Sheridan Course Outlines

Section I: Administrative Information

Total hours: 42.0
Credit Value: 3.0
Credit Value Notes: N/A
Effective: Winter 2025
Prerequisites: MATH17688
Corequisites: N/A
Equivalents: N/A
Pre/Co/Equiv Notes: N/A

Program(s): Electromechanical Eng Technic, Electromechanical Engi Technol, Electronics Engineering Techni, Electronics Engineering Techno, Mech Eng Techn - Design, Mech Eng Techy - Design, Mechanical Engineering Technic, Mechanical Engineering Technol
Program Coordinator(s): Andy Alubaidy, Jon Berge, Aravind Venkatapathy
Course Leader or Contact: Ramin Nowbakht Ghalati
Version: 20250106_00
Status: Approved (APPR)

Section I Notes: N/A

Section II: Course Details

Detailed Description
Students study concepts and operations of radian measure and rotation, exponential, logarithmic and trigonometric functions, inequalities, AC currents, polar coordinates and complex numbers with applications to AC circuits, trigonometric equations and identities, basic statistics, and solving higher order equations. Emphasis is placed on students applying these mathematical concepts and skills to solve technical and physical problems numerically, graphically, and algebraically. Students are expected to use direct entry scientific calculators proficiently. Graphing software is used to aid students in their application of mathematical skills to solve word problems.

Program Context

Electromechanical Eng Technic	Program Coordinator(s): Andy Alubaidy
This is a required core course that provides fundamental concepts to be applied in subsequent courses.
Electromechanical Engi Technol	Program Coordinator(s): Andy Alubaidy
This is a required core course that provides fundamental concepts to be applied in subsequent courses.
Electronics Engineering Techni	Program Coordinator(s): Jon Berge
This is a required core course that provides fundamental concepts to be applied in subsequent courses.
Electronics Engineering Techno	Program Coordinator(s): Jon Berge
This is a required core course that provides fundamental concepts to be applied in subsequent courses.
Mech Eng Techn - Design	Program Coordinator(s): Aravind Venkatapathy
This is a required core course that provides fundamental concepts to be applied in subsequent courses.
Mech Eng Techy - Design	Program Coordinator(s): Aravind Venkatapathy
This is a required core course that provides fundamental concepts to be applied in subsequent courses.
Mechanical Engineering Technic	Program Coordinator(s): Aravind Venkatapathy
This is a required core course that provides fundamental concepts to be applied in subsequent courses.
Mechanical Engineering Technol	Program Coordinator(s): Aravind Venkatapathy
This is a required core course that provides fundamental concepts to be applied in subsequent courses.

Course Critical Performance and Learning Outcomes

Critical Performance:

By the end of the course, students will have demonstrated the ability to use critical thinking, technology, and communication skills to solve applied technical and scientific problems involving rotation, arc length, logarithms, logarithmic and exponential functions, trigonometric functions and identities, curve fitting of data, complex numbers, inequalities and equations of higher degree using algebraic and graphical methods.

Learning Outcomes:

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

Solve applied problems involving arc length and rotation.
Graph parametric functions, sine and cosine functions, sine waves and points and functions in polar coordinates.
Apply compound angle, double angle and half angle formulas to verify trigonometric identities.
Solve trigonometric equations using trigonometric identities.
Find solutions to applied problems involving logarithmic and exponential functions.
Apply linear regression to fit a straight line or curve to a set of data.
Analyze basic statistical concepts such as mean, variance and standard deviation.
Interpret polar coordinates and complex numbers and their graphical representation to solve alternating current problems.
Solve single variable conditional inequalities graphically and algebraically.
Find the roots of a polynomial equation of degree three or higher.
Use calculators to perform mathematical operations involving the radian measure, graphs of trigonometric functions, trigonometric, exponential, logarithmic and higher order equations, linear regression, basic statistical quantities, complex numbers, and inequalities.

