MGF1107 – Mathematics for the Liberal Arts
Contact:
Debbie Garrison dgarrison@valenciacc.edu 407-582-2304
Textbook: Mathematics Beyond the Numbers by Gilbert and Hatcher
Suggested textbook homework:
Day 1 (8/29/06)
section 1.1 Do problems 1, 5, 11, 15 (page 15-19)
Start thinking about a question to use in the voting project which will be due at the
beginning of the class on 9/12.
Day 2 (8/31/06)
Section 1.2 - 5, 9, 11
Section 1.1 - 5, 17, 19, 22
Quiz 1 will be next class after homework questions.
Day 3 (9/5/06)
Section 1.3 - 1, 5, 11
Section 1.4 - 1, 3b, 11
Section 1.1 - 23, 25, 26
Test next Tuesday
Day 4 (9/7/06)
Test 1 is Tuesday. Review problems page 66 - 1, 2, 3, 5, 6, 7
Section 1.2 - 11cd, section 1.1 - 23, 26
Day 5(9/12/06)
Test 1
Day 6 (9/14/06)
Section 3.2 - 19, 21, 23, 27, 29,31
Day 7 (9/19/06)
Section 3.3 - 7, 29, 35, 39, 41, 47, 49
Quiz after homework questions.
Day 8 (9/21/06)
Finish the saving activity
Section 3.4 - 13, 15, 19, 21
Finance menu handout
Day 9 (9/26/06)
Section 3.5 - 13,15,23
Day 10 (9/28/06)
There is no formal class next Tues due to college night. However, if you have
questions about chapter 3 I will be in my office during class time. The test will be
Thurs Oct 5. A review for the test is posted at the website on the syllabus.
Day 11 (10/5/06)
Test 2
Day 12 (10/10/06)
Section 6.1 - 1, 5, 7, 9, 11, 15, 17, 19, 21
There will be a quiz after homework questions next class.
You may recover one third of the point you missed on test 2 if you do a test
correction by Oct 31. For each problem you missed points on write a correct
solution showing all work. When you use the Finance menu show the info you put
in and the result of solving.
Day 13 (10/12/06)
Finish the Nearest Neighbor worksheet. On the last graph see if you can find a
circuit that has lower total weight than all of the others. It can be done.
Section 6.2 - 1, 5, 7a, 9a, 11a, 17abd
Day 14(10/17/06)
Finish section 6.2 by reading Greedy algorithm.
Do problems 6.2 - 7b, 9b, 11, 13, 19
There will be a quiz after homework.
Day 15 (10/19/06)
Section 6.3 - 1, 3, 5, 7, 11, 13, 19
Chapter 6 review 1, 3, 4, 7, 10, 11, 13, 14, 15, 16 & 21 in section 6.1
Day 16(10/24/06)
Chapter 6 test will be Thursday. Review problems are listed above.
Day 17 (10/26/06)
Test 3
Day 18 (11/2/06)
Section 8.1 - 13, 15, 17, 21, 23, 29, 31, 35
Day 19 (11/07)
Section 8.2 - 1, 5, 7, 13, 16, 17, 21, 23
Extra problems:
1. Calculate: a) 1000 mod 7
b) 1000 mod 13 c) 100 mod 26 d) 50 mod 48 e) 23 mod 26
2. What are the possible values that b mod 13 can have?
3. A) Calculate 234 mod 10 , 4312 mod 10, 45678 mod 10.
What is the pattern you notice?
Use your pattern, not your calculator, to find 23456789123456 mod 10.
4. A) Make a multiplication table for mod 7
B) Using table find a value for x that solves the equation 3x = 1 in mod 7.
Quiz after homework questions next time.
Day 20(11/09)
Section 8.4 - 7, 9, 11, 13, 16, 17, 18
Section 8.2 - 3, 11, 31, 35
Day 21(11/14/06)
1. Calculate each of the following by making use of properties of mod .
A) (123456 + 32456 + 12397744992) mod 10
B) (723984*1645728) mod 5
C) (1010101*22233333 + 123456789) mod 5
D) (18+13+5+23+2) mod 11
E) 8100 mod 7
2.
The numbers 2 and 3 are inverses of each other in mod 5 since 2*3 = 1 (mod 5)
Likewise 3 and 7 are inverses of each other in mod 10 since 3*7 = 1 (mod10)
Refer back to your multiplication table in mod 7 and find the inverses of 1,2,3,4,5,6.
3.
A) Solve the equation 3x = 2 (mod7) by multiplying both sides by the inverse of 3.
B) Solve the equation 4x = 2 (mod7) by multiplying both sides by the inverse of 4.
4.
A) Solve 7x = 8 in mod 10.
B) Solve 3x = 2 in mod 10.
Section 8.6 - 1, 5, 7 (coding)
Section 8.6 - 9, 11, 13 (decoding)
Quiz after homework. Test 4 next Tuesday
Day 22 (11/16/06)
The sections covered on test 4 next class are 8.1, 8.2, 8.4 and 8.6. The review problems are:
page 536 problems 1, 2, 5, 7, 8, 15, 16, 18, 19, 23, 24. Review for test 4 by going over
homework (don’t ignore the extra problems that have been assigned) and also by doing the
problems in the chapter review for chapter 8.
