Course Description


This course includes basic concepts of the differential calculus for functions of one variable: limit and continuity; the definition of derivative; differentiation rules and techniques; and their application to geometrical and mechanical problems.

Essential Employability Skills


This course contributes to your program by helping you achieve the following Essential Employability Skills:

EES 1 COMMUNICATION: Communicate clearly, concisely and correctly in the written, spoken and visual form that fulfills the purpose and meets the needs of the audience. (T, P, E)
EES 2 COMMUNICATION: Respond to written, spoken or visual messages in a manner that ensures effective communication. (T, P)
EES 3 NUMERACY: Execute mathematical operations accurately. (T, P, E)
EES 4 CRITICAL THINKING & PROBLEM SOLVING: Apply a systematic approach to solve problems. (T, P, E)
EES 5 CRITICAL THINKING & PROBLEM SOLVING: Use a variety of thinking skills to anticipate and solve problems. (T, P, E)
EES 6 INFORMATION MANAGEMENT: Analyze, evaluate and apply relevant information from a variety of sources. (T, P)
EES 7 INFORMATION MANAGEMENT: Locate, select, organize and document information using appropriate technology and information systems. (T, P)
EES 10 PERSONAL: Manage the use of time and other resources to complete projects. (T, P, E)
Assessment Levels —T: Teach P: Practice E: Evaluate C: Culminate 

Course Learning Outcomes


When you have earned credit for this course, you will have demonstrated the ability to:

1.
CLO1: Employ standard mathematical language and symbolism to express ideas.
2.
CLO2: Examine the methods of differentiation and their applications.
3.
CLO3: Demonstrate an understanding of concepts and methods listed in the above Course Description.
4.
CLO4: Optimize a situation by realizing the best possible outcome.
5.
CLO5: Demonstrate mastery in using various methods, solution procedures and mathematical tools to evaluate limits, find derivative of a function, and integrate a given function to find its antiderivative.
6.
CLO6: Apply appropriate methods and principles to solve problems related to the instantaneous rate of change in various disciplines.
7.
CLO7: Apply integration to find areas, and volumes as well as to apply integration in situations related to the physical concepts of work, power, and center of mass.

Learning Activities


This course is in compliance with learning based educational principles.  Practice problems outside the class reinforce classroom presentation and discussion of material.

Students are expected to be in attendance during timetabled periods for:
  • Presentation of new material 
  • Problem solving examples 
  • Testing 
  • In-class review of difficult homework problems 
  • Group discussions (as time permits)

Learning Resources


Required:
BASIC TECHNICAL MATHEMATICS WITH CALCULUS, (9th Edition, SI Version)

Allyn J. Washington, The Benjamin/Cummings Publishing Co.,2009
ISBN-13: 978-0-13-506712-3  or  ISBN-10: 0-13-506712-X

Students must possess and bring to all classes a working scientific calculator.

Course Related Information


PREREQUISITES: MATH 1171

Polytechnic Related Information


ACKNOWLEDGEMENT OF THE TRADITIONAL LAND 
George Brown College is located on Treaty 13, the traditional territory of the Mississaugas of the Credit First Nation and neighbouring Indigenous Peoples who continue to live in the area. Today, this meeting place is still home to many distinct Indigenous peoples from across Turtle Island. We are grateful to share this land as treaty people who learn, work, and live in the community with each other. 

PROGRAM LEARNING OUTCOMES
College programs are designed to deliver program learning outcomes that relate to the unique content of a particular area of study. To review the specific program learning outcomes for your program, please go to your program page on the George Brown College website at https://www.georgebrown.ca/

IMPORTANT PROGRAM INFORMATION 
Students are advised to consult program coordinators regarding specific requirements for successfully completing their program, including adding/dropping courses and other issues that might disrupt their course of study.
 
RETENTION OF COURSE OUTLINES
Students are expected to retain their course outlines to support learning in the course and for future use in applications for transfer of credit to other educational institutions.

COLLEGE POLICIES
It is essential that students review all college policies, including Academic Policies available at https://www.georgebrown.ca/policies.

ACADEMIC INTEGRITY
Academic Integrity is a commitment, even in the face of adversity, to honesty, trust, fairness, respect, responsibility, and courage. Academic integrity ensures the credibility of our education system, promotes fair assessment, and prepares students for ethical professional practices. Use of unauthorized assistance in any form of academic work (e.g., assignments, written tests or assessments, portfolios, or any other assessment) is prohibited and constitutes academic misconduct. 

Academic misconduct occurs when a student engages in a breach (such as cheating, plagiarism, or failing to disclose the use of Generative AI) to try to gain an unfair advantage. Students are required to read and understand the College’s Academic Integrity Policy. If you are uncertain about academic integrity expectations, including whether the use of generative AI is permitted, please speak to your professor. To support these principles, professors may request the use of various tools, including text matching software, to detect and prevent academic integrity violations.

LEARNING RESOURCE COSTS
The learning resource costs webpage provides students with information on the estimated mandatory and optional learning resources for their program, and their associated costs. Please review the information relevant to this course at the following link: https://www.georgebrown.ca/learning-costs. Please note that the College is not responsible for any discrepancy between any costs stated on this course outline and those listed on the learning costs webpage. Students are encouraged to refer to the learning costs resources webpage via the link above. 

