MA 391: Mathematics: Composition and Communication

Kate Ponto
Fall 2021

Syllabus

Announcements



If you are interested in undergrad math research or mathematical visualizations projects please contact the UK Math Lab.

The class blog can be found here.

Homework



Date Class topic What is due
Dec 8 Knots second show and tell Knots blog post and display card
Dec 6 Do over show and tell Do over print and display card
Dec 3 Knot polynomials Do over stl and blog post
Dec 1 Ambiguous objects show and tell Ambiguous objects print and display card
Nov 29 Links and knot polynomials
Nov 26 Thanksgiving!
Nov 24 Thanksgiving!
Nov 22 Knot colorability
Nov 19 Knots Ambiguous objects stl and blog
Nov 17 Knots
Nov 15 Knots show and tell and Ambiguous objects Knots print
Nov 12 Minimal surfaces show and tell and Ambiguous objects Minimal surface print and display card
Nov 10 Ambiguous objects
Nov 8 Knots (round 1) Minimal surface stl and blog post
Nov 5 Projection show and tell Projection print and display card
Nov 3 Minimal surface experiments
Nov 1 Minimal surfaces Projection stl and blog
Oct 29 Ruled surface show and tell Ruled surface print and display card
Oct 27 Stereographic projection and surfaces
Oct 25 Fall Break!
Oct 22 Continuity and Stereographic projection Ruled surface stl and blog
Oct 20 Continuity
Oct 18 Quadric surface show and tell Quadric surface print and display card
Oct 15 Ruled surfaces
Oct 13 Rotations in 3 dimensional space, ruled surfaces Quadric surface stl and blog
Oct 11 Level curves show and tell Level curves print and display card
Oct 8 Quadric surfaces
Oct 6 Quadric surfaces Level curves stl and blog
Oct 4 Parametric surfaces
Oct 1 Integration over regions in the plane show and tell Integration over regions in the plane print and display card
Sept 29 Openscad
Sept 27 Level curves Integration over regions in the plane stl and blog
Sept 24 Center of mass show and tell Center of mass print and display card
Sept 22 Integration of functions of two variables
Sept 20 Integration of functions of two variables Center of mass stl and blog
Sept 17 Cross section show and tell Cross section print and display card
Sept 15 Center of mass
Sept 13 Center of mass
Sept 10 Center of mass Cross section stl and blog
Sept 8 Washer/Shells show and tell Washer/Shells print and display card
Sept 6 Labor day!
Sept 3 Surfaces with known cross section
Sept 1 Surfaces with known cross section Washer/Shells stl and blog
Aug 30 Washers and Shells continued Printed coins due
Aug 27 Washers and Shells continued
Aug 25 Washers and Shells and trip to the innovation center
Aug 23 On shape and coin printing


Details of prints

Do over

Pick one of the projects we've done so far this semester, redesign and reprint it. (Don't pick the knots project since you didn't have to create the stl andc code.) Your print must For the blog post you need to explain This blog post must be at least 300 words. For the display card you need to include

Ambiguous objects

Pick two different curves and print an ambiguous object so that two viewers will see the two different curves. Your print must For the blog post you need to explain For the display card you need to include

Knots

Print a knot. Your print must For the blog post you need to For your display card include

Minimal Surfaces

Make a frame to support a bubble (a minimal surface!). Your print must For the blog post you need to explain For the display card you need to include

Stereographic projection

Pick a design for the plane and use stereographic projection to transfer it to a hemisphere. Your print must For the blog post you need to explain For the display card you need to include

Ruled surfaces

Pick a ruled surface in 3 dimensional space. Your print must For the blog post you need to explain For the display card you need to include

Quadric surfaces

Pick a quadric surface in 3 dimensional space. Your print must For the blog post you need to explain For the display card you need to include

Level curves

Pick a parametrization of a surface in 3 dimensional space. Your print must For the blog post you need to explain

Integration for over regions in the plane

Pick single valued function of two variables. Your print must For the blog post you need to explain Painfully learned insight: slopes get out of control really fast for exponentials and even powers greater than 1.

Center of mass

Pick a solid with known center of mass. Your print must For the blog post you need to explain Painfully learned insight: objects that are thinner are easier to balance.

Solids with known cross section

Pick a solid with known cross section to print an approximation of. Your print must For the blog post you need to explain

Shells and Washers

Pick a function of a single variable to print a washer or shell decomposition. Your print must For the blog post you need to explain