I am a college level math and engineering tutor, and as such have been working part-time for a local community college for about 8 years. In addition to my time at college, I have been private tutoring students (of several ages) for over 10 years.
As of now, I hold 2 associate degrees--one for mechanical engineering and the other in math. The plan is to finish my engineering degree, but as an out of state transfer. So, while this entire process has been time consuming and without complication, I, in the meantime continue to enjoy helping as many as possible reach their goals and achieve greater levels of thinking--be it math, engineering, or even physics.
The more popular math subjects I run across are: precalculus (algebra and trig.) through calculus 2. Though, this is not to say I cannot help with higher requests. Calculus 3 and ordinary diff. eq. are two other subjects I have experienced for years as well.
As for engineering subjects go, mechanics tend to be inquired upon the most by students, such as: statics, strength of materials, and dynamics. However, I also tutor a lot of thermodynamics too!
My tutoring style, or how I operate my sessions, mostly depends on the needs of each student. Though ultimately, I feel my job is to do whatever is needed to guide each student in ways specific to their studies. What I also feel separates me from other educators, is my level of flexibility being multi-faceted through the likes of math, engineering, and physics. Having the ability to cross connect these fields in a more fluid like manner can be more motivating for learning the types of math applied throughout curriculums.
Nevertheless, no matter who I work with I always hold myself responsible by ensuring one's own education. Thus, my intention regardless, is to reassure a greater measure for success moving forward, as well as an immediate increase in one's confidence.