I am a 2014 graduate from Cornell University, where I majored in chemical engineering, and I am currently working for a pharmaceutical company as a member of one of their research labs. During my time in college, I developed a passion for teaching and had the good fortune to interact with younger students as a peer tutor, teaching assistant, and academic workshop instructor for various courses. Additionally, I have worked with high school students as an independent tutor for standardized test... [more]
For 4 semesters I was a peer tutor and academic workshop instructor through Cornell University's Department of Engineering. In these positions I interacted with freshmen students taking classes in integral and multivariable calculus. My personal background in mathematics includes AP-level work in high school, Cornell's engineering mathematics sequence (multivariable calculus, differential equations, linear algebra), and higher-level graduate coursework (computational calculus and statistics, applied mathematics, and calculus of variations). When teaching calculus to an individual student, I focus on connecting with that student's preferred learning style, whether they be a visual learner, verbal learner, etc. In my experience, students who struggle in math courses do so more often than not because their style of learning is disconnected from their teacher's style of instruction.
My educational background in physics ranges from algebra- and calculus-based general physics (mechanics, waves/acoustics, thermodynamics, electricity and magnetism, optics) to more sophisticated engineering coursework where these general topics are applied to specific systems of interest (statics and dynamics, fluid mechanics, thermodynamics and heat transfer, electromagnetism, electrical circuits). I have experience teaching calculus and differential equations as well, and would be happy to incorporate relevant math topics into tutoring sessions.
I have taken coursework dealing with both ordinary and partial differential equations in engineering and applied math contexts and am proficient in the following areas: Ordinary Differential Equations (ODEs): -1st/2nd order equations -Systems of ODEs -Numerical methods (Euler/Runge-Kutta methods, etc.) -Power series solutions Partial Differential Equations (PDEs): -Separation of variables -Fourier series -Eigenfunction expansions -Sturm-Liouville Theory -Green's functions -Similarity solutions Apart from an introductory sophomore-level course on differential equations, I have taken a graduate-level course on applied mathematics (mainly focusing on methods pertaining to PDEs), and several courses on fluid mechanics and related transport phenomena, all of which dealt with applying and solving PDEs. I have taught undergraduate calculus as a peer tutor and academic workshop instructor, and am well-versed in communicating topics in higher-level math to students with varied levels of experience.
For 5 semesters I was a Teaching Assistant for Cornell's Introduction to MATLAB course, which I took myself as a freshman. That course taught applications ranging from introductory topics (scripts, functions, conditional statements, for/while loops, vector/matrix operations) to more advanced material (image/video/sound processing, text file processing, recursion, sorting and searching algorithms, object oriented programming). As a TA I regularly interacted with students during computer lab sessions and during office hours to provide individual assistance. I later took advanced courses on MATLAB's mathematical capabilities, and am proficient in using the software for probability and statistics, numerical methods/numerical computation, calculus, linear algebra, and differential equations. Apart from coursework, I also participated in academic research labs where MATLAB was used extensively as a data analysis tool. In particular, I was able to apply much of my classroom knowledge to real-life problems of interest, particularly dealing with image processing and differential equations. Here I also learned how to supplement MATLAB's capabilities with additional software platforms such as Microsoft Excel and ImageJ.