Teaching & Mentoring
Teaching at the University of South Florida
Fall 2025 MAT 6932 Introduction to Smooth Manifolds (Graduate topics course).
Spring 2025 MTG 6317 Topology II (Graduate course): Munkres part of Chapter 11, Hatcher Chapters 0, 1 and 2, Munkres Section 77.
Fall 2024 MTG 5316 Topology I (Graduate course): Munkres Chapters 2, 3, part of 4, 9.
Teaching at the University of Arkansas - Instructor
Spring 2024 MATH 3113 Abstract Algebra I and MATH 3083 Linear Algebra.
Fall 2023 MATH 3083 Linear Algebra and MATH 2603 Discrete Mathematics.
Summer 2023 MATH679V Topics in Topology: Introduction to 4-manifolds, Complex Surfaces and Algebraic Varieties (Graduate course)
Spring, Fall 2022, Spring 2023 MATH 3083 Linear Algebra (2 sections each semester).
Fall 2020, Spring, Summer, Fall 2021 Math 2584C Elementary Differential Equations (2 sections each semester except the Summer term, summer teaching is optional at Uark).
Mentoring
Problem Session Mentor at MSRI Graduate Student Summer School - Gauge Theory in Geometry and Topology, July 05 - July 16, 2021.
Graduate Reading Courses, July 2023 (co-organized with J. Van Horn-Morris), and Fall 2023.
MATH400V Undergraduate Directed Readings, 2023: Introduction to Topological Manifolds and Differential Topology. References: J. M. Lee, Introduction to Topological Manifolds and V. Guillemin and A. Pollack, Differential Topology.
Mentor at 2023 REU in Geometry and Topology at UCLA, resulted in the following paper:
M. Huang, Z. Li, R. Tanaz, C. Zhang, Positive 2-bridge knots and chirally cosmetic surgeries (arXiv).
Teaching at the University of Minnesota - TA & Instructor
Summer 2018 Math 2243 Linear Algebra and Differential Equations, Lecture 002 (As instructor.) Link to Canvas
Spring 2018 MATH 2574H Honors Calculus IV (Honors, Differential Equations and Linear Algebra) Sections 11 & 14.
Fall 2017 Math 2573H Honors Calculus III (Honors, Multivariable Calculus!), Sections 12 & 15.
Spring 2017 Math 2283, Sections 11 & 12.
Fall 2016 Math 1572H Honors Calculus II (Honors, Calculus with Analytic Geometry), Sections 11 & 12.
Spring 2016 Math 2283 Sequences Series and Foundations, Sections 11 & 12.
Fall 2015 Math 1241 Calculus and dynamical systems in biology, Sections 13 & 15.
Spring 2015 Math 3283W, Section 14.
Fall 2014 Math 3283W Sequences Series and Foundations: Writing Intensive, Section 12.
Spring 2014 Math 2374, Section 21.
Fall 2013 Math 2374 CSE Multivariable Calculus, Sections 21 & 22.
Fall 2012 Math 1271 CLA Calculus I, Sections 23 & 25.
Some comments of my students at the University of Minnesota from the teaching evaluation forms:
“Sumeyra went above and beyond for this class.”
“She answers questions calmly and thoroughly and makes sure that everyone understood her steps.”
“I enjoy the environment you make in class, makes it easy to pay attention.”
“She does a great job of explaining things in a different way when students don’t understand."
"Teaches at a good pace and makes me feel respected when I ask questions."
Question: “List at least one thing that your instructor needs to improve to help you learn better in the class.”
Answer: “Nothing comes to mind; I’ve been very impressed.”
Another answer: “Can’t think of anything!”
"She always went over examples very clearly and was open to questions. She also provided lots of practice problems/worksheets in case we needed extra practice. She also reviewed the main theorems and some proofs which was really helpful. Overall, one of the best instructors I've ever had."
"Sumeyra has a really clear logic in presenting all the steps, which is easy to follow."
"Wonderful instructor. Really helped me learn the course material."
"She takes a systematic approach to problem solving which is helpful when learning problem solving strategies of our own."
"She was a very good TA and I'm glad to of had her."
Teaching at Koc University - TA
Spring 2012 Advanced Calculus.
Fall 2011 Abstract Algebra.
Spring 2011 Calculus II.
Fall 2010 Calculus I.