Conduct materials testing and analysis for wearable medical devices including physiological monitor and smart catheter using dedicated lab space to minimize weight of technologies and optimize usability, comfort, and efficiency for patients. Design and 3D print stand for circuit board and lid for culture dish to allow connections to appropriate wires for catheter system. Support lab operations by soldering circuit designs, performing chemical testing on custom biosensors, capturing confocal microscope images and evaluating their topography and measurements, and assisting in program debugging process for NFC communications.

Refine designs for wheel hub using Autodesk Fusion to reduce weight and enhance efficiency of vehicle’s steering system. Analyze vehicle dynamics using advanced mathematics and physics to predict car’s reaction to various forces and optimize track performance. Collaborate with team members and learn to operate various workshop machines to manufacture custom parts for competitive car.

Spearhead semester projects and competitions, such as building drones with certain operational requirements, by optimally applying concepts of creative modeling and manufacturing to gain hands-on experience in the mechanical design and construction process. Engage in workshops and seminars hosted by leading engineering firms such as Chrysler, IBM, and Harley Davidson to learn the technicals of mechanical engineering and to stay up-to-date on trends in the industry.

Work with professor on fixed point theory research to determine the conditions under which mean isometries of multi-index length 3 are necessarily isometries of the typical sense. Develop and apply mathematical models and code to examine restrictions on these mean isometry coefficients within bounded metric spaces in the cases of real and complex eigenvalues for a companion matrix. Rigorously prove conjectures and synthesize results for publication in mathematics research journal and presentation at conferences such as the Mathematical Association of America section meeting.

Reinforce course content by tailoring material to tutees’ learning styles in order to deepen student comprehension and engagement. Instill effective study skills in tutees by guiding them through available resources to build student independence and confidence. Prepare practice problems by anticipating tutee needs and targeting areas of struggle to improve student assignment performance.