MATH 103 – The Development of Mathematics

A survey of traditional and contemporary mathematical topics developed within a historical framework and designed to develop an appreciation for the role and universality of mathematics as a cultural force in our society. Meets Gen Ed 2002 – Mathematics. Not for majors in College of Science and Mathematics.

Accessing the Course

  • To access the course from outside the lab go to montclair.mylabsplus.com
  • To log in use your NetID for your user name and six digit birthdate for your password (mmddyy). You can change your password once you log in.
  • MyLabsPlus is both PC and Mac compatible and works best with Chrome or Firefox.
  • For technical assistance please contact Pearson Tech Support by calling 1-800-677-6337.

Required Course Materials

  • Scientific Calculator, cellphones are prohibited in the center and may not be used as a calculator. Graphing calculators are not allowed on quizzes or tests.

  • Headphones for use in the Red Hawk Math Active Learning Center.

  • Notebook devoted to the course and pencil/pen. Paper is only provided during a quiz, test, or final.

  • Course Code: HSEMSA-DAHEJ-INANE-TOGUE-CENTO-ROPES

Grading

In this course you will be evaluated based on your performance on homework, quizzes, tests, comprehensive final exam, and participation. Zeros will be submitted on all assignments after the due date. Students will not be given an opportunity to make up late assignments.

  • Homework – 15% of your grade. Homework is completed through MyLabsPlus during lab time and at home. You will need to spend additional time, approximately 3-6 hours a week, outside of scheduled lab time to meet weekly objectives.
  • Quizzes – 10% of your grade. You will be able to take any quiz up to 2 times, as long as you complete the attempts before the end of your lab time on the due date. Quizzes are timed, closed notes assignments.
  • Participation – 5% of your grade. Participation grade is based on attendance during your scheduled weekly lab times. Credit will be awarded based on the completion of the check-in and check-out process, but you are expected to actively work on assignments during your lab time. Lack of participation can result in losing attendance credit for the lab period.
  • Focus Group – 5% of your grade. You will be graded on attendance and participation during each focus group session.
  • Writing Prompts – 15% of your grade. Writing prompts are presented in focus groups and submitted on Canvas. More information will be delivered in focus groups
  • Unit Tests – 30% of your grade (15% each).There are 2 Unit Tests in this course. You are allowed one attempt for each test, which must be completed before the end of your lab time on the due date. Tests are timed, closed notes assignments.
  • Final Exam – 20% of your grade. The final exam is administered in the RHMLC during your scheduled time, but may be taken early if completed before your last lab meeting. Date and time will be posted in the lab prior to finals week. Only one attempt is allowed. The final is a timed, closed notes assignment.
  • Study Plan – Course Bonus (2%). Bonus points will be awarded based on completion of 90 mastery points in the study plan.

To pass the course with a C- you must score at least a 70% total average and 60% test and quiz average.

Course Objectives

  1. Introduction to Inductive and Deductive reasoning (1.1 and 1.2)
  2. Problem Solving (1.3)
  3. Set Theory
    1. Symbols and terminology of Set Theory (2.1)
    2. Venn Diagrams and Subsets (2.2)
    3. Set Operations and Cartesian Products (2.3)
    4. Surveys (2.4)
    5. Infinite Sets and Their Cardinality (Extension)
  4. Logic
    1. Statements and Quantifiers (3.1)
    2. Truth Tables and Equivalent Statements (3.2)
    3. Conditional Statements (3.3 and 3.4)
    4. Analyzing Arguments with Euler Diagrams (3.5)
    5. Historic Numeration Systems (4.1 and 4.2)
  5. Geometry
    1. Definition of terms (9.1)
    2. Geometric Shapes (9.2)
    3. Congruent Triangles and Proofs (9.3)
    4. Perimeter, Surface area, and Volume (9.4 & 9.5)
    5. Transformational Geometry (9.6)
  6. Counting Methods
    1. Listing Methods (10.1)
    2. Fundamental Counting Principle (10.2)
    3. Combination and Permutations (10.3 & 10.4)
    4. Counting using Set Compliments (10.5)
  7. Probability
    1. Definitions (9.1)
    2. Properties of probabilities (9.2)
    3. Conditional Probability (9.4)
    4. Expected Value (9.5)
  8. Graph Theory
    1. Definitions (9.1)
    2. Euler and Hamilton Circuits (15.2 & 15.3)