Course Outline

COURSE OUTLINE** (2012-2013)

COURSE TITLE: QUANTITATIVE ANALYSIS I

COURSE NUMBER: MATH1930

QUARTER CREDIT HOURS: 4.5

CONTACT HOURS: 45 lecture hours

PREREQUISITE(S): MATH1020 or equivalent, or permission of department chair, or placement

COURSE DESCRIPTION:

a continuation of Algebra, this course begins with the study of linear equations and their applications to business and economics. Matrices are covered in detail. Linear programming, quadratic models and a brief introduction to differential calculus are also presented. .

COURSE OUTCOMES:

Upon satisfactory completion of this course, a student should have the ability to:

  1. Correctly perform basic algebraic operations including solving linear systems and working with rational functions on both examinations and in assigned work.
  2. Correctly graph both linear and quadratic functions, and correctly apply the laws of supply and demand, cost, revenue, profit, and consumption theories to business problems on both examinations and in assigned work.
  3. Correctly solve linear systems in either two or three unknown variables by graphical and/or algebraic methods – including matrix methods – on both examinations and in assigned work.
  4. Correctly formulate and solve linear programming problems which appear on examinations and in assigned work.
  5. Correctly differentiate polynomial and rational functions and correctly apply the same to the solution of problems in a business-related environment on both examinations and in assigned work.
  6. Demonstrate sufficient mathematical literacy as indicated by the University test for the Performance Transcript.

CONTENT OUTLINE

1. Linear Equations & Functions

  1. Linear Equations in One Variable
  2. Functions and Functional Notation
  3. Linear Functions
  4. Graphing Functions
  5. Systems of Linear Equations
  6. Applications to Business and Economics

2. Quadratic and Other Special Functions

  1. Quadratic Equations
  2. The Parabola
  3. Business Applications
  4. Polynomial and Rational Functions

3. Matrices

  1. Concepts and Definitions
  2. Addition, Subtraction and Scalar Multiplication
  3. Matrix Multiplication
  4. The Gauss-Jordan Method of Solution
  5. Matrix Inversion
  6. Applications

4. Inequalities and Linear Programming

  1. Linear Inequalities in One Variables
  2. Linear Inequalities in Two Variables
  3. Graphical Methods of Liner Programming
  4. Applications

5. Derivatives

  1. Limits
  2. Continuity; Limits at Infinity
  3. Rates of Change; The Derivative
  4. Basic Rules of Derivatives
  5. The Product and Quotient Rules
  6. The Chain and Power Rules
  7. Higher-Order Derivatives
  8. Applications to Business and Economics

REQUIRED TEXT(S)/TECHNOLOGY: Harshbarger, Reynolds, Mathematical Applications for the Management, Life, and Social Sciences 10/e, Cengage, 2009 Complete version: 978-1-133-10847-4 Customize version: 978-1-111-4131-3 Customize version with EWA (Fall 2012) 978-1-285-25188-2 a scientific or graphing calculator (smart phones/tablets/laptops are encouraged as alternatives to a calculator)

EVALUATIVE CRITERIA: 1. Periodic exams, quizzes, assignments 2. Final examination 3. Class participation/active learning

OUTCOMES ASSESSMENT: The results from testing students for the Performance Transcript in this course will be used to form a cohort for the assessment of Quantitative Literacy.

PERFORMANCE TRANSCRIPT: Quantitative Literacy, measured with the Accuplacer adaptive test of arithmetic and algebra.

WRITING INTENSIVE COURSE: N/A

HONORS OPTION: N/A

APPROVED COURSE CAPACITY: 40

CLASSROOM REQUIREMENTS: Lecture Room