I was raised in a family of educators and realized the joys of sharing knowledge with others at a young age. I started tutoring and assistant teaching in 8th grade. I continued in this pattern into my years at Northwestern University with the Center for Talent Development program. From my experiences, I understand that the learning process is a journey. As a tutor, my goal is to help my students discover the joy and power of mastering that journey. I specialize in tutoring all levels of... [more]
Algebra is about understanding a fundamental set of rules and applying to them to various problems. I had mastered these concepts before entering middle school and started tutoring my peers in 8th grade. I continued tutoring algebra through out high school. At Northwestern, I was a teacher assistant for several algebra classes taught through the Center for Talent Development program. I have a firm understanding of these concepts and know multiple ways to explain each of them. I can't wait to share my knowledge with you.
I received a 5 of both my AP calculus exams and tested into the honors calculus program at Northwestern. Calculus is yet another set of rules to memorize and the place where forgotten rules from trig and algebra 2 come back. However, these rules are not arbitrary and with the right approach can be understood.
My major, material science engineering, requires a strong understanding of physics. Thus I have taken multiple advanced levels of physics at the collegiate level. I am required to understand how structures on atomic, microscopic, and macroscopic levels interact with each other. These interactions can by physical, electrical, magnetic, or chemical in nature. I can calculate how an electron will pass through a electron microscope's lens, interact with the sample, and how the resulting signal change will be picked up by a detector. I can predict how a microflaw in a gear will effect the performance and lifetime. I can quantify the stress inside a truss and how much load it can bear.
Prealgebra is where students build the fundamental skills they need to succeed in latter subjects. When I tutor in this subject my goal is to help students identify the skills they have and the simplest form of the question being asked. By doing this, students will be able to rapidly and efficiently tackle problems.
To excell in trigonometry you can try to memorize over 50 different equations relating sine, cosine, and tangent. Or you can understand the form of approximately 10 of those equations and derive the rest. Trigonometry is about patterns and relationships of a small set of functions to each other. When I tutor or teach trigonometry I build upon those patterns so that students have less to memorize. Furthermore, a strong understanding of trig is essential to any student wishing to pursue a career in engineering or science. Our world operates in cyclic patterns described by these equations. I want to help my students have a strong foundations for the future problems they will solve.
As a part of my engineering courses I took several courses of statistics. Additionally I have tutored both high school and college students in their various statistic courses.
I am extremely proficient in mathematics, it was the first subject I enjoyed. Furthermore my time as Center for Talent Development gave me experience working with elementary school children. I understand how to break concepts into their most basic level and focus on teaching by patterns and repetition with these younger kids.
As an engineering student, I had to take several advanced math courses, including Discrete Math. In discrete we are interested in numbers and patterns that only have certain possible values, typically integers. We can explore the properties of integers and solve specific mapping of sets using rigorous logic and proofs. The main difficulties in this type of course are based in understanding the implications on logic for having a limited yet infinite set and choosing the appropriate proof to justify the problem.
As a an engineering student at Northwestern University I have taken and excelled in classes on ordinary differential equations and partial differential equations. Furthermore, most on my advanced science classes required a mastery of differential equations. Heat transfer, thermodynamics, kinetics, and quantum mechanics all require the use of differential equations.
I, like every engineering student at Northwestern, have taken Linear Algebra at the collegiate level. Proper understanding of linear algebra is a necessary skill for understanding any large system. Many programs, like python and MatLab, use the concepts of linear algebra in their core operations. To be prepared for these problems and to use these tools, and individual needs a strong foundation in linear algebra.
Every engineering student at Northwestern University is required to take MatLab in their first quarter. Students are then expected to regularly use MatLab in the following three quarters of that sequence. My average grade for the sequence was a A-, and I never received a grade lower than a B+. Furthermore, in my major, Material Science and Engineering, a MatLab project or assignment was included in the majority of my required classes to improved our proficiency and use of computational tools. I have a firm belief that the future of all engineering endeavors requires the use and development of strong computational tools and MatLab is one of those tools.