I first took calculus my sophomore year in high school, and finished calc III my senior year. I absolutely love it and find it fascinating, and I hope I can share my wonder with you. In addition to a strong background in calculus, I have also had the opportunity to tutor calc I in college.
Equations of one or several variables which are functions of both the variables and their derivatives of various orders. Includes homogenous and non-homogenous, linear and occasional non-linear equations, as well as systems of equations.
I first took differential equations in high-school (2007), and have been dealing with them since. Differential equations arise often in engineering applications, so I have familiarity with them in concrete situations as well as purely mathematical. Most recently, my master's thesis was centered on solving systems of non-homogenous differential equations. While most of my DE experience has been ordinary DEs, I also have some experience with partial DEs.
While still analytical, this is a completely different experience from algebra. I have taken two geometry classes: the classic high-school variety, and a course in college which split the focus between non-euclidean geometry and constructions. I very much enjoy this break from algebra, and constructions in particular are quite fun!
I fist encountered linear algebra with my first differential equations course (2007). Not much linear algebra was taught, but the basics were covered. I then took a linear algebra course in college (2008), and many of my classes in college involved aspects of linear algebra, including solving simultaneous equations and matrix math. Linear algebra was also an integral part of my master's thesis, which involved simultaneous differential equations. It is possible to take these equations and employ the methods of linear algebra to help solve them.
My first introduction to logic in a math sense was in my first abstract algebra class in college (2008). We covered all the above subjects in relation to logic. I took another abstract algebra course in grad school (2012) and covered all the same topics in more depth. In addition, I have been programming (mostly in Matlab), which involves using some of these logic subjects (mostly Boolean and some prepositional).
A programming environment which is built mainly for math and science applications, specifically matrix manipulations.
I have been using Matlab for over 4 years. I was first introduced to Matlab in an engineering numerical methods class in college (2008). I took a couple other classes in my undergraduate work which used Matlab. My main experience in Matlab came from my graduate work. Most of my graduate classes relied heavily on Matlab, so I was working with it several hours a week for classwork. Also, my thesis work relied extensively on Matlab, so I used it several hours a week for 8 months working on that.
While there are innumerable applications for Matlab, my experience is with math applications and simulating physical events.
Statics, dynamics, thermodynamics, aerodynamics, structural mechanics, heat and mass transfer, elementary circuits, propulsion, numerical methods.
I have been through all these courses, many of them on multiple levels. I have a B.S. (2011) and M.S. (2012) in mechanical/aerospace engineering.
I first took physics as a junior in high school and haven't really stopped since. After taking AP physics my senior year in high school I chose mechanical engineering as my college path, so the physics just kept on coming. As a mechanical engineer, most of my experience in physics is with mechanics; however, I also have some experience with electricity and magnetism.