Class notes for Math 2565

I won't always use slides for Math 2565, but when I do, I'll post them here.

I've saved each notebook as HTML, and collected them here. As additional notebooks are introduced, I'll add links to them on this page.

• January 14: trig integrals
• January 16: trig substitution
• January 21: trig substitution and partial fractions
• January 23: improper integrals
• January 28: area
• January 30: volume

• February 11: introduction to ODEs.

  The above links to a static HTML version of the notebook used in class. If you want to interact with it (edit the code, for example), you can do so using our Syzygy Jupyter Hub.

• February 13: separable and linear DEs.
• February 25: modelling with differential equations.
• February 27: sequences.
• March 3: series.
• March 5: convergence tests.
• March 10: alternating series; introduction to power series.
• March 12: Taylor series.

This is the point at which everything gets shut down thanks to a global pandemic. But we've been told to keep calm and carry on. Lectures will continue via YouTube live. I'll post links on Moodle. You can join live, or watch later. I'm now adding PDF versions for the slides, since these are easier to annotate.

• March 19: series wrap-up and review. (PDF version) (annotated PDF)
• March 24: parametric curves. (PDF version) (annotated PDF)
• March 26: polar curves. (PDF only) (annotated PDF)
• March 31: surfaces in 3D. (PDF only) (annotated PDF)
• April 2: functions of several variables. (PDF only)