Teaching Advanced Engineering Mathematics to  Graduate Students: Lessons Learned

Kendrick T. Aung

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Conference: 2011 ASEE Annual Conference & Exposition
Location: Vancouver, BC
Publication Date: June 26, 2011
Start Date: June 26, 2011
End Date: June 29, 2011
ISSN: 2153-5965
Conference Session: Students' Abilities and Attitudes
Tagged Division: Mathematics
Page Count: 12
Page Numbers: 22.1371.1 - 22.1371.12
DOI: 10.18260/1-2--18844
Permanent URL: https://peer.asee.org/18844
Download Count: 1500

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Kendrick T. Aung Lamar University

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Dr. Kendrick Aung is an Associate Professor in the Department of Mechanical Engineering at Lamar University. He received his Ph.D. degree in Aerospace Engineering from the University of Michigan in 1996. He has published over 80 technical papers and presented them in numerous national and international conferences.

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Abstract

Teaching Advanced Engineering Mathematics to Graduate Students: Lessons LearnedAbstract Advanced engineering mathematics, sometimes known as advanced engineeringanalysis, is a required course in many graduate engineering programs as it providescoverage of topics of mathematics required to succeed in the graduate study of anyengineering discipline. The author has been teaching a core engineering mathematicsclass to incoming first year graduate students in mechanical engineering since 2003. Advances in mathematical soft ware and tools make teaching the classchallenging as traditional methods of teaching engineering mathematics may not beappropriate when use of mathematics software is prevalent. In addition, teachingengineering students how to apply mathematical principles and models in relevantsubjects of engineering is a necessity for this kind of class. The class covers a wide range of subjects but the major emphasis is on partialdifferential equations and their solutions. Other topics include vector calculus, vectorintegral theorems, numerical solutions of ordinary and partial differential equations,statistics and probability. The class is a required class for all mechanical engineeringchoosing non-thesis option in their Masters’ degree program. In addition, students fromother engineering disciplines can also take the class to fulfill their core mathematicsrequirement. There are several papers dealing with teaching engineering mathematics butthey typically apply to undergraduate students [1-3]. This paper discusses andsummarizes the lessons learned from teaching the class for many years. The experienceand lessons learned can be beneficial to other faculty members teaching similar classes tograduate students.References[1] Klingbeil, N.W., Mercer, R.E., Rattan, K.S., Raymer, M.L. and Reynolds, D.B , ”TheWSU Model for Engineering Mathematics Education,” Proceedings of the 2005American Society for Engineering Education Annual Conference & Exposition, 2005.[2] Kauffmann, P. and Bosse, M., “An Examination of Engineering MathematicsCourses,” Proceedings of the 2007 American Society for Engineering Education AnnualConference & Exposition, 2007.[3] Palmquist, S., “Using engineering mathematics to learn Structural analysis,”Proceedings of the 2007 American Society for Engineering Education AnnualConference & Exposition, 2007.

Citation
Format

Aung, K. T. (2011, June), Teaching Advanced Engineering Mathematics to Graduate Students: Lessons Learned Paper presented at 2011 ASEE Annual Conference & Exposition, Vancouver, BC. 10.18260/1-2--18844

TY  - CPAPER
AB  -               Teaching Advanced Engineering Mathematics to                   Graduate Students: Lessons LearnedAbstract         Advanced engineering mathematics, sometimes known as advanced engineeringanalysis, is a required course in many graduate engineering programs as it providescoverage of topics of mathematics required to succeed in the graduate study of anyengineering discipline. The author has been teaching a core engineering mathematicsclass to incoming first year graduate students in mechanical engineering since 2003.         Advances in mathematical soft ware and tools make teaching the classchallenging as traditional methods of teaching engineering mathematics may not beappropriate when use of mathematics software is prevalent. In addition, teachingengineering students how to apply mathematical principles and models in relevantsubjects of engineering is a necessity for this kind of class.         The class covers a wide range of subjects but the major emphasis is on partialdifferential equations and their solutions. Other topics include vector calculus, vectorintegral theorems, numerical solutions of ordinary and partial differential equations,statistics and probability. The class is a required class for all mechanical engineeringchoosing non-thesis option in their Masters’ degree program. In addition, students fromother engineering disciplines can also take the class to fulfill their core mathematicsrequirement. There are several papers dealing with teaching engineering mathematics butthey typically apply to undergraduate students [1-3]. This paper discusses andsummarizes the lessons learned from teaching the class for many years. The experienceand lessons learned can be beneficial to other faculty members teaching similar classes tograduate students.References[1] Klingbeil, N.W., Mercer, R.E., Rattan, K.S., Raymer, M.L. and Reynolds, D.B , ”TheWSU Model for Engineering Mathematics Education,” Proceedings of the 2005American Society for Engineering Education Annual Conference &amp; Exposition, 2005.[2] Kauffmann, P. and Bosse, M., “An Examination of Engineering MathematicsCourses,” Proceedings of the 2007 American Society for Engineering Education AnnualConference &amp; Exposition, 2007.[3] Palmquist, S., “Using engineering mathematics to learn Structural analysis,”Proceedings of the 2007 American Society for Engineering Education AnnualConference &amp; Exposition, 2007.
AU  - Kendrick T. Aung
CY  - Vancouver, BC
DA  - 2011/06/26
PB  - ASEE Conferences
TI  - Teaching Advanced Engineering Mathematics to  Graduate Students: Lessons Learned
UR  - https://peer.asee.org/18844
DO  - 10.18260/1-2--18844
ER  -