Assignment 10/1:  due Thursday 10/3 at 5 PM

Turn in individual solutions. You may work together in solving the problems, or get help from others, but the final write-up should be your own. Do not turn in anything you cannot explain completely.

Calculus Section 25 # 8c 8f 8i 9d 9e 9h 10b 10d
                Section 26 #8c 8f 8h 9a 9c 9e 9i 11b 11e 11i 18 25
                Section 28 #10 11 19 20

Assignment 10/2:  due Monday 10/7 at 5 PM

Turn in individual solutions. You may work together in solving the problems, or get help from others, but the final write-up should be your own. Do not turn in anything you cannot explain completely.

Calculus  Section 29 # 10 11 12b 12f 12n 14 (but use mathematica or your calculator for the integral evaluation here)
                Section 30 #14a, 14b, 16 27 30 34 35 47 
                Section 31 #14 21

Assignment 10/7:  due Wednesday 10/9 by 5 PM

Individual solutions, as usual. 

Calculus  Turn this into the green drop box
                Section 59 # 39a 39b 39c 39e 39f, 41 (as examples, just look at 4, 6, 21, 22)
                Section 31 #16, 18, 21, 28
                Section 32 Trig integrals: #31, 32, 38, 48, 49, 52, Trig Sub: #59, 61, 63 

Chaos      Turn this part in to me or to my office.
                Turn the answers to the questions on Monday's handout (on countable sets, and fractal dimension)

Assignment 10/9:  due Monday 10/14 by 5 PM

Individual solutions, as usual. 

Calculus  Turn this into the green drop box
                Chapter 33 (correction: not 34) # 8 13 18: Use Mathematica's Apart[ ] command. E.g. Apart[ 1/(x^2-1)] =1/2(x-1)-1/2(x+1). Then integrate the result (calculate this part yourself)
                Chapter 35 # 17a 17c 17d 20c 23 26b 26c 27a 27b
                Don't turn these in: Just make sure you understand them. Chapter 42 #1d 1e 1f 2a 2b 2c 
                Note: Chapter 44 and 45 are due on Wednesday

Chaos/infinity: Look at the Stanislaw Lem story and asnwer the following
                Question One: In the first one hundred rooms of  the Hotel Cosmos, how many are empty in 
                a) Ion's correction using prime powers for the bookkeepers multiple bunking solution?
                b) The directors method with powers of twos and threes?
                 Question Two: Consider the President of the Academy of Mathematics in the galaxy Swan's solution.
                a) If a guest was in hotel 156 and room 48, where will the guest be placed when the infinite number of hotels are combined? 
                b) Suppose a guest arrives from one of the closed hotels and checks in with everyone else from the 
                    infinite number of closing hotels, and is placed in room 763.  What hotel and room number did the
                    guest come from?

Assignment 10/11:  due Wednesday 10/16 by 5 PM

Individual solutions, as usual. 

Calculus  Turn this into the green drop box
                Chapter 44: # 15 21 29 36 51
                Chapter 45: # 24 33 36 45 46 47 (show the test and the steps involved for each problem). 
                Chapter 46: #26 30 
                Chapter 47: #12 15 16 18 (but do #18 to 5 d.p.)
                First three non-zero terms in the binomial expansion of a)  (1+x)^(1/5)   and b)  (1-x^3)^(-1/2)

Turn this part in to me: 
                Complex Number Handout:    1a,b,c,f     5a,b,h   6b,d 

HW6 Assignment 10/16:  due Monday 10/21 by 5 PM

Individual solutions, as usual. 

Calculus  Turn this into the green drop box
                Chapter 37: # 7 10 18
    

Turn this part in to me: 
                Newton's method additional exercise - click here (to be carried out in pairs). 
                Julia Set problem. In the case that s = 3, give an analysis of the real points (x + 0 i) which are in the Julia set Jc where c is related to s by c = s/2 - s^2/4. Can you determine all such points?