# Course Outlines

## Technical Mathematics for Architectural and Building Technology

School School of Computing and Academic Studies ABT, Architectural and Building Technology 5 50% September 07, 2021 November 30, 2021 72 12 6 Other Math 12 Pre-Calculus or equivalent OR BCIT Math 0001. 46977

### Acknowledgement of Territories

The British Columbia Institute of Technology acknowledges that our campuses are located on the unceded traditional territories of the Coast Salish Nations of Sḵwx̱wú7mesh (Squamish), səl̓ilwətaɁɬ (Tsleil-Waututh), and xwməθkwəy̓əm (Musqueam).

### Instructor Details

Name Simin Sadat Chavoshi Jolfaee Instructor to provide SW2-223 Instructor to provide

### Course Description

Basic Algebra Review: solving linear, quadratic and simultaneous linear equations, percentage problems; Trigonometry: definitions of trigonometric functions in a right triangle and the unit circle - relevant applications; Plane Geometry: definitions and relevant applications using regular and irregular polygons; 3-D Geometry: definitions and applications using solids with an emphasis on solids intersecting each other.

### Course Learning Outcomes/Competencies

Upon successful completion of this course, the student will be able to:

• Solve different types of equations (equations with fractions that lead to linear equations, quadratic equations, or equations with roots); systems of linear equations.
• Solve problems involving percentages in applications of building technology.
• Use the trigonometric functions in solving building technology applications.
• Determine the length of arcs (portions of circles) and areas representing sectors of circles.
• Solve problems involving ratios, proportion, and variation.
• Solve technology - related problems involving plane geometry and three-dimensional geometry (and combinations of geometry and trigonometry).

### Learning Resources

Required:

• Lecture notes to accompany MATH 1401, by Elizabeth Gray. Available (to print) on the Learning Hub once the course starts.
• Mobius Access code for MATH 1401-Available at BCIT bookstore for purchase.
• SHARP Advanced D.A.L. EL-520 or 546 calculator. Please note that the solver functions built into this model are needed throughout the course and the instructions on how to use those functions will be provided. If you cannot find the SHARP Advanced 520, a less ideal substitute would be SHARP Advanced 531. This latter model does not have a built-in solver, but has all other functions needed for the course.

### Evaluation Criteria

 Criteria % Comments Online Assignments 10% Instructions provided in first class meeting Quizzes 25% No make up if missed Two term tests 2@ 15% No make up if missed. Final exam 35% Cumulative

### Attendance Requirements

If you cannot make it to a lecture, please notify me of your absence ahead of time or as soon as possible.

If you miss a quiz or a term test, there will be no make-up tests. In presence of valid documents such as doctor's note, the missed quiz or test's weight will be moved to the final exam, otherwise you will receive a zero for that assessment item.

### Course Specific Requirements

• Please note that the course meets online and having access to reliable internet, a working webcam, and a scanner or a camera to scan or take pictures of your written work are required. Having a printer would be great, but not required.
• All students must provide their own current PC desktop or laptop with a microphone and webcam and have high speed internet access. BCIT does not provide support for student devices.
• The course will be delivered in real time and may use two-way audio and/or video as well as group work.
• All students must be computer literate and be able to log in during regular scheduled hours in order to participate and complete this course.
• All quizzes are online and will be invigilated via Zoom and/or through proctoring services recommended by BCIT. The students are expected to share video as required by the instructor during tests.
• The two midterms and the final exam will be on campus. Please take note of the dates and location for each test.

### Other information

Course Credit: In order to obtain course credit for MATH 1401 you need to have taken a post-secondary level geometry course. Calculus is not accepted towards course credit for MATH 1401.

Note: Course credit application is for students who have taken a post-secondary course similar to MATH 1401 and want to use that credit instead of taking MATH 1401. If you are currently taking MATH 1401, this does not apply to you.

### Course Schedule and Assignments

 Date Material Covered Tests and Quizzes (Tentative) Assignment Due Date Week 1 Introduction to the courseIntroduction to MapleTaAlgebra ReviewCalculator Functions Assignment 0 Sep 11 Week 2 PercentagesUnit ConversionsPractice problems on unit 1 Quiz 1Date: Sep 16Coverage: Unit 1 Assignment 1 Sep 18 Week 3 Angles and units of measureSupplementary and Complementary angleParallel-Transversal theorem (Z-angles)Angles of elevation and depressionParallel lines cut by transversal linesTrianglesProperties of trianglesCongruent trianglesSimilar triangles Assignment 2 Sep 25 Week 4 Basic trigonometryPythagorean TheoremSlopesRoof GeometryExtended TrigonometrySin-lawCos-law Quiz 2:Date: Sep 30Coverage: Unit 2 Assignment 3 Oct 2 Week 5 Practice problems on Unit 2PolygonsRegular polygons Midterm 1:Date: Oct 7Location: Burnaby campus, SW01-2045Coverage: Unit 1, 2 Assignment 4 Oct 9 Week 6 Centers of a polygonQuadrilateralsProperties of circles Assignment 5 Oct 16 Week 7 Practice Problems on Unit 3Perimeter and Area of common figuresPerimeter and area of circular elementsPerimeter and area of complex shapes Assignment 6 Oct 23 Week 8 Irregular rectangular perimetersAverage HeightsRoof areaPractice problems on Unit 4 Quiz 3Date: Oct 28Coverage: Unit 3 Assignment 7 Oct 30 Week 9 PolyhedronsRegular PolyhedronsPrismsPrism rings Midterm 2Date: Nov 4Location: Burnaby campus, SW01-2045Coverage: Unit 3, 4 Week 10 PyramidsPyramidal frustums Quiz 4Date: Nov 16Coverage: Prisms and rings Assignment 8 Nov 13 Week 11 CylindersConesConic frustums Quiz 5Date: Nov 23Coverage: Pyramids and Pyramidal frustums Assignment 9 Nov 27 Week 12 Spherical frustumsGeometry of the planet Earth Final ExamDate: Nov 30Location: Burnaby campus, SW01-2016Coverage: All units Assignment 10 Nov 30

### BCIT Policy

Any student who needs special assistance in the event of a medical emergency or building evacuation (either because of a disability or for any other reason) should promptly inform their course instructor(s) and Accessibility Services of their personal circumstances.

Human Rights, Harassment and Discrimination:
The BCIT community is made up of individuals from every ability, background, experience and identity, each contributing uniquely to the richness and diversity of the BCIT community as a whole. In recognition of this, and the intrinsic value of our diversity, BCIT seeks to foster a climate of collaboration, understanding and mutual respect between all members of the community and ensure an inclusive accessible working and learning environment where everyone can succeed.

Respect, Diversity, and Inclusion is a supportive resource for both students and employees of BCIT, to foster a respectful learning and working environment. Any student who feels that they are experiencing discrimination or harassment (personal or human rights-related) can confidentially access this resource for advice and support. Please see Policy 7507 – Harassment and Discrimination and accompanying procedure.

### Guidelines for School of Computing and Academic Studies

Attempts:
Students must successfully complete a course within a maximum of three (3) attempts at the course. Students with two attempts in a single course will be allowed to repeat the course only upon special written permission from the Associate Dean. Students who have not successfully completed a course within three attempts will not be eligible to graduate from their respective program.

### Approved

I verify that the content of this course outline is current.