- Proof of a case of l'Hospital's Rule
- A solid with square cross-sections
- That solid with volume-approximating slabs
- That solid with one slab isolated
- A region in the
*xy*-plane rotated around the*y*-axis - Another region rotated, showing a cylindrical shell
- Practice Exam I (with solutions)
- Exam I (with solutions)
- Some of the trigonometric integrals
- Tricks for trigonometric substitution
- An ugly partial fractions problem
- The same problem, done by Maple
- The method of partial fractions, in full (and rather abstract) detail
- Practice Exam II (with solutions)
- Exam II (with solutions)
- Using a spreadsheet for approximate integration:
- When and where do the improper integrals
of 1/
*x*converge?^{p} - Proof of the area formula for the slanted part of the frustum of a cone
- Introduction to differential equations, including separable DEs and orthogonal trajectories
- Direction field of a differential equation
- An example of a direction field and a solution of a differential equation with Maple
- An example of Euler's Method for approximate solution of a differential equation
- An example of Euler's method in Excel. Also, a graph of the results and the original spreadsheet.
- Examples for (separable) differential equations
- Practice Exam III (with solutions)
- Exam III (with solutions)
- Graphs of partial sums of a power series
- The proof of the Integral Test and the proof of its corollary.
- Quick proofs of the other convergence tests for series of positive terms
- A parametric curve being traced as the
parameter
*t*varies across an interval in PowerPoint format - A parametric curve with nearly flat sections
- List of formulas for the course
- Final Exam (with solutions)