Summer 2019 Courses

Dr. Susan Cooper
Department of Mathematics
University of Manitoba

Office Hours: Tuesdays and Thursdays 1:00 p.m. - 2:00 p.m.; or by appointment made via email
Office: Machray Hall, Room 464
Email: susan.cooper@umanitoba.ca
Phone: (204) 474-9701

MATH 1020/FA 1020 — Mathematics In Art

Course Materials:

• Mathematics Course Information & Syllabus
  
• University And Department Of Mathematics Support Offices And Policies — Schedule "A"
  
• Mathematics Help Centre Summer Schedule
  
• Below are my "Skeleton Notes" and demonstrations for the Mathematics Portion of this course. These consist of partially completed notes that you can "fill-in" during class time. The goal is for this to help you interact and engage more in the lessons rather than spending too much time just copying. You do not have to use these, but if you do then you are responsible for bringing these to class. Some notes will be used on multiple days should we not finish the entire section in a single class period.

  Course Overview and Notes on Triangles Skeleton Notes
  

  Euclidean Constructions Skeleton Notes
  

  Euclidean Constructions: Step-By-Step Instructions with Demonstrations
  

  Golden Ratio Skeleton Notes
  

  The Golden Cut Construction: Step-By-Step Instructions With Demonstration (Compliments of Dr. Michelle Davidson, University of Manitoba)
  

  The Golden Rectangle Construction: Step-By-Step Instructions With Demonstration (Compliments of Dr. Michelle Davidson, University of Manitoba)
  

  Fibonacci Numbers Skeleton Notes
  

  Symmetries Skeleton Notes
  

  Similarities and Fractals Skeleton Notes
  

  Perspective Geometry Skeleton Notes
  

  Conic Constructions Skeleton Notes
  

  Platonic Solids Skeleton Notes
  

  Hyperbolic Geometry Skeleton Notes
  

  Hyperbolic Lines Through A Non-Center Point: Step-By-Step Instructions With Demonstration (Compliments of Dr. Michelle Davidson, University of Manitoba)
  

  Topology Skeleton Notes
  

• Below are the workbooks for the voluntary workshops for the Mathematics Portion of this course. Note that these include sample past examination questions.

  May 13th and 15th: Euclidean Constructions
  

  May 22nd: Golden Ratio and Fibonacci Numbers
  

  May 27th: Symmetries
  

  June 3rd and 5th: Similarities and Fractals
  

  June 10th and 12th: Perspective Geometry and Conic Constructions
  

  June 17th and 19th: Platonic Solids, Hyperbolic Geometry, and Topology
  

Some Additional Links of Interest:

• UM Learn
  
• Department of Mathematics, University of Manitoba
  
• Undergraduate Research Awards at the University of Manitoba
  
• NSERC — Students and Fellows
  
• The MacTutor History of Mathematics Archive
  
• The American Mathematical Society (AMS)
  
• The Mathematical Association of America (MAA)
  
• The Canadian Mathematical Society (CMS)
  
• The Association for Women in Mathematics (AWM)