Math 3345  Foundations of Higher Mathematics
(Spring 2018)
Course syllabus
Inclass exercises for 1/12/2018
List of useful tautologies
Homework #1 (due Wednesday, January 24)
p. 7 #2, 3
p. 15 #15
p. 19 #21
p. 23 #31, 32
Homework #2 (due Wednesday, January 31)
p. 28 #1, parts (g) through (k)
p. 31 #7
p. 35 #10
p. 36 #13
p. 37 #14, parts (g) and (h)
Homework #3 (due Wednesday, February 7)
p. 41 #3
p. 43 #8 (b) and (c) [You may use part (a) without proving it.]
p. 44 #10 (b) and (d)
p. 45 #12 [You may assume that pi is irrational.]
p. 46 #13 (a) and (b)
p. 47 #16
Homework #4 (due Wednesday, February 14)
(click on link for PDF file)
Reminder: Midterm 1 on Friday (February 23) in class
Review problems for Midterm 1
(click on link for PDF file)
Homework #5 (due Wednesday, February 21)
pp. 5354 #30, 31, 32, 33
Homework #6 (due Wednesday, February 28)
p. 60 #2
p. 61 #4, 5
p. 62 #6, 8
p. 74 #1 [We already discussed this method in class. Review pp.7274 if needed.]
Homework #7 (due Wednesday, March 7)
p. 66 #12
p. 69 Use the binomial series to estimate 4/3 raised to the 3/4 power.*
p. 71 #22, 23
p. 75 #4 [read Example 6.9 first]
*Show how to do this to two decimal places without a calculator.
Homework #8 (due Wednesday, March 21)
(click on link for PDF file)
Homework #9 (due Wednesday, March 28) and Inclass exercises for 3/19, 3/21
(click on link for PDF file)
Reminder: Midterm 2 on Friday (April 6) in class
Review problems for Midterm 2
(click on link for PDF file)
Homework #10 (due Wednesday, April 4)
p. 118 #33, parts (e) and (f)
p. 122 #3
p. 124 #9
p. 125 #10
p. 127 #15
Homework #11 (due Wednesday, April 11)
Reading: “Hilbert’s Hotel” (introduction to section 15, page 159)
Problems:
p. 133 #2
p. 137 #12
p. 138 #14
p. 139 #18
Homework #12 (due Wednesday, April 18)  last assignment!
p. 160 #1
p. 162 #5, 6, 8
p. 175 #11 [you don’t need to use the material in section 16]
