EASTERN UNIVERSITY
Mathematics Department
Math 103
Mathematical Ideas
Fall, 2006
Instructor: Mark A. Herman
Telephone: 610-225-5059
e-mail: mherman@eastern.edu
Office: McInnis 243
Office hours: M-F: 9:00 a.m. to 9:50 a.m.
M,W,&F: 1:00 p.m. to 1:50 p.m.
T&R: 2:00 p.m. to 3:00 p.m.
(Do not hesitate to come to my office at other times as well.)
Prerequisite: None
Textbook: Mathematical Ideas, 10th edition, by Miller, Heeren, and Hornsby,
New York, NY: Pearson Education/Addison Wesley, 2004
Calculator: Scientific or graphing
Policies: If you have any documented special educational needs, you are
encouraged to work with the Cushing Center for Counseling and Academic
Support to prepare a written request for the accommodations you need in
this course. In order for you to get educational accommodations in this
course, the instructor must receive a written request from CCCAS at the
beginning of the course, or as soon as the disability is diagnosed.
All college policies pertaining to academic dishonesty, drop/add procedures,
grade appeal, etcetera, will apply in this class. Consult the handbook or
ask me if you have any questions about these policies.
Attendance: You are strongly encouraged to attend every scheduled class. You may not
miss any of the quizzes or the final exam without prior approval of the
instructor. You will be permitted up to three (3) class absences without
an acceptable reason without a grade penalty. If you are absent four (4)
or more times without an acceptable reason, ALL of the grades for the
absent days will revert to zeros.
Participation: You will be expected to do the reading assignments as instructed (careful
reading is the most important thing you will do in this class), participate
in class discussions, do the assigned problems in class or outside of
class as necessary, and ask questions when you have them.
Grading: Your letter grade will be awarded on the basis of a 10 point scale
(e.g. 69.5% to 72.4% is a “C-“; 72.5% to 76.4% is a “C”; 76.5% to 79.4% is
a “C+”). 50% of your grade will be your quiz average. 30% of your grade
will be from homeworks. 20% of your grade will be your final exam.
Objectives: By the end of this course, the student should:
1) be exposed to an interesting and varied survey of mathematical topics.
2) develop an increased appreciation of mathematics and how it is
used in the world around us.
3) be able to solve problems using computational skills, concept
development, and problem solving ability in the areas of set
theory, logic, basic algebra, consumer mathematics, and number
systems, sets, and theory.
Schedule: Wednesday 8/30/06 First class
Friday 9/22/06 First quiz
Monday 10/16/06 Second quiz
Friday 10/20/06 Fall free day (no classes)
Friday 11/10/06 Third quiz
W,F 11/22,24/06 Thanksgiving break (no classes)
Wednesday 12/6/06 Fourth quiz
Friday 12/8/06 Last class
Wednesday 12/13/06 Section 2 Final Exam
(12:30 p.m. to 2:30 p.m.)
Friday 12/15/06 Section 1 Final Exam
(12:30 p.m. to 2:30 p.m.)
Chapter 1 Read §1.1 Do #1 & 3 (like e.g. 1), 15 & 17 (like e.g. 2),
31 & 33 (like e.g. 3)
Read §1.2 Do #1 & 3 (like e.g. 1), 11 & 13 (like e.g. 2),
43 & 45 (like e.g. 3)
Read §1.3 Do #3 (like e.g. 1), 5 (like e.g. 4), 1 (like e.g. 7)
Read §1.4 Do #41 (like e.g. 1), 47 (like e.g. 2)
Chapter 2 Read §2.1 Do #9 & 13 (like e.g. 1), 41 & 43 (like e.g. 2),
21 & 29 (like e.g. 3), 67 & 69 (like e.g. 4),
73, 75, & 77 (like e.g. 5 & 6)
#11, 25, 31-39 odd, 59-65 odd, 71
Read §2.2 Do #49 & 51 (like e.g. 1), 7 & 9 (like e.g. 2),
15 & 17 (like e.g. 3), 43 & 45 (like e.g. 5)
#11, 13, 19, 21, 25, 31, 33, 53
Read §2.3 Do #7 & 10 (like e.g. 1), 9 & 11 (like e.g. 2),
15 & 19 (like e.g. 3), 29 & 30 (like e.g. 4),
23 & 31 (like e.g. 5), 63 & 65 (like e.g. 6),
