MATH 215 - Summer 2017- Stankewitz     
[Maths 215 syllabus] [HW problems] [Exam Schedule] [Weekly schedule] [Exam study guide]

Exam Schedule (Tentative)

Exam I will be covering sections 1.1-1.5 
Review Sheet

Exam II will be covering sections 2.1-2.6
Review Sheet

Exam III will be covering sections 3.1-3.4
Review Sheet

Exam IV will be covering sections 4.1-4.4
Review Sheet

The Final Exam is cumulative and will be arranged at a mutually agreed upon time before the last day of class (July 21, 2017).

Weekly Schedule (Approximate - we will cover Chapters 1.1-1.5, 2.1-2.6, 3.1-3.4, 4.1-4.4)

Homework

Homework Assignments

Read each section carefully and do the following problems to be turned in:

HW 1
Read Helpful advice to new students from former students of MATH 215.
Read Preface

1.1 # 1-3, 7-10, 13-20, 22, 23, 25, 26, 28-30

1.2 # 1, 3, 5-7, 12-14, 16, 19-22, 24-27
Be sure to read and work through the following two documents here and here.

HW 2
1.3 # 1, 2, 3, 5, 7, 11, 14, 15, 17, 18, 20, 21, 22, 24, 25
1.4 # 3, 4, 8, 10, 12, 13, 15, 16, 17, 18, 24, 25, 29
Be able to do the problems found here - be sure to try each part BEFORE you look at the given solution.

HW 3
1.5 # 1, 6, 7, 9, 12, 14, 18, 19, 21, Extra Problem: Use the fact that sqrt{2} is irrational to find an irrational number x s.t. 10<x<11.  Prove your claim carefully.

HW 4
2.1 # 1, 2, 4, 5, 6, 10, 12, 16, 17, 23, 24
2.2 # 2, 3, 4, 6, 12, 13, 17, 20, 23, 28, 30, 32

HW 5
2.3 # 2, 3, 5, 9, 13, 17, 18, 22, 27, 30, 33, 34, 35, 36
2.4 # 1, 2, 7, 11, 16, 19, 22, 23, 25, 26, 28, 29, 30, 31, 33

Answers to Computers and People handout here.
Answers to the Hat handout
here.

HW 6
2.5 (skip 2.5.4 and 2.5.5) # 1, 2, 7, 11, 15, 17, 19
2.6 # 2, 3, 4, 5, 9, 10, 11, 17
(problem should be stated for undirected graphs only, as in Theorem 2.7 - hint add an edge and use Theorem 2.7), 18, 22, 24, 25

HW 7
3.1 #
1, 5, 10, 13, 16, 17, 18, 19, 24, 26, 27
3.2 #
3, 4, 9, 10, 11, 13, 14, 15, 18, 20, 21

HW 8
3.3 # 1, 3, 5, 6, 8, 9, 10, 15, 16, 20, 23, 26
3.4 # 1, 3, 10 (use strong induction on the height of the tree or use structural induction), 13, 18, 19, 21, 22

HW 9
4.1 # 1, 2, 4, 5, 7, 9, 13, 14, 16, 20, 23, 24, 26
4.2 # 3, 4, 5, 8, 10, 11, 17, 20, 22, 23, 25, 27, 30

HW 10
4.3 # 1, 2, 3, 4, 5, 6, 10, 11, 17, 22, 23, 24 (Hint: Note that the degree of each vertex is in the set {0, 1, ... , n-1} where the graph has n vertices), 27  (Hint: Draw figure, and form a triangle by connecting the midpoints of each side.)
4.4 # 2, 3, 6, 8, 11, 12, 13, 14, 15, 18, 19, 22, 23

Study guide for exams

When preparing for the exam::

  • READ THE BOOK. Read every chapter of the covered material. You'll be amazed at how much you now know and this really will (trust me) solidify what you need to know. These solidified ideas will make what seemed like 100 different problems look all the same and you will be able to do them all.
  • Re-do all the homework problems (don't just look over your old solutions). Re-do all the exam and quiz problems.
  • Learn all the necessary formulas, but be sure to be able to get by as well as you can without them.

 

When taking the exam

  • Show all your work
  • Don't erase work. If it is incorrect, leave it on the page and state that it is incorrect.
  • If you can't do a problem, just start doing whatever you can do.
  • If you can't do part of a problem, but you know what to do if you could do this one part, then tell me what you would do if you could.
  • If you can't do a problem, then tell me what you do know.
  • Check your work carefully. Sometimes you can do a problem two different ways and that way you can check your work.
  • Be prepared for problems that are not just like what you've seen before.