Schedule
“Calculus: Early Transcendentals (9th edition)” by James Stewart will be the textbook that we follow.
Zoom link for lectures and office hours: https://rochester.zoom.us/j/5824101757
Lectures are from May 20 to June 26 (the day before final exam) Mon/Tues/Wed/Thurs 9:00 AM- 11:15 AM (June 6 lecture time for midterm)
Recordings and notes will be provided to Blackboard course page. We have two office hours weekly, whose time is updated below as schedule is. Please let me know if you want to schedule brief Zoom meetings in other time)
No lectures/Office hours on Monday May 27 (Memorial) or Wednesday June 19 (Juneteenth)
Week of May 20 (week 1)
Topics: Integrals, the Fundamental Theorem of Calculus (Review); Areas between Curves, Volumes; The Shell Method; Integration by Parts; Trigonometric Integrals; Trigonometric Substitutions.
Monday: Review Chapter 5.
Tuesday: A brief intro to integration by parts (needed for Webwork 1 somewhere), 6.1-6.4
Wednesday: A few more examples in Chapter 6, 6.5
Thursday: 7.1-7.3
No Webwork set is due this week but you should start exploring it.
Week of May 27 (week 2)
Topics: More integration by parts and Trigonometric integral/substitutions; Integration of Rational functions by Partial fractions; Improper Integrals; Arc length
No class Monday May 27 (Memorial Day)
Tuesday: 7.3-7.4, intro to improper integral
Wednesday: improper integral I
Thursday, improper integral II (7.8), intro to arc length (8.1)
Week of June 3 (week 3)
Monday: arc length
Tuesday and Wednesday: review for midterm
Week of June 10 (week 4)
Monday: bride remark on midterm; Parametric curves and intro to polar coordinate system (10.1-10.3).
Tuesday: more polar coordinate (around 10.3)
Wednesday: finishing up polar coordinate (around 10.4). Feynmann’s trick and a counterexample showing that limit in general does not commute with integration.
Thursday: From limit of sequence to limit of summation.
Week of June 17 (week 5)
More sum. power series. Taylor expansion
No lecture Wednesday June 19 (Juneteeth)
Week of June 24 (week 6)
Monday: Taylor expansion continued.
Tuesday and Wednesday review sessions
directly related to final exam, and last half an hour of lectures as office hours.
Thursday 9am-12noon final
Proctored over zoom, and submission to Gradescope After last minute, unless you wish to leave earlier (then you cannot resubmit after leaving Zoom room). Please arrive 5-10 min earlier if you can.