Paul Musial
Adjunct Lecturer

Education 
Ph D, University of Illinois at Chicago, 2002. Major: Mathematics Supporting Areas of Emphasis: Real Analysis Dissertation Title: The Lr Henstock Kurzweil Integral

MS, University of Illinois at Chicago, 1997. Major: Mathematics Supporting Areas of Emphasis: Probability and Statistics 
BS, University of Illinois at UrbanaChampaign, 1984. Major: Mathematics 

Professional Positions
 Assistant Professor, City Colleges of Chicago. (August 16, 1998  August 15, 2002).
 Academic Advisor, Department, approximately 32 hours spent per year, 1. (January 1,
2018  Present).
 Course Coordinator, Department, 2. (January 1, 2018  May 15, 2021).
 PME Administrator, Department, 1.5. (January 1, 2017  May 15, 2021).
 Math 0990 Level 1 coordinator, Department, 22.5. (August 15, 2005  May 15, 2019).
 Committee Chair, University, 15. (August 16, 2010  December 31, 2012).
 Academic Advisor, Department, 29. (August 16, 2005  May 15, 2012).
 Academic Advisor, University, 13.5. (August 16, 2007  December 31, 2008).
 Academic Advisor, College, 3. (August 16, 2006  May 15, 2007).
 Academic Advisor, Department, 1. (August 16, 2005  December 31, 2005).
Professional Memberships
 Mathematical Association of America. (June 25, 2010  September 30, 2015).
 American Mathematical Society. (August 16, 2005  January 1, 2015).
Publications
 Musial, P., Skvortsov, V. A., & Tulone, F. (2023). Comparison of the Printegral with Burkill’s integrals and some applications to trigonometric
series. 523, 10 pages.
 Musial, P., Skvortsov, V., & Tulone, F. (2022). The HK_rintegral is not contained in the Printegral. 150(5), 2107–2144.
 Musial, P., Skvortsov, V., & Tulone, F. (2022). On Descriptive Characterizations of the HKrIntegral Recovering Function from its
LrDerivative. Published.
 Musial, P., & Tulone, F. (2022). The LrVariational Integral. 2022, 10 pages.
 Musial, P., & Tulone, F. (2019). Dual of the Class of $HK_{r}$ Integrable Functions. 04 (2019)(1), 151–160.
 Musial, P., & Massarwi, E. (2015). A StieltjesType Extension of the $L^{r}$ Perron Integral. 40(2), 291–308.
 Tulone, F., & Musial, P. (2015). Integration by parts for the $L^r$ HenstockKurzweil integral. 2015(44), 1–7.
 Sagher, Y., Siadat, M. V., & Musial, P. (2008). Keystone Method: A Learning Paradigm in Mathematics. 18(4), 337–348.
 Musial, P., & Sagher, Y. (2004). The $L^{r}$ HenstockKurzweil Integral. 160, 53–81.
Presentations
 Musial, P., 40th Summer Symposium in Real Analysis, "Dual of the Class of $HK_{r}$
Integrable Functions," Real Analysis Exchange, Sarajevo, BosniaHerzegovina. (June
21, 2016).
 Musial, P., 2016 Joint Mathematics Meetings, "Assessment of Student Learning in the
Age of the Internet," Mathematical Association of America, Seattle. (January 6, 2016).
 Musial, P., AMS Central Fall Sectional Meeting, "Integrating the $L^{r}$ Derivative,"
American Mathematical Society, Loyola University, Chicago. (October 3, 2015).
 Musial, P., Conference In Analysis In Honor of Yoram Sagher, "Works Inspired by $HK_{r}$,"
Florida Atlantic University, Boca Raton, FL. (July 2, 2015).
 Musial, P., 39th Summer Symposium in Real Analysis, "Integration by Parts for the
$L^{r}$ Henstock Kurzweil Integral," Real Analysis Exchange, Northfield, MN. (June
9, 2015).
 Musial, P. (Author & Presenter), 38th Summer Symposium in Real Analysis (City of a
Hundred Spires Symposium), "A Stieltjes type extension of the Lr Perron integral (Joint
work with E. Massarwi)," Czech Technical University, Prague, Czech Republic. (July
10, 2014).
 Musial, P. (Author & Presenter), 2014 Joint Mathematics Meetings, "Spice Up Your Real
Analysis Class with In Class Presentations," American Mathematical Society and Mathematical
Association of America, Baltimore, MD. (January 15, 2014).
