Michael J Gilbert
 Lecturer, Mathematics
 (520) 6210619
 Environment and Natural Res. 2, Rm. S455
 Tucson, AZ 85719
 gilbert1@arizona.edu
Biography
I graduated from Colorado State University  Pueblo in 2007 with Bachelor's degrees in mathematics and physics. From there, I came to the University of Arizona to pursue a PhD in mathematics. During my time as a graduate student, in addition to pure mathematics, I studied theoretical physics, and I taught numerous undergraduate math courses. I became very interested in math education and decided to pursue a career in math education.
In 2013, I finished my PhD at the University of Arizona, and in the Fall of 2014 I was hired on at the U of A as a mathematics instructor. I held that position until 2019 when I took on the position of Lecturer of Mathematics.
Degrees
 Ph.D. Mathematics
 University of Arizona, Tucson, Arizona, United States
 Investigating the relationship between restriction measures and selfavoiding walks.
 B.S. Mathematics/Physics
 Colorado State University  Pueblo, Pueblo, Colorado, United States
Work Experience
 University of Arizona  Department of Mathematics (2021  Ongoing)
 University of Arizona, Tucson, Arizona (2014  2020)
 University of Arizona, Tucson, Arizona (2007  2013)
Awards
 Teaching Service Award  Instructor
 Department of Mathematics  University of Arizona, Spring 2016
Interests
Teaching
As I have progressed in my teaching, I have begun to become more and more interested in ways to get students actively engaged in the learning process. I have worked with colleagues at the University in developing the Math 196M course, which I have personally implemented. I have seen first hand the positive effects of getting students actively engaged and thinking critically about solving problems that require more than the standard mechanical mathematical operations. Additionally, I have become interested in experimenting with alternate grading criteria. I haven't gotten a chance to implement anything of the sort, but I recently read an article written by Cody Patterson, who used to work here at the University, in how alternate grading strategies can keep students who would otherwise feel alienated by mathematics engaged and interested in learning. At some point, I would like to explore this.
Courses
202425 Courses

Calc Concepts: Business
MATH 116 (Fall 2024) 
FirstSemester Calculus
MATH 122B (Fall 2024)
202324 Courses

Calc Concepts: Business
MATH 116 (Summer I 2024) 
Vector Calculus
MATH 223 (Summer I 2024) 
Calc Concepts: Business
MATH 116 (Spring 2024) 
Calc Concepts: Business
MATH 116 (Fall 2023)
202223 Courses

Calc Concepts: Business
MATH 116 (Summer I 2023) 
Calc Concepts: Business
MATH 116 (Spring 2023) 
Vector Calculus
MATH 223 (Fall 2022)
202122 Courses

FirstSemester Calculus
MATH 122B (Summer I 2022) 
Vector Calculus
MATH 223 (Summer I 2022) 
Math of BioSystems
MATH 119A (Spring 2022) 
Vector Calculus
MATH 223 (Spring 2022) 
FirstSemester Calculus
MATH 122B (Fall 2021) 
Vector Calculus
MATH 223 (Fall 2021)
202021 Courses

Calc Concepts: Business
MATH 116 (Summer I 2021) 
FirstSemester Calculus
MATH 122B (Spring 2021) 
Vector Calculus
MATH 223 (Spring 2021) 
Calculus Preparation
MATH 120R (Fall 2020) 
FirstSemester Calculus
MATH 122B (Fall 2020)
201920 Courses

Calc Concepts: Business
MATH 116 (Summer I 2020) 
Calc II SI Seminar
MATH 196N (Spring 2020) 
Calculus II
MATH 129 (Spring 2020) 
FirstSemester Calculus
MATH 122B (Spring 2020) 
Calculus I SI Seminar
MATH 196M (Fall 2019) 
FirstSemester Calculus
MATH 122B (Fall 2019) 
Functions for Calculus
MATH 122A (Fall 2019) 
Vector Calculus
MATH 223 (Fall 2019)
201819 Courses

Calc Concepts: Business
MATH 116 (Summer I 2019) 
Intro Ord Diff Equations
MATH 254 (Summer I 2019) 
Calc II SI Seminar
MATH 196N (Spring 2019) 
Intro to Linear Algebra
MATH 313 (Spring 2019) 
Vector Calculus
MATH 223 (Spring 2019) 
Calculus Preparation
MATH 120R (Fall 2018) 
Vector Calculus
MATH 223 (Fall 2018)
201718 Courses

Calc Concepts: Business
MATH 116 (Summer I 2018) 
Calc Concepts: Business
MATH 116 (Spring 2018) 
Honors Thesis
MATH 498H (Spring 2018) 
Vector Calculus
MATH 223 (Spring 2018) 
FirstSemester Calculus
MATH 122B (Fall 2017) 
Honors Thesis
MATH 498H (Fall 2017) 
Vector Calculus
MATH 223 (Fall 2017)
201617 Courses

Calc Concepts: Business
MATH 116 (Summer I 2017) 
Calc Concepts: Business
MATH 116 (Spring 2017) 
Calculus I SI Seminar
MATH 196M (Spring 2017) 
FirstSemester Calculus
MATH 122B (Spring 2017) 
Calc Concepts: Business
MATH 116 (Fall 2016) 
Calculus I SI Seminar
MATH 196M (Fall 2016) 
Vector Calculus
MATH 223 (Fall 2016)
201516 Courses

Calc Concepts: Business
MATH 116 (Summer I 2016) 
Calc Concepts: Business
MATH 116 (Spring 2016) 
Calc II SI Seminar
MATH 196N (Spring 2016) 
Vector Calculus
MATH 223 (Spring 2016)
Scholarly Contributions
Journals/Publications
 Gilbert, M. J. (2015). The fixed irreducible bridge ensemble for selfavoiding walks. Journal of Statistical Physics.
 Kennedy, T., Passon, S., Passon, S., Lawler, G. F., Gilbert, M., & Dyhr, B. (2011). The Selfavoiding Walk Spanning a Strip. Journal of Statistical Physics, 144(1), 122. doi:10.1007/s109550110258zMore infoWe review the existence of the infinite length selfavoiding walk in the half plane and its relationship to bridges. We prove that this probability measure is also given by the limit as β→βc− of the probability measure on all finite length walks ω with the probability of ω proportional to βω where ω is the number of steps in ω. (βc is the reciprocal of the connective constant.) The selfavoiding walk in a strip \(\{z : 0