Course Outline
Course Name: Technical Mathematics 1 (TMTH 105)
Academic Period: 2023 - 2024
Faculty:
Faculty Availability:
Associate Dean:
Mike Wells
mike.wells@humber.ca
Schedule Type Code:
Land Acknowledgement
Humber College is located within the traditional and treaty lands of the Mississaugas of the Credit. Known as Adoobiigok [A-doe-bee-goke], the “Place of the Alders” in Michi Saagiig [Mi-Chee Saw-Geeg] language, the region is uniquely situated along Humber River Watershed, which historically provided an integral connection for Anishinaabe [Ah-nish-nah-bay], Haudenosaunee [Hoeden-no-shownee], and Wendat [Wine-Dot] peoples between the Ontario Lakeshore and the Lake Simcoe/Georgian Bay regions. Now home to people of numerous nations, Adoobiigok continues to provide a vital source of interconnection for all.
Equity, Diversity and Inclusion Statement
Humber College and the University of Guelph-Humber (Humber) are leaders in providing a learning, working and living environment that recognizes and values equity, diversity and inclusion in all its programs and services. Humber commits to reflect the diversity of the communities the College serves. Students, faculty, support and administrative staff feel a sense of belonging and have opportunities to be their authentic selves.
| Faculty or Department | Faculty of Media, Creative Arts, and Design |
|---|---|
| Course Name: | Technical Mathematics 1 (TMTH 105) |
| Pre-Requisites | TMTH 010 OR TMTH 101 |
| Co-Requisites | none |
| Pre-Requisites for | TMTH 205 |
| Equates | none |
| Restrictions | none |
| Credit Value | 3 |
| Total Course Hours | 56 |
| Developed By: | Prepared By: | Approved by: | |
|---|---|---|---|
| Mike Wells |
Humber Learning Outcomes (HLOs) in this course.
The HLOs are a cross-institutional learning outcomes strategy aimed at equipping Humber graduates with the employability skills, mindsets, and values they need to succeed in the future of work. To explore all the HLOs, please consult the Humber Learning Outcomes framework.
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Critical Thinking -
Communication -
Digital Fluency -
Strategic Problem-Solving
Course Description
This course will emphasize the application of mathematics to the solution of practical problems. Topics to be covered include numerical computation; Imperial and SI Units; introduction to algebra; simple equations; functions and graphs; perimeters, areas and volumes; right triangles and vectors; oblique triangles; factors and factoring; fractions and fractional equations; ratio, proportion and variation.
Course Rationale
This is the first course in Mathematics designed to provide students with basic mathematical skills that they will need in their career, including numerical computation using basic arithmetic operations; basic operations applied to algebraic expressions; simple equations; functions and graphs; factors and factoring; algebraic fractions and fractional equations; perimeters, areas, and volumes; right triangles and vectors; oblique triangles; ratio, proportion and variation. By working through numerous examples and exercises that are drawn from technical application, students will also develop the confidence and versatility in using mathematical tools while appreciating the relevance of these tools in allied technical fields of study.
