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College Catalog 2021-2022 [ARCHIVED CATALOG]

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MATH 1360 - Finite Mathematics

Credit Hours: 4.00

Prerequisites: MATH 1000  with grade C or better; or equivalent college course; or an acceptable score on a placement or prerequisite exam

MATH 1360 is the first of two mathematics courses for students majoring in the areas of business, social science, or life science and includes applications of linear, quadratic, polynomial, exponential, and logarithmic functions; systems of linear equations and inequalities; algebra of matrices and linear programming; elements of probability theory; and applications of probability.

Billable Contact Hours: 4

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OUTCOMES AND OBJECTIVES
Outcome 1: Upon completion of this course, the student will be able to apply knowledge of linear and quadratic functions in the areas of business, life sciences, and social sciences.

Objectives

  1. Identify functions specified by equations.
  2. Use function notation to represent and evaluate functions at given values.
  3. Identify linear and quadratic equations and apply their use to business applications.

Outcome 2: Upon completion of this course, the student will be able to apply knowledge of exponential and logarithmic functions in the areas of business, life sciences, and social sciences.

Objectives:

  1. Identify and graph exponential functions.
  2. Identify and graph logarithmic functions.
  3. Apply exponential and logarithmic functions to business, life sciences, economics, and social sciences.

Outcome 3: Upon completion of this course, the student will be able to use simple interest, compound interest, and ordinary annuity formulas to find present value or future value of money and find amortization and sinking fund payments.

Objectives

  1. Apply the simple interest formula in finance problems.
  2. Apply the compound interest formula in finance problems.
  3. Apply the future value formula in problems involving annuities and sinking funds.
  4. Apply the present value formula in problems involving annuities and amortization.

Outcome 4: Upon completion of this course, the student will be able to use matrix methods to solve systems of equations and linear programming problems.

Objectives:

  1. Solve systems of linear equations using matrices.
  2. Apply the algebra of matrices to applications.
  3. Solve linear programming problems in two variables geometrically.
  4. Solve linear programming problems using the Simplex Method.

Outcome 5: Upon completion of this course, the student will be able to apply the concepts of counting, probability, and probability distributions to find the probability of events in the context of business, life science, and social science.

Objectives:

  1. Apply basic counting principles to problems of probability.
  2. Describe sample spaces and find probability of events.
  3. Describe random variables and their distributions.
  4. Solve probability problems using Empirical probabilities.
  5. Solve applied problems in conditional probability and determine if events are independent.
COMMON DEGREE OUTCOMES (CDO)
• Communication: The graduate can communicate effectively for the intended purpose and audience.
• Critical Thinking: The graduate can make informed decisions after analyzing information or evidence related to the issue.
• Global Literacy: The graduate can analyze human behavior or experiences through cultural, social, political, or economic perspectives.
• Information Literacy: The graduate can responsibly use information gathered from a variety of formats in order to complete a task.
• Quantitative Reasoning: The graduate can apply quantitative methods or evidence to solve problems or make judgments.
• Scientific Literacy: The graduate can produce or interpret scientific information presented in a variety of formats.

CDO marked YES apply to this course:
Quantitative Reasoning: YES
COURSE CONTENT OUTLINE

  1. Elementary Functions
    1. Linear functions
      1. Form of Linear Functions
      2. Graphs of Linear Functions
      3. Applications of Functions
    2. Quadratic Functions
      1. Form of Quadratic Functions
      2. Graphs of Quadratic Functions
      3. Applications of Quadratic Functions
    3. Polynomial and Rational Functions
      1. Graphs of Polynomial and Rational Functions
      2. Applications of Polynomial and Rational Functions
    4. Logarithmic and Exponential Functions
      1. Properties of Logarithmic and Exponential Functions
      2. Applications of Logarithmic and Exponential Functions
  2. Mathematics of Finance
    1. Simple Interest
    2. Compound Interest
    3. Future Value of Ordinary Annuities and Sinking Funds
    4. Present Value of Ordinary Annuities and Amortization
  3. Matrices
    1. Using Matrices to Solve Systems of Linear Equations
      1. Augmented Matrices
      2. Gauss-Jordan Elimination
    2. Matrix Equations
    3. Linear Programming and the Simplex Method
  4. Probability
    1. Basic Counting Principles
    2. Permutations and Combinations
    3. Probability Experiments
    4. Random Variable and Probability Distributions
Primary Faculty
Chapman, Lori
Secondary Faculty
Friday, David
Associate Dean
McMillen, Lisa
Dean
Pritchett, Marie

Official Course Syllabus - Macomb Community College, 14500 E 12 Mile Road, Warren, MI 48088


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