MATH 116 Course Syllabus - spring 2013

NJIT Academic Integrity CODE:  All Students should be aware that the Department of Mathematical Sciences takes the University Code on Academic Integrity at NJIT very seriously and enforces it strictly.  This means that there must not be any forms of plagiarism, i.e., copying of homework, class projects, or lab assignments, or any form of cheating in quizzes and exams.  Under the University Code on Academic Integrity, students are obligated to report any such activities to the Instructor.

 

Math 116-002:  Mathematics of Design

 

Instructor:   Prof. Kappraff  

Textbook:  Connections: The Geometric Bridge between Art and Science by Jay Kappraff, Set of Modules for M116 by Jay Kappraff. 

Prerequisites:  Placement exam or Math 101 or Math 107 with a grade of C or better.

Notes on M116 obtained at the website:  http://web.njit.edu~kappraff

Supplies:  Ruler, compass, protractor, scissors, graph paper, construction paper, rubber cement or glue stick, soap eraser.

Modules:  All modules will be uploaded to the Moodle system.

Grading:   There will be no examinations.   Each week there will be information given to you as to how to use mathematics to construct designs.   Some of this work will be done in class working in groups. Some of your responses can be of homework quality, but at least six designs should be done with project quality using your drawing programs:  Corel draw or Adobe Illustrator or photoshop.   At leaset one project should be three-dimensional.   Both project  and homework quality work should be uploaded to Kepler under assignment 1.   

Scrapbooks:  Every student is expected to hand in a scrapbook of images from M116.   By this I mean images from outsided sources that remind you of things covered in M116.  This should be handed in about two weeks before the end of the semester.

Drop Date:  Please note that the University Drop Date March 26, 2013 deadline will be strictly enforced.

Attendance: Attendance is required for this non-standard course.  If you cannot make it to class you must e-mail me (kappraff@adm.njit.edu)  reason and you may get an excused absence.  Three unexcused absences will be permitted for the semester after which further absences will affect your grade.

Further Assistance:  For further questions, students should contact their Instructor. All Instructors have regular office hours during the week. These office hours are listed at the link above by clicking on the Instructor’s name. Teaching Assistants are also available in the math learning center.

Cellular Phones:  All cellular phones and beepers must be switched off during all class times.


 

MATH DEPARTMENT CLASS POLICIES LINK 

All DMS students must familiarize themselves with and adhere to the Department of Mathematical Sciences Course Policies, in addition to official university-wide policies. DMS takes these policies very seriously and enforces them strictly. For DMS Course Policies, please click here.

January 21, 2013

M

Dr. Martin Luther King, Jr. Day ~ University Closed

March 17-24, 2013

Su-Su

Spring Recess ~ No Classes Scheduled ~ University Open

March 26, 2013

T

Last Day to Withdraw from this course

March 29, 2013

F

Good Friday ~ University Closed

May 7, 2013

T

Classes follow a Friday Schedule, Last Day of Classes

May 8, 2013

W

Reading Day

May 9-15, 2013

T-W

Final Exams


 

Course Outline:

Week

Topic

Week 1

 

 

Triangle - circle and square – circle diagrams  (D)

Stars (D) and Star exploration

Brunes star  (D)

Truchet, Kufic, and optiles  (D)

Week 2

Tiling a rectangle with non-congruent squares  (D)

Use of graphs to find new patterns

Graph coloring

 

Week 3

Golden mean – Wythoff’s game

Fibonacci series,  golden mean construction

Golden spirals  (D)

Pentagons

golden triangles  (D)

construction of the phi-series

 

Week 4

Non-periodic tilings (D)

Silver mean

Sacred cut

Octagon

Tiling with sacred cut geometry (D)

 

Week 5

Graphs and knots

Sprouts and brussel sprouts

Duals and adjacency matrices

Planar maps

Euler’s law

Map coloring

 

Week 6

Graphs and floorplans  (D)

 

Week 7

Mobius strip  (D)

Szillassi and Csaszar polyhedral  (D)

Knots and surfaces

 

Week 8

Mirror curves and Lunda diagrams

 

Week 9-12

Platonic solids

Archimedean solids

Prisms and antiprisms  (D)

Space filling (D)

Tensegrities  (D)

3D- symmetry

Octet truss  (D)

Infinite regular polyhedral  (D)

 

Week 13-14

Easy Symmetry constructions (D)

 

 

Prepared By:  Prof. Jay Kappraff

Last revised:  January 22, 2013

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