Assignment 1:
Read Chapter 1 and the Guidlines for Written Work.
Do (for Wednesday):
Chapter 1: 1(a), 3, 5 (See the comments on the bottom of p. 11)

Assignment 2:
Read Chapter 2.
Do (for Friday):
1.  Grade your work on Assignment 1.  The solution, together with grading instructions, is posted at

http://www.math.purdue.edu/~rcp/MA301.html/MA301Sol1.pdf

You will be graded on how many of your mistakes you find.  
The grade you give yourself will not be recorded.

Also do:

Chapter 1: 1(b), 11(b) [Hint:  From Example 6, 
we know that 2*2=4], 12 (b),(c)

Chapter 2: 1(a), 6(a)

In doing inequality problems, you should quote the 
relevant inequality axioms in use, (I1-I4)
but you need not quote any of the axioms or 
properties from Chapter 1.

Assignment 3: (Due. Friday, Jan. 20.)

Chapter 1, page 16: 12(d),13(a), (b)

Chapter 2, page 27:  1(c) (Note: ln x is defined only if x>0),
1(d)

Assignment 4:(Due. Monday, Jan. 24.)


Chapter 2, page 26:  1(g), 6(b), 9(ii): 

Chapter 3, Suplimentary exercises 
(http://www.math.purdue.edu/~rcp/MA301Ch3Exer.pdf): 
1(a), (e)

Also do:

E1: Solve the inequality x^2/(x+1)<x+1


Assignment 5:

Read p. 31-36

Chapter 2, page 26, 9(iii)

Chapter 3, Suplimentary exercises 
(http://www.math.purdue.edu/~rcp/MA301Ch3Exer.pdf):

1(f), (k), (l)

Assignment 6:

Read p. 36-38, p. 45-53.
`

Chapter 3, page 42:  DON'T DO PART (iii) on any of these!  2(a), 2(b), 2(c), 6 (a), 8(a)

Chapter 4, p. 60 2a, 2b

Assignment 7:

Read p. 45-60

Chapter 3, page 42: 2(e), 2(f), 2(g), 6(c), 8(c), 15(a)

Chapter 4, page 60:  2(c), 11(f)

Assignment 8:


Chapter 3, page 42: 15(b) ( Hint: ln y<y), 15(c), 


Chapter 4, page 60:  2(f), 11(e), 14(b)


Assignment 9:


Chapter 4, page 60:  1, 14(a)

Chapter 5, p. 72 3(a)

Chapter 6, p. 80 1(a), 2(a)


Assignment 10:


Chapter 4, page 60:  14(d)

Chapter 6, p. 80 1(b),(h),(k), 2(b), (h), (k)


Assignment 11:


Chapter 4, page 60:  14(c)

Chapter 6, p. 80 1(n), 2(n)

Also:  Find sup, inf, max, min for {(n-1)/(n^2+5)| n in N}
 AND PROVE YOUR ANSWER
 
Hint:  In the proof of the upper bound, you will
discover that you need to prove n^2-7n+12>=0.  Factor
this polynomial and determine when it can be negative.

Assignment 12:


Chapter 6, p. 83, 14 (Yes, only one problem.) Hint: Ignore the hints!

Assignment 13:

Chapter 6, p. 83, 15, 16 (I recently made some corrections to this exercise
which may be found on the last page of the latest version of the notes on the
web page.)

Chapter 7:  Read p. 85-91
p. 101, 2, 5(a) (I recently made some corrections to the figure for this exercise
which may be found on p. 103 of the latest version of the notes on the
web page.)

Assignment 14:


Chapter 7:
Read p. 97-98 from just above formula (13) to Theorem 7.

p. 103, 5(b), 12 (You must first prove convergence), 23 


Assignment 15:



Chapter 7:
Read from Example 3 on p.92 to Theorem 4.

p. 103, 7(a),(c) (Reason as in Example 3), 24, 27(a), (b)


Assignment 16:

Chapter 8:

Read p. 111-115, up to Example 2.

p. 103, 3(a), (c), (k), 20 (Hint:  In the integral, let u=ln x), 
27(c), (d)  Please also read the material on p. 109.

p. 118, 1(a), (c), (e)

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Assignment 17:


Chapter 8:


p. 118,

1(b), (d), (f), 2(b), (d), (f), 3(e) (No proofs-but do give explanations. See Example 3, p. 117.)

FYI The answers to the last assignment were p. 118 1(a)C, (c) D, (e) AC




Assignment 18: (Due: Wednesday, March 22.)


Chapter 8:


p. 118,

1(g), (j), (k), 2(g), (j), (k), 3(g), (j), (k), (No proofs-but do give explanations.), 12



Assignment 19:


Chapter 8:

p. 118,

4 (a), (f) (No proofs-but do give explanations.), 13

Chapter 9:

Read p. 121-124

p. 122, 1(a), 7(a), 11(b), 


Assignment 20:


Chapter 8:

p. 118

14

Chapter 9:

p. 133, 7(b), 10(b), 13(a), 14


Assignment 21:


Chapter 9:

p. 133, 8(a), (b), 10(c), 18(a), (b), (c), 20(a)



Assignment 22:


Chapter 9:

p. 133, 8(c),10(f)  Hint on (f): Let x=sqrt(2)+sqrt(3) and assume that x is
rational.  Hence x^2 is rational.  Use this to prove that sqrt(6) is  rational.  Hence 
y=x*sqrt(6)=2sqrt(3)+3sqrt(2) is rational. So?

19(a), (b), 20(b), (c)  (Hint: I did (b) in class)

Chapter 10:

Read p. 141-144

p.  152. 3(iii)  (Only do part (b))

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Assignment 23:


p. 133, 8(d), 9,

p. 152, 6(c), (g), (i)



Assignment 24:


p. 137, 21, 22(a), (b)

p. 152, 6(d), (l), 9(a)




Assignment 25:


p. 152, 6(i), (k), 9(f)


Assignment 26:

Read p. 159-164


p. 171, 2 (Hint: You can use L'Hopital's rule ), 5, 6, 8(a)


Assignment 27:


p. 171, 3, 4, 7, 13 


Assignment 28:


p. 171, 10, 14,  17 Additional hint: By dividing by a, you can assume that a=1. 27


Assignment 29:


p. 171,  15,  18 (no proof), 20, 21 (In the hint,  g=f^-1) , 28

p. 194 4(a)


Assignment 30:


p. 171,  29

p. 194 4(b), (c), (d), 6, 7(a), 10 f(x)=sin x (i.e. function (c))


Assignment 31:



p. 201, 17 (i), (iii) 18(i), (iii)  Note:  In (17), you should use formula (18)
to compute p_n(x).  For m and M plot f'''(x) over [0,.5] and read them off
of the plot.  It is not necessary to prove that they work.  See Example 3.