CSC;Problem Set 0 Solution

In this problem set, you will type a document containing both text and mathematics. You are welcome

to use your favourite word processor, provided it can produce suitable symbols and align equations. You will need to dig through the instructions, or else look at another tool, for example:

Google docs equation editor: See Google Docs equations

L^AT_EX: See LATEXtutorial

1. Create a title for your document that shows the course code (CSC165H1), the phrase \Problem Set 0″, and the due date.

2. Create an unordered list, with bullet points, showing the courses you are taking this term. Please give the course number, title, and the name of your instructor for each course.

3. Let S1 be the set of all even positive integers, and S2 be the set of all integers less than 15. List all of the elements in the S1 n S2 using set notation (i.e., f: : : g).

4. Write down the truth table for the propositional formula ( p ^ q) ) s. There should be eight rows in your table (plus a header row).

5. Show the steps involved in isolating x in the following equation (assume n is positive). Do not just show the nal result: we’re looking for at least two or three steps here, to demonstrate that you can align the equal signs.

• ² = n^x

Remember that isolating a variable means rewriting an equation so that the variable appears on one side by itself, and no occurrences of that variable appear on the other.

Hint: divide both sides by nx or 3x. You might want to review logarithms if you get stuck here.