 Musial, P. (Author & Presenter), 2013 Joint Mathematics Meetings, "Shortening the
Path," American Mathematical Society and Mathematical Association of America, San
Diego, CA. (January 12, 2013).
 Musial, P. (Author & Presenter), 2012 Joint Mathematics Meetings, "Using Illustrations
to Motivate Definitions and Proofs in Real Analysis," American Mathematical Society
and Mathematical Association of America, Baltimore, MD. (January 6, 2012).
 Musial, P. (Author & Presenter), 35th Summer Symposium in Real Analysis (Symposium
on the Danube), "Functions of Lrbounded variation," Renyi Mathematical Institute
and Eotvos Lorand University, Budapest, Hungary. (June 5, 2011).
 Musial, P. (Author & Presenter), Conference of Workshops, "Game Theory 101," Metropolitan
Mathematics Club of Chicago (MMC), Chicago, IL. (February 5, 2011).
 Musial, P. (Author & Presenter), 34th Summer Symposium in Real Analysis (Buckeye Symposium),
"The Lr variational integral," College of Wooster, Wooster, OH. (July 16, 2010).
 Musial, P. (Author & Presenter), 33rd Summer Symposium in Real Analysis (Tall Grass
Prairie Symposium), "New Results for the Lr Henstock Kurzweil Integral," Southeastern
Oklahoma State University, Durant, OK. (June 25, 2009).
 Musial, P. (Author & Presenter), Annual Meeting, "Using Metaphor to Motivate Concepts
in Real Analysis," Illinois Section of the Mathematical Association of America (ISMAA),
Charleston, IL. (April 4, 2008).
 Musial, P. (Author & Presenter), Conference of Workshops, "Inspire Students with the
TI N'Spire," Metropolitan Mathematics Club of Chicago (MMC), Chicago, IL. (January
26, 2008).
 Musial, P. (Author & Presenter), 2008 Joint Mathematics Meetings, "Using Metaphor
to Motivate Concepts in Real Analysis," American Mathematical Society and Mathematical
Association of America, San Diego, CA. (January 6, 2008).
Contract, Fellowships, Grants and Sponsored Research
 Musial, P., "Visit to University of Palermo," Sponsored by University of Palermo,
Italy, Other, $1,300.00. (May 13, 2013  May 28, 2013).
 Silver, H. (CoPrincipal), Attele, K. R. (CoPrincipal), Hrozencik, D. (Supporting),
Musial, P. (Supporting), "Ensuring Mastery of Mathematics with Conceptual Tools and
Gateways," Sponsored by CSU, Federal, $184,151.00. (October 1, 2006  September 30,
2010).
 Humke, P. D. (CoPrincipal), Musial, P. (CoPrincipal), "32nd Summer Symposium in
Real Analysis," Sponsored by Real Analysis Exchange, Federal, $15,000.00. (April 15,
2008  March 31, 2009).
Research Activity
"Dual of the Class of $HK_{r}$ Integrable Functions" (OnGoing). (January 30, 2017
 Present).
Abstract. We define for $1 ≤ r < ∞$ a norm for the class $HK_{r}$ of functions which
are HenstockKurzweil integrable in Lr
sense. We then establish that the dual in this norm is isometrically isomorphic to
$L_{r}$ and is therefore a Banach
space, and in the case $r = 2$, a Hilbert space.
"Extension of HenstockKurzweil integral" (Writing Results). (October 1, 2015  Present).
We define an extension to the HenstockKurzweil integral.
"Functions of $L^{r}$ Bounded Variation" (OnGoing). (January 1, 2015  Present).
We define the $L^{r}$ variation of a function defined on a bounded interval and show
that a function has finite $L^{r}$ variation if and only if it is BV in the classical
sense on the interval.
"now" (OnGoing). (May 1, 2014  Present).
New work for Cello and Pure Data computer program
Teaching Experience
 MATH 1200, section 02, College Algebra. 3 credit hours. 22 enrolled.
 MATH 1195, section 02, College Algebra Lab. 2 credit hours. 16 enrolled.
 CPTR 5210, section 01, Graph Theory for Data Science. 3 credit hours. 19 enrolled.
 MATH 4410, section 01, Introduction to Real Variables. 3 credit hours. 3 enrolled.
 MATH 4650, section 01, Probability and Mathematical Statistics. 3 credit hours. 5
enrolled.
 MATH 1200, section 02, College Algebra. 3 credit hours. 27 enrolled.
 MATH 1195, section 02, College Algebra Lab. 2 credit hours. 17 enrolled.
 MATH 4250, section 61, Introduction to Modern Algebra I. 3 credit hours. 3 enrolled.
 MATH 5610, section 61, Mathematical Statistics. 3 credit hours. 9 enrolled.
 MATH 4940, section 61, Mathematics Seminar. 3 credit hours. 1 enrolled.
 MATH 1410, section 61, Calculus I. 4 credit hours. 24 enrolled.
 MATH 1200, section 01, College Algebra. 3 credit hours. 23 enrolled.
 MATH 1195, section 01, College Algebra Lab. 2 credit hours. 16 enrolled.
 CPTR 5210, section 01, Graph Theory for Data Science. 3 credit hours. 13 enrolled.
 MATH 4410, section 61, Introduction to Real Variables. 3 credit hours. 3 enrolled.
 MATH 4600, section 01, Introduction to Statistics. 4 credit hours. 3 enrolled.
 MATH 1210, section 01, College Alg & Trig. 3 credit hours. 17 enrolled.
 MATH 1200, section 04, College Algebra. 3 credit hours. 18 enrolled.
 MATH 1195, section 03, College Algebra Lab. 2 credit hours. 11 enrolled.
 MATH 4250, section 61, Intro Mod Algebra I. 3 credit hours. 7 enrolled.
 MATH 4940, section 01, Mathematics Seminar. 3 credit hours. 5 enrolled.
 MATH 1200, section 01, College Algebra. 3 credit hours. 25 enrolled.
 MATH 1195, section 01, College Algebra Lab. 2 credit hours. 20 enrolled.
 MATH 4410, section 61, Introduction to Real Analysis. 3 credit hours. 2 enrolled.
 MATH 4650, section 61, Probability and Mathematical Statistics. 3 credit hours. 7
enrolled.
 MATH 91277, section 542061, Analysis I. 3 credit hours. 3 enrolled.
 MATH 97341, section 119501, Coll Alg Lab. 2 credit hours. 17 enrolled.
 MATH 91223, section 121001, College Alg & Trig. 22 enrolled.
 MATH 91220, section 120002, College Algebra. 4 credit hours. 25 enrolled.
 MATH 91279, section 425061, Intro Mod Algebra I. 3 credit hours. 2 enrolled.
 MATH 94682, section 494001, Mathematics Seminar.
 MATH 2800, section 1, Discrete Math.MATH 4600, section 1, Intro Statistics.
 MATH 3800, section 61, Theory of Interest.
 MATH 5420, section 61, Analysis I. 3 credit hours. 4 enrolled.
 MATH 1400, section 61, Basic Calculus. 3 credit hours. 11 enrolled.
 MATH 1210, section 01, College Alg & Trig. 3 credit hours. 20 enrolled.
 MATH 1210, section 1, College Alg & Trig.
 MATH 3630, section 01, Review Actuary Exam. 2 credit hours. 2 enrolled.
 MATH 3630, section 1, Review Actuary Exam.
 MATH 1210, section 01, College Alg & Trig. 3 credit hours. 17 enrolled.
 MATH 2800, section 01, Discrete Math. 3 credit hours. 14 enrolled.
 MATH 5920, section 01, Graduate Seminar. 3 credit hours. 2 enrolled.
 MATH 3800, section 61, Theory of Interest. 3 credit hours. 4 enrolled.
 MATH 5420, section 61, Analysis I.
 MATH 1210, section 1, College Alg & Trig.
 MATH 1900, section 1, Intro Math Profssns.
 MATH 1020, section 61, Math for ELED Tch II.
 MATH 1210, section 1, College Alg & Trig.
 MATH 2800, section 1, Discrete Math.
 MATH 4600, section 1, Intro Statistics.
 MATH 1400, section 61, Basic Calculus.
 MATH 1210, section 1, College Alg & Trig.
 MATH 1900, section 1, Intro Math Profssns.
 MATH 3630, section 1, Review Actuary Exam.
 MATH 5470, section 61, Functional Analysis.
 MATH 4600, section 1, Intro Statistics.
 MATH 5610, section 61, Math Statistics I.
 MATH 1250, section 1, PreCalculus Math.
 MATH 3800, section 61, Theory of Interest.
 MATH 5420, section 61, Analysis I.
 MATH 1400, section 61, Basic Calculus.
 MATH 1210, section 1, College Alg & Trig.
 MATH 1900, section 1, Intro Math Profssns.
 MATH 3630, section 1, Review Actuary Exam.
 MATH 0990, section IB, Appl Intermed Algebra.
