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Course Outlines

OPMT 5700

Precalculus for Management

School School of Business + Media
Course Credits 3
Minimum Passing Grade 50%
Start Date September 14, 2021
End Date December 08, 2021
Total Hours 45
Total Weeks 13
Hours/Weeks 3.46
Delivery Type Other
Pre-requisites Diploma of Technology in Business.
CRN 32085

Acknowledgement of Territories

The British Columbia Institute of Technology acknowledges that our campuses are located on the unceded traditional territories of the Coast Salish Nations of Sḵwx̱wú7mesh (Squamish), səl̓ilwətaɁɬ (Tsleil-Waututh), and xwməθkwəy̓əm (Musqueam).

Instructor Details

Name Maryam Dehghani Estarki
E-mail Instructor to provide
Location SW02 216
Office Hours Instructor to provide

Course Description

Provides the mathematical knowledge required to move into the more advanced business math courses, especially Calculus for Management. Topics include linear and quadratic equations and inequalities, polynomials, rational functions, exponential and logarithmic functions, sequences and series. Applications to economics and finance are used.

Course Learning Outcomes/Competencies

Upon successful completion of this course, the student will be able to:

  • Perform the order of operations (BEDMAS).
  • Do calculations involving fractions, inequalities and negative numbers.
  • Graph linear equations.
  • Solve systems of equations.
  • Perform supply/demand analysis.
  • Solve quadratic equations using the formula or factoring.
  • Graph quadratic functions.
  • Solve quadratic inequalities.
  • Determine equilibrium price and quantity given a pair of quadratic demand and supply functions.
  • Perform Revenue/Cost/profit analysis such as graphing the functions, maximizing the total revenue or profit or finding the break-even level of output.
  • Graph exponential and logarithmic functions.
  • Use the exponential function to model growth.
  • Use logarithms to solve equations or find unknown parameters in simple models.
  • Calculate percent changes, inflation, and compound interest.
  • Sum up geometric series, calculate net present values, internal rates of return and compare investment projects.
  • Perform basic matrix operations such as transposition, addition, subtraction, scalar multiplication and matrix multiplication.

Learning Resources

- College Algebra, Robert Blitzer, Seventh Edition, Publisher: Pearson Education, Inc.

ISBN-10: 013446916X

ISBN-13: 978-0134469164

- Schaum's Outline of College Algebra, 4th Edition, Publisher: McGraw-Hill Education

ISBN-10: 0071821813

ISBN-13: 978-0071821810

Course Goals

Upon successful completion of the course, the student will be able to:

  • Apply fundamental mathematical functions to business and financial problems
  • Understand the use of these functions in other courses, particularly economics and calculus

Evaluation Criteria

Criteria % Comments
Introductory Video 1
Quizzes & Assignments 29weekly quizzes and assignments starting from week 2
Midterm Exam 3027 October
Final Exam 40Cumulative
Total100

Attendance Requirements

Attendance is taken in every class.

Course Specific Requirements

OPMT 5700 will be fully online, with online lectures delivered through the Virtual Classroom (Learning Hub). Students are responsible for following the online lecture schedule, attending online lectures that are delivered synchronously, watching asynchronous lectures and working on assignments.

Other information

Early Assist: Our faculty do their best to support your success. If concerns arise about your academic progress or wellbeing, your instructor might refer you to the Early Assist program. Early Assist can connect you with support services that can help you get back on track. Any concerns identified are treated confidentially. Information sent to Early Assist is in no way associated with a student’s academic record or with decisions related to student funding or academic progress. For more information, visit the Early Assist website: www.bcit.ca/earlyassist.

Statement for prior learning assessment

Makeup Tests, Exams or Quizzes: There will be no makeup tests, exams or quizzes. If you miss a test, exam or quiz, you will receive zero marks. Exceptions may be made for documented medical reasons or extenuating circumstances. In such a case, it is the responsibility of the student to inform the instructor immediately.

Ethics: BCIT assumes that all students attending the Institute will follow a high standard of ethics. Incidents of cheating or plagiarism may, therefore, result in a grade of zero for the assignment, quiz, test, exam, or project for all parties involved and/or expulsion from the course.

Attendance: The attendance policy as outlined in the current BCIT Calendar will be enforced. Attendance will be taken at the beginning of each session. Students not present at that time will be recorded as absent.

Illness: A doctor’s note is required for any illness causing you to miss assignments, quizzes, tests, projects, or exam. At the discretion of the instructor, you may complete the work missed or have the work prorated.

Course Schedule and Assignments

Week

Date

Text Reference

Topic

Assignments

& Tests

1

14/09/2021

Ch. P.1-P.4

Fundamental Concepts of Algebra

2

21/09/2021

Ch. P.5-P.6

Ch. 1.1-1.4

Fundamental Concepts of Algebra

Equations and Inequalities

Quiz 1

Assignment 1

3

28/09/2021

Ch. 1.5-1.7

Equations and Inequalities: Quadratic equations, Other types of equations, Linear inequalities