Course Learning Method(s)
- Lecture
- Online
Course Learning Outcomes (CLO)
| Learning Outcome | Learning Objectives | Summative Assessments | Formative Assessments |
|---|---|---|---|
| Perform a variety of mathematical operations on expressions with different types of numbers including conversion between different units of measurement (SI and Imperial). |
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| Simplify algebraic expressions, integral exponents, and fractions using applicable mathematical rules. |
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| Solve linear equations in a single variable, including fractional equations (unknown in the numerator) |
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| Identify implicit functions, explicit functions, dependent variables, independent variables, and manipulate functions accurately. |
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| Generate graphs from ordered pairs and functions accurately. |
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| Express monomials, binomials, and trinomials in factored form. |
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| Solve fractional (unknown in the numerator and/or denominator) and literal equations accurately. |
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| Calculate the angles made by intersecting lines, perimeter and area of 2D figures, and surface area and volume of solid figures accurately. |
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| Solve problems involving right triangles, and vectors accurately. |
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| Solve problems involving the radian measure, arc length, and area of a sector accurately. |
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| Solve problems involving trigonometric functions of any angle, and oblique triangles (using the Law of Sines and the Law of Cosines) accurately. |
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| Solve problems involving ratio and proportion; direct, inverse, joint and combined variation accurately. |
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Assessment Weighting
| Assessment | Weight |
|---|---|
| Quiz | |
| Quizzes | 20% |
| Instructor-Created Assessments | 10% |
| Midterm Exam | |
| Midterm Exam | 35% |
| Final Exam | |
| Final Exam | 35% |
| Total | 100% |
Modules of Study
| Module | Course Learning Outcomes | Resources | Assessments |
|---|---|---|---|
| Numerical Computation |
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Textbook: 1.1 – 17, 19, 21, 23, 27, 30, 40, 46, 52, 53, 54 1.2 – 11, 12, 14, 15, 16, 18, 20, 21, 22, 23, 26, 33, 35, 36, 41, 45, 47, 51, 61, 74, 82, 83, 85, 88, 89, 92, 96 1.3 – 3, 10, 21, 30, 31, 37, 39 1.4 – 9, 40, 45, 47, 48, 49, 53 1.5 – 1, 3, 5, 7, 9, 15, 17, 19, 21, 23, 25, 27, 29, 33, 47, 51; 1.6 - 1, 3, 5, 7, 9, 11, 15; 1.7 - 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 23, 25, 27, 29, 31, 37, 39, 41, 43, 45, 46, 47 |
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| Introduction to Algebra |
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2.1 - 1, 3, 5, 7, 9, 21, 23, 27, 29 2-2: 3, 4, 5, 9, 19, 20, 21, 22 2-3: 1 to 29 (odd-numbers), 31, 33, 34, 36, 39, 41, 43, 46, 48, 49 2-4: 1 to 35 (odd-numbers), 38, 40, 43, 44, 49, 51, 59 2-5: 1, 5, 13 to 33 (odd-numbers) |
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| Simple Equations and Word Problems |
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3-1: 1, 5, 7, 15, 23, 25, 27, 29, 33, 35, 37, 39, 41, 45, 47, 49 3-2: 1 to 19 (odd numbers) |
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| Functions |
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4.2 – 1, 3, 9, 13, 21, 23, 24, 28, 38, 42 |
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| Graphs |
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5.1 - 13, 15, 16, 17, 18; 5.2 - 1, 5, 7, 9, 13; 5.3 - 1, 2, 3, 5, 6, 7, 11, 13 |
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| Factors and Factoring |
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8.1 - 1,3, 7, 13, 15; 8.2 - 1,3, 7, 9; 8.3 - 7, 9, 15, 17, 23 8.4 – 6, 7 8.5 – 11, 19 8.6 - 5, 15 |
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| Fractions and Fractional Equations |
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9.1 - 7, 9, 11, 13, 15, 23, 25; 9.2 - 1, 3, 5, 7, 9, 15, 23, 25, 35, 37, 39; 9.3 - 1, 5, 7, 9, 11, 13, 15, 17; 9.5 - 1, 3, 5, 7, 9, 11, 13, 15; 9.6 - 5, 7, 9, 15, 17; 9.7 - 1, 3, 11, 13, 15, 27 |
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| Geometry (Intersecting Lines, Polygons, Circles, Volumes and Areas of solids). |
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6.1 - 1, 3, 5, 6; 6.2 - 2 6.3 - 1, 4, 5, 7, 9, 11, 13, 19, 21; 6.4 - 1, 2, 3, 4, 5, 6, 7, 9, 11; 6.5 - 1, 3, 5, 9, 10, 11, 16, 17; 6.6 - 3, 4, 6, 11, 12, 14, 15, 17, 18, 19 |
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| Right Triangles and Vectors |
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7.1 - 1, 3, 13, 17, 18, 19, 21, 23; 7.2 - 11, 13, 15, 16, 17, 21, 25, 27; 7.3 - 1, 2, 5, 7, 9, 10, 12, 14; 7.4 - 1, 3, 7, 9, 11, 13, 15; 7.5 - 1, 3, 5, 19, 21, 22; 7.6 - 7, 8, 9, 10, 19, 21 |
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| Radian Measure, Arc Length, and Area of a Sector |
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16.1 - 43, 44, 45, 47, 55, 57, 73, 74; 16.2 - 1, 3, 5, 7, 9, 11, 17, 19 |
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| Trigonometric Functions of Any Angle, Oblique Triangles |
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15.1 - 1, 3, 5, 8, 11, 19, 20, 21, (23, 24, 25, 26, sin, cos, tan only) 32, 33, 34, 38, 39, 41; 15.2 - 1, 3, 5, 7; 15.3 - 1, 3, 9, 19; 15.4 - 3, 13, 14, 15 |
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| Ratio, Proportion, and Variation |
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19.1 - 1, 3, 5, 7, 19, 23; 19.2 - 1, 3, 5, 7, 9; 19.3 - 1, 3, 9, 15, 21, 24; 19.4 - 1, 5, 6, 7; 19.5 - 1, 5, 6, 10 |
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Required Resources
| Title | ISBN |
|---|---|
Calter, Calter, Spencer & Wraight. (2016). Technical Mathematics with Calculus (3rd Cdn ed.). Canada: John Wiley & Sons Inc.