 MATH 990, section IB, Appl Intermed Algebra.
 MATH 1420, section 1, Calculus II.
 MATH 1250, section 1, PreCalculus Math.
 MATH 5420, section 61, Analysis I.
 MATH 1400, section 61, Basic Calculus.
 MATH 1210, section 1, College Alg & Trig.
 MATH 2300, section 1, Intro Higher Math.
 MATH 5430, section 61, Analysis II.
 MATH 2200, section 61, Linear Algebra.
 MATH 1250, section 1, PreCalculus Math.
 MATH 3800, section 1, Theory of Interest.
 MATH 5420, section 61, Analysis I.
 MATH 1400, section 1, Basic Calculus.
 MATH 2300, section 1, Intro Higher Math.
 MATH 3630, section 1, Review Actuary Exam.
 MATH 2430, section 1, Calculus III.
 MATH 5470, section 61, Functional Analysis.
 MATH 4410, section 1, Int Real Variables.
 HON 1355, section 1, Mathematical Inquiry.
 MATH 3800, section 61, Theory of Interest.
 MATH 5420, section 61, Analysis I.
 MATH 5610, section 61, Math Statistics I.
 MATH 5420, section 61, Analysis I.
 MATH 4600, section 61, Intro Statistics.
 MATH 3630, section 1, Review Actuary Exam.
 MATH 5430, section 61, Analysis II.
 MATH 4410, section 61, Int Real Variables.
 MATH 3800, section 1, Theory of Interest.
 MATH 5420, section 61, Analysis I.
 MATH 4600, section 1, Intro Statistics.
 MATH 3630, section 1, Review Actuary Exam.
 MATH 5610, section 61, Math Statistics I.
 MATH 5420, section 61, Analysis I.
 MATH 4600, section 1, Intro Statistics.
 MATH 4600, section 61, Intro Statistics.
 MATH 3630, section 1, Review Actuary Exam.
 MATH 3800, section 1, Theory of Interest.
 MATH 492, section 1, Graduate Seminar.
 MATH 461, section 61, Point Set Topology.
 MATH 313, section 1, Theory of Interest.
 MATH 5315, section 1, (Math 315/G) Intro Statistics.
 MATH 415, section 61, Analysis I.
 MATH 180, section 1, Intro Math Profssns.
 MATH 274, section 1, Review Actuary Exam.
 MATH 271, section 1, Differential Eqns.
 MATH 361, section 1, Intro Mod Algebra I.
 MATH 431, section 61, Par Diff Equations.
 MATH 274, section 1, Review Actuary Exam.
 MATH 313, section 1, Theory of Interest.
 MATH 5315, section 61, (315/G) Intro Statistics.
 MATH 415, section 61, Analysis I.
 MATH 180, section 1, Intro Math Profssns.
 MATH 140, section 1, Math for ELED Tch I.
 MATH 274, section 1, Review Actuary Exam.
 MATH 5361, section 1, (315/G) Intro Mod Algebra I.
 MATH 5345, section 61, (345/G) Hist of Mathematics.
 MATH 201, section 61, Linear Algebra.
 PHYS 345, section 1, Mathematical Methods.
 MATH 433, section 61, Adv Ordinary Diff.
 HON 130, section 1, Mathematical and Scientific Inquiry 1.
 MATH 392, section 61, Mathematics Seminar.
Directed Student Learning
 Master's Project Committee Chair, "Nonabsolute Integrals," MATH. (June 1, 2018  December
1, 2018). Advised: Emmanuel Littrel
 Master's Project Committee Chair, "Nonparametric Statistics," MATH. (January 1, 2018
 May 1, 2018). Advised: Anita Hill
 Master's Project Committee Chair, "Analytic Continuation and the Riemann Zeta Function,"
MATH. (June 1, 2017  May 1, 2018). Advised: LaNay Jackson
 Master's Thesis Committee Chair, "Multiple Approaches to the Hilbert Transform," MATH.
(August 20, 2017  December 15, 2017). Advised: Mouthana Shwayat
 Master's Project Committee Chair, "Game Theory: Nash Equilibria and Its Existence,"
MATH. (January 10, 2016  May 15, 2016). Advised: Andre Gilford
 Master's Project Committee Chair, "Weak Convergence in Lp Spaces," MCSE. (August 16,
2013  May 15, 2014). Advised: William Dennis
 Master's Thesis Committee Chair, "RiemannStieltjes integral and its extensions on
Lr," MCSE. (June 1, 2013  May 15, 2014). Advised: Eyad Massarwi
 Master's Project Committee Chair, "TBA," MCSE. (January 1, 2013  May 17, 2013). Advised: JoVan Harrison
 Master's Project Committee Chair, "Mathematical Modelling in Beekeeping," MCSE. (January
1, 2011  August 6, 2011). Advised: Alojz Jurcik
 Master's Project Committee Chair, "Path Derivatives and FirstReturn Analysis," MCSE.
