MAT 123A

Final Exam Information

Exam Dates:

Section 01 (12:30 class) Thursday, December 18^th 11:00 – 1:00 SB 305A

Section 02 (2:00 class) Wednesday, December 17^th 11:00 – 1:00 SB 305A

The exam will be similar in format to the two previous exams: closed book, closed notes, no calculators. The focus will be on solving problems and clearly explaining all solutions. A few “short answer” problems may be included, for example: Explain why division by zero is considered undefined.

Exam Material: Topic 1A (Logic – validity of arguments only) Omitted Sections

2.1, 2.3 1.1, 1.2

3.1, 3.2, 3.3 2.2 4.3 4.1, 4.2

5.1, 5.2

6.1, 6.2, 6.3

7.1, 7.2, 7.3, 7.4

8.1, 8.2

9.1, 9.2

11.1

Office hours for final exam week:

Monday, December 15^th 1:00 – 3:00

Tuesday, December 16^th 1:30 – 4:30

Wednesday, December 17^th 9:45 – 11:00, 1:30 – 2:30

Thursday, December 18^th 9:45 – 11:00

Other hours can be arranged by appointment.

Review problems: use the Review and Chapter Test sections of your textbook for additional problems.

1. Determine the validity of the following argument and justify your answer:

Some college students are history majors.

All history majors enjoy reading.

Sam is a college student who is not a history major.

Therefore, Sam does not enjoy reading.

2. Find the greatest common factor and least common multiple of 3549 and 2574.

3. Add .

4. At a storewide sale, one rack is marked 25% off. A coat on that rack has a sale price of $218. What was its original price?

5. Jessie was earning $520 / week. She got a 3.5% raise; what’s her new weekly salary?

6. If 3/5 of all students live off campus and there are 1875 students total, how many live off campus?

7. Suppose ¼ of all students in a class are math majors, 1/3 are art majors, 1/10 are anthropology majors and the rest are political science majors. If there are 60 students in the class, how many are in each major?

8. Suppose U = {a, b, c, d, e, f, g} is a universal set, and I = {a, e, f, g}, J = {a, b, c, d, e} and K = {d, e, g}. Find the following sets:

a.

b.

c.

d.

9. Is the set of real numbers closed under division? Why or why not?

10. Simplify the following expressions: a. b. c.

11. Name one property the set of rational numbers has that the set of integers does not. Explain.

12. Find three rational numbers between 1/3 and ½.

13. Find three irrational numbers between 5 and 6.

14. Add .

15. Subtract -.

16. Write the repeating decimal 3.4545454545………as a fraction.

17. Write two different descriptions of the set of rational numbers. Give an example of a number that is rational but not an integer. Give an example of a number that is not rational. Is there a number that is an integer but not rational? If so, give an example. If not, explain why not.

18. Suppose a card is drawn at random from a standard deck of 52 cards.

a. What is the probability that the card is red?

b. What is the probability the card is a face card?

c. What is the probability the card is a heart?

d. What is the probability the card is both a heart and a face card?