MATH18263
Mathematical Functions for Business |
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Section I: Administrative Information
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Total hours: 54.0
Credit Value: 0.0
Credit Value Notes: N/A
Effective: Fall 2021
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: Emily Brown
Version: 20210907_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%).
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Section II: Course Details
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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
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Critical Performance: |
| By the end of this course, students will be able to solve basic business application problems in preparation for business mathematics courses.
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Learning Outcomes:
To achieve the critical performance, students will have demonstrated the ability to:
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- Identify the characteristics of functions
- Represent linear, quadratic, polynomial, rational, exponential, logarithmic and discrete functions, numerically
- Represent linear, quadratic, polynomial, rational, exponential, logarithmic and discrete functions, algebraically
- Represent linear, quadratic, polynomial, rational, exponential, logarithmic and discrete functions, graphically
- Model a variety of problems from a business setting, including multi-step problems involving applications of functions
- Solve a variety of problems, including multi-step problems involving applications of functions
- Connect graphical, numerical, and algebraic representations of functions as necessary to solve real world problems in a business context
- Apply rules of differentiation
- Solve problems from a business context involving rates of change
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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% | | Total | 100.0% |
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.
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Provincial Context
The course meets the following Ministry of Colleges and Universities requirements:
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Prior Learning Assessment and Recognition
PLAR Contact (if course is PLAR-eligible) - Office of the Registrar
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Section III: Topical Outline
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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): | Type | Description | Optional | Textbook | College Mathematics for Business, Economics, Life Sciences, and Social Sciences, Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen, and Christopher J. Stocker, Pearson, 14th 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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It is recommended that students read the following policies in relation to course outlines:
- Academic Integrity
- Copyright
- Intellectual Property
- Respectful Behaviour
- Accessible Learning
All Sheridan policies can be viewed on the Sheridan policy website.
In alignment with Sheridan's Academic Integrity Policy, students should consult with their professors and/or refer to evaluation instructions regarding the appropriate use, or prohibition, of generative Artificial Intelligence (AI) tools for coursework. Turnitin AI detection software may be used by faculty members to screen assignment submissions or exams for unauthorized use of artificial intelligence.
The information contained in this Course Outline including but not limited to faculty and program information and course description is subject to change without notice. Nothing in this Course Outline should be viewed as a representation, offer and/or warranty. Students are responsible for reading the Important Notice and Disclaimer which applies to Programs and Courses.
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