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Unformatted text preview: MAT 183  Elements of Modern Mathematics
Syllabus Fall 2009
Section 100, TTh 2:003:20; Section 200, MW 2:153:35; Section 300, MW 3:455:05
Course Instructors
email
office
Chapters 2 and 7: Elizabeth Hartung ejhartun@syr.edu 400 Carnegie
Chapters 5 and 8: Ashley Prater
aaprater@syr.edu 400 Carnegie
Chapters 6 and 10: Jack Graver
jegraver@syr.edu 229E Physics ext
2163
2163
1576 Course Description: This course is designed for students in the School of Management.
The course will involve no calculus, and a thorough background in high school
mathematics is the only prerequisite. The course has three main components: Linear
Algebra, Probability Theory, and Mathematics of Finance.
Text: Goldstein, Schneider, and Siegel (2004). Finite Mathematics and its Applications
(2nd custom ed.). Prentice Hall, Custom Edition for Syracuse University.
Calculator: This course involves extensive use of the TI84 graphing calculator. Each
student is required to own a TI84 calculator. The calculator will prove to be an
indispensable tool throughout the course, particularly in the Mathematics of Finance
component. Since the TI84 will be useful, if not essential, for virtually every topic, it is
important to familiarize yourself with the calculator as soon as possible. Though the
main techniques will be demonstrated in class, it is up to you to become proficient with
the calculator on your own. The TI84 is the only calculator that may be used on a test
or the final exam without prior approval from your instructor.
Cell Phones: all electronic devices other than the TI84 should be turned off and put away
during class. Calculators on cell phones are not to be used on tests or quizzes.
Quizzes and Homework: There will be weekly quizzes in the recitation sections.
Homework will be done online using WebAssign. You are required to purchase your
entry code for this online system – it is bundled with the custom edition of the text.
WebAssign problems for a section will be opened the day that section is covered in class;
they will be discussed during the following week’s recitations and will be due at 11.59pm
of the Saturday of the following week (extensions only for an EXTENDED illness).
Attendance and Class Preparation: Students are expected to attend every lecture and
every recitation and are responsible for any announcements made during lecture. Students
should read the appropriate sections of the text before the class in which the material is
presented.
Tests: There will be NO makeup tests. For students with an EXCUSED absence, the
portion of the final exam corresponding to the missed test will be substituted for the
missing score. The FINAL exam will be given on Wednesday, December 16. Every
student must take the exam at that time  no exceptions! DO NOT PLAN TO LEAVE TOWN BEFORE DECEMBER 16! HELP! The main lecturers and your recitation instructor will hold regular office hours.
The times and places will be listed on Blackboard. In addition, the Mathematics
Department offers regular math clinics. These will start the second week of classes and
will be held in the reading room of Carnegie. A schedule of clinic hours will be available
in the math office., 215 Carnegie.
Other Problems: These should be resolved with your instructor. Problems that cannot be
resolved with your instructor should be referred to the course supervisor, Prof. Jack
Graver; 229E Physics; Ext: 1576; jegraver@syr.edu
Learning Outcomes:
• The ability to select an appropriate mathematical model for a given real
world problem;
• The ability to understand and enunciate the limitations of conclusions
drawn from mathematical models;
• The ability to effectively use appropriate mathematical technology;
• A mastery of the basic properties of matrices and the ability to solve
simple matrix equations;
• A mastery of the basic properties and formulas of probability and statistics
and the ability to compute simple probabilities in a statistical setting and to
interpret the results;
• A mastery of the basic formulas from the mathematics of finance and the
ability to apply these formulas in a variety of settings that arise in personal
finance.
Academic Integrity: The Syracuse University Academic Integrity Policy holds students
accountable for the integrity of the work that they submit. Students should be familiar
with the Policy and know that it is their responsibility to learn about instructor and
general academic expectations with regard to proper citation of sources in written work.
The Policy also governs the integrity of work submitted in exams and assignments as
well as the veracity of signatures on attendance sheets and other verification of
participation in class activities.
DisabilityRelated Academic Accommodations. Students who are in need of disabilityrelated academic accommodations must register with ODS, the Office of Disability
Services, 804 University Ave., Room 309, 3154434498. Students with authorized
disabilityrelated accommodations must provide a current Accommodation Authorization
Letter from ODS to the instructor and review those accommodations with the instructor.
Accommodations, such as exam administration are not provided retroactively; therefore,
planning for accommodations as early as possible is necessary. Grading Policy
The grade for this course will primarily be based on the student’s performance on the
three tests and the final.
