Teaching experience
As someone that enjoys helping others, I have naturally had numerous teaching and tutoring experiences, including official and semi-official ones as an assistant teacher in high-school and a math tutor at Columbia University. However, my most rewarding tutoring experience has come from helping my own siblings succeed in their SAT and AP tests. Sitting down with them everyday so that they can also get an 800 on the math section of the SAT and encouraging them to beat my score; it has been a journey. Though teaching all the tricks and besting the test together has been fun, the real delight of tutoring has come from knowing that this will make a real difference in my tutee's life. I hope that, with a little bit of guidance, they will get in to the colleges of their dreams and be on their way to becoming successful, self-sufficient, and happy people. I work hard during sessions because I am cognizant of this fact. Thus I am looking for students who will do the same, and allow me the joy of impacting their lives in the smallest of ways.
Extracurricular interests
Outside of school I great enjoy working out and playing basketball, football, soccer, and other sports with friends. Sports are a great way to collect one's thoughts and appreciate the present, while working for your future. Along with this, I enjoy escapades to spots of natural beauty whenever I can. Hiking, biking, and treks to lands least touched by our civilization has always been a favorite hobby of mine.
Being an astrophysicist, I naturally cannot keep myself from reading about astronomy and the universe we live in. Therefore sometimes my free time wades into my work time and vice-versa. I feel I am lucky to be in such a position.
Finally, if you enjoy music, we must talk. I am one of those people who always has some soulful melody playing in the background while I work, eat, relax, or pretty much do anything. The best way to find out about new music, and not have my collection get so repetitive is to talk to other aficionados.
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Pre-Calculus | |
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Pre-Calculus | |
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Calculus | This is a review for a written lesson. |
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Pre-Calculus |
Subject: Calculus
Someone asked:
In a murder investigation, the temperature of the body was 32°C at 1:30 PM and 30.3°C an hour later. Normal body temperature is 37°C and the temperature of the room was 20°C. When did the murder take place?
Emir responded:
This is a word question, which if they had given it to you in numbers(or "math",) you would be able to solve very easily. So let's tackle how to do the conversion first.
32°C-30.3°C/1hour=1.7°C/hour this is the rate of your decline in temperature. (But you can just think of it as a slope if that is easier!)
Now assuming this is a constant rate of decline/hr, (which is a good assumption unless this was a combined chemistry–calculus class...)
You simply need to work back from 32°C at 1:30pm to 37°C at Xtime. At this point, you can solve this with a calculator, but..
I promised to you this would be very easy if we converted it all into "math," so let's keep going. Our slope is -1.7 (negative because it is a decline) If we imagine the scenario as a graph, this would be a line, with a y intercept at (0,37), and a slope of -1.7
>> y=ax+b
>> y=-1.7x+37
What we want, is the amount of time that has passed since the body was at 37°C and arrived to 32°C at 1:30PM, or in "math" the x value corresponding to the y value of 32, in our equation/line above.
>> 32=-1.7x+37
>> x=(32-37)/-1.7 => x=2.94 hour (Which is also 176.4 min) or 2 hours and 56 min (24sec)
Then simply take away 2.94 hours from 1:30PM and you will get 10:34 AM (or more exactly 10:33:36, but this is too many significant digits..)
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