USERS & WEB LINKS: The following are some of the known websites that link to the HNMI website or/and use its resources.  Search engine websites and libraries are NOT included in the list as they are too many to list).

Educational Institutions

United States Military Academy:  The MATHEMATICA worksheets are used to demonstrate numerical methods.

University of Toronto:  The Calculus and Numerical Methods course uses the textbook notes of the website as the textbook for the numerical methods part of the course.

University of Minnesota: In their course Intro to Matrix Algebra, the e-textbook Introduction to Matrix Algebra as a course text.

Skidmore College: In their course Mathematical Modeling, Mathematica modules on Langrangian and Spline interpolation are used in the class lectures.

University of California at Berkley: The Linear Algebra and Differential Equations uses the e-textbook Introduction to Matrix Algebra as a course reference

Mississippi Valley State University:  In their course Numerical Analysis I, examples from computer engineering are being used.

Michigan State: In the Analytical Methods for Electrical Engineering course, uses the e-textbook Introduction to Matrix Algebra as an optional textbook

Chulalongkorn University, Thailand: In their course Computational Physics, the power point presentations and textbook notes of the website are used.

Vrije Universiteit Amsterdam: In their course Methods in Theoretical Biology, the e-textbook Introduction to Matrix Algebra is recommended reading 

University of California at San Deigo: Used as online resource for MATH 170C Numerical Ordinary Differential Equations.

Louisiana Tech: In their course MEEN 292 Mechanical Engineering Computer Applications, many of the physical problems of the website are used to assign HW and illustrate numerical methods.

Polytechnic University:  Links Introduction to Matrix Algebra ebook as a useful link for EL 512 Image Processing course.

Digital Libraries

NSDL National Science Digital Library: NSDL is the Nation's online library for education and research in Science, Technology, Engineering, Mathematics.  View the collection data of the website.

World Lecture Hall: WLH is an entry point to free online course materials from around the world.

Library at Mathcad:  Resources are under Aerospace, Chemical Engineering, Civil and Mechanical Engineering, Computer Science, Electrical Engineering, Mathematics categories.

Mathforum: The Math Forum is the comprehensive resource for math education on the Internet.  Entries are for the website and the Introduction to Matrix Algebra book.

NSDL Scouts Report: Since 1994, the Internet Scout Project has focused on research and development projects that provide better tools and services for finding, filtering and delivering online information and metadata.  Here they are reviewing the Introduction to Matrix Algebra ebook.

MERLOT: Finds peer reviewed online teaching and learning materials. Shares advice and expertise about education with expert colleagues. Recognizes contributions to quality education.  View the collection data of the website.

SMETE: Engineering Pathway is a portal to high-quality teaching and learning resources in applied science and math, engineering, computer science/information technology and engineering technology, for use by K-12 and university educators and students.  View the collection data.

INTUTE: Intute is a free online service providing you with access to the very best Web resources for education and research. The service is created by a network of UK universities and partners.  View the collection data of the Introduction to Matrix Algebra book.

Computational Package Centers

Maple Applications Work Center: Worksheets in Maple are available at Numerical Methods Education; Manufacturing; Statistics; Economics; Numerical Analysis

MATHEMATICA Information Center: Links are available at Courseware for Numerical Methods

Featured User MathCAD: In October, 2004 MathCAD Advisor Newsletter profiled the website as a featured user.

Awards

2004 ASME Curriculum Innovation Award: The ASME Curriculum Innovation Award recognizes innovation in Mechanical Engineering (ME) and Mechanical Engineering Technology (MET) Education and encourages the dissemination of exemplary curricular innovations throughout the engineering education community. The award is given for curriculum innovations for undergraduate, graduate or continuing education, that 1) have demonstrated a significant advancement in engineering education and have been demonstrated (reduced to practice). 2) Have the potential for significant impact on meeting the changing needs of the engineering profession. 3) Have the ability to be adapted by many schools in an affordable and effective manner. 4) Show a high likelihood of the innovation being widely adopted.” In 2004, Drs. Kaw and Besterfield received the award for the ongoing development, assessment, and dissemination of the web-based modules available at the Holistic Numerical Methods Website.  Read paper and go through the PPT presentation.

2006 ASEE DELOS Best Paper Award: The Division for Experimentation and Laboratory Oriented Studies (DELOS) Division of American Society of Engineering Education (ASEE) recognizes individuals for excellence in the preparation and presentation of a paper in a DELOS session at the ASEE Annual Conference.  A paper on "Assessing Teaching Methods in a Numerical Methods Course" received a 2006  ASEE DELOS best paper award.

PUBLICATIONS

Incorporating a Research Problem in a Numerical Methods Course for Mechanical Engineers: This paper is an example of incorporating a research problem in a course in Numerical Methods for Mechanical Engineers. The research problem relates to the fulcrum assembly procedure of bascule bridges where a trunnion cooled in a dry-ice/alcohol mixture for shrink fitting got stuck halfway in the hub. To find the solution to the problem involved numerical solutions of mathematical procedures including nonlinear equations, simultaneous linear equations, interpolation, regression, integration, and ordinary differential equations. Using this problem-centered approach is highly appreciated by students as found via a student satisfaction survey.   What they liked most was the 1) application of course material to real-life engineering problem and 2) using different solution approaches to the same problem and comparing the quality of the solutions. Type of publication: Proceedings of the ASEE Conference, Honolulu, HI, June 25-28, 2007. View presentation [PPT PDF]; View paper [PDF].

