Mathematics 1001 S

Quantitative Skills and Reasoning

Spring Semester 2008

Monday 6:00–8:45

Instructional Complex 220

 

Instructor:

Dr.  S. Karmakar

 

Office:

Instructional Complex 228

 

Office Hours:

MWF   11:00–1:00, 

 

M       5:00–6:00

F        2:00 - 3:00

 

And by appointment

 

Office Phone:

770 358-5833

 

E-mail:

s_karmakar@gdn.edu

 

Web Page:

www.gdn.peachnet.edu/faculty/s_karmakar

 

Prerequisite:

Exemption from or completion of Learning Support Mathematics

 

Credit:

3 semester credit hours

 

Calculator:

Graphing calculator required.  TI-83 recommended.

 

Text:

Bennett, Jeffery and Briggs, William.  Using and Understanding Mathematics: A Quantitative Reasoning Approach.  Third Edition.  Addison-Wesley.  2005.  ISBN: 0-321-227733-5

 

 

Course Description

 

This course is an alternative in Area A of the Core Curriculum and is not intended to supply sufficient algebraic background for students who intend to take Precalculus or the Calculus sequence for mathematics and science majors.  This course places quantitative skills and reasoning in the context of experiences the students will be likely to encounter.  It emphasizes processing information in context from a variety of representations, understanding of both the information and the process, and understanding which conclusions can reasonably be determined. 

 

This course will emphasize student preparation, critical thinking, and problem solving.  To do well in the course, you must read the assignment ahead of time and prepare questions, do problems from the text, and prepare for test by reviewing those problems worked in class and at home.  Over the course of the semester, you should devote about two hours of outside work for each hour in class.  Quantitative Skills and Reasoning demands your time and effort!  First, study the examples worked in class as well as those in the textbook, then practice, practice, practice problems.

 

Course Objectives

 

This objective is directed toward the following general education expected outcome of the college:

     Mathematical Skills: Students will demonstrate a basic knowledge of the fundamentals of college-level mathematics.

 

Upon completion of Quantitative Skills and Reasoning, students should have an understanding of:

    1.       Constructing and analyzing logical arguments based on the rules of inference.

    2.       Financial Management and compound interest.

    3.       Statistical reasoning; statistical graphs and tables; correlation and causality; data distributions and measures

              of variation; fundamentals of probability.

    4.       Exponential growth and modeling; doubling-time and half-life.

    5.       Linear growth and modeling.

    6.       Quadratic modeling.

 

 

 

Method of Evaluation

 

A.       There will be four (4) in-class tests given during the semester. There will be NO make-up tests given except for sickness and other emergencies in which case proper documentation is needed and the make-up test must be taken within two days of the missed test. All tests will be taken without references of any description.  Just having the correct answer to a test question will NOT earn you credit for the problem; you must use clear mathematical reasoning and clear mathematical writing to show me how you arrive at your solution

 

B.       There will also be a comprehensive Final Examination given on Wednesday, April 30, 2008 at 7:15 pm.  Gordon College policy states the Final Examinations must be taken at the scheduled time.  Therefore, students are not permitted to take the Final Examination early.  Please make your plans accordingly.

 

C.       The student’s final grade will be computed as follows:

Tests (20% each)

80%

Final Exam

  20%

TOTAL

100%

D.       The following grading scale will be used.

              89.5 or above      A                          59.5 to 69.49       D

              79.5 to 89.49       B                          Below 59.5          F

              69.5 to 79.49       C

Class Procedures

 

Attendance: Attendance at class is important.  I will take attendance by passing an Attendance Sheet for you to sign.  If your signature is not beside your name for a particular day, you are considered absent.  It is your responsibility to make sure you sign the Attendance Sheet.  Students absent two consecutive days without contacting me may be withdrawn from the course.  Students are responsible for every instruction, every change in the syllabus, and all material covered in class whether or not they are present.  Students who enroll in the course late are responsible for material covered before they enrolled.

 

Working Problems: Most students will benefit by working many, many problems for practice.  On the Tentative Course Outline is a list of suggested problems for each section covered.  These are intended to give the student practice in specific concepts that are taught in class.  The problems will not be graded.  However, I strongly encourage you to work them to better prepare for the tests.  I will use approximately the first ten minutes of class to answer any questions about the homework problems.  Math is not a spectator sport!

 

Group Work: I encourage students to work together on homework.

 

Academic Honesty: Each student must do his or her own work on exams without any assistance from any outside source not specifically authorized by me.  The student handbook details school policies on academic honesty.

 

Accommodations for Students with Learning Disabilities:  Only students who have documented their learning disabilities through the Counseling Center and present me with the paper work from Ms. Kristina Miller will be given special accommodations.

 

Classroom Etiquette: Students are expected to treat the instructor and other students with respect.  Please refrain from the following during class time:

    1.       Talking with other students (other than during classroom or group activities).

    2.       Leaving class early (other than an emergency).

    3.       Leaving the desk to sharpen a pencil in the middle of a lecture.

    4.       Consistently late coming to class.

    5.       Cell phones ringing during class.

    6.       Placing or receiving cellular phone calls during class.  

             

      Office Procedures

 

When you come to my office for help, please be prepared by doing the following.

    1.       Bring your textbook, your calculator, and you class notes.

    2.       Make sure you have read the section in the text, read the class notes, and studied the examples.

    3.       Be prepared to show me at least two odd-numbered problems, from the section, that you have worked.

    4.       Bring your incomplete or incorrect solution to each problem about which you have a question.

    5.       Ask for help as early as possible.  Don’t wait until the day of a test!

 

 

 


Tentative Course Outline

Date

Section

Mon, Jan 7

1A: Recognizing Fallacies

1B: Propositions and Truth Values

1C: Sets and Venn Diagrams

Mon, Jan 14

1D: Analyzing Arguments

2A: The Problem-Solving Power of Units

4B: The Power of Compounding

Mon, Jan 21

Martin Luther King, Jr. Day       College Closed

Mon, Jan 28

Review

Test I

5A: Fundamentals of Statistics

Mon, Feb 4

5A: Fundamentals of Statistics

5B: Should You Believe a Statistical Study?

5C: Statistical Tables and Graphs

Mon, Feb 11

5D: Graphs in the Media

5E: Correlation and Causality

Review

Mon, Feb 18

Test II

6A: Characterizing a Data Distribution

6B: Measures of Variation

Mon, Feb 25

6B: Measures of Variation

7A: Fundamentals of Probability

8A: Growth: Linear versus Exponential

March 3 – March 7

SPRING BREAK      No Classes

Mon, Mar 10

8B: Doubling-Time and Half-Life

8C: Real Population Growth

Review

Mon, Mar 17

Review

TEST III

Mon, Mar 24

9A: Functions: The Building Blocks of Mathematical Models

9B: Linear Modeling

Unit 9B Supplement

Mon, Mar 31

Supplement (concluded)

9C: Exponential Modeling

Unit 9C Supplement

Mon, April 7

Handout: Quadratic Functions and Modeling

Mon, April 14

Review

Mon, April 21

Test IV

Mon, April 28

Review

Wed, April 30 

Final Exam   (7:15 – 9:15 pm)