Frederick W. Chapman

Current

Technical Consultant, Research Scientist, and Business Owner at F.W. Chapman Solutions (www.fwchapman.com)

Past

Visiting Professor of Computer Science at Drexel University
Postdoctoral Research Fellow in Computer Science at University of Waterloo
Adjunct Professor of Applied Mathematics at University of Waterloo

Senior Consultant in the Computing Center at Lehigh University
Teaching Assistant/Computer Lab Assistant in Mathematics at Cornell University
Database Application Developer/Project Manager in the Center for Information and Computing Science at Lehigh University

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3 more...

Education

University of Waterloo (PhD, 2003)
University of Waterloo (MMath, 1998)
Lehigh University (BA, 1982)

Liberty High School (1979)

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1 more...

Connections

153 connections

Industry

Information Technology and Services

Frederick W. Chapman’s Summary

I am preparing to open an interdisciplinary consulting firm, F.W. Chapman Solutions, in 2010. My company provides a wide range of professional services and conducts independent scientific research.

WHAT CAN MY COMPANY DO FOR YOU?

My firm's Professional Services Division has the expertise and equipment to provide complete solutions which seamlessly blend four strategic areas:

1. WEB DESIGN & DATABASE DEVELOPMENT

• websites, blogs, photo galleries
• e-commerce, user accounts
• databases, online forms
• online marketing, social media
• web analytics, SEO

2. DIGITAL PHOTOGRAPHY & POST PRODUCTION

• advanced digital imaging lab, online photo archive
• retouching/compositing, captioning/keywording
• online searching/browsing/proofing/ordering
• mobile photo studio, on-location shoots
• business portraits, product shots
• architectural interiors/exteriors, cultural/social events

3. E-LEARNING

• computer-based training
• automated quizzes/tests
• online courses

4. MATHEMATICAL SOFTWARE

• consulting
• onsite/online training
• coding, testing, debugging

My Commercial Products Division develops targeted information products to sell online and sells photos as digital downloads and prints. My Scientific Research Division does original research in mathematics and computing and uses the results to develop more powerful mathematical software and better digital image processing algorithms.

WHY SHOULD YOU HIRE MY COMPANY?

I am a university professor turned entrepreneur — a scientist, technologist, and artist with decades of experience solving complex problems in a wide range of disciplines. My company uses industry-leading tools to provide innovative, cost-effective, reliable solutions for businesses, professionals, artists, performers, educators, researchers, and other clients.

When you need proven solutions from an experienced professional problem solver, you need F.W. Chapman Solutions. I thank you for your business!

Frederick W. Chapman’s Specialties:

PROFESSIONAL SERVICES

• Web Design & Database Development
• Digital Photography & Post Production
• E-Learning & Computer-Based Training
• Mathematical Software Consulting

COMMERCIAL PRODUCTS

• E-Books, E-Courses, E-Manuals
• Photo Downloads & Prints

SCIENTIFIC RESEARCH

• Computational Functional Analysis
• Multivariate Interpolation/Approximation
• Multilinear Algebra, Matrix Analysis
• Computer Algebra, Symbolic Computation
• Symbolic-Numeric Methods, Parallel Algorithms

Frederick W. Chapman’s Experience

Technical Consultant, Research Scientist, and Business Owner

F.W. Chapman Solutions (www.fwchapman.com)

(Privately Held; Information Technology and Services industry)

August 2010 — Present (2 months)

I am currently preparing to open my company for business. My target date is Summer 2010.

For more information about F.W. Chapman Solutions, please visit the company website, blog, and photo archive:

www.fwchapman.com
blog.fwchapman.com
photos.fwchapman.com
Visiting Professor of Computer Science

Drexel University

(Educational Institution; Higher Education industry)

2006 — 2008 (2 years )

I was the course coordinator, course developer, and principal instructor for Drexel's Computation Lab when it was first offered to all College of Engineering freshmen. This three-term sequence of one-credit computer science labs used Maple to introduce students to computer programming, symbolic-numeric computation, scientific visualization, computer simulation, and data analysis.

Building on Prof. Jeremy R. Johnson's pilot project (ca. 70 students), we expanded the Computation Lab into a massive college-wide offering (ca. 700 students). We solved the problems of scale by building a team of a dozen faculty members and teaching assistants, and by inaugurating Drexel's use of Maple TA for online testing, thereby eliminating the need for hand-grading. Together, my team and I successfully transformed the fledgling Computation Lab from a small pilot project into an established, large-scale, technology-based course sequence.

See also: www.cs.drexel.edu/complab
Postdoctoral Research Fellow in Computer Science

University of Waterloo

(Educational Institution; 1001-5000 employees; Higher Education industry)

2005 — 2006 (1 year )
Adjunct Professor of Applied Mathematics

University of Waterloo

(Educational Institution; 1001-5000 employees; Higher Education industry)

2003 — 2005 (2 years )
Senior Consultant in the Computing Center

Lehigh University

(Educational Institution; 1001-5000 employees; Higher Education industry)

1986 — 1995 (9 years )

Mathematical Software Specialist (Maple, Mathematica, MATLAB, MathCAD, IMSL, NAG, LINPACK, EISPACK, LAPACK, NETLIB, etc.)

