Math 1060, Fall 2020
Math 1060, Fall 2020
"Mathematics, rightly viewed, possesses not only truth, but supreme
beauty." --Bertrand Russell
"Those arts which are founded on numbers, geometry and the other mathematical disciplines, have greatness and in this lies the dignity of architecture." --Plato
Resources
- Course Syllabus
- Course Schedule
- Project ideas
- Canvas. Used very sparingly.
- WeBWorK, our free online homework system.
- Mathematical Excursions to the World's Great Bulidings. E-book freely available at the Clemson Libaray.
- Active Calculus 2.0. Free Open Textbook, paired with WeBWorK.
Active Calculus Supplemental Material, written by Martin J. Mohlenkamp (Ohio University).
- Calculus: A Liberal Art, by W.M. Priestley. Springer, 2nd edition, 1998.
- Ideas of Calculus, by J.F. Fleron, P.K. Hotchkiss, C. von Resesse with V. Ecke. Free textbook from the Discovering the Art of Mathematics project on Mathematical Inquiry in the Liberal Arts, 2015.
- APEX Calculus. Free Open Textbook. Part of the APEX (Affordable Print and Electronic TeXtbook) series.
- Open Textbook Library, hosted at the University of Minnesota.
- GeoGebra Calculus Applets
- A short article on
The Hilbert Hotel,
by Steven Strogatz (Cornell), written for a general
(non-mathematical) audience that appeared in the New York Times.
Lecture Notes
- Part 0: Calculus, a historial perspective. Posted
to Canvas.
- Part 0.1: Mesopotamia to Ancient Egypt. 15 pages,
updated 8/26/20.
- Part 0.2: Ancient Greece to 17th Century Japan. 33 pages,
updated 8/26/20.
- Part 1: What is infinity?. 6 pages, handwritten, updated 8/31/20.
- Part 2: Functions and limits. 12 pages, handwritten, updated 9/3/20.
- Part 3: Understanding derivatives. 11 pages, handwritten, updated 9/14/20.
- Part 4: Computing derivatives. 14 pages, handwritten, updated 10/2/20.
- Part 5: Applications of derivatives. 8 pages, handwritten, updated 10/9/20.
- Part 6: Understanding integrals. 9 pages, handwritten, updated 10/21/20.
- Part 7: Computing integrals. 6 pages, handwritten, updated 10/30/20.
- Part 8: Applying integrals. 11 pages, handwritten, updated 11/13/20.
- Part 9: Volumes of domes (Hagia Sophia and Roman Pantheon). 7 pages, handwritten, updated 11/20/20. Also see additional slides on Canvas.
- Part 10: Calculus of arches. 10 pages, handwritten, updated 12/4/20. Also see additional slides on Canvas.