71 & 73 (like e.g. 7)
#75 & 77 (like e.g. 9), 83 & 85 (like e.g. 10),
81 & 82 (like e.g. 11), 97 & 99 (like e.g. 12),
127 & 129 (like e.g. 13), 109 & 110 (like e.g. 14)
#13, 17, 21, 25, 27, 67, 69
Read §2.4 Do #1 & 3 (like e.g. 1), 5 & 7 (like e.g. 2),
17 & 19 (like e.g. 3), 29 (like e.g. 4)
Chapter 3 Read §3.1 Do #15 & 17 (like e.g. 1), 23 & 24 (like e.g. 2),
33 & 36 (like e.g. 3), 39 & 41 (like e.g. 4),
25 & 27 (like e.g. 5), 65 & 67 (like e.g. 6)
#1, 3, 5, 19, 21, 29, 31, 34, 35, 43, 45, 49, 51
Read §3.2 Do #7 & 9 (like e.g. 1), 21 & 23 (like e.g. 2),
29 & 31 (like e.g. 3), 71 & 73 (like e.g. 4),
45 & 47 (like e.g. 5 & 6), 55 & 57 (like e.g. 7)
#11, 13, 25, 27, 33, 35, 37
#39, 49, 51, 58, 61, 63, 72
Read §3.3 to page 118 (Circuits)
Do #41 & 43 (like e.g. 1), 21 & 23 (like e.g. 2),
55 & 57 (like e.g. 3), 67 &69 (like e.g. 4),
73 & 75 (like e.g. 5)
#1, 3, 5, 24, 25, 27, 29, 33, 35, 45
#47, 59, 63, 68, 71, 74, 77, 79, 81
Read §3.4 Do #1 & 3 (like e.g. 1), 11 & 14 (like e.g. 2),
19 & 21 (like e.g. 3), 45 & 48 (like e.g. 5)
#5, 7, 12, 13, 23, 25, 27, 47, 49
Read §3.5 Do #1 & 2 (like e.g. 1), 5 & 6 (like e.g.2),
7 & 8 (like e.g. 3), 9 & 11 (like e.g. 5)
#3, 15, 17, 19, 21, 25, 27
Read §3.6 Do #5 (like e.g. 1), 7 (like e.g. 2),
11 (like e.g. 3), 1 (like e.g. 4),
29 (like e.g. 5), 47 (like e.g. 6)
#9, 13, 17, 21, 31, 35
Chapter 4 Read §4.1 Do #1 & 3 (like e.g. 1), 5 & 7 (like e.g. 2),
31 & 33 (like e.g. 3), 35 & 37 (like e.g. 4 & 5),
15 & 17 (like e.g. 6), 19 & 21 (like e.g. 7)
Read §4.2 Do #1 & 3 (like e.g. 2), 9 & 11 (like e.g. 3),
15 & 19 (like e.g. 4 & 6), 17 & 23 (like e.g. 5 & 7),
27 & 29 (like e.g. 8), 35 & 37 (like e.g. 9)
#5, 7, 13
Base 2 (conversions only)
Worksheet [front]
[back]
Chapter 5 Read §5.1 Do #19 & 21 (like e.g. 1 & 4), 13 & 15 (like e.g. 2),
31 & 33 (like e.g. 5), 81 & 84 (like e.g. 6),
72 (like e.g. 7)
#17, 23, 35, 61, 63, 65
Read §5.2
Read §5.3 Do #11 & 13 (like e.g. 1 & 3), 15 & 16 (like e.g. 2),
21 & 22 (like e.g. 4), 23 & 25 (like e.g. 5),
35 & 36 (like e.g. 6)
#40 & 41 (like e.g. 7), 43 & 45 (like e.g. 80,
65 & 69 (like e.g. 9), 67 & 70 (like e.g. 10)
#17, 19, 27, 31, 33, 37, 39
Chapter 6 Read §6.2 Do #7 & 9 (like e.g. 1), 11 & 15 (like e.g. 2),
19 & 20 (like e.g. 3), 23 & 25 (like e.g. 4),
#29, 33, 37, & 41 (like e.g. 5), 45 & 47 (like e.g. 6),
77 (like e.g. 7), 87 & 88 (like e.g. 8)
#1-4, 13, 17, 21, 27, 31, 35
#39, 43, 49-55 odd, 69-75 odd
Read §6.3 Do #5 & 7 (like e.g. 1), 19 & 23 (like e.g. 2),
27 & 29 (like e.g. 3), 31 & 33 (like e.g. 4),
59 & 65 (like e.g. 5), 89 & 91 (like e.g. 6),
83 & 85 (like e.g. 7)
#1, 3, 9, 11, 13, 17, 21, 25, 35, 37, 38, 39, 41, 43
Read §6.5 Do #11 & 13 (like e.g. 1), 15 & 17 (like e.g. 2),
31 & 33 (like e.g. 3), 37 & 39 (like e.g. 6),
45 & 47 (like e.g. 7)
#62 & 63 (like e.g. 8), 65 & 66 (like e.g. 9),
67 & 68 (like e.g. 10), 71 & 75 (like e.g. 12)
#1-9 odd, 19, 21, 25, 27, 29
#35, 41, 43, 49, 51, 55, 61
Chapter 7 Read §7.1 Do #9 & 11 (like e.g. 1), 17 & 19 (like e.g. 2),
37 & 39 (like e.g. 3), 43 & 45 (like e.g. 4)
#51 & 53 (like e.g. 5), 61 & 63 (like e.g. 6),
75 (like e.g. 7)
#3, 4, 7, 13, 15, 21-33 odd
#41, 47, 49, 55, 57, 65, 67, 69, 77
Read §7.2 Do #21 (like e.g. 1), 31 & 33 (like e.g. 3),
37 (like e.g. 4), 45 (like e.g. 5), 50 (like e.g. 6),
65 & 66 (like e.g. 7)
#1, 3, 5, 9-19 odd, 23-29 odd
Read §7.3 Do #1 & 3 (like e.g. 1), 19 & 21 (like e.g. 2),
23 & 24 (like e.g. 3), 33 & 34 (like e.g. 4),
37 & 39 (like e.g. 5)
#55 & 56 (like e.g. 6), 61 & 65 (like e.g. 7),
71 (like e.g. 8), 63 & 72 (like e.g. 9),
75 (like e.g. 10), 73 (like e.g. 11)
#2, 4-9, 13, 15, 17, 27, 29, 31
Chapter 14 §14.1 (do not read) Do #1, 3, 5, 7, 9, 19, 21, 23
#39, 41, 42, 43, 45
Extension (do not read)
Do p. 805 #1, 3, 4, 5, 6