Day 23 (11/21/06) Test 4
Day 24(11/28/06) Start your Famous number notebook. It will be due no later than the day of the final
(12/14/06). The first chapter is π.
Chapter π
Day 25(11/30/06) The next chapter is Phi
Chapter Phi
Sample Syllabus:
Fall 2006
Instructor: Mrs. Deborah Garrison
Office: Building 2 Room 107
Phone: (407) 582-2304
e-mail: dgarrison@valenciacc.edu
Office Hours: Tues/Thurs 10:00 – 11:30 AM
Mon/Wed 9:00 – 10:00 AM
Fri 9:00 AM – noon
Required Course
Materials: • Mathematics Beyond the Numbers, Gilbert & Hatcher
• TI-83/84 or TI-83/84 plus Graphing Calculator
• 6 or 12 inch ruler (with centimeter markings)
Catalog Description:
MGF 1107 credit hours 3
LIBERAL ARTS MATHEMATICS
Prerequisite: Grade of C or better in MAC 1033C or MAC 1105 or appropriate score on
a state approved assessment test. General education math which covers topics
chosen from problem solving, numeration and mathematical systems, financial
mathematics, history of mathematics, voting techniques, apportionment, chaos
theory, networking, knot theory, connections to other disciplines, and other
current and special topics in mathematics. Gordon Rule course. A minimum
grade of C is required if MGF 1107 is used to satisfy the Gordon Rule and
general education requirements.
Valencia Core Competencies:
Valencia desires their graduates to possess and demonstrate a set of global
competencies including the ability to think, communicate, value and act. In an
effort to help you acquire and improve upon your ability to demonstrate these
competencies this course will include activities that require you to:
1. Think clearly, critically and creatively.
2. Communicate with others in written and verbal form.
3. Make reasoned value judgments and responsible commitments.
4. Act purposefully, reflectively and responsibly.
Due to the nature of these global competencies many problems and activities will be
presented in the context of an application. These applications will require
students to select appropriate information from the problem and communicate
effectively how to arrive at an appropriate solution for the problem.
Student Responsibilities: You should consider being a student as a full-time job. You
should attend each class, participate in class, ask relevant questions, ask for
help when needed from the instructor, a tutor or another student, and turn in
assignments when they are due. In addition to class time, expect to spend
approximately 4-8 hours a week working on this class.
Attendance: Attendance and class participation are expected of all enrolled students.
You are responsible for all material discussed in class whether present or not.
This includes changes in assignments, exam dates, etc. Students who miss more
than 3 classes may be dropped from the class roll following college excessive
absence procedures.
Tardiness: Being late to class or leaving early is a disruption to the class and is
discourteous to the professor and the other students. All students are expected
to be on time to class and to stay for the entire class period.
Academic Honesty: You are expected to do your own work on exams projects and
quizzes. Providing information to another student or receiving information
concerning exam content is considered cheating. The professor reserves the
right to determine the appropriate penalties within Valencia Community College's
academic honesty policy.
Withdrawal Policy: The withdrawal deadline for receiving the non-punitive grade of "W"
is November 3, 2006. After that date, if you withdraw, your average will
determine whether you receive a grade of "WP" (A-D) or "WF" (F). Caution:
Receiving a grade of W, WP, or WF may affect financial assistance and
scholarships and you chance for admission to a 4-year college or university. In
addition, rules at Valencia may affect the number of times that you may repeat a
course without receiving a grade of A-F and also the cost of repeating courses.
Evaluation: Your grade will be determined by grades on exams, projects, quizzes and
classroom activities.
Homework: Homework will be assigned for each section. Keep your worked-out
homework problems in a notebook. At the beginning of each class students
should discuss any problems with the homework assignment. Class discussion
will follow for problems still not understood.
Exams: There will be 5 exams given during the semester, one on each of the chapters
we will be studying. Missed exams will be made up during the final exam time.
No other make-ups on exams will be allowed. See below for points.
Other Assignments & Quizzes: The highest 90% of your quizzes/worksheets/class
assignments will be averaged and count as one test grade.
Final Exam: The final exam period for this class is Monday, December 11, 2006 from
10 AM – 12:30 PM. This class does not have a comprehensive final exam.
Students may opt to retake an exam on any one of the previous topics for a new
score during the final examination period. If you miss an exam you must take an
exam on that topic on this day. Only ONE retake will be allowed per student.
Grade Calculation: The grade in MGF 1107 will be determined from the chapter tests,
in class activities and worksheets.
Exams (5 @ 100 points) 500 points
Projects (4 @ 25 points each) 100 points
Quizzes and Class Activities 100 points
Total 700 points
Your final course grade will be calculated by using the following scale:
Final percent Letter Grade
90% or better A
80% or better B
70% or better C
60% or better D*
below 60% F*
* MGF 1107 will not count for mathematics credit with a grade of D or F.
Cell Phones: Students are required to turn off all cell phones and pagers before the
beginning of class. If a cell phone or pager is audible the student may be asked
to turn it off or leave for the remainder of the class. If there is an emergency
situation warranting the use of a cell phone or pager during class time, the
student must notify the professor prior to class.
Student with Disabilities: Students with disabilities who qualify for academic
accommodations must provide a notification from the Office for Students with
Disabilities and discuss specific needs with the instructor, preferably during the
first two weeks of class.
Disclaimer: Changes in the evaluation procedure may be made at the discretion of the
instructor.