Anne Arundel Community College

The Nature of Mathematics – Spring 2007

MAT100, Section 001

 

Class: MWF @ 09:00-9:50 in Schz-203

Professor: James Freeman

Office: Mathematics-231-I

Office Hours: MWF @ 12:00-13:00

Phone: (410) 777-2557                                  

Email: jsfreeman@aacc.edu

Website: http://ola4.aacc.edu/jsfreeman/

 

Course Description: This course is an introduction to mathematical reasoning and the range of mathematical applications through an exposure to inductive methods, problem solving techniques, and the organization of information to reveal patterns.  The topics discussed include:

decision making and fairness in elections;

probability, statistics, sampling and polling;

graphs, networks and topology;

geometry, symmetry and connections between mathematics and the arts;

sequences, growth models and compound interest.

Content will include problem solving techniques using computers (Excel).

 

Learning Objectives: Upon completion of this course, the student will be able to:

            Reason logically - both inductively and deductively;

Recognize numeric, geometric and statistical patterns;

Apply numerical reasoning to everyday situations;

Interpret and analyze data using statistical concepts;

Reason probabilistically about random phenomena;

Apply numerical methods to decision making situations;

Understand the cultural contexts in which mathematics is created.

 

Text: "Excursions in Modern Mathematics" (6th edition) by Peter Tannenbaum. 

 

Computer/Calculator: Some work on a computer using Excel is required in this course.  Computers are available in both the Mathematics building and in the library.  A calculator is not explicitly required for the course, but its use is recommended on tests.  A TI-83 or TI-84 is recommended.

 

Attendance Policy: Regular class attendance is expected.  If you are absent, it is your responsibility to find out what occurred with respect to both announcements and course work.  If you email me, I will respond with that information.  But even one absence means a lost opportunity to learn.


Anne Arundel Community College

The Nature of Mathematics

 

 

Class Activity: Prepare for class by reading the text (either before or after we cover the material).  If you do not understand something, ask questions in class. Ask questions even if it concerns material from a prior class or chapter.  Asking and answering questions is the main purpose of class.  During class we will review the major points in each chapter and solve sample problems.

 

Homework:   Homework will consist of selected problems from the end of each chapter in the text and TWO research papers on topics selected from the text.  The homework will be collected and graded.  Late homework loses 10% credit.  Your homework problem solutions should be neatly prepared (they need not be typed), with multiple pages either stapled or otherwise bound together.  Answers to most homework questions are in the back of the text, so you MUST show your work for full credit.  Research papers MUST be typed.  Research papers must be at least TWO FULL pages and contain references to at least TWO sources (books, URLs) other than the text and Wikepedia.  Neatness and the logic of your presentation will be graded in addition to correctness.

 

            Homework assignments will comprise 24% of your grade.

 

Examinations: There will be three chapter specific tests and a cumulative final exam.

 

The four tests will comprise 48% of your grade - 12% each.

The final will comprise 28% of your grade.

 

The tests may not be made up (without prior approval).  If you miss a test, the total possible points that the test was worth will be added to the total possible points that the final is worth.  Thus, if you miss a test, your final exam will be worth a larger proportion of your course grade.  I give generous partial credit when I grade, but you must show your work neatly to earn it.  It is your responsibility to show me what you know in a neat and orderly fashion.

 

Grading Scale: 90 - 100% A; 80-89% B; 70 - 79% C; 60 - 69% D; below 60% F.

 

Additional Help: Do not hesitate to visit me during my office hours.  If my hours conflict with your free time, I will gladly arrange additional times to meet with you.  I am in my office other times during the week so you can always stop by to see if I am in.  Additionally, free tutoring is available in the Math-Lab, located in the basement of the Library, room 107.


Anne Arundel Community College

The Nature of Mathematics

 

 

Academic Integrity: The Anne Arundel Community College Catalog states, "All students are required to exhibit academic honesty in all academic exercises and assignments." This includes cheating, fabrication, facilitating academic dishonesty, and plagiarism.  The instructor has the right and obligation to impose a reasonable academic sanction including, but not limited to, the following:

            A) Assign a failing grade for the assignment;

B) Assign a grade reduction for the course;

            C) Assign a failing grade for the course;

D) Assign an alternative learning experience.

I will choose A or B for most situations involving academic dishonesty. Do not leave the classroom without permission during a test.  If you do, I will collect your test and grade it based upon what you have already finished.  Do not use your cell phone during a test - such use may be construed as a form of academic dishonesty.

 

Student Conduct: The Anne Arundel Community College Catalog states; "All students while engaged in college activities shall comply with all college policies and procedures. Students shall conduct themselves in accordance with accepted standards of behavior, respect the rights of others, refrain from conduct or activity which obstructs the work of the college and is damaging to the welfare of the college community or the college." It continues to describe Acts of Misconduct. Please read the Catalog.

