MAT 120: Mathematics and Liberal Arts              Credit: 3 units          Fall 2005

 

INSTRUCTOR:  Deborah Pearson                                      

OFFICE:  Ross 1250A 

Office Phone:  351-1406,

Math Office Phone:  351-2820                                                                   

E-Mail: dpearson@aims.edu

OFFICE HOURS: TBA

           

TEXTBOOK:   Mathematics: A Quantitative Reasoning Approach, 3rd edition, by Jeffrey Bennett and William Briggs

 

SUPPLIES:  


+                            Scientific calculator.  Bring this everyday to class.  You must have your

                                    own for quizzes and tests.

+                            Paper and pencil.         No pens please!

+                            Textbook

 

Course Description: Prerequisite is high school Algebra II, or intermediate algebra, ACT-Math at an appropriate level, or equivalent. Topics include sets and logic; linear, quadratic, exponential and logarithmic models; interest theory, loans, annuities; probability and descriptive statistics. At least one additional topic is chosen from: Euclidean and non-Euclidean geometries; introduction to calculus; applied mathematics (e.g. voting and election theory; network theory; mathematics for business).

Course Objectives: The primary objective of the course is to develop understanding of the techniques involved in the construction of mathematical models using problem solving strategies from mathematics and computer science. Given a situation to be modeled with mathematics, presented in the form of a real life problem or in the more structured format of a word problem, students will be able to evaluate the posited situation, propose a solution method for, and solve, the problem. Students should also have the ability, by the end of the course, to analyze solution(s) and discuss restrictions on their accuracy and applicability. General Education Council Expectations met by Math 120:

- The student will demonstrate proficiency in the use of mathematics and statistics to
        structure their understanding of and investigate questions in the world around them.

- The student will demonstrate proficiency in treating mathematical and statistical content
       at an appropriate level.

- The student will demonstrate competence in the use of numerical, graphical, and
         algebraic representations.

- The student will demonstrate the ability to interpret data, analyze graphical information,
       and communicate solutions in written and oral form.


- The student will demonstrate proficiency in the use of mathematics and statistics to
          formulate and solve problems.

- The student will demonstrate proficiency in using technology such as handheld
         calculators and computers to support their use of mathematics and statistics.

 

Course Content: Major Study Units (All of topics 1-5 and at least one of 6-10 are covered):


 

1. Logic and Problem-Solving

      Sets, Venn Diagram Models

      Logic and Argument Analysis

      Units of Measurement

      Problem Modeling Strategies

2. Critical Thinking with Quantitative         Information

      Percentages

      Relative Magnitude

      Understanding Error

3. Functions and Modeling

      Linear Models

      Quadratic Models

      Exponential Models

      Logarithmic Models

4. Finance

      Interest Theory

      Annuities

      Loans

      Income Taxes

      Federal Budget

5. Statistics and Probability

      Statistical Study Design

      Statistical Tables and Graphs

      Correlation and Causation

      Fundamentals of Probability

      Central Limit Theorem

      Risk Theory

 

 

6. Basic Calculus

      Functions and Rates of Change

      Infinitesimals and the Slope of a Curve

      The derivative

      Estimating Areas - Riemann sums

7. Geometry and Art

      Euclidean and Non-Euclidean Models

      Perspective

      Modeling Nature with Fractals

8. Putting Statistics to Work

      Variation

      Distributions

      Hypothesis Testing

9  Mathematics and Politics

      Elections

      Voting Theory

      Apportionment

10. Mathematics and Business

      Network Analysis

      Hamiltonian Circuits

      Scheduling

 

 

Instructional Strategies: There are three major instructional strategies in teaching the course: an emphasis on effective writing about mathematics, appropriate use of technology, and the rule of three (see below).   Written assignments in the course will result in at least 1100 words of prose writing related to mathematical situations. These written assignments may have one (or more) of the following forms:  - one or more project reports,  - a focus on homework assignments which include short essay answer explanatory questions in addition to some application and exploration problems,  - exam questions that require explanation and/or justification, in full sentences, of solutions.   Technology, in particular a scientific or graphing calculator along with its manual (or an equivalent computer program with manual), are used to help each student think about and analyze mathematics. In addition to the traditional use as a simple calculational tool, students may also master the graphing and basic programming capabilities of calculators in order to better visualize models and estimate solutions.   The semiotic "rule of three" means that concept, symbols, and words are investigated for each topic. The most common interpretation of the rule of three in mathematics is to have students explore the geometric, numeric, and algebraic views for topics.

Methods of Evaluation: Assessment of student learning is accomplished via at least two in-class examinations, regular homework or quizzes on which substantive feedback is given to students, and comprehensive final exam. Additional in-class activities are likely to be included in formative or summative assessments of student progress. One or two projects that result in summative reports can take the place of some, but not all, home, class, and quiz work. Lab sessions on a computer or using graphing calculators that illustrate the topics discussed in class are necessary. Assessment of technological mastery will be made through quizzes, class activities, projects, or short essay assignments.

EVALUATION:  Determined by the following tentative plan subject to change.

 

            3 in class chapter tests                                     30%

            1 take home test                                                          10%

            10 - 12 quizzes, projects                                               20%

            homework, class work, participation                20%

            commutative final                                            20%

                                                    

GRADING SCALE:                          90% - 100%     A

                                                            80% - 89%       B                     

                                                            70% - 79%       C                     

                                                            60% - 69%      D                                

                                                            Below 60%       F

 

ATTENDANCE:  Students are expected to attend class and to participate in class activities.  Students are responsible for all the material covered.  If you miss a test or a quiz, you must notify my in advance.

