efficiently and solve systems of equations and algebraic eigenvalue problems.
LO2: Identify properties and characteristics of standard mathematical functions used in engineering and their differential and integral evaluation and features.
LO3: Use extended techniques of differential and integral calculus to solve problems.
L04: Develop an appreciation of vector algebra and to apply this to practical problems in geometry and engineering
L05: Understand the notion of a partial derivative and to apply this knowledge to consolidate the calculus of functions of two or more variables, with applications
L06: Classify and solve a range of standard-type first ordinary differential equations
L07: Understand and use vector differential operators
LO8: Apply mathematical methods to solve chemical engineering problems
LO9: Apply programming function in solving chemical engineering problems
LO10: Write programming script and coding for solving chemical engineering problems
UK POs
A1.2.1 Have a knowledge and understanding of mathematics necessary for the analysis of and to support applications of key chemical engineering principles and processes.
A1.2.2 Have a knowledge and understanding of basic mathematical models relevant to chemical engineering.
A2.3.1 Be familiar with, and able to apply, a range of appropriate tools such as dimensional analysis and mathematical modelling.
A2.3.2 Understand the role of empirical correlation and other approximate methods.
A2.3.3 Be competent in the use of numerical and computer methods, including industry-standard chemical engineering software, for solving chemical engineering problems (detailed knowledge of computer coding is not required).
EAC POs
PO1 - Engineering Knowledge - Apply knowledge of mathematics, natural science, chemical engineering fundamentals and chemical engineering specialisation as specified in WK1 to WK4 respectively to the solution of complex engineering problems.
Conveners
- Dr Chien Hwa Chong
- Dr Ching Lik Hii
- Prof Chung Lim Law