Quiz 2

Assignment 2

4

05/10/2021

Ch. 2.1-2.4

Ch. 2.5-2.8

Functions and Graphs

Quiz 3

Assignment 3

5

12/10/2021

Ch. 3.1-3.2

Polynomial and Rational Functions

Quiz 4

Assignment 4

6

19/10/2021

Ch. 3.3-3.7

Review

Polynomial and Rational Functions

Quiz 5

Assignment 5

7

26/10/2021

Midterm Exam

Assignment 6

8

02/11/2021

Ch. 5.1-5.3

Systems of Equations and Inequalities

Quiz 6

Assignment 7

9

09/11/2021

Ch. 5.4-5.6

Systems of Equations and Inequalities

Quiz 7

Assignment 8

10

16/11/2021

Ch. 6.1-6.5

Matrices and Determinants

Quiz 8

Assignment 9

11

23/11/2021

Ch. 4.1-4.5

Exponential and Logarithmic Functions

Quiz 9

Assignment 10

12

30/11/2021

Ch. 8-1-8.3,

Review

Sequences

Mathematics of Finance

Quiz 10

Assignment 11

13

07/12/2021

Final Exam

All chapters

Final Exam

Assignment 12

Course topics

Introduction to Course

Fundamental Concepts of Algebra

• Real numbers

• Algebraic expressions

• Exponents and scientific notations

• Radicals and rational exponents

• Polynomials

• Factoring polynomials

• Rational expressions

Equations, Inequalities, and Math Models

• Graphs and graphing utilities

• Linear, quadratic and rational equations

• Models and applications

• Complex numbers

• quadratic equations

• Linear inequalities and absolute value inequalities

• Formulas and applications

Functions and Graphs

• Basics of functions

• Lines and slope

Graphs of Functions

• Transformation and combinations of functions; composite and inverse functions

• Polynomial and rational functions

• Quadratic functions

• Polynomial functions and their graphs

• Dividing polynomials

• Zeros of polynomial functions

• Rational functions and their graphs

Exponential and Logarithmic Functions

• Exponential and logarithmic functions

• Properties of logarithms

• Exponential and logarithmic equations

• Exponential growth and decay; modeling data

Systems of Equations and Inequalities

• Systems of linear equations

• Partial fractions

• Systems of nonlinear equations

• Systems of inequalities

• Linear programming

Matrices and Determinants

• Matrix solutions to linear systems

• Inconsistent and dependent systems

• Multiplicative inverse of matrices and matrix equations

• Matrix operations

• Determinants and Cramer’s Rule

Sequences and Series

• Sequences and summation notation

• Arithmetic and Geometric sequences Applications

BCIT Policy

Any student who needs special assistance in the event of a medical emergency or building evacuation (either because of a disability or for any other reason) should promptly inform their course instructor(s) and Accessibility Services of their personal circumstances.

Human Rights, Harassment and Discrimination:
The BCIT community is made up of individuals from every ability, background, experience and identity, each contributing uniquely to the richness and diversity of the BCIT community as a whole. In recognition of this, and the intrinsic value of our diversity, BCIT seeks to foster a climate of collaboration, understanding and mutual respect between all members of the community and ensure an inclusive accessible working and learning environment where everyone can succeed.

Respect, Diversity, and Inclusion is a supportive resource for both students and employees of BCIT, to foster a respectful learning and working environment. Any student who feels that they are experiencing discrimination or harassment (personal or human rights-related) can confidentially access this resource for advice and support. Please see Policy 7507 – Harassment and Discrimination and accompanying procedure.

Students should make themselves aware of additional Education, Administration, Safety and other BCIT policies listed at https://www.bcit.ca/about/administration/policies.shtml

Guidelines for School of Business + Media

Attempts:
Students must successfully complete a course within a maximum of three (3) attempts at the course. Students with two attempts in a single course will be allowed to repeat the course only upon special written permission from the Associate Dean. Students who have not successfully completed a course within three attempts may not be eligible to graduate from their respective program.

Attendance:
Regular attendance in lectures and labs is seen as integral to student success, therefore, attendance in class is monitored. Unexcused absences in excess of 10% of the time prescribed for this course may result in the assignment of a failing grade. Attendance may be taken at any time during class. A student not present for attendance will be marked absent. A student who leaves class for a period of time deemed excessive by the instructor may be considered absent regardless of whether they are present when attendance is taken.

In case of illness or other unavoidable absence, students must communicate with the instructor, or the appropriate Program Head, as soon as possible (preferably in advance) indicating the reason for the absence. Students who are seeking accommodation for a medical absence must have a BCIT-approved medical certificate ). For other absences, students must be prepared to provide appropriate supporting documentation.

A student who has unexcused absences in excess of 10% of the time prescribed for the course by the Withdrawal Deadline is considered to have ‘Vanished’ and will be assigned a grade of ‘V’. In these cases, no further work will be graded.

These requirements are set out in accordance with BCIT Policy 5101 Student Regulations. More information regarding withdrawals from PTS courses is available at https://www.bcit.ca/pts/pts_withdrawals.shtml.

Approved

I verify that the content of this course outline is current.
Maryam Dehghani Estarki, Instructor
September 12, 2021

I verify that this course outline has been reviewed.
Thomas Turniawan, Program Assistant
September 13, 2021

I verify that this course outline has been reviewed.
Denise Calvert, Part Time Studies Coordinator
September 13, 2021

I verify that this course outline has been reviewed.
Steve Yallouz, Program Head
September 13, 2021

I verify that this course outline has been reviewed and complies with BCIT policy.
Kevin Wainwright, Interim Dean
September 13, 2021

Note: Should changes be required to the content of this course outline, students will be given reasonable notice.