 

TESTS and QUIZZES:  I strongly recommend that you do not even consider missing a test.  Make-up tests are allowed only due to documented illness or extreme conditions and the student has otherwise been participating in expected class behavior.  It is your responsibility to contact me in advance if you are unable to make an exam.  You have one week to make up the missed exam.  You will only be allowed to make up 1 test.  Quizzes may or may not be announced.   If they are announced, it will be 1 class period in advance.  There will be no make up of quizzes.  There is a comprehensive final examination. 

 

HOMEWORK AND PARTICIPATION: 


 

¥                The first 10-15 minutes of class is devoted to answering homework questions.  If you did the problem wrong, please correct it on your homework. 

¥                Please put your name, chapter and section on your paper.  Please use pencil.

¥                Homework will be collected almost every class period and graded.  Homework is due the next class period after it is assigned.  It will be accepted one class period late.  If it is more than one class period late, points will be deducted per day.  You can put late homework in my mailbox in the math department or give it to me in my office. 

¥                Total for each assignment is 10 points.  You will receive 5 points if it is turned in on time, all your work is shown, and you have attempted every problem.  All written answers must be in complete sentences with proper grammar and punctuation.  Just writing the problem down with no attempt at work or just writing an answer (unless applicable) is worth 0 points.  The homework will be graded to receive the other 5 points.

¥                Some days class work will be turned in and graded.  This will be part of the homework grade.  This cannot be made up.

¥                Students are expected to attend class and to actively participate.  Participation will be graded on the following criteria.

o               Attendance

o               Being prepared for class.

o               Bring appropriate materials.

o               Willingness to ask questions.

o               Willingness to participate in class activities.

o               Willingness to work with other group members.

o               Willingness to work problems on the board.

 

UNC's Policies

UNC's policies and recommendations for academic misconduct will be followed.

Honor Code 

All members of the University of Northern Colorado community are entrusted with the

 responsibility to uphold and promote five fundamental values: Honesty, Trust, Respect, Fairness,

 and Responsibility. These core elements foster an atmosphere, inside and outside of the classroom, which serves as a foundation and guides the UNC community's academic, professional, and personal growth. Endorsement of these core elements by students, faculty, staff, administration, and trustees strengthens the integrity and value of our academic climate.

 Cheating is the act of using or attempting to use, in examination or other academic work, material, information, or study aids which are not permitted by the instructor. Cheating includes, but is not limited to: Using books, notes, or calculators or copying from or conversing with others during an examination (unless such external aids are permitted by the instructor); having someone else do research, write papers, or take examinations; doing research, writing papers, or taking examinations for someone else; submitting large portions of the same work as part of the academic work for more than one course (unless such submission is permitted by the instructor).

Don't do it!  The first offense will be documented and a 0 or F will be given.  The second offense will be reported to the Student Affairs Office.  You will receive an F in the class.

 

PROJECTS: There will be one or more projects given.  Some will be in-class and some will be out of class.

 

Special Needs: Students who believe they may need accommodations in this class are encouraged to contact the Disability Access Center, (970) 351-2289, as soon as possible to ensure that accommodations are implemented in a timely fashion.

 

EXTRA HELP: You are welcome to come to my office in anytime during my office hours.  You don't need an appointment.  If you can't make these hours, contact me for an appointment.  The Math tutoring lab is in Ross 1250.   Hours are posted on the door.  Please ask questions in class.

 

Cell Phone

Please extend courtesy to your instructor and fellow students by turning off your cell phones and pagers. Thank you for your cooperation.

Common Courtesy and Class Atmosphere: 

Be on time.

No cell phones.  Turn them off or don't bring them.

No stereo headphones.

If your talking is disruptive during class, you will be asked to leave.

Refusing to participate in class activities is disruptive also. You will be asked to leave.

 

Important Dates:

August 29                               Course Add deadline

                                                August 2                                 Course Drop deadline

September 5                            Labor Day No School

October 14                              Last day to withdraw from class

November 25                          Thanksgiving holiday

                                                Final                                        Wednesday December 7, 1:30 Ð 4:00

 

Assignments for Math 120 by Date and Section

(subject to change)

 

Date                Assignment                           Date                Assignment______

 

Aug 22 2A                                           Oct 14             9B

Aug 24 2B                                           Oct 17             9C

Aug 26 2C                                           Oct 19             9C

Aug 29 3A                                           Oct 21             Review

Aug 31 3B & 3C                                  Oct 24             5A

Sept 2              1A                                           Oct 26             5B

Sept 5              NO SCHOOL                         Oct 28             5C

Sept 7              1B                                           Oct 31             5D

Sept 9              1C                                           Nov 2              5E

Sept 12            1C                                           Nov 4              6A

Sept 14            1D                                           Nov 7              6B

Sept 16            1D                                           Nov 9              6C

Sept 19            Review                                    Nov 11            6C

Sept 21            TEST 1                                   Nov 14            6D

Sept 23            4A                                           Nov 16            Review

Sept 26            4B                                           Nov 18            TEST 3

Sept 28            4C                                           Nov 21            7A

Sept 30            4C                                           Nov 23            7B

Oct 3               4D                                           Nov 25            Thanksgiving holiday

Oct 5               4E                                            Nov 28            7D

Oct 7               Review                                    Nov 30            Review

Oct 10             TEST 2                                   Dec 2               Review for final

Oct 12             9A                                           Dec 7               Final 1:30-4:00