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Course Outline
Course Name: Technical Mathematics 2: Civil Engineering (TMTH 202)
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 Liberal Arts & Sciences |
|---|---|
| Program(s) |
Civil Engineering Technology (03351)
|
| Course Name: | Technical Mathematics 2: Civil Engineering (TMTH 202) |
| Pre-Requisites | TMTH 105 OR TMTH 102 |
| Co-Requisites | none |
| Pre-Requisites for | none |
| Equates | none |
| Restrictions | none |
| Credit Value | 3 |
| Total Course Hours | 42 |
| 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 -
Strategic Problem-Solving
Course Description
This is a second course in Technical Mathematics designed to provide students with mathematical skills that they will need in their career, including: graphing of trigonometric equations, system of two and three equations in 2 and 3 unknowns, equations of quadratic type, systems of quadratic equations, exponential and logarithmic functions, and plane analytic geometry.
Course Rationale
This is a second course in mathematics designed to provide students with the mathematical skills that they will need in their career, including: • Identifying the premises and assumptions underlying technical problems. • Selecting relevant and useful information within the given data to achieve a solution to the problem. • Organizing and analyzing data using tables, diagrams, and graphs. • Formulating graphical and symbolic models to test hypotheses in applications. • Applying critical and mathematical thinking to solve problems in their fields of expertise. By working through numerous examples and exercises that are drawn from real-world 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.
Program Outcomes Emphasized in this Course
Civil Engineering Technology (03351)
- Collect, process, analyze and coordinate technical data to produce written and graphical project-related documents.
- Participate in the design and modeling phase of civil engineering projects* by applying engineering concepts, technical mathematics* and principles of science to the review, production and/or modification of project plans.
Course Learning Method(s)
- Group or Team Work
- Lecture
- Inquiry Based Learning
Course Learning Outcomes (CLO)
| Learning Outcome | Learning Objectives | Summative Assessments | Formative Assessments |
|---|---|---|---|
| Solve Problems that involve manipulation of trigonometric functions. |
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| Solve problems involving systems of linear and quadratic equations using substitution, elimination, and/or determinants in two and three equations in two and three unknowns. |
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| Solve problems involving quadratic, exponential, logarithmic, and trigonometric equations involving some application problems. |
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| Solve problems involving plane analytic geometry including circles, parabola, ellipses, and hyperbola. |
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| Create and analyze graphs of exponential, logarithmic, and trigonometric functions. |
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| Perform operations on matrices. |
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Assessment Weighting
| Assessment | Weight |
|---|---|
| Instructor-Created Assessments | |
| Assignment | 10% |
| Final Exam | |
| Final Exam | 35% |
| Midterm Exam | |
| Midterm Exam | 35% |
| Quiz | |
| Quizzes | 20% |
| Total | 100% |
Modules of Study
| Module | Course Learning Outcomes | Resources | Assessments | |
|---|---|---|---|---|
| Graph of Trigonometric Functions: • The Sine wave • The General Sine Wave, y= a sin (bx+c) • The General Cosine Wave, y= a cos (bx+c) |
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| Systems of Linear Equations of Two and Three Unknowns: • Systems of Two Linear Equations • Other Systems of Equations • Word Problems • Systems of Three Linear Equations |
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10.1 - 7, 15, 27, 28, 30 10.2 - 3, 5, 8, 12, 15, 17 10.3 – 1, 6, 8, 19, 20, 24, 25, 26, 30, 31 10. 4 - 3, 7, 11, 13, 16, 17 |
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| Determinants: • Second-Order Determinants • Third-Order Determinants |
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11.1 - 3, 5, 10, 12, 19, 29, 31, 36, 40, 41, 43, 44 11.2 - 3, 6, 7, 9, 13, 15, 18, 19, 21, 23, 25 |
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| Matrices: • Matrices Definition • Operation with Matrices • The Inverse of a Matrix ( 2x2) • Solving a System of Linear Equations by Matrix Inversion ( 2x2) |
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12.1 - 2, 7, 8, 9, 11, 13, 18 12.2 - 3, 5, 6, 9, 11, 13, 17, 23, 27, 29, 33, 37, 39, 41, 46 12.3 - 1, 2, 3 12.4- 1 (2X2) 12.R- 13 |
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| Quadratic Equations and Systems of Quadratic Equations: • Solving Quadratic by Factoring • Solving Quadratic by Formula • Equations of Quadratic Type • System of Quadratic Equations |
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14.1 - 1, 9, 11, 23, 25, 28, 37, 39 14.3 - 3, 5, 9, 10 14.6 - 1, 2, 4, 5,, 8, 13 14.8 - 1, 3, 7, 10, 11, 12 |
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| Trigonometric Identities and Equations: • Fundamental Identities • Trigonometric Equations |
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18.1 - 19, 20, 28, 31, 32, 35, 39, 44, 45 18.5 - 1, 5, 15, 16, 23 |
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| Exponential and Logarithmic Functions: • The Exponential Function • Exponential Growth and Decay • Logarithms • Properties of Logarithms • Exponential Equations • Logarithmic Equations |
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20.1 - 3, 4 20.2 - 1, 2, 3, 5, 7, 9, 10, 11, 14, 15 20.3 - 5, 11, 13, 15, 23, 26, 27, 30, 31, 37, 53, 55, 59 20.4 - 3, 7, 9, 11, 17, 19, 21, 25 20.5 - 3, 7, 8, 9, 13, 23, 29, 30, 36, 37 20.6 - 1, 7, 9, 11, 25, 29, 33, 43 |
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| Plane Analytic Geometry: • The Circle • The Parabola (Centre at Origin) • The Ellipse (Centre at Origin) • The Hyperbola (Centre at Origin) |
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Required Resources
| Title | ISBN |
|---|---|
Calter, Calter, Wraight & White. (2016). Technical Mathematics with Calculus. (3rd Cnd ed.). John Wiley & Sons Inc., Canada Ltd. Hardcover Book ISBN: 9781118962145 or E-Text Version ISBN: 9781119272724 (other options available). |
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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-FX991 ESPLUS2 (Suggested)
Essential Skills
| Section | Skills | Measurement | Details |
|---|---|---|---|
| Communication |
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Reinforce and measure |
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| Numeracy |
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Teach and measure |
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| Critical Thinking and Problem-Solving |
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Reinforce 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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Reinforce 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 knowledge, skills and competencies evaluated against the learning outcomes as defined in the course outline. Please review the Assessment Methods Glossary for more information on the Learning Portfolio assessment methods identified below.
The method(s) that are used to assess prior learning for this course may include:
- Challenge Exam (results recorded as a % grade and added to student’s CGPA)
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.