(February 28, 2008  December 3, 2008). Advised: Piper Haywood
 Master's Project Committee Chair, "Fractal Geometry and Topological Dimension," MCSE.
(February 1, 2008  August 6, 2008). Advised: Brendan Coughlan
 Master's Thesis Committee Chair, "Investigation of the HenstockKurzweil Integral
in nDimensional Space," MCSE. (January 15, 2008  August 6, 2008). Advised: John Bialas
 Master's Thesis Committee Chair, "Demystifying Geometric Algebra," MCSE. (August 16,
2006  August 5, 2007). Advised: Opal Jones
Faculty Development Activities Attended
Conference Attendance, "Faculty Resource Network Summer," New York University, New
York, New York, USA. (June 11, 2018  June 15, 2018).
University Service
 Faculty Advisor, Innovation Lab Symposia. (January 1, 2018  Present).
 Committee Member, Search and Screen Committee Member. (January 1, 2018  Present).
 Committee Member, PME (Planning, Measurement and Effectiveness) Steering Committee.
(April 17, 2013  Present).
 Invite Colloquium Speakers, Department Colloquia. (August 16, 2005  Present).
 Faculty Mentor, Organize trip to Stickney Water Reclamation District plant. (June
26, 2018  November 2, 2018).
 Committee Member, Illinois Articulation Initiative (IAI) General Education Mathematics
Committee. (August 15, 2010  August 15, 2018).
 Committee Officer, Faculty Senate. (August 16, 2017  May 15, 2018).
 Committee Chair, Faculty Senate Buildings and Grounds Committee. (January 20, 2017
 May 15, 2018).
 Committee Member, Faculty Senate. (August 15, 2012  May 15, 2018).
 Cocoordinator of high school math contest, CoCoordinate ICTM Math contest. (January
1, 2008  February 28, 2017).
 Committee Member, College of Pharmacy External DPC. (September 10, 2016  October
5, 2016).
 Invite Yang Wang and assist with preparations, Invite Yang Wang as CSER Speaker. (October
31, 2014  July 13, 2015).
 Committee Member, Police Chief Search. (April 2, 2015  May 27, 2015).
 Committee Member, Search and Screen Committee. (August 16, 2013  May 15, 2014).
 Committee Chair, Search and Screen Committee. (August 16, 2012  May 15, 2013).
 Committee Member, Enrollment, Retention and Graduation Committee. (March 11, 2011
 November 12, 2012).
 Committee Member, Graduate Committee. (August 16, 2010  May 15, 2011).
 Committee Member, University General Education Committee. (August 15, 2007  May 15,
2010).
 Committee Member, HLC Focus Visit Task Force. (November 7, 2009  April 12, 2010).
 Committee Member, 21st Century Academic Affairs Committee. (August 19, 2008  August
19, 2009).
 Committee Member, Undergraduate Committee. (August 16, 2008  December 31, 2008).
 Committee Member, CAS Secondary Education Committee. (January 1, 2008  December 31,
2008).
 Committee Member, Admissions Counselor Search Committee. (February 1, 2008  August
6, 2008).
 Committee Member, College of Education Dean Search Committee. (February 1, 2008 
August 6, 2008).
 Committee Chair, Undergraduate Committee. (August 16, 2005  May 15, 2008).
 Committee Officer, CAS Curriculum Committee. (March 30, 2006  March 27, 2008).
 Committee Member, Strategic Planning. (March 1, 2006  April 30, 2007).
Professional Service
 Committee Member, Illinois Section of the Mathematical Association of America. (August
27, 2013  August 15, 2016).
 Session Chair, Mathematical Association of America, Seattle, WA. (January 6, 2016
 January 9, 2016).
 Session Chair, American Mathematical Society, Chicago, IL. (October 3, 2015  October
4, 2015).
 Committee Member, Conference in Analysis in Honor of Yoram Sagher, Boca Raton, FL.
(February 9, 2015  July 4, 2015).
 ConferenceRelated, Real Analysis Exchange, East Lansing, MI. (January 1, 2007  December
31, 2008)
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