2019 Descriptive Geometry・Graphic Science3

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Academic unit or major
Basic science and technology courses
Iwatsuki Nobuyuki  Sugahara Yusuke  Hayakawa Tomohisa 
Class Format
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Media-enhanced courses
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Course description and aims

This course provides mathematical methods to express spatial form. Each lesson is composed of a lecture part and the exercise with a computer.

The students will comprehend mathematical methods to express two-dimensional and three-dimensional forms by the exercise.

Student learning outcomes

The course will enhance the students perceptibility of mathematical methods to present spatial form by this course.


Spatial form, curved surface, polyhedron, interpolation, coordinate transformation

Competencies that will be developed

Specialist skills Intercultural skills Communication skills Critical thinking skills Practical and/or problem-solving skills

Class flow

Each lesson is composed of a lesson and the exercise with a computer.

Course schedule/Required learning

  Course schedule Required learning
Class 1 Guidance on this course and a mathematical method to present a spatial form (part1) Representation of orthogonal projection and axonometric projection
Class 2 A mathematical method to present a spatial form (part2) Representation of perspective projection
Class 3 Vector equation (part1) Representation of line and plane
Class 4 Vector equation (part2) Representation of curved surface
Class 5 Intersecting line and plane of spatial form (part1) Parameterization method
Class 6 Intersecting line and plane of spatial form (part2) Method of simultaneous equations
Class 7 Coordinate transformation (part1) Transformation between various coordinate systems
Class 8 Coordinate transformation (part2) Coordinate transform due to rotation and posture of objects


Mathematical Principle of Graphics and Computer Aided Graphic Processing : This textbook will be distributed via OCW-i. Students should download it before class.

Reference books, course materials, etc.

Course materials are provided during class if needed.

Assessment criteria and methods

Students' course scores are based on small tests(40%) and the homework(60%).

Related courses

  • LAS.D101 : Descriptive Geometry・Graphic Science1
  • LAS.D102 : Descriptive Geometry・Graphic Science2

Prerequisites (i.e., required knowledge, skills, courses, etc.)

No prerequisites, but it is desirable to master Descriptive Geometry・Graphic Science 1 and 2.

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