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Course Outlines

OPMT 7701

Calculus for Management

School School of Business + Media
Program Bachelor of Business Administration
Course Credits 4
Minimum Passing Grade 50%
Start Date September 07, 2021
End Date December 14, 2021
Total Hours 60
Total Weeks 15
Hours/Weeks 4
Delivery Type Lecture/Lab
Pre-requisites Acceptance into the Bachelor of Business Administration program.
CRN 47405

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 Neilu Rishi
E-mail Instructor to provide
Location SE6-360 (or online as noted on timetabling site)
Office Hours Instructor to provide

Course Description

Introduces calculus course to business students. Topics reviewed are integration, differentiation and applications of calculus to business problems. The students apply calculus through problem sets to gain skills in the various techniques.

Course Learning Outcomes/Competencies

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

  • Calculate derivatives using the basic derivative rules (power, sum/difference, product, quotient and chain rules).
  • Apply the basic derivative rules to business calculations (ex: marginal function calculations).
  • Perform one variable optimization and apply this method to business problems (ex: profit maximization).
  • Calculate the derivatives of exponential and logarithmic functions.
  • Calculate partial derivatives and apply the concept to economics and business applications (ex: level curves, elasticity, etc).
  • Perform optimization on functions of more than one variable and apply this method to business examples.
  • Perform constrained optimization using the Lagrange and Kuhn Tucker methods and apply to business examples.
  • Perform basic matrix operations (addition, subtraction, multiplication and inversion) and use these operations to solve systems of equations.

Learning Resources

Textbook and MyMathLab access (online platform): Mathematics for Economics and Business, 9th Edition, by Ian Jacques

Calculator required (non-programmable, non-graphing, cannot solve algebraic functions)

Evaluation Criteria

Knowledge Checks

10%

Homework

15%

Module Challenges

10%

Quizzes

15%

Midterm

25%

Final Exam

25%

TOTAL

100%

Course Schedule and Assignments

Date

Subject

Textbook

Sept 7

Sept 14

Module 0: Introduction and Review

Ch.1, Ch.2

Sept 21

Module 1: Power Function, Sum/Difference Rule

4.1, 4.2

Sept 28

Module 2: Product, Quotient, and Chain Rules

4.4

Oct 5

Module 3: Marginal Functions

4.2, 4.3

Oct 12

Module 4: One Variable Optimization Part (Concavity, Curve Sketching, 2nd Derivative)

4.6, 4.7

Oct 19

Module 5: Derivatives of Natural Logarithm (ln) and Natural Number (e)

4.8

Oct 26

Module 6: Partial Derivatives, Differentials, and Implicit Differentiation

5.1

Nov 2

Module 7: Level Curves, Partial Elasticity and Marginal Functions

4.5, 5.2

Nov 9

MIDTERM on Module 1 to 5 (worth 25%)

Nov 16

Module 8: Two Variable Optimization

5.3

Nov 23

Module 9A: Constrained Optimization Part I (Constrained Optimization, Lagrange)

5.5, 5.6

Nov 30

Module 9B: Constrained Optimization Part II (Multiple Constraints, Kuhn Tucker)

Handout

Dec 7

Module 10: Matrix Algebra (not included on Final Exam)

Catch up and Review

Handout

Dec 14

Final Exam cumulative (worth 25%)

Ch.4, Ch.5, Ch.7

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.
Neilu Rishi, Instructor
September 01, 2021

I verify that this course outline has been reviewed.
Denise Calvert, Part Time Studies Coordinator
September 09, 2021

I verify that this course outline has been reviewed.
Steve Yallouz, Program Head
September 09, 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.