Fairfield University Math 1172
Professor Staecker · Fairfield University · 13 lectures with notes
Students in this class: ask your lecturer for the class code, and these lectures will already be in your library when you sign up.
Calculus II ep12: L'Hospital's rule (Oct 5, 2026)
Prof Staecker connects inverse-trigonometric antiderivatives with L'Hôpital's rule for evaluating 0/0 limits.
Calculus II ep11: Inverse trig functions (Oct 1, 2026)
Restricting sine and cosine defines inverse functions, whose derivatives follow from implicit differentiation and the chain rule.
Calculus II ep10: Other logarithms (Sep 30, 2026)
Change-of-base formulas make unfamiliar logarithms calculable, and logarithms solve the repeated-reduction model for ferritin levels.
Calculus II ep09: Other exponential functions (Sep 28, 2026)
The identity b^x = e^(x ln b) extends exponentials to real exponents and yields their derivative and algebraic rules.
Calculus II ep08: The exponential function (Sep 24, 2026)
The natural exponential e^x is the inverse of ln x, enabling equations to switch between logarithmic and exponential forms.
Calculus II ep07: The natural logarithm (Sep 23, 2026)
The natural logarithm converts products, quotients, and powers into simpler operations—and can streamline differentiation.
Calculus II ep06: Volume with cylindrical shells (Sep 21, 2026)
Cylindrical-shell volumes depend on correctly identifying each shell’s radius and height; ln x is defined by integrating 1/t.
Calculus II ep05: Volume with washers (Sep 17, 2026)
Choose washers by measuring inner and outer radii from the rotation axis; use shells when their integral is simpler.
Calculus II ep04: Volume of revolution (Sep 16, 2026)
Use disk and washer integrals to calculate familiar solids and regions revolved around an axis.
Calculus II ep03: Area between curves (Sep 14, 2026)
Use top-minus-bottom or right-minus-left slices to set up area integrals, then extend slicing to volumes of revolution.
Calculus II ep02: u-substitution (Sep 10, 2026)
U-substitution turns suitable integrals into simpler ones by matching an inner function with its derivative.
Calculus II ep01: Intro, derivatives & antiderivatives review (Sep 9, 2026)
Chris Staecker explains a mastery-based Calculus II course and reviews the derivative and antiderivative tools students need to begin.
Calculus II ep14: Integration by parts (Oct 8, 2026)
Choose u to simplify under differentiation and dv to be straightforward to integrate; repeat integration by parts when needed.