I specialize in engineering subjects such as structural mechanics, dynamics, and vibrations. I also tutor linear algebra
, which are needed to understand finite element methods.
My tutoring style varies from student to student. In general, I try to make the best of your time by focusing on concepts that are crucial to your success. My lessons are broken into parts that are easy to understand. Please be aware that you will learn much more quickly when you begin by building a strong foundation; if you are thinking about tutoring throughout the semester, I urge you to invest time in understanding the basics.
I am a Mechanical EIT with 8+ years of teaching experience. I taught linear algebra
at MIT for its High School Summer Program. I worked as a science
instructor for the Newman School in Back Bay. I volunteered as an after-school math
tutor for a middle school in my hometown. Through tutoring students from local universities, I have become familiar with core classes taught at MIT, NEU, and BU. Please ask me about NEU civil engineering
classes: statics, structural analysis 1, and structural analysis 2.
I can reserve a quiet study room equipped with whiteboards for meeting near the Kendall/MIT red line stop. I am also available for online tutoring through Scribblar, an online whiteboard.
24 hours notice required
One hour charge applies to late cancellations or late rescheduling.
Travels within 2 miles of Cambridge, MA 02142
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