Math 322: Elementary Theory of Arithmetic II

Course Description

Liberal Studies Objectives

• Demonstrate the ability to locate, analyze, synthesize, and evaluate information;
  
• Demonstrate the ability to interpret and use numerical, written, oral and visual data;
  
• Demonstrate the ability to read with comprehension, and to write and speak clearly, coherently, and effectively as well as to adapt modes of communication appropriate to an audience;
  
• Demonstrate the ability to critically analyze arguments; demonstrate the ability to recognize behaviors and define choices that affect lifelong well-being;
  
• Demonstrate an understanding of
  • Past human experiences and ability to relate them to the present;
  • Different contemporary cultures and their interrelationships;
  • Issues involving social institutions, interpersonal and group dynamics, human development and behavior, and cultural diversity; scientific concepts and methods as well as contemporary issues in science and technology;

C2: Mathematics Objectives (pending approval)

• Students will be introduced to applications of mathematics in daily experience.
  
• Student learning will be focused on the development of conceptual understanding rather than computational drill.
  
• An assignment in which students display an application of mathematics will be required. This assignment will address an application of mathematics, which may include statistics, optimization, linear regression, the mathematics of motion, or the mathematics of population growth.

Course Specific Objectives

1. Learn to use words, symbols, and techniques of mathematics with precision so as to communicate concepts and ideas correctly and clearly.
   
2. Experience the satisfaction of mathematics discovery which stimulates curiosity, initiative, confidence, and interest in mathematics.
   
3. Develop patterns of reasoning which enable one to investigate unfamiliar situations.
   
4. Develop understanding and appreciation of the structure of the number system, elementary number theory, and the use of algebra and geometry.
   
5. Develop an ability to organize mathematics experiences as a means of discovery rather than presentations of a fixed set of facts and procedures.

Text

Grading Procedure

Attendance Policy

Course Outline

• Chapter 5: The System of Integers and Elementary Number Theory (6 days)

  Sections 3-4: Divisibility, Primes, Composites and Factorization; Greatest Common Divisor and Least Common Multiple.
  
  

• Chapter 4: Whole Numbers and Numeration (8 days)

  Sections 1-2 and 5-6: Whole Number Addition, Subtraction and Order; Whole Number Multiplication and Division; Addition and Subtraction Algorithms; Multiplication and Division Algorithms.
  
  

• Chapter 5: The System of Integers and Elementary Number Theory (7 days)

  Sections 1-2: The System of Integers, Addition and Subtraction; Integer Multiplication and Division.
  
  

• Chapter 6: Introduction To The Rational Numbers (10 days)

  Sections 1-5: The Set of Rational Numbers; Addition and Subtraction of Rational Numbers; Multiplication and Division of Rational Numbers; Ratio and Proportion; The Rational Number System.
  
  

• Chapter 7: From Rational Numbers To Real Numbers (10 days)

  Sections 1-4: Introduction to Decimals; The Arithmetic of Decimals; The Language of Percent; The Real Number System.
  
  

• Chapter 8: Consumer Mathematics (4 days)

  Sections 1-3: Some Comparisons of Interest Rates; Calculator Approach to Annuities; Present Value of an Annuity and APR.