|
Structure:
The exam will consist of four sections.
| Section |
Question Style |
Percentage |
Question Parts |
|
I |
Computation (3 pts each) |
22% |
8 |
|
II |
Short Answer (3 pts each) |
42% |
15 |
|
III |
Extended Answer/Mini Essay (6 pts each) |
22% |
4 |
|
IV |
Proof (15 pts total) |
14% |
2 |
Sample Questions:
I. Express 2.34343434...
as a rational number. Compute 234five x 423five.
II. What is 3 /7 5 and why?
Give an example of a relation that is not transitive.
III. What are equivalence relations and why are
they important?
IV. Prove that the implicit and explicit definitions
of division in the rational numbers are equivalent.
Content/Concentration
| Topic |
Concentration |
| Logic |
3% |
| Sets |
6% |
| Operations |
18% |
| Relations |
8% |
| Functions |
8% |
| Numeration Systems |
25% |
| Number Systems |
20% |
| Number Theory |
9% |
| 7-clock system |
9% |
| Examples |
15% |
| Proofs |
15% |
Scale:
| Grade |
Score |
|
A |
>86 |
|
B |
71 - 85 |
|
C |
52 - 70 |
|
D |
40 - 51 |
|