Class Agenda: January 1 – January 30, 2026
Class Agenda: January 1 – January 30, 2026
•Classes do not meet today
•HW: None.
•Classes do not meet today
•HW: None.
Pencast on Parametric Functions and Their Derivatives viewable at https://youtu.be/9ItVf0Q6_5o or click here.
Pencast on the Parametric Second Derivative viewable at https://youtu.be/3eKFSLwABkU or click here.
Pencast on Calculator Play For Nerds viewable at https://youtu.be/kTvohB-t7EA or click here.
•The anti-derivative; meaning; examples relating to known derivatives
•HW: Watch pencasts and work on HW1 on PFD.
Today’s Board Notes available in GC or click here.
HW1 on PFD available in GC or click here.
•Parametric derivatives; fly example; vertical vs horizontal vs singular point
•Lissajous Curve
•More antidifferentiation examples; KDF; don't for get the "C" and why
•HW: Watch pencasts and work on HW1 on PFD.
Today’s Board Notes available in GC or click here.
•Class does not meet today.
•HW: Watch pencasts and work on HW1 on PFD.
•Prolate Cycloid
•Area "under" f(x); rectangular approximations; L, R, and M and how they relate to the exact area
•HW: Find L for f(x) = x^2 on [0, 5] with n = 6. Watch pencasts and work on HW1 on PFD.
Today’s Board Notes available in GC or click here.
•Go over HW in abject detail; generate formulaic approach
•Why care about area; if f(x) is a rate, then the area "under" is the quantity that's changed over [a, b]; units
•Positive vs negative area; integration; notation; dx; A(x) vs A'(x); integrand
•HW: Watch pencasts and work on HW1 on PFD.
Today’s Board Notes available in GC or click here.
•Section 7.2: The Indefinite Integral; notation; integrand; dx as the analog for width; example
•The "reverse" exponent rule
•Anti-differentiate by morphing the integrand into the "reverse" exponent rule form or some other KDF
•Section 7.3: u-substitution; examples from textbook
•HW: Finish HW1 on Integration; check Key when posted.
Today’s Board Notes available in GC or click here.
HW1 on Integration available in GC or click here.
•Finish Section 7.3 examples
•In-class work time (60 min) on HW1 on Integration and HW2 on Integration
•HW: Finish HW1 on Integration; check Key when posted.
Today’s Board Notes available in GC or click here.
HW2 on Integration available in GC or click here.
Key to HW1 – PFD available in GC or click here.
AP Quiz #11 on Friday, January 16!
•Class does not meet today.
•HW: Nothing new.
•In-class work time (50 min) on HW2 on Integration
•HW: Finish HW2 on Integration; check Key when posted. APQ tomorrow!
Key to HW1 – Integration available in GC or click here.
•APQ #11!
•HW: Finish HW sheets; check keys.; advanced integration part 2 on Tuesday!
APQ #11 available in GC or click here.
The Key to the PFD Integration available in GC or click here.
•Classes do not meet today
•HW: Nothing new.
The Musical Rundown of all derivtive formulae viewable at: https://youtu.be/LhO3pIwtRPo or click here.
Pencast on Viewing the Derivative viewable at: https://youtu.be/qu5cOunKoEc or click here.
Key to HW2 – Integration available in GC or click here.
•FRQ 2010B#03; go over
•IBP all 4 varieties
•Discuss Exam #05 and #06; distribute Exam #05 Study Sheet
•HW: Finish up Integration HW sheets; check keys; work on Exam #05 SS; watch Derivative Recital; watch Viewing The Derivative.
Exam #05 Study Sheet available in GC or click here.
Exam #05 will take place in a Part1/Part 2 fashion on January 29 and 30!
Today’s Board Notes available in GC or click here.
•Class does not meet today.
•HW: Nothing new.
•Trapezoidal Approximations; compensates for tone and not concavity; formula; example; inscribed rectangles
•HW: Work on Exam #05 Study Sheet.
Today’s Board Notes available in GC or click here.
•In-class work time (50 min) on Exam #05 Study Sheet
•HW: Work on Exam #05 Study Sheet.
Exam #06 available in GC or click here. Due by 1:45:00 PM PST on Friday, February 6!
•AP Quiz #12!
•HW:
APQ #12 available in GC or click here.
•Section 7.4; Sigma notation; components; vocab; integer progression; example
•Open form example; computational formulae; open form vs closed form; example
•Changing the limit of summation
•In-class work time (45 min) on Exam #05 Study Sheet
•HW: Get ready for Exam #05 on Thursday & Friday! Work on take-home Exam #06.
Today’s Board Notes available in GC or click here.
•Class does not meet today.
•HW: Nothing new.
•Exam #05 – Part 1!
•HW: Prepare, as needed, for Part 2 TOMORROW!
•Exam #05 – Part 2!
•HW: None; relax!