Math 3345 - Foundations of Higher Mathematics 

(Spring 2018)
 

Course syllabus 


In-class 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. 53-54 #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.72-74 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 In-class 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]