MATH18263
Mathematical Functions for Business
Sheridan
 
  I: Administrative Information   II: Course Details   III: Topical Outline(s)  Printable Version
 
Section I: Administrative Information
  Total hours: 54.0
Credit Value: 0.0
Credit Value Notes: N/A
Effective: Winter 2020
Prerequisites: N/A
Corequisites: N/A
Equivalents: N/A
Pre/Co/Equiv Notes: N/A

Program(s): N/A
Program Coordinator(s): N/A
Course Leader or Contact: N/A
Version: 20200106_00
Status: Approved (APPR)

Section I Notes: This course may be offered in multiple formats including face-to-face, hybrid, or online. This mathematics course is offered in the Pilon School of Business and delivered by Faculty of Continuing and Professional Studies. This is an upgrading course required as a condition of acceptance to the BBA programs for those who do not have the prerequisite 12U math courses (i.e. Mathematics, Grade 12 Advanced Functions (MHF4U or equivalent) with a minimum 60%, or Grade 12 Calculus and Vectors (MCV4U or equivalent) with a minimum 60%).

 
 
Section II: Course Details

Detailed Description
Students develop an understanding of mathematical functions (linear, quadratic, polynomial, rational, exponential and logarithmic) and use them to model and solve problems including those from business contexts. Students familiarize themselves with basic terms, concepts and techniques of calculus, including finding and applying derivatives to solve problems from a business context, and understanding rates of change and concepts in calculus which are used to model business relationships.

Course Critical Performance and Learning Outcomes

  Critical Performance:
By the end of this course, students will be able to solve basic business application problems in preparation for business mathematics courses.
 
Learning Outcomes:

To achieve the critical performance, students will have demonstrated the ability to:

  1. Identify the characteristics of functions
  2. Represent linear, quadratic, polynomial, rational, exponential, logarithmic and discrete functions, numerically
  3. Represent linear, quadratic, polynomial, rational, exponential, logarithmic and discrete functions, algebraically
  4. Represent linear, quadratic, polynomial, rational, exponential, logarithmic and discrete functions, graphically
  5. Model a variety of problems from a business setting, including multi-step problems involving applications of functions
  6. Solve a variety of problems, including multi-step problems involving applications of functions
  7. Connect graphical, numerical, and algebraic representations of functions as necessary to solve real world problems in a business context
  8. Apply rules of differentiation
  9. Solve problems from a business context involving rates of change

Evaluation Plan
Students demonstrate their learning in the following ways:

 Evaluation Plan: IN-CLASS
 Quizzes (7 x 10%)70.0%
 Final Exam (comprehensive)30.0%
Total100.0%

Evaluation Notes and Academic Missed Work Procedure:
Student taking this course as a BBA Admission requirement will have to achieve a minimum final grade of 60% or more in this course.

Provincial Context
The course meets the following Ministry of Colleges and Universities requirements:


 

Prior Learning Assessment and Recognition
PLAR Contact (if course is PLAR-eligible) - Office of the Registrar

  • Not Eligible for PLAR

 
 
Section III: Topical Outline
Some details of this outline may change as a result of circumstances such as weather cancellations, College and student activities, and class timetabling.
Instruction Mode: In-Class
Professor: Multiple Professors
Resource(s):
 TypeDescription
OptionalTextbookCollege Mathematics for Business, Economics, Life Sciences, and Social Sciences, Michael Ziegler, Karl Byleen, Raymond Barnett, Thirteenth Edition

Applicable student group(s): Applicants to the Bachelor of Business Administration programs in the Pilon School of Business.
Course Details:

Module 1: Review of Essential Foundational Math Skills
Fractions, Decimal, Percents
Exponents, Roots and Radicals
Order of Operations
Simple Arithmetic and Algebra
QUIZ #1 (10%)

Module 2: Characteristics of Functions
Represent functions
Apply linear and quadratic functions to simple problems
Determine equivalent algebraic expressions
QUIZ #2 (10%)

Module 3: Quadratic Functions
Solve quadratic equations
Connect equations and graphs of quadratic functions
Model and solve problems using quadratic functions
QUIZ #3 (10%)

Module 4: Exponential Functions
Represent exponential functions
Connect equations and graphs of exponential functions
Model and solve problems using exponential functions
QUIZ #4 (10%)

Module 5: Logarithmic Functions
Exponents and Logarithms
Evaluate logarithmic expressions
Connect equations and graphs of logarithmic functions
Model and solve problems using logarithmic functions
QUIZ #5 (10%)

Module 6: Polynomial and Rational Functions
Connect equations and graphs of polynomial functions
Connect equations and graphs of rational functions
Model and solve problems using polynomial and rational functions
Model and solve inequalities
QUIZ #6 (10%)

Module 7: Introduction to Calculus and Expanded Characteristics of
Functions Demonstrate an understanding of the terms and concepts of
calculus
Apply rules of differentiation to functions (linear, quadratic,
polynomial, rational, exponential, and logarithmic)
Understand rates of change and how they can be used to analyze
problems in a business setting
QUIZ #7 (10%)

Module 8: Second Derivatives and Partial Derivatives
Find second derivatives and partial derivatives by applying rules of differentiation to functions
Understand how second derivatives and partial derivatives can be used to analyze problems in a business setting


Final Exam - Comprehensive (30%)



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