Curriculum Vitae

 Timothy J Trenary

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 ttrenary@regis.edu


Education

 

1998    PhD   Mathematics, Colorado State University     Fort Collins, CO
           
Dissertation directed by Dr. Aubrey Poore
            Title:  “
A Banach-Hilbert Space Framework for the Study of Parametric Problems
                       in Abstract Optimization”

1993    MS    Mathematics, Purdue University                 Lafayette, IN

1988    BS     Mathematics, University of Illinois             Champaign-Urbana, IL

1986    AS     Southwestern Illinois College                      Belleville, IL

 


Honors and Awards

 

The College of Natural Sciences Graduate Teaching Assistant Award for outstanding performance in Science Education (Colorado State University), 1997

 


Teaching Experience

 

1994-1999    Graduate Teaching Assistant
                     Colorado State University                      Fort Collins, CO 

General Statistics, ST 201 (~100 students per section)
Introduction To Statistical Methods, ST 301.

Standard statistics courses covering a wide range of topics.  Developed and implemented lectures and lesson plans; created and evaluated exams and assignments.

 

Ordinary Differential Equations, M 340

This course was a first effort at reforming the differential equations curriculum at CSU by emphasizing the numerical and qualitative analysis of solutions. Participated in designing and developing the course including the syllabus and objectives; collaborated on the selection of the required texts; wrote and presented lectures; wrote and administered exams and quizzes; developed and graded written and oral class projects.

 

           Calculus for the Physical Sciences I, II and III 

A calculus reform effort focusing on the use of the Maple software package to encourage experimentation and application of fundamental concepts.  Developed and implemented lectures and lesson plans; created and evaluated exams and assignments.

 

1993,1994   Summer Adjunct Faculty
                   Southwestern Illinois College                  Belleville, IL
 

Ordinary Differential Equations, M 290.

A standard differential equations course, covering classical techniques.  Developed syllabus, designed and implemented lectures and lesson plans; created and evaluated exams and assignments.

 

1993-1994  Adjunct Faculty
                   Front Range Community College                  Fort Collins, CO

College Algebra, College Trigonometry.

Reform efforts focusing on the use of graphing calculators as an exploratory tool and problem solving aid.  Developed, designed, and implemented lectures and lesson plans. Created and evaluated exams and assignments.

 

1991-1993 Graduate Teaching Assistant
                  Purdue University                  West Lafayette, IN

Plane Analytic Geometry and Calculus I, II
Introduction to Calculus (Calculus for Business and Social sciences).

Developed and implemented lectures and lesson plans. Created and evaluated exams and assignments.  The Introduction to Calculus course covered a broad spectrum of topics, ranging from the basics of differentiation to Lagrange multipliers.

 

2006   Adjunct Faculty
           DeVry University Online                  Naperville, IL

Statistics for Descion Making

This was an accelerated online statistics course primarily aimed at business major enrolled in DeVry’s online business program.  During the eight weeks,  everything from the basics up through hypothesis testing are covered.

 

 2006   Hired as Assistant Professor of Mathematics
            Regis University                  Denver, CO

                  Wooooohoooooo!

 

 


Additional Experience

 

2000-2002 International Business Machines EPIC Program Mentor

 

Supported career development and provided guidance for undergraduate students involved in the IBM Employment Pathways for Interns and Coops (EPIC) program by acting as mentor for three summer interns. This included devising an accessible project, scheduling and teaching of the relevant concepts.  The highlight of this experience involved rapidly learning American Sign Language and Deaf culture basics and developing a structured work program in order to guide a hearing-impaired undergraduate summer intern towards her goal of becoming an image scientist.

 

1999-2004 IBM Development Educator

Facilitated customer service, development and test team education by presenting numerous formal and informal education sessions on a wide variety of topics while meeting the demands of software development responsibilities. Topics included:  JPEG image encoding and its importance to printer image processing, compression algorithms, matrix fundamentals, linear transforms, and change of basis in a vector space.

 

 1999-2006   Staff Software Engineer
                     IBM Printing Systems                               Boulder, CO

Demonstrated successes in the development of image processing software, industrial printer software, and a variety of custom printing solution. Accomplished in software development and performing research. Skills include: AIX, UNIX, Linux, Windows, C/C++, Java, Korn Shell, Bash Shell.

 


Professional Memberships and Activities

 

Mathematical Association of America member since 1997

Reviewer for ICASSP (International Conference on Acoustics, Speech and Signal Processing) since 2001

 Reviewer for IEEE Transactions on Signal Processing  2005

 


 

Publications and Papers

 

J.Q. Trelewicz, and T.J. Trenary, “Multidimensional Rational Approximations With an Application to Linear Transforms”, IEEE Transactions on Signal Processing, Vol 52, No 5, May 2004

T. Nowicki, J. Q. Trelewicz, M. Martens, T. Trenary, “Error diffusion method for resampling in the transform domain,” International Journal of Computational and Numerical Analysis and Applications, vol. 2, no. 4, 2002, pp. 413-427

J. Q. Trelewicz, T. J. Trenary, “Fast image processing for wireless thin client visualization”, invited paper in Sixth Multi-Conference on Systemics, Cybernetics and Informatics, (Orlando, FL, USA), 14 -18 July 2002.

T. Trenary, C. A. Micchelli, J. Q. Trelewicz, M. Martens, J. Mitchell, “Fast DCT-domain image shifting and merging”, Proc. of 35th Asilomar Conference on Signals, Systems, and Computers 2001, (Pacific Grove, CA), 4-7 Nov 2001.

 

 


Patents

 

“Method and System for Scaling a Sample Rate”
Co-inventors: Nowicki, T.J., Trelewicz, J.Q., Martens, M.

 

“Efficient Scaling in the Transform Domain”
Co-inventors: Nowicki, T.J., Trelewicz, J.Q., Martens, M., Mitchell, J.L.

 

“A Method and System for Secret Communication”
Co-inventors: Condon, J.B., Rijavec, N., Mitchell, J.L.

 

“Halftone Method and Apparatus which Provides a Screen Frequency of N/2 for a Printer with Resolution  Dots Per Inch Without Negative Print Effects”
Co-inventors: Dittrich, D.K., Qiao, Y., Mitchell, J.L.


“Scaling of Multi-dimensional Data in a Hybrid Domain"
Co-inventors: Mitchell, J.L.

 

“Hybrid Domain Processing of Multi-dimensional Data”
Co-inventors: Martens, M., Mitchell, J.L.

 

“Shift and/or Merge of Transformed Data Along Two Axes”
Co-inventors: Micchelli, C.A., Martens, M., Mitchell, J.L.

 

 “Shift and/or Merge of Transformed Data Along One Axis”
Co-inventors: Micchelli, C.A., Martens, M., Mitchell, J.L.

 

“Method system and Program for Fractionally Shifting Data Subject to a Previous Transformation”
Co-inventor: Mitchell, J.L.

 

“Method and Apparatus for the Scaling Up of Data”
Co-inventors: Finlay, I.R., Rijavec, N., Mitchell, J.L.

 

“Method and Apparatus for the Scaling Down of Data”
Co-inventors: Finlay, I.R., Rijavec, N., Mitchell, J.L.

 

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