Index of Supplements in Math 112

• 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:
  • screen capture or
  • entire Excel spreadsheet
• When and where do the improper integrals of 1/x^p converge?
• 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)

[To the course syllabus]