Supercomputing Specialist (Pittsburgh Supercomputing Center, Cornell Theory Center, PVM, FORTRAN)
Teaching Assistant/Computer Lab Assistant in Mathematics

Cornell University

(Educational Institution; 10,001 or more employees; Higher Education industry)

1983 — 1986 (3 years )
Database Application Developer/Project Manager in the Center for Information and Computing Science

Lehigh University

(Educational Institution; Higher Education industry)

1981 — 1983 (2 years )

Frederick W. Chapman’s Education

University of Waterloo (PhD, 2003)

Doctor of Philosophy , Applied Mathematics , 1998 — 2003

In my 326 page doctoral thesis, "Generalized Orthogonal Series for Natural Tensor Product Interpolation," I introduced a dozen original mathematical inventions in half a dozen different areas of mathematics, developed rigorous mathematical theories for all of them, and presented a variety of computational applications. The principal invention of my thesis is the "Geddes series expansion" (GSE), which I named in honor of my thesis supervisor, Prof. Keith O. Geddes. GSEs form a vast parameterized family of bilinear series expansions for multivariate functions — the number of degrees of freedom in the parameter space is uncountably infinite! The terms of a GSE are generated by a simple iterative algorithm based on a nonlinear "abstract splitting operator," which I also invented. GSEs have dozens of computational applications ranging from the fast and accurate approximation of high-dimensional multiple integrals to the automatic derivation and proof of multivariate identities.
University of Waterloo (MMath, 1998)

Master of Mathematics , Applied Mathematics , 1995 — 1998

In my 178 page master's thesis, "Theory and Applications of Dual Asymptotic Expansions," I introduced several original mathematical inventions, developed rigorous mathematical theories to support them, and presented a computational application in Maple. First, I invented the "dual asymptotic expansion" (DAE), which is a new kind of bilinear series expansion for multivariate functions. The terms of a DAE are generated by a simple iterative algorithm based on a nonlinear "asymptotic splitting operator," which I also invented. I used Maple to demonstrate a new technique for approximating special functions by elementary functions — expand the kernel of an integral representation in a DAE and then integrate termwise. My master's thesis was supervised by Prof. Keith O. Geddes, co-inventor of the Maple computer algebra system. My doctoral thesis (see above) built directly on my master's thesis and extended it considerably.
Lehigh University (BA, 1982)

Bachelor of Arts , Pure Mathematics , 1979 — 1982

I completed a very demanding four-year bachelor's degree program in three years — I majored in pure mathematics and took five elective courses in computer science. I was two years ahead of my classmates in mathematics and took junior-level mathematics courses in my freshman year. I was on the Dean's List every semester, graduated Magna Cum Laude, and was inducted into two national honor societies: Phi Beta Kappa (upon graduation) and Phi Eta Sigma (after freshman year).

"Φιλοσοφία Βίου Κυβερνήτης."
Liberty High School (1979)

Diploma , College Preparatory Track , 1977 — 1979

I attended seven different schools in twelve years of public education. In my final four years, I attended four different schools and twice changed schools in the middle of the school year. These tough challenges actually brought out the best in me — I graduated first in a high school class of over 500 students. During my senior year of high school, I was also a part-time student at Lehigh University, where I took two sophomore-level mathematics courses.

"Crescit sub pondere virtus."

Additional Information

Frederick W. Chapman’s Interests:

WEB DESIGN & DATABASE DEVELOPMENT, Dreamweaver/Fireworks, WordPress/ThemeDreamer, PhotoShelter/GPP, PayPal, CSS, Ajax, PHP, MySQL, DIGITAL PHOTOGRAPHY, Lightroom/Photoshop, Photo Mechanic/CVKC, Downloader Pro, Nik Complete Collection, onOne Plug-In Suite, Snap Art, Photomatix, PhotoAcute, E-LEARNING, Captivate/Flash, Camtasia/Snagit, Maple TA, Blackboard, Moodle, MATHEMATICAL SOFTWARE, Maple, Mathematica, MuPAD, Scientific WorkPlace, Axiom/Aldor, Sage/Python, Java, SciPy/Scilab, Octave/Gnuplot, Biocep-R, LyX, SCIENTIFIC RESEARCH, Geddes series, computational functional analysis, multivariate interpolation/approximation, multivariate series/identities, multilinear algebra, matrix analysis, multiple integration, special functions, integral equations/transforms, positive definite kernels, experimental mathematics, computer algebra, symbolic computation, numerical analysis, hybrid symbolic-numeric methods, parallel algorithms, high-performance computing, digital image processing