 

Cell Phones: Please put cell phones on vibrator mode during class as a courtesy to others.  If you receive a call, I trust that you will leave the room to talk.

 

Students in Need of Special Services: AACC is an equal opportunity, affirmative action, Title IX, ADA Title 504 compliant institution. Call Disability Support Services, 410-777-2306 or Maryland Relay 711, 72 hours in advance or e-mail dss@aacc.edu to request special accommodations. For information regarding Anne Arundel Community College's compliance and complaints concerning discrimination or harassment, call Karen Cook, Esq., AACC's federal compliance manager at 410-777-7370 or Maryland Relay 711.

 

 

 


Anne Arundel Community College

The Nature of Mathematics

 

 

Schedule (All dates are tentative)

 

Friday                         Assignments

 

 

Jan 26                         Chapter 1 Homework Due

Feb 09                         Chapter 2 Homework Due

Feb 09                         Examination on Chapters 1-2

 

 

Feb 16                         Chapter 13 Homework Due

Feb 23                         Chapter 14 Homework Due

Mar 02                        Chapter 15 Homework Due

Mar 02                        Examination on Chapters 13-15

 

 

Mar 16                        Chapter 5 Homework Due

Mar 30                        Chapter 6 Homework Due

Mar 30                        Examination on Chapters 5 & 6

 

 

Apr 13                         Chapter 9 Homework Due

Apr 27                         Chapter 10 Homework Due

Apr 27                         Examination on Chapters 9 & 10

 

May 04                       Review as time allows

 

May 09 (Wed)            Final Examination (08:00 - 10:00)

 

 

Jan 23                         Last day to drop with full refund

Apr 17                         Last day to withdraw

 


Anne Arundel Community College

The Nature of Mathematics

 

 Assigned Homework

(Do Only Two of the Four Research Papers)

 

 

Chapter I:  1, 3, 5, 6, 9, 11, 17, 27, 37 (and in 17, 27, 37, rank all the candidates by the appropriate recursive method)

Chapter II:  1, 7, 12, 25, 35, 53

Research Paper for Chapters I and II:

Choose one topic from among projects A-E (not F) on pages 41 or projects A-D on page 79-80.  Write a brief research paper on the project of your choice. An exhaustive treatment is not necessary and two full pages might suffice if well done.  The paper should include a list of at least two references - books, Internet URLs, etc. 

 

Chapter XIII:  5-8, 13-16, 23, 47

Chapter XIV:  1-4, 15-18, 23, 33, 41, 47, 55  (May use Excel)

Chapter XV:  1, 5, 9, 15, 41, 72

Research Paper for Chapters XIII - XV: Choose one topic from among projects B-E on page 474 or projects A-C on pages 508-9 or project A on page 537.  Write a brief research paper on the project of your choice. An exhaustive treatment is not necessary and two full pages might suffice if well done.  The paper should include a list of at least two references - books, Internet URLs, etc.

 

Chapter V:  1, 3, 5, 9, 17, 19, 23, 27, 51, 58

Chapter VI:  1, 3, 5, 9, 13 (,33, 39, 45 cancelled)

Research Paper for Chapters V and VI:

Choose one topic from among projects A-C on pages 194 or projects A-E on page 230-2.  Write a brief research paper on the project of your choice. An exhaustive treatment is not necessary and two full pages might suffice if well done.  The paper should include a list of at least two references - books, Internet URLs, etc.

 

Chapter IX:  1, 3, 5, 9, 15, 25, 27, 41, 55

Chapter X:  1, 3, 17, 19, 23, 29, 31, 41, 43, 47, 51, 53 (May use Excel for 47-53)

Chapter XII:  (1-4 cancelled)

Research Paper for Chapter IX and X:

Choose one topic from among projects A-E on pages 335-6 or projects A-D on page 370.  Write a brief research paper on the project of your choice. An exhaustive treatment is not necessary and two full pages might suffice if well done.  The paper should include a list of at least two references - books, Internet URLs, etc.

 

 

 


Anne Arundel Community College

The Nature of Mathematics

 

 

Student Information

Return to Instructor

 

Name:

 

Major:

 

Telephone number (optional):

 

Email address (if other than your aacc one):

 

Do you have a calculator?                                         Model?

 

Do you have a computer at home:

 

What word processing program(s) do you use?

 

What spreadsheet program(s) do you use?

 

If you wish, you may use the space below to describe your reasons for taking this course, any concerns or problems you anticipate during this course or any other appropriate personal information you'd like me to know:

 

 

 

 

 

 

 

 

 

 

 

Sign the following acknowledgment and return this page to me.

 

I have read and understand the attached syllabus and policies, including those on academic integrity.

 

 

________________________________________

(Student’s signature)