EETS 7303 Fiber Optic Telecommunications
and
EE 8391 Optical Fiber Communications
Fall 2002
Homework Assignment #1
(assignments due one week after received)
1. On a separate page, please provide a brief biography and include the following information: major, degrees, present job (which can be "student"), and career plans. Have you had a course in calculus? Where are you from and what are your future plans? What would you like to get out of this course--or why you are taking this course? Include anything else that you would like to tell me. In addition to handing in your bio with this assignment, email your bio to me at gae@engr.smu.edu.
In the past, there have been students in this class who have been out of school for several years, who have had business or law backgrounds, or for whatever reasons have been away from daily use of mathematics. The following problems are meant to re-familiarize all of the EETS 7303 students with trigonometric functions and taking the derivative of a function such as x3. If you feel that you need more review of this type of material, let me know and I can have a ÒMath ReviewÓ videotape sent to you.
1. Evaluate the sin of the following angles (which are given in degrees): 0, 10, 20, 30, 40, 45, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360 You can use a calculator (or a computer program) to evaluate sin(
q).2. Plot the results of problem 1. That is, plot sin (
q) as a function of q for values of the q between 0 and 360¡.3. Evaluate the cos of the following angles (which are given in degrees): 0, 10, 20, 30, 40, 45, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360. Use a calculator to evaluate sin(
q).4. Plot the results of problem 3. That is, plot cos(
q) as a function of q for values of the q between 0 and 360¡.5. Evaluate the tangent of the following angles (which are given in degrees): 0, 10, 20, 30, 40, 45, 50, 60, 70, 80, 85, 87, 89, 89.999, 90, 90.001, 91, 93, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180,200, 240, 280, 320, and 360. You can use a calculator (or a computer program) to evaluate tangent (
q).6. Plot the results of problem 5. That is, plot tan(
q) as a function of q, for values of the q between 0 and 360¡.
8. Evaluate the sin of the following angles (which are given in radians): 0,
p/16, p/10, p/8, p/4, p/2, 3p/4, p, 5p/4, 6p/4, 7p/4, and 2p.9. Plot the results of problem 8. That is, plot sin (
q) as a function of q for values of the q between 0 and 2p.10. How many radians is 20 degrees?
11. How many degrees are 1.3 radians?
12. On the graph below, sketch the slope of the function f(x) at points x
1, x2, and x3.
13. What is the derivative of f(x) if
a) f(x) = x2
b) f(x) = 4x3
c) f(x) = axn