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Geometry and the Mathematics of Design

MATH 1535 is offered in the Fall semester only.

A standard first-year mathematics sequence for architecture majors. Mathematical models of real-world problems, including discrete and continuous models, that address relevant global challenges in such areas as urban planning, building construction, and home design. Euclidean geometry, trigonometry, sequences and the golden ratio, graph theory, tilings, polygons and polyhedra, applications for 2- and 3-dimensional design and construction, use of geometric software.  (3H,3C)

Prerequistes: 2 units of high school algebra and 1 unit of high school geometry.

A review of Euclidian geometry and trigonometry, leading to discussions of polygons, tiling, and polyhedra. Students will create their own tiling patterns as a project.

Techniques in projective geometry, Golden Ratio, and finding measures of centrality with a compass and straight-edge. Students will submit a projection drawing as a project.

Lines and planes in 3D space, compound functions and parametric equations of curves lead us to creating parametric designs in 3D modeling software. Students will submit a rendering of a 3D parametric design as a project.

Check your instructor's Canvas course site for the date and time of your final exam.

During any Fall Semester, see the Timetable of classes for information on current offerings of MATH 1535.

Note: Quizzes, projects, and written work are taken at home unsupervised, and midterm exams will take place in class during normal lecture time.

The Undergraduate Honor Code pledge that each member of the university community agrees to abide by states:

“As a Hokie, I will conduct myself with honor and integrity at all times. I will not lie, cheat, or steal, nor will I accept the actions of those who do.”

Students enrolled in this course are responsible for abiding by the Honor Code. A student who has doubts about how the Honor Code applies to any assignment is responsible for obtaining specific guidance from the course instructor before submitting the assignment for evaluation. Ignorance of the rules does not excuse any member of the University community from the requirements and expectations of the Honor Code.

For additional information about the Honor Code, please visit https://www.honorsystem.vt.edu/

If you need extra help with course materials:

 

If you are currently enrolled in MATH 1535, you can contact your instructor through your Canvas course website.