I tutor mechanical engineering
subjects such as statics, strength of materials, structural analysis, and vibrations. I can also help with linear algebra
and multivariable calculus
, which are needed to understand finite element analysis.
I believe in building a strong conceptual foundation. I have seen a small investment
of time into mastering the basics make learning throughout the semester exponentially faster, easier, and rewarding.
I graduated from MIT with an SB in Civil Engineering
, and I am a mechanical EIT with lots of teaching and tutoring experience. I taught linear algebra
for MIT's high school summer program; I worked as a science
instructor at the Newman School in Back Bay; and I have been tutoring BU, MIT, and NEU students for the last five years.
I would be happy to meet you in a public space at your apartment. I could also reserve a quiet study room at an MIT library near the Kendall/MIT red line stop.
A few years ago, I quit my job as an engineer in order to pursue my interest in traditional furniture making. In my spare time, I enjoy recreational flying as a private pilot and fixing up my ever-ailing vintage car. I am also an avid roadtripper, who likes exploring the once wild west.
24 hours notice required
One hour charge applies to late cancellations or late rescheduling.
Travels within 5 miles of Cambridge, MA 02139
Tutors have the ability to create educational resources and share them with the WyzAnt community.
Here are some of the resources created by Emma.
View all of Emma’s resources
You can begin both problems by replacing 314 with its modular 7 representation:
314^163 = 6^163 mod 7
Note how powers of 6 repeat cyclically in the modular 7 number system:
6^1 = 6 mod 7
6^2 = 1 mod 7
6^3 = 6 mod...
The only numbers that square to one are 1 and -1.
1 = 1 x 1
1 = (-1) x (-1)
So since (tan x) squares to one, (tan x) must be 1 or -1. There are two values of x in the interval [0, pi] that make it happen.
tan (pi/4) = 1
tan (3*pi/4) = -1
The typical way to evaluate 67 x 436 is by multiplying and adding: (60 + 7) x 436. Usually this is written as:
3052 = 436 x 7
+ 26160 = 436 x 60