Welcome to my homepage!

Selma Yildirim

Assistant Instructional Professor

5734 S University Ave

The University of Chicago

Chicago, IL 60637

Email: selma@uchicago.edu


Teaching in Autumn 2022:

MATH 183 - Mathematical Methods in the Physical Sciences I


Past Quarters:

Even though I occasionally brought my laptop to the classroom in my courses in Spring 2022, I have decided not to list these as Blended Synchronous Teaching.

MATH 184 - Mathematical Methods in the Physical Sciences II (Spring 2022)

MATH 201 - Mathematical Methods for Physical Sciences II (Spring 2022)

Hybrid or Blended Synchronous Teaching:

MATH 153 - Calculus III (Winter 2022)

(Most students attended in person, students staying at home joined classes on Zoom)

MATH 152 - Calculus II (Autumn 2021)

(Most students attended in person, remote students enrolled in the class and students staying at home joined classes on Zoom)


MATH 195 - Mathematical Methods for Social Sciences (Spring 2020,Autumn 2020)

MATH 201 - Mathematical Methods for Physical Sciences II (Autumn 2020, Winter 2021, Spring 2021)


MATH 195 - Mathematical Methods for Social Sciences (Autumn 2018, Winter 2019, Spring 2019, Autumn 2019)

MATH 196 - Linear Algebra (Winter 2019, Winter 2020)


Extra Credit Python Tutorials -- Introduction of Python coding in Mathematics courses

As part of an extra credit project, I prepared these tutorials for my students enrolled in Math 195 (Math Methods for Social Sciences)0 and Math 196 (Linear Algebra). The learning is measured by online quizzes posted on the class pages at CANVAS.

Github page for all the Tutorials 


Courses Taught Remotely at UChicago YSP Summer Program

I also taught a course remotely in YSP Program ( Young Scholars Program ) at UChicago in Summer 2021. This is a program for talented high school students who would like to explore more advanced topics in Mathematics.

The duration of the program was for four weeks and I shared responsibilities with another instructor. Several undergrad and recently graduated UChicago students helped us by actively working with students in Zoom breakout rooms.

The theme for this summer was Geometry and we decided to talk about topics at the intersection of Geometry and Linear Algebra. Besides teaching actively on Zoom, we created a curriculum taking students' level of knowledge into account.

Some activites and more content will be posted later on this webpage.

Publications / Submitted Papers and Preprints

1. Eigenvalue inequalities for Klein-Gordon operators, Journal of Functional Analysis, 256(12) (2009) 3977–3995 (with E. Harrell).

2. An Improvement to a Berezin-Li-Yau type inequality for the Klein-Gordon Operator, Proceedings of the American Mathematical Society, 138(11) (2010) 4059–4066.

3. Multidimensional lower bounds for the eigenvalues of Stokes and Dirichlet Laplacian operators, Journal of Mathematical Physics, 53(4) (2012) 043508 (with T. Yolcu).

4. Bounds for the eigenvalues of the fractional Laplacian, Reviews in Mathematical Physics, 24(3) (2012) 1250003 (with T. Yolcu).

5. Estimates for the sums of eigenvalues of the fractional Laplacian on a bounded domain, Communications in Contemporary Mathematics, 15(3) (2013) 1250048(with T. Yolcu) .

6. Heat trace of non-local operators, Journal of the London Mathematical Society, 87(1) (2013) 304–318 (with R. Banuelos).

7. Estimates on the eigenvalues of the clamped plate problem, Journal of Mathematical Physics, 54(4) (2013) 43515  (with T. Yolcu).

8. Eigenvalue bounds for the poly-harmonic operators, Illinois Journal of Mathematics 58(3) (2014)  (with T. Yolcu)

9. Sharper estimates on the eigenvalues of Dirichlet fractional Laplacian, Discrete and Continuous Dynamical Systems – Series A, 35(5) (2015) 2209– 2225.  (with T. Yolcu)

10. Refined Eigenvalue Bounds on the Dirichlet Fractional Laplacian, Journal of Mathematical Physics, 56 (2015) 073506  (with T. Yolcu).

11. Sharper estimates on the eigenvalues of the Dirichlet fractional Laplacian on a planar domain, Electronic Journal of Differential Equations, 2018 (165) (2018) 1–14  (with T. Yolcu).

12. Sharp Bounds for spectral functions of the Klein-Gordon operator, preprint (2010) (with L. Hermi).

Some Educational Resources

 Using Internet Resources to Enhance Students' Learning

Please click here to see some activities that I created by using some tools and internet resources.

 GeoGebra applets

Please click here for GeoGebra Applets that I created for my students.

 Some Useful Gradescope Practices

Please click here for some tips and practices when using Gradescope.

2018-2019 Data Science Projects Completed

1 Million Women to Tech , Winter of Data (January 14- April 7, 2019)

Datathon project: Global Gender Gap Report

(Jupyter notebook including Python codes)

Bertelsmann-Udacity Data Foundations Nanodegree Program (Certification Date: October 4, 2018)

Data Science Projects (Certification Date: October 4, 2018)


Projects completed using R (Statistics program)  -- will be posted soon

Projects completed using Python -- will be posted soon

The University of Chicago Department of Mathematics

Math Circles of Chicago

Association for Women in Mathematics