Test 1: Linear Algebra & Counting 20%
Test 2: Probability & Statistics
20%
Test 3: Markov Processes & Finance 20%
Test and Exam scores will NOT be curved.
A
93100%
B+
8789%
A9092%
B
8386%
B8082% Final Exam
Quizzes
Homework 25%
06%
09% Letter grades will be assigned as follows:
C+
7779%
D
6569%
C
7376%
F
064%
C7072% Tentative Calendar
Monday
Sunday
Aug
Class 1
30
Sept
NO C LASS*
6
Sept
Class 4
13
Sept
NO C LASS*
20
Sept
NO C LASS*
27
Oct
TEST
4
Oct
Class 10
11
Oct
Class 12
18
Oct
Class 14
25
Nov
Class 16
1
Nov
Class 18
8
Nov
Class 20
15
Nov
Class 22
22
Nov
Class 23
29
Dec
Class 25
6
D e c EXAM R EVIEW
13 Tuesday Wednesday 2.1, 2.2
Class 3
5.2, 5.3 Thursday Class 2 2.3, 2.4
NO C LASS* 2.6
Class 5 5.3, 5.4 Class 6 5.5, 5.6 NO C LASS* Class 7 Review NO C LASS* #1
6.3, 6.4
6.5, 6.6
7.3, 7.4
Review
8.1
8.3
10.3
10.3, 10.4
Review Class 9 6.1, 6.2 Class 11 6.4, 6.5 Class 13 7.1, 7.2, 7.3 Class 15
TEST
Class 19
Class 21
NO C LASS
Class 24
TEST
F INAL E XAM 7.5, 7.6
#2
8.2
10.1, 10.2
NO C LASS
10.4
#3 N O C LASS*
T here a re 3
Monday
vacation
days. T o k eep
all s ections i n
sync, t here
will be no
corresponding
Thursday
lectures.
H owever,
Thursday
recitations
are N OT
cancelled!
Students i n
t he c ancelled
Monday
recitations
should m eet
with t he
Wednesday o r
Friday
recitation a t
the s ame
time EXERCISES
The following exercises from the text are selected to help the student understand the
material. Problems in WebAssign will be similar to problems in this list.
Linear Algebra
2.1
17, 19, 25, 27, 31, 37, 38
2.2
9, 15, 23, 26, 27, 30, 35, 36
2.3
7, 15, 17, 21, 26, 33, 37, 43, 46, 47, 49, 51
2.4
11, 15, 16, 17, 19, 27, 31
2.6
5, 7, 8, 12, 13, 16, 19
Counting
5.2
2, 3, 5, 9, 11, 13, 15, 17
5.3
5, 7, 13, 15, 17, 19, 23, 25, 41, 43, 45
5.4
11, 17, 19, 23, 24, 25, 31, 33, 37, 52*
5.5
5, 7, 11, 21, 25, 27, 32, 34, 38, 41, 52, 59, 76
5.6
1, 3, 5, 7, 9, 10, 11, 17, 19, 23, 30, 31, 36, 46
Probability
6.2
1, 3, 7, 9, 11, 15, 19, 24
6.3
2, 3, 4, 7, 10, 17, 19, 23
6.4
1, 3, 9, 13, 15, 17, 19, 21, 22, 35, 36
6.5
1, 2, 3, 4, 6, 7, 10, 12, 13, 15, 17, 22, 23, 30, 39
6.6
4, 6, 7, 8, 13, 15, 20, 24
Statistics
7.2
1, 7, 9, 10, 22
7.3
1, 3, 5, 7, 10, 12, 19
7.4
2, 9, 10, 11, 12, 16, 24, 26
7.5
1, 3, 7, 8, 11, 12, 13
7.6
1, 3, 5, 7, 25, 26, 31, 33
Markov Processes
8.1
1, 7, 9, 10, 11, 13, 14, 15
8.2
1, 5, 7, 14, 15, 16, 18
8.3
3, 5, 7, 12, 13, 14, 15, 16, 17
Mathematics of Finance
10.1 1, 4, 6, 8, 11, 15, 19, 23, 37, 40, 49
10.2 1, 4, 7, 9, 11, 14, 17, 19, 21, 25, 27*, 36, 41
10.3 1, 2, 3, 5, 7, 11, 17, 20, 21, 27
10.4 3, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32,
34, 36, 38, 42, 44, 46, 48 ...
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