Assessing Teaching Methods for a Course in Numerical Methods:  Effectiveness of four instructional delivery modalities – 1) Traditional lecture, 2) Web-enhanced lecture, 3) Web-based self-study, and 4) Combined web-based self-study & classroom discussion, was investigated for a single instructional unit (Nonlinear Equations) over separate administrations of an undergraduate course in Numerical Methods. Two assessment instruments – 1) student performance on a multiple-choice examination, and 2) a student satisfaction survey were used to gather relevant data to compare the delivery modalities. Statistical analysis of the assessment data indicates that the second modality where web-based modules for instruction were used in conjunction with a face-to-face lecture delivery mode resulted in higher levels of student performance and satisfaction.  Type of publication: International Journal of Engineering education (in print for 2007); Presented at the ASEE Conference, Chicago, IL, June 18-21, 2006. View presentation [PPT PDF]  

Assessment of a Web-Enhanced Course in Numerical Methods: Effectiveness of web-based modules developed for a course in Numerical Methods was measured via three mixed assessment instruments – student satisfaction survey, student performance in a multiple-choice examination based on Bloom’s taxonomy, and summative rating of the modules based on content, learning, usability and technology. The web-based modules are holistic and are customized based on a student’s engineering major and choice of computational system. Statistical analysis of the assessment data indicates that web-based modules for instruction improved both student satisfaction and performance. Type of publication: International Journal of Engineering Education, pp. 712-722, Vol. 21 (4), 2005 [ABSTRACT]. 

Techniques Employed by Highly Effective Engineering Educators: Techniques include being organized, understand the importance of first day, use teaching tools effectively, being compassionate, give rapid feedback, ask questions, and having high expectations. Type of publication:  ASCE Journal of Professional Issues and Engineering Education, pp. 175-177, Vol. 131 (3), 2005. View presentation [PDF]

Novel Web-Based Modules for a Course in Numerical Methods: Web based resources are being developed, assessed and disseminated for a typical undergraduate course in Numerical Methods. These resources are holistic, that is, they include pre-requisite information, real-life applications, presentations and textbook notes, simulations, and self-assessment. The student interest and learning are maximized by providing customization of content based on a student’s engineering major and computational system of choice. The effectiveness of the resources was measured via two mixed assessment instruments – student satisfaction survey and student performance. Statistical analysis of the assessment data indicates that web-based modules for instruction improved both student satisfaction and performance.  Type of publication: 2004 ASME Curriculum Innovation Award Winner, Preprint, ASME International Mechanical Engineering Congress & Exposition, Anaheim, CA, Nov 13-19, 2004.  View presentation [PPT] [PDF]; View Preprint [PDF]

Holistic but Customized Resources for a Course in Numerical Methods:  Prototype web based resources have been developed for an undergraduate course in Numerical Methods.  The web modules are holistic, that is they include pre-requisite information, real-life applications, presentations and notes, simulations, and self-assessment.  The student interest and learning are maximized by providing customization of content based on a student’s engineering major and computational system of choice. Type of publication: Computer Applications for Engineering Education, pp. 203-210, Vol. 11, 2004.  Read paper. 

On Comparing Computational Systems - Maple, MathCAD, MATHEMATICA & MATLAB:  For developing web-based resources for an undergraduate course in Numerical Methods, four computational systems (Maple®, MathCAD®, MATHEMATICA®, and MATLAB®) were used to illustrate algorithms, convergence, and pitfalls of different numerical methods.  In this paper, we discuss the advantages and drawbacks of each mathematical package based on this experience.  Also as an example, from the four computational systems, we show the source code and output for one of the simulations. Type of publication: ASEE Computers in Education Journal, pp. 12-24, Vol. XIV(1), 2004. 

Web-Based Resources for a Course in Numerical Methods:  Funded by the NSF CCLI-EMD program, web based resources .... Prototype resources are available for topics in nonlinear equations and interpolation. The innovative feature of the web modules is that they are holistic as well as customizable. [PDF], [DOC], [HTML]).  Type of publication: Proceedings of the FIE 2003 conference in Boulder, CO, November 5-8, 2003.

Holistic Numerical Methods -  A Customized Approach: Web based resources have been developed that are holistic but also customized for an undergraduate course in Numerical Methods (... more [PDF], [DOC], [HTML], [PPT]). Type of publication: Presented at the ASEE 2003 conference in Nashville, TN, June 22-25, 2003.

Seven Traits of Highly Effective Engineering Educators: Traits include being organized, understand the importance of first day, use teaching tools effectively, being compassionate, give rapid feedback, ask questions, and having high expectations (... more [PPT]).  Type of publication: Proceedings of the ASEE 2003 conference in Nashville, TN, June 22-25, 2003.

Using Bloom's Taxonomy to Develop Exam Questions: To check your mastery at expected levels in the course – Computational Methods (Numerical Methods), I am following a widely used approach to item-writing and test construction.  This approach is called Bloom’s taxonomy (.. more).  Type of publication: Web Article

Introduction to Matrix Algebra: This book is written primarily for students who are at freshman level or do not take a full 3-credit hour course in Linear/Matrix Algebra, or are wanting a contemporary and applied approach to Matrix Algebra (download book [PDF]). Type of publication: E-Book on Web.

Holistic Numerical Methods -  A Prototype:  Prototype web based resources have been developed at the University of South Florida for an undergraduate course in Numerical Methods (...more [PDF], [DOC], [HTML]).

Type of publication: Presented at 2002 NSF ECEG conference in Washington DC, September 30 - October 1, 2002