Evaluation Plan
Students demonstrate their learning in the following ways:

Evaluation Plan: IN-CLASS

	Assignments (1@1% each, 12@2% each)	25.0%
	Tests (3@15% each)	45.0%
	Final exam	30.0%
	Total	100.0%

Evaluation Notes and Academic Missed Work Procedure:

(The School of Mechanical and Electrical Engineering & Technology is abbreviated as MEET in this outline.) 

MEET MISSED EVALUATIONS PROCESS:
Please refer to the supporting documents posted in the Student Success in Engineering Virtual Community on SLATE.

MEET LATE ASSIGNMENT POLICY:
Assignments are due as advised by the course instructor on the Class Plan.  Late assignment submissions are not allowed and will be marked 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.
Numeracy - Execute mathematical operations accurately.
Critical Thinking & Problem Solving - Apply a systematic approach to solve problems.
Personal Skills - Take responsibility for one's own actions, decisions, and consequences.
Personal Skills - Manage the use of time and other resources to complete projects.
Information Management - Locate, select, organize and document information using appropriate technology and information systems.
Information Management Skills - Analyze, evaluate, and apply relevant information from a variety of sources.
Critical Thinking & Problem Solving Skills - Use a variety of thinking skills to anticipate and solve problems.

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: Multiple Professors
Resource(s):

	Type	Description
Required	Textbook	MEET Mathematics (with WebAssign access), Cengage (customized textbook), ISBN 9780176935740
Required	Supplies	CASIO fx-991EX CLASSWIZ Calculator
Optional	Other	On-line free software: Desmos

Applicable student group(s): Electronics Engineering Technician/Technology, Electromechanical Engineering Technician/Technology, Mechanical Engineering Technician/Technology, Mechanical Engineering Technician/Technology - Design
Course Details:

Module 1: Radian Measure and Its Applications
- Radian as a measure of angles
- Arc length
- Rotation
Learning Outcomes: 1, 11
Assignment #1 (2%)

Module 2: Graphing Sinusoidal Functions
- Graphs of sine and cosine functions
- Graphing and interpreting sine waves
Learning Outcomes: 2, 11
Assignment #2 (2%)

Module 3: Trigonometric Identities and Equations
- Compound angle, double angle and half-angle formulas
- Trigonometric identities
- Trigonometric equations
Learning Outcomes: 3, 4, 11
Assignment #3 (2%)
Assignment #4 (2%)

Test #1 (15%)

Module 4: Exponential and Logarithmic Functions
- Exponential functions, exponential equations and applications
- Logarithms, properties of logarithms, logarithmic equations and
applications
Learning Outcomes: 5, 11
Assignment #5 (2%)
Assignment #6 (2%)

Module 5: Statistics
- Mean, variance and standard deviation
- Measurement and random error
- Linear regression and line of best fit
- Curve fitting using linear regression
- Correlation coefficient
Learning Outcomes: 6, 7, 11
Assignment #7 (2%)
Assignment #8 (2%)

Test #2 (15%)

Module 6: Polar Coordinates and Complex Numbers
- Polar coordinates, graphs of polar functions
- graphs of parametric functions
- Origins of complex numbers, complex numbers as vectors
- Algebra of complex numbers in rectangular, polar and exponential forms
- Alternating current applications, RLC circuits
Learning Outcomes: 2, 8, 11
Assignment #9 (2%)
Assignment #10 (2%)
Assignment #11 (2%)

Test #3 (15%)

Module 7: Inequalities
- Linear, quadratic and rational inequalities
- Inequalities involving absolute values
Learning Outcomes: 9, 11
Assignment #12 (2%)
Module 8: Equations of Higher Degree
- Equations of higher degree
Learning Outcomes: 10, 11
Assignment #13 (1%)

Final Exam (30%)

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. Students are encouraged to engage with generative AI in teaching and learning contexts thoughtfully. Please review the Guidelines for the Responsible Use of Generative Artificial Intelligence at Sheridan College.

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. Any changes to course curriculum and/or assessment shall adhere to approved Sheridan protocol. 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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