Calculicious Syllabus: Andrew's Class.

Spring Semester 2009

In this course we will be learning some interesting topics from precalculus and calculus in order to make art that encompasses ideas from mathematics. In order that we proceed at a reasonable pace, I have divided the work up into 10 separate units. Each unit will be taught over a single week, and there will be a quiz available at the end of each unit for you to show your mastery of the work we have covered. This way, we should cover the material in the 10 weeks before exhibition night.

Week (dates)
1 (Jan 19 - Jan 25)
Topics in Analytical Geometry
  • Lines, Rays & Segments
  • Triangle Geometry
  • Introduction to Conics
2 (Jan 26 - Feb 1)
Conic Sections: Parabolas
  • algebraic equation
  • definition of locus
  • the general quadratic equation.
3 (Feb 2 - Feb 8)
Conic Sections: Circles and Ellipses
  • constructing a circle
  • algebraic equation
4 (Feb 9 - Feb 15)
  • algebraic equation
  • definition as locus
5 (Feb 16 - Feb 22)
Co-ordinate Systems: Cartesian Coordinates
  • explicit and implicit functions
  • conics as parametric equations
  • distance and elevation angle
6 (Feb 23 - Mar 1)
Co-ordinate Systems: Polar Coordinates
  • circles in polar co-ords
  • ellipses in polar co-ords
  • parabolas in polar co-ords
  • hyperolas in polar co-ords
7 (Mar 2 - Mar 8)
Co-ordinate Systems: Spherical Coordinates
  • r, theta, phi notation
  • converting x, y, z into spehical co-ords
8 (Mar 9 - Mar 15)
Differential Calculus I
  • slope of a function
  • the method of increments
  • the power rule
9 (Mar 16 - Mar 22)
Differential Calculus II
  • taking the first derivative
  • some common derivatives
  • derivatives of basic trig functions
10 (Mar 23 - Mar 29)
Differential Calculus III
  • related rates
  • the meaning of the second derivative
  • the meaning of the third derivative

The last weeks of the semester wil be spent:

  • preparing for exhibition night (April 2nd)
  • teaching our projects to other classes and other schools
  • documenting the process of our work this semester

Grading will be based on successful completion of learning modules, along with the grade you receive for your finished artwork. There will be an online part of the course which will account for 25% of the grade in my class. Mostly this grade will come from participation in the online modules which include posting examples of your work, taking part in online discussions, and completion of online homework assignments. Another 25% will come from the successful completion of each learning module above. You will pass each learning module by achieving a passing score on an exam paper for that unit, and each unit passed will increase your grade. 40% of your grade will come from successful completion of art pieces for the project, and participation in exhibition night. Finally, 10% of your grade will come from keeping detailed sketches of mathematical concepts we encounter - most of these will be graphical, so you should make careful copies of these shapes in your notebooks. To see an example of these notes, please view the notes I have provided for you for the first week's lessons.

(c) Andrew Gloag 2008