Final Exam for Math 37:

Monday December 14 at 10:40 am to 1:15 p.m in the same room.

If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is.  ~John Louis von Neumann

Mathematics are well and good but nature keeps dragging us around by the nose.  ~Albert Einstein
 

Arithmetic is where numbers fly like pigeons in and out of your head.  ~Carl Sandburg, "Arithmetic"
 

So if a man's wit be wandering, let him study the mathematics; for in demonstrations, if his wit be called away never so little, he must begin again.  ~Francis Bacon, "Of Studies"
 

 The essence of mathematics is not to make simple things complicated, but to make complicated things simple.  ~S. Gudder

Halmos, Paul R.

I Want to be a Mathematician, Washington: MAA Spectrum, 1985.

Don't just read it; fight it! Ask your own questions, look for your own examples, discover your own proofs. Is the hypothesis necessary? Is the converse true? What happens in the classical special case? What about the degenerate cases? Where does the proof use the hypothesis?
I Want to be a Mathematician, Washington: MAA Spectrum, 1985.

Hardy, Godfrey H. (1877 - 1947)

[On Ramanujan]
I remember once going to see him when he was lying ill at Putney. I had ridden in taxi cab number 1729 and remarked that the number seemed to me rather a dull one, and that I hoped it was not an unfavorable omen. "No," he replied, "it is a very interesting number; it is the smallest number expressible as the sum of two cubes in two different ways."
Ramanujan, London: Cambridge Univesity Press, 1940.

Reductio ad absurdum, which Euclid loved so much, is one of a mathematician's finest weapons. It is a far finer gambit than any chess play: a chess player may offer the sacrifice of a pawn or even a piece, but a mathematician offers the game.
A Mathematician's Apology, London, Cambridge University Press, 1941.

I am interested in mathematics only as a creative art.
A Mathematician's Apology, London, Cambridge University Press, 1941.

  Niels Bohr 

Profession: physicist. Born 1885, Copenhagen, Denmark. Died 1962, Copenhagen, Denmark.

Hi Class:

The DLAs are due on December 2, 2009.  Anyone who turn in the DLAs early will get 2 extra points.

For those of you who are absent, I distribute the weekly practice sheet on Wednesday in class.  If you need those practice sheet now, please email me and I will send you the practice problems via email.  

Hello Class:

Please remember to complete your DLAs and have a nice weekend.

They are due Wednesday on December 2.  There will be no DLA on the final week.  Therefore, complete them as soon as possible no exception.

Study guide for Chapter 7 Exam:

1. Logic:  propositions, and statement, or statement, make sure you know the truth table for each of the statements.  The converse, contrapositive statement, logical implication, logical equivalence statement.

2. When are the statement a : tautology, contradiction, contingency?

3. What is/are

a)      Set

b)      Elements

c)      Empty set

d)      Subset of

e)      Union of a set

f)        Intersection of a set

g)      Venn Diagram

h)      Disjoint

i)        Complement

4. Factorial, permutation, combination.  Study various examples given in class, and the questions from the homework sets.

October 21:

Note on permutation, combination, factorial, and examples on those topic and completion of ch 7.3 and 7.4.

October 26:  Questions and answers and review for exam 3.

October 28: Flex Day.  

No School.

Exam3: November2.

1. not real

2. irrational

3. irrational

4. c = square root of 89

5. y = square root of 95

6. -4

7. -10

8. 5d¹⁰ (square root of 2)  

9.  (square root of 14) / z⁶

10. 2⁶ / 3² 

*Note the distinction between square root of and square of *

For Question: 82:

Answer: 700

Question 81:

Answer: 200

Determine if the following is rational or irrational:

For questions 1, 2, 3 do the following:

pg. 556.  48 45 50

4. Do pg 557  #75                   5. Do pg 557. # 76

Find each root:

6. do pg 558 # 106

7. do pg 558 #108

Simplify:

8. do pg 565 #74. 

9. do pg 565 #86 

10. 10. do pg 565 #62 

1. 2a² b / 3

2.  q²+1  /  q²+4

3. -m / m+2

4. 4r² -16  /  (5r+12)(r-1)

5.  8/5

7.  -10, 3

8. 0

9. dn(a+l) / 2

10. p= (-4s)/ 3(2+st)

11. x=8 mph

12. 4.42 hrs.