Sheridan Course Outlines

Land Acknowledgement

Sheridan College resides on land that has been, and still is, the traditional territory of several Indigenous nations, including the Anishinaabe, the Haudenosaunee Confederacy, the Wendat, and the Mississaugas of the Credit First Nation. We recognize this territory is covered by the Dish with One Spoon treaty and the Two Row Wampum treaty, which emphasize the importance of joint stewardship, peace, and respectful relationships.

As an institution of higher learning Sheridan embraces the critical role that education must play in facilitating real transformational change. We continue our collective efforts to recognize Canada's colonial history and to take steps to meaningful Truth and Reconciliation.

Section I: Administrative Information

Total hours: 42.0
Credit Value: 3.0
Credit Value Notes: N/A
Effective: Spring/Summer 2024
Prerequisites: MATH22981
Corequisites: N/A
Equivalents: N/A
Pre/Co/Equiv Notes: N/A

Program(s): Chem. Eng. Tech-Environmental, Chemical Eng. Technology
Program Coordinator(s): Roxan Richards-Johnson, Manju Sunil Varghese
Course Leader or Contact: Anita Usas Neving
Version: 20240506_00
Status: Approved (APPR)

Section I Notes: N/A

Section II: Course Details

Detailed Description
Students learn how to apply integration to applied problems specific to their discipline. The emphasis in this course is not only on how calculus works but also on why a specific mathematical model is the best method for a particular problem. Students approach problem solving of engineering applications through numerical, algebraic and graphing techniques. A final multi-step project in their area of discipline allows the students to problem solve while applying their mathematical skills and concepts.

Program Context

Chem. Eng. Tech-Environmental	Program Coordinator(s): Roxan Richards-Johnson, Manju Sunil Varghese
This is the fourth of five mathematics courses which prepare students to apply mathematics in the other courses of their program.
Chemical Eng. Technology	Program Coordinator(s): Roxan Richards-Johnson, Manju Sunil Varghese
This is the fourth of five mathematics courses which prepare students to apply mathematics in the other courses of their program.

Course Critical Performance and Learning Outcomes

	Critical Performance:
	By the end of this course, students will have demonstrated the ability to analyze mathematical models of applications involving motion problems, work done by a variable force, moments, area between curves, volumes of revolution, rate of change or integration applications specific to their discipline.

Learning Outcomes:

To achieve the critical performance, students will have demonstrated the ability to:

Demonstrate visually the concept of antiderivatives.
Evaluate definite integrals of algebraic, exponential, logarithmic, trigonometric and rational functions.
Evaluate definite integrals using integration by parts and substitution methods.
Apply the fundamental theorem of calculus to interpret the area as antiderivative.
Approximate definite integrals.
Solve applied problems that involve distance, velocity and acceleration by graphical and analytic methods.
Solve separable differential equations in applied contexts.
Solve applied problems by setting up and evaluating definite integrals that represent physical quantities such as area, volume, mass, work, force, centroids, fluid pressure or other discipline related applications.
Report in written form the solution to a multi-step integration application problem.

Evaluation Plan
Students demonstrate their learning in the following ways:

Evaluation Plan: IN-CLASS

	Assignments	20.0%
	Quizzes	10.0%
	Skills Test	25.0%
	Project	20.0%
	Final Exam	25.0%
	Total	100.0%

Evaluation Notes and Academic Missed Work Procedure:

All missed and late work in this course is subject to the rules and regulations outlined in the Chemical and Environmental Sciences Student Handbook.

CHEM DUAL PASS PROVISION:

Regardless of the final total mark, students must obtain at least 50% on the exam/theory/test(s) and 50% on the lab/project(s)/assignment(s) component of this course in order to obtain a passing grade.

CHEM MISSED EVALUATIONS PROCESS:

Please refer to the supporting documents posted in the Student Success in Engineering Virtual Community on SLATE.

CHEM LATE ASSIGNMENT POLICY:

Assignments and Lab Reports are due as advised by the instructor.  Late submission will attract a 10% deduction per day, to a maximum of 30%.  Assignments submitted after 3 days late will be awarded a grade of zero.

Provincial Context
The course meets the following Ministry of Colleges and Universities requirements:

Essential Employability Skills
Essential Employability Skills emphasized in the course:

Communication Skills - Communicate clearly, concisely and correctly in the written, spoken, visual form that fulfills the purpose and meets the needs of the audience.
Communication Skills - Respond to written, spoken, or visual messages in a manner that ensures effective communication.
Critical Thinking & Problem Solving Skills - Use a variety of thinking skills to anticipate and solve problems.
Critical Thinking & Problem Solving - Apply a systematic approach to solve problems.
Information Management Skills - Analyze, evaluate, and apply relevant information from a variety of sources.
Information Management - Locate, select, organize and document information using appropriate technology and information systems.
Numeracy - Execute mathematical operations accurately.
Personal Skills - Manage the use of time and other resources to complete projects.

Prior Learning Assessment and Recognition
PLAR Contact (if course is PLAR-eligible) - Office of the Registrar
Students may apply to receive credit by demonstrating achievement of the course learning outcomes through previous relevant work/life experience, service, self-study and training on the job. This course is eligible for challenge through the following method(s):

Challenge Exam
Notes:

Section III: Topical Outline

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: tba
Resource(s):

	Type	Description
Required	Textbook	WileyPLUS Standalone Technical Math, Paul Calter and Michael Calter, John Wiley & Sons Inc, 3rd Cdn Edition

Applicable student group(s): Faculty of Applied Science & Technology
Course Details:

MODULE 1:
- The concept of anti-derivatives and indefinite integrals
(Learning Outcome #1)

MODULE 2:
- Rules for finding anti-derivatives and table of integrals
- Definite integrals
- Integration of logarithmic, exponential and trigonometric functions
- Integration by parts, by algebraic substitution, by trigonometric substitution
- Integration of rational functions
(Learning Outcomes #2-3)

Quiz 1 and Quiz 2

MODULE 3:
- Fundamental theorem of calculus and area
- Simpson and trapezoidal rules
(Learning Outcomes #4-5)

SKILLS TEST

MODULE 4:
- Area of a plane region
- Volumes of solids of revolution
(Learning Outcome #8)

Module 5:
- Applications of integrals to motion
(Learning Outcome #6)

Module 6:
- Differential equations and applications
(Learning Outcome #7)

Module 7:
- Centroids of plane regions
- Fluid pressure
- Work done by a force
- Discipline applications
(Learning Outcome # 8)

Module 8:
- Project
(Learning Outcome #9)

FINAL EXAM

Sheridan Policies

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.

Appropriate use of generative Artificial Intelligence tools: 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.

Course Outline Changes: 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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