MATH 1536 Course Page
Geometry and the Mathematics of Design
MATH 1536 is offered in the Spring 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. Vectors in the plane and space, descriptive and projective geometry, differential and integral calculus, applications for 2- and 3-dimensional design and construction, including areas, volumes, centroids, and optimization. (3H,3C)
Prerequistes: 2 units of high school algebra and 1 unit of high school geometry.
Required Online Textbook: Geometry and Mathematics of Design
|1.1||Vectors in the Plane|
|1.1.1||Geometric and Algebraic Vectors|
|1.1.2||Addition, Subtraction, and Scalar Multiplication|
|1.1.3||Magnitude and Unit Vector|
|1.2||Vectors in Space|
|1.2.1||Vectors and Operations|
|1.2.2||Vectors and Unit Cube|
|1.3.1||Dot Product Definition|
|1.3.2||Angle Between Two Vectors|
|1.4.1||Cross Product Definition|
|1.4.2||Parallel and Coplanar Vectors|
|1.4.3||Areas and Volumes|
|1.4.4||Special Area Rules|
|1.5.2||Equation of a Plane|
|1.5.3||Angle Between Planes|
|1.5.4||Distance Between Parallel Planes|
|1.6||Lines in Space|
|1.6.1||Equations of a Line in Space|
|1.6.2||Intersection of Lines and Planes|
|2.1.2||Projecting Onto 2-D View Planes|
|2.1.3||Constructing 3-D Objects from View Planes|
|2.1.4||Projecting Polygons and Intersecting Lines|
|2.1.5||Projecting Lines Intersecting Polygons|
|2.2||Projective Geometry in 2-D|
|2.3||Projective Geometry in 3-D|
|2.3.1||One Point Perspective|
|2.3.2||Two Point Perspective|
|2.3.3||Three Point Perspective|
|3.1||Functions and Tangent Lines|
|3.2.2||Basic Derivative Rules|
|3.2.4||Constant Multiple and Sum Rules|
|3.3.1||Solving Problems with Derivatives|
|4.1.1||Approximate Areas Visually|
|4.1.2||Polygon and Circle Areas|
|4.2.3||Definite Integral Properties|
|4.2.4||Evaluate Definite Integrals|
|4.3.1||Area Between f(x) and the X-axis|
|4.3.2||Area Between Two Curves|
|4.4.1||Finite Masses Concentrated at a Point|
|4.4.2||Triangles and Rectangles|
|4.4.3||Thin Flat Plates|
|4.5.1||Prisms and Pyramids|
|4.5.3||Cylindrical Shell Method|
During any Spring Semester, see the Timetable of classes for information on current offerings of MATH 1536.
- The in-person version of MATH 1536 consists of two 75 minute lectures.
- All quizzes can be taken at home and are unproctored.
- The midterm exams and the final exam are taken in the testing center at the Math Emporium. The quizzes and exams are multiple choice.
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For additional information about the Honor Code, please visit https://www.honorsystem.vt.edu/