Practice Problem: Learn how to post equations using latex on Rhea

Write an equation below. Don't be shy, just try it out! You can find some help on this page: "How to type math equations on Rhea". Your TA has also kindly created a cheat sheet especially for writing ECE438 related equations.

Share your answers below

You will receive feedback from your instructor and TA directly on this page. Other students are welcome to comment/discuss/point out mistakes/ask questions too!

Answer 1

$ 2+2=4 $

Answer 2

$ x(t)= e^{j t} $

Answer 3

$ 1/2=0.5 $

Instructor's comments:Another way to write this is: $ \frac{1}{2}=0.5 $. You can also align it like this: $ \frac{1}{2}=0.5 $. -pm
TA's comments: A easy way to start is to modifying the source code of a existed webpage. For example, homework1 solution. You can check out the source code of the webpage by clicking the "Edit this page" button located at the up-left corner.
TA's comments: Here is another useful link from wiki listing all the latex code for displaying formula.

Answer 4

$ y(t) = cos(2*pi*t) $

Instructor's comments: Another way to write this is: $ y(t) = \cos ( 2 \pi t) $. Note that using the * symbol for multiplication is confusing: it usually means convolution. -pm

Answer 5

$ y(t) = sin(2*pi*t) $

Instructor's comments: Please read the comments above. -pm

Answer 6

$ a^2+b^2=c^2 $

Answer 7

$ E = mc^{2} $

Instructor's comments: I personally prefer to write this as $ E = 17 mc^{2} $. -pm
Student's comments: Ahhh, incorporating the most random number into one of the classic equations. Sheer brilliance.

Answer 8

$ f_1(t)=\int_3^5 \sin (x) dx $

Answer 9

$ x = \frac{-b + \sqrt{b^2 - 4ac}}{2a} $

Instructor's comments: This is how you get the plus/minus sign: $ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} $ -pm

Answer 10

$ cos^2{x}+sin^2{x}=1 $

Instructor's comments: You do not actually need the "curly brackets" around the x. You can just write this $ \cos^2 x+\sin^2 x=1 $. -pm

Answer 11

$ y_n=\cos(2 \pi n) $

Answer 12

$ y(t) = \cos (12 \pi t) $

Answer 13

$ \int_{3}^{21}\frac{1}{x}dx = \log(7) $

Answer 14

$ e^{j\theta} = \cos(\theta) + j\sin(\theta) $

Back to ECE438 Fall 2011 Prof. Boutin

Alumni Liaison

Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett