Course Description


Introduction to differential and integral calculus.

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, E)
EES 7 INFORMATION MANAGEMENT: Locate, select, organize and document information using appropriate technology and information systems. (T, P, E)
EES 8 INTERPERSONAL: Show respect for diverse opinions, values, belief systems and contributions of others. (P)
EES 9 INTERPERSONAL: Interact with others in groups or teams in ways that contribute to effective working relationships and the achievement of goals. (P)
EES 10 PERSONAL: Manage the use of time and other resources to complete projects. (T, P, E)
EES 11 PERSONAL: Take responsibility for one's own actions, decisions and consequences. (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.
CLO 1 - Solve problems through the application of appropriate mathematical procedures and methods.
2.
CLO 2 - Select appropriate methods to solve civil engineering technology problems.
3.
CLO 3 - Define and evaluate the concept and limit of a function. Calculate and interpret instantaneous and average slope equations. Find a derivative using delta method (definition of derivative) and calculate derivatives of polynomials, powers, products, and quotients of functions. Apply implicit differentiation and calculate higher derivatives of functions.
4.
CLO 4 - Find the equation of a line tangent or normal to a given curve, as well as velocity and acceleration of an object undergoing curvilinear motion. Sketch curves using information about functions and its derivatives (max, min, inflection, concavity). Solve related rates and max and min problems to develop solutions to problems in civil engineering technology.
5.
CLO 5 - Understand antiderivatives and the constant of integration.  Integrate functions to then calculate for area under and between curves and the volume of solid of revolution. Perform integrals of basic logarithmic, exponential and trigonometric forms as well as integration by parts to then apply and solve civil engineering technology applications.

Learning Activities


This course is delivered in-person and is comprised of any one or a combination of the following methodologies: lectures, tutorials, student active learning including group study and individual work.
 

Learning Resources


LIST OF TEXTBOOKS AND OTHER TEACHING AIDS:

Required Text or latest edition:

  1. Basic Technical Mathematics with Calculus, (Metric Version 12 e), by Allyn. J. Washington.
  2. E Textbook with My Lab Math, Pearson 


SCIENTIFIC CALCULATOR: It is necessary for each student to possess a scientific calculator. Any model of scientific calculator will suffice. However, if you are buying a scientific calculator, this model is particularly recommended for their ease of use: The Casio fx-991MS calculator.

Course Related Information


PREREQUISITES:    MATH1156, MATH1166
COREQUISITES:     None  
 

Polytechnic Related Information


ACKNOWLEDGEMENT OF THE TRADITIONAL LAND 

George Brown Polytechnic 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

Polytechnic 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.

 

POLYTECHNIC POLICIES

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

 

OFFICIAL GRADE RECORD NOTICE 

While grades may be posted in various platforms (e.g., the course Learning Managment System, course outline), the official and final grade for this course is always the one recorded in DegreeWorks. In the event of any discrepancy between posted grades and DegreeWorks, the grade in DegreeWorks will be considered the accurate and authoritative record. Students are encouraged to verify their final grades in DegreeWorks and report any concerns to the professor promptly. Please refer to your DegreeWorks Academic Progress Report in STU-VIEW (stuview.georgebrown.ca).   

 

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 Polytechnic'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 polytechnic 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 Polytechnic 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 Polytechnic 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 Polytechnic 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 polytechnic 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:

Unit Test 1 (25%)
Test on topics covered in Weeks 1 through 5 (In 2-hour tutorial class)

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

Unit Test 2 (30%)
Test on topics covered in Weeks 7 through 11 (In 2-hour tutorial class)

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

Unit Test 3 (25%)
Test on topics covered in Weeks 11 through 14 (In 2-hour tutorial class)

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

Homework (20%)
Homework Assignments (10@2% each) MyMathLab

Validates Outcomes:  CLO 1, CLO 2, CLO 3, CLO 4, CLO 5, EES 1, EES 3, EES 4, EES 5, EES 6, EES 10, EES 11

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


This course has a “Normal” grade mode, which means a letter grade will be assigned.  

The usual passing grade for this course is 50% or D. 

For further details, please refer to your Degree Works Academic Progress Report in STU-VIEW (stuview.georgebrown.ca).  

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

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. 

George Brown College Grading System:

Letter Grades

PercentLetter GradeGrade Point ValueComments
90-100A+4.0Consistently exceeds course requirements and has a superior grasp of course outcomes.
86-89.9A4.0
80-85.9A-3.7
77-79.9B+3.3Consistent performance of course requirements and has a strong grasp of course outcomes
73-76.9B3.0
70-72.9B-2.7
67-69.9C+2.3Satisfactory performance of course requirements and grasp of course outcomes.
63-66.9C2.0
60-62.9C-1.7
57-59.9D+1.3Inconsistent performance of course requirements and has a weak grasp of course outcomes
50-56.9D1.0
0-49.9F0.0Failure to meet course minimal requirements.


Special Grading Symbols (with no GPA value)

SymbolDescriptionComments
ATTAttended-non-grantedUsed to denote attendance in a semester where the course is taken over multiple terms.
CMCompleteUsed for courses or workshops that do not lend themselves to evaluation.
NPNot PassedUsed to indicate that course outcomes have not been achieved for courses that do not lend themselves to evaluation by the letter grades of “A” to “F”.
PPassedUsed to indicate that course outcomes have been achieved for courses that do not lend themselves to evaluation by the letter grades of “A” to “F”.

 

For additional information on the college’s Grading System, including the complete list of special grading symbols, please see the Office of the Registrar Policies at georgebrown.ca/about/policies