Program learning resources, materials and associated costs are subject to change without notice. Students should not purchase any course materials until directed to do so by program staff or course professors at the outset of their semester and/or course.  

Given the dynamic nature of retail pricing, the college does not guarantee the accuracy or completeness of the information provided on the learning costs’ webpage. Note, also, that these documents do not constitute a representation, offer or warranty.

DIGITAL LEARNING REQUIREMENTS 
Students are required to have access to a computer and to the internet. There may also be additional technology-related requirements to participate in a course, such as headphones, webcams, specialized software, etc. Details on these requirements can be found in the course outline for each course. 

The Library Learning Commons (LLC) has a limited number of devices including laptops and portable WIFI devices to support students; however, the LLC cannot guarantee access to a device for all students.  

ACCESSIBLE LEARNING SERVICES FOR STUDENTS 
Accessible Learning Services facilitates academic support and services for George Brown College students with physical, sensory, learning, medical or mental health disabilities. Delivered in collaboration with academic departments and other service areas, these services are available to students in all programs at all campuses.  

George Brown College is committed to upholding a student’s right to individualized and timely accommodation that promotes dignity, independence, autonomy, equity, and inclusion for the student. In addition to our current supports, we are working to eliminate barriers by increasing access to alternate formats, planning accessible buildings and classrooms, enhancing employee training, and adopting inclusive practices in placement and on campus.  

Only those involved in a student’s accommodation plan shall be alerted to their registration with Accessible Learning Services, and a student’s registration with Accessible Learning Services will not be identified on the student’s official college transcript and/or graduation documentation. For more information, please visit the
Accessible Learning Services website at http://www.georgebrown.ca/accessible-learning-services/ or call 416-415-5000 ext. 2622 or email letstalk@georgebrown.ca 

EQUITY STATEMENT 
George Brown College values the diversity of our students, employees, and community partners, and is committed to providing a learning environment where all people are safe and respected. Comments, behaviours, or interactions that are inconsistent with our values may be a violation of the following college policies: Sexual Assault and Sexual Violence, Human Rights Discrimination and Harassment, and the Prevention of Workplace Violence and Harassment. These types of actions or comments are not acceptable and will not be tolerated. The commitment and cooperation of all students and employees is required to maintain a welcoming environment in which to learn and work.  

Support and information are available through a Human Rights Advisor at diversity@georgebrown.ca or the Sexual Violence Response Advisor at svra@georgebrown.ca 

For information on the relevant policies visit https://www.georgebrown.ca/diversity/ 

 

Pre-defined Evaluation / Earning Credit


The following list provides evidence of this course's learning achievements and the outcomes they validate:

Test(s) (25%)
Test 1 Introduction to Differentiation

Validates Outcomes:  CLO 1, CLO 2, CLO 3, CLO 4, CLO 5, CLO 6, EES 1, EES 2, EES 3, EES 4, EES 5, EES 6, EES 10

Test(s) (25%)
Test 2 Derivative Applications

Validates Outcomes:  CLO 1, CLO 2, CLO 3, CLO 4, EES 1, EES 3, EES 4, EES 5, EES 6, EES 10

Test(s) (30%)
Introduction to Integration

Validates Outcomes:  CLO 1, CLO 2, CLO 3, CLO 4, CLO 7, EES 1, EES 3, EES 4, EES 5, EES 6, EES 10

Assignment(s) (20%)
10 on-line assignments, given during each 2-hour class that occurs in a non-testing week

Validates Outcomes:  CLO 1, CLO 2, CLO 3, CLO 4, CLO 5, CLO 6, CLO 7, EES 1, EES 2, EES 3, EES 4, EES 5, EES 6, EES 7, EES 10

Prior Learning Assessment and Recognition


Students who wish to apply for Prior Learning Assessment and Recognition (PLAR) need to demonstrate competency at a post-secondary level in all outlined course learning outcomes. Evidence of learning achievement for PLAR candidates includes:

  • This course is PLAR eligible, please see Program Coordinator/Chair for more information.

Grade Scheme


The passing grade for this course is 50% / "D"
Final Grade Percentage Weight
A+ 90-100 4.0
A 86-89 4.0
A- 80-85 3.7
B+ 77-79 3.3
B 73-76 3.0
B- 70-72 2.7
C+ 67-69 2.3
C 63-66 2.0
C- 60-62 1.7
D+ 57-59 1.3
D 50-56 1.0
Below 50 0.0

Refer to the Evaluation System on this outline for information on how marks are distributed. More detailed information on assessments may also be found in your Course Section document.

As per Office of the Registrar Policies:

“A” Range = GPA 4.0-Consistently exceeds (course) requirements; shows evidence of being well-organized; shows original and creative thinking and a superior grasp of subject matter.

“B” Range = GPA 3.0-Shows consistent performance and evidence of being well-organized, shows elements of original and creative thinking; has a strong grasp of subject matter

“C” Range = GPA 2.0-Applies the subject matter appropriately; comprehends the subject matter.”

"D" Range = GPA 1.0-The student inconsistently applies and communicates knowledge of the subject matter

"F" Range = GPA 0.0-The student fails to apply and communicate an understanding of the subject matter.

Additional information regarding grading for this course may also be found in the "Course Related Information" section of this course outline.