My office hours for the Fall 2022 semester are as follows:
- Wednesdays and Fridays, 1:25–2:20 p.m.
- Tuesdays, 1:30–2:30 p.m.
Here is the current version of my Statement of Teaching Philosophy.
Here are some lecture notes from the last time that I taught abstract algebra. I am still hoping to further update them someday, but this is the most recent version.
Here are some lecture notes from my graduate-level analysis sequence. They cover selected topics in advanced real analysis (e.g. metric spaces and sequences and series of functions), Lebesgue measure and integration, and some elements of functional analysis. They continue to be updated.
Awards
In April 2018, I received a Teaching and Learning Award from the UT Tyler Center for
Excellence in Teaching and Learning. This award will support my efforts to revamp Caclulus
I and II by using a partially flipped classroom.
In April 2017, I was honored to receive the inaugural Faculty Teaching Award from the UT Tyler
Mathematics Department.
In November 2013, I was the recipient of the Kenneth P. Bogart Teaching Award, which is
given out annually by the Dartmouth Mathematics Department. It is given to the graduate
student entering their final year who best exemplifies outstanding dedication to and
excellence in advancing the educational mission of the department.
In April 2012, I was recognized by the Dartmouth Center for the Advancement of Learning
(DCAL) as an "Outstanding Graduate Student Teacher from an Undergraduate Perspective" for
my work in Math 1 (Calculus with Algebra).
Courses Taught
UT Tyler.
Starting with the Fall 2017 semester, all course documents can be found on
Canvas.
Previous courses were hosted on Blackboard, which is no longer active at UT Tyler.
- Math 3425 – Foundations of Mathematics
- Math 4160/1 – Senior Seminar I/II
- Math 5341 – Real Analysis I
- Math 3404 – Multivariate Calculus
- Math 4160/1 – Senior Seminar I/II
- Math 3404 – Multivariate Calculus
- Math 4342 – Introduction to Complex Variables
- Math 2312 – Precalculus
- Math 4341 – Real Analysis II
- Math 2312 – Precalculus
- Math 3305 – Ordinary Differential Equations
- Math 3305 – Ordinary Differential Equations
- Math 5333 – Topics in Algebra
- Math 3305 – Ordinary Differential Equations
- Math 5331 – Algebra I
- Math 2414 – Calculus II
- Math 2414 – Calculus II
- Math 5342 – Real Analysis II
- Math 3404 – Honors Multivariate Calculus
- Math 4160/1 – Senior Seminar I/II
- Math 5341 – Real Analysis I
- Math 2414 – Calculus II
- Hnrs 2414 – Honors Calculus II
- Math 5391 – Selected Topics in Mathematics (Differential Topology)
- Math 2413 – Calculus I
- Hnrs 2413 – Honors Calculus I
- Math 2414 – Calculus II
- Math 5343 – Topics in Real Analysis
- Math 2413 – Calculus I
- Math 4160/1 – Senior Seminar I/II
- Math 5341 – Real Analysis
- Math 2413 – Calculus I
- Math 4342 – Introduction to Complex Variables
- Math 3305 – Ordinary Differential Equations
- Math 3345 – Analysis I
- Math 2414 – Calculus II
- Math 2312 – Precalculus
- Math 2414 – Calculus II
- Math 2413 – Calculus I
- Math 3305 – Ordinary Differential Equations
- Math 3202 – Matrix Methods in Science and Engineering
Dartmouth College.
This is an introductory course in abstract algebra. It generally covers basic group theory
and some ring and field theory. Dartmouth students often encounter proofs for the first time
here.
- Course webpage: http://www.math.dartmouth.edu/~m31x13
- Course webpage: http://www.math.dartmouth.edu/~m31x12
This course provides an introduction to calculus for freshmen who may lack a solid background in algebra and trigonometry. It covers some concepts from precalculus (namely exponential, logarithmic, and trigonometric functions), limits, continuity, and differential calculus. Integral calculus is covered the following term in Math 2. I co-taught this class with Seth Harris, so many of the course materials are joint work.
- Course webpage: http://www.math.dartmouth.edu/~m1f11