Northeastern State University

College of Mathematic, Science and Nursing

Department of Mathematics

Syllabus for Math 1473 Mathematical Structures (I)



PREREQUISITES: A mathematics ACT score of 19 or above or a score of 15 or above on the mathematics placement test or a CPT score of 75 or above or a grade of C or better in Math 0133.

CATALOG DESCRIPTION OF COURSE: A study of the fundamental structures of mathematics for non-mathematics majors. Topics include: problem solving, estimation, set theory, number theory, algebraic equations, inequalities, and applications. No major or minor credit in mathematics.

COURSE PURPOSE: This course has been designated as an approved liberal arts course. It is a broad overview of set and number theory, logic, numeration systems, algebraic equations and inequalities, and problem solving with applications.

EXPECTED COURSE OUTCOMES: The student will be expected to achieve the following objectives:

  • Compute fluently and make reasonable estimates
  • Use inductive reasoning to recognize patterns and form conjectures
  • Apply and adapt a variety of appropriate strategies to solve problems
  • Identify and describe sets, relationships among sets and apply set theory concepts to everyday applications
  • Make and test conjectures and formulate counterexamples
  • Follow logical arguments and judge the validity of arguments
  • Describe and explain number concepts, methods of representing numbers, relationships among numbers, and number systems
  • Understand patterns, relations, and functions
  • Represent and analyze mathematical situations and structures using algebraic symbols
  • Solve linear equations and inequalities
  • Determine mathematical equations to represent and understand relationships
  • Develop graphs as tools to interpret expressions, equations, and inequalities

INSTRUCTIONAL MATERIALS: (Required Textbook) A Survey of Mathematics with Applications by Angel and Porter, Addison Wesley Publishing 2001 (6th Edition).

INSTRUCTIONAL PROCEDURES:

The expected course outcomes will be realized through a variety of instructional strategies. Those strategies include, but are not limited to, the following: lecture, expository-discussion, demonstration, inquiry, and group activities. The instructor also will integrate appropriate multi-media technology.

Mathematical Structures I

I. Critical Thinking Skills

  • Inductive Reasoning
  • Estimation
  • Problem Solving

II. Sets

  • Set Concepts
  • Subsets
  • Venn Diagrams and Set Operations
  • Venn Diagrams with Three Sets and Verification of Equality of Sets
  • Applications of Sets
  • Infinite Sets

III. Logic

  • Statements and Logical Connectives
  • Truth Tables for Negation, Conjunction, and Disjunction
  • Truth Tables for the Conditional and Biconditional
  • Equivalent Statements
  • Symbolic Arguments
  • Euler Circles and Syllogistic Arguments

IV Systems of Numeration

  • Additive, Multiplicative, and Ciphered Systems of Numeration
  • Place-Value or Positional-Value Numeration Systems
  • Other Bases
  • Computation in Other Bases
  • Early Computational Methods

V. Number Theory and The Real Number System

  • Number Theory
  • The Integers
  • The Rational Numbers
  • The Irrational and the Real Numbers
  • Real Numbers and Their Properties
  • Rules of Exponents and Scientific Notation
  • Arithmetic and Geometric Sequences
  • Fibonacci Sequence

    VI . Algebra, Graphs, and Function
  • Order of Operations
  • Linear Equations in One Variable
  • Formulas
  • Applications of Linear Equations in One Variable
  • Linear Inequalities
  • Graphing Linear Equations
  • Solving Quadratic Equations by Using Factoring and by Using the Quadratic Formula

ADA COMPLIANCE: If any member of the class feels that he/she has a disability and needs special accommodations of any nature whatsoever, the instructor will work with you and the University's Office of Student Affairs to provide reasonable accommodations to ensure that you have a fair opportunity to perform in this class. Please advise the instructor of such disability and the desired accommodations at the first class attended.

INCLEMENT WEATHER / DISASTER POLICY: The following are basic premises for the inclement weather policy at Northeastern State University:

1. Classes are expected to be held if at all possible.

2. It is the student's responsibility to receive the information when weather is questionable.

3. Neither students nor faculty are expected to risk life or limb.

4. Faculty members are obligated to hold classes if the University is not closed, unless the faculty member is unable to get to campus.

Policy: During times of inclement weather, decisions concerning day classes will be made by 6:00 a.m. in order for the media to be notified and for students to receive the announcement before they leave home. Decisions concerning night classes will be made by 3:00 p.m.

The following media will be notified regarding closing of the campus:

Radio Stations: Television Stations:
KRMG 740 AM Tulsa KJRH Channel 2 Tulsa

KAYI 107 FM Tulsa KOTV Channel 6 Tulsa

KTLQ 1350 AM Tahlequah KTUL Channel 8 Tulsa

KEOK 102 FM Tahlequah KFSM Channel 5 Fort Smith

KBIX 1490 AM Muskogee Cable Channel 96 Tahlequah

KMMY 97 FM Muskogee

KVOO 1170 AM Tulsa
The automated attendant message on 918-456-5511 will be modified to include information concerning campus operations during inclement weather.