Hardcover Book: ISBN 9781118962145 or
Binder Ready Version ISBN 9781118962169 or
E-Text Version ISBN 9781119272724Scientific
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Students enrolled in online sections of the course may be required to come to campus to write the tests and exams. |
Resource(s):
Course material costs can be found through the Humber Bookstore.
Additional Tools and Equipment
- Scientific Calculator: CASIO FX-991ES PLUS or CASIO FX-991ES PLUS - 2
Essential Skills
| Section | Skills | Measurement | Details |
|---|---|---|---|
| Numeracy |
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Teach and measure |
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| Critical Thinking and Problem-Solving |
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Teach and measure |
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| Information Management |
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Teach and measure |
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| Personal Skills |
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Teach and measure |
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| Interpersonal Skills |
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Teach and measure |
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Prior Learning Assessment & Recognition (PLAR)
Prior Learning Assessment and Recognition (PLAR) is the formal evaluation and credit-granting process whereby candidates may obtain credits for prior learning. Prior learning includes the knowledge competencies and skills acquired, in both formal and informal ways, outside of post-secondary education. Candidates may have their prior learning evaluated against the course learning outcomes as defined in the course outline.
To find out if this course is eligible for PLAR, and how this learning would be assessed, please contact the Program Coordinator for more details.
Academic Regulations
It is the student's responsibility to be aware of the College Academic Regulations. The Academic Regulations apply to all applicants to Humber and all current students enrolled in any program or course offered by Humber, in any location. Information about academic appeals is found in the Academic Regulations.
Anti-Discrimination Statement
At Humber College, all forms of discrimination and harassment are prohibited. Students and employees have the right to study, live and work in an environment that is free from discrimination and harassment. If you need assistance on concerns related to discrimination and harassment, please contact the Centre for Human Rights, Equity and Inclusion or the Office of Student Conduct.
Accessible Learning Services
Humber strives to create a welcoming environment for all students where equity, diversity and inclusion are paramount. Accessible Learning Services facilitates equal access for students with disabilities by coordinating academic accommodations and services. Staff in Accessible Learning Services are available by appointment to assess specific needs, provide referrals and arrange appropriate accommodations. If you require academic accommodations, contact:
North Campus: (416) 675-6622 X5090
Lakeshore Campus: (416) 675-6622 X3331
Academic Integrity
Academic integrity is essentially honesty in all academic endeavors. Academic integrity requires that students avoid all forms of academic misconduct or dishonesty, including plagiarism, cheating on tests or exams or any misrepresentation of academic accomplishment.
Disclaimer
While every effort is made by the professor/faculty to cover all material listed in the outline, the order, content, and/or evaluation may change in the event of special circumstances (e.g. time constraints due to inclement weather, sickness, college closure, technology/equipment problems or changes, etc.). In any such case, students will be given appropriate notification in writing, with approval from the Senior Dean (or designate) of the Faculty.
Copyright
Copyright is the exclusive legal right given to a creator to reproduce, publish, sell or distribute his/her work. All members of the Humber community are required to comply with Canadian copyright law which governs the reproduction, use and distribution of copyrighted materials. This means that the copying, use and distribution of copyright- protected materials, regardless of format, is subject to certain limits and restrictions. For example, photocopying or scanning an entire textbook is not allowed, nor is distributing a scanned book.
See the Humber Libraries website for additional information regarding copyright and for details on allowable limits.
Humber College Institute of Technology and Advanced Learning • 2023/2024.