I took on an extra course this semester as part of a departmental overload.
This course uses a collection of online models courtesy of Math3D.
This course is completely online asynchronous to distance students. The course is an intermediary between undergraduate mathematics and graduate-level course work. The content exposes students to higher abstractions of concepts covered in a typical undergraduate education and expects a higher rigor of solutions than students are typically exposed to. The subjects covered in this course include but are not limited to linear algebra, advanced calculus, several variables calculus, and ordinary differential equations.
The link below is a playlist to the lecture videos for this course.
This was my first semester experiment with active learning strategies in the classroom. Students were constantly solving problems on the board and interacting with curated AI conversations. The students' overall sentiment was that AI was "kinda helpful," with which I concur. Here is a talk I gave at MathFest 2025 on the subject.
This course trains Ph.D. students to become recitation teaching assistants in engineering calculus courses while also preparing them for any teaching-focused or client-facing component of their future vocation. This year I began discussing artificial intelligence in the classroom - its positives and its negatives. Here is a project where students teach their peers as if they are recitation leaders in an engineering calculus course.
Hands-on, Grades Up sessions consist of active-learning structured activities dedicated to selected courses. Just as in athletic programs, the basic premise here is that to achieve success you need to learn by practicing exercises, discussing problems and unraveling the precise meaning of concepts and how they relate to the problems being solved and to applications.
The following hand-outs were used during the Fall 2024 semester.
This is a university orientation course for first-semester freshmen who declared a mathematics major at Texas A&M.
This course is intended as a second course in analysis, taken after a typical undergraduate course in real variables and before a measure theory course.
The link below is a playlist to the lecture videos for this course.
This course combines the theory of linear algebra with the application of the heat equation. A strong emphasis is placed on Fourier series for continuous functions. A selection of the notes for MATH-304 is used, on top of a few extra sections.
One of these two sections was taught online asynchronous.
One of these three sections was taught online asynchronous.
This course prepares graduate students for taking the qualfier exam for Real Analysis. Previous qualifying exams can be found on the Texas A&M Math Department website.
Below is my personal webpage set-up for this course.
This class runs on a mix of lecture and flipped-class teaching styles. You can find the videos giving the necessary examples this class will use below.
For these videos, I recommend the following regimen:
You are encouraged to take notes on this videos; from time to time you will be allowed to use them on assignments.
Supplemental examples videos were provided to students to make it a "half-flipped" classroom. An example is given below.