Math 21, Winter 2018 — Schaeffer/Solis
Improper Integrals, Sequences, and Series


Getting started!


Piazza and Gradescope


Weekly Schedule

In a typical week you will attend three lectures (Mon./Wed./Fri.) and one discussion section (Tues.). The course staff will also hold regular office hours where you can ask questions (no appointment necessary).
Note: You may attend any of our our office hours (O.H.) as listed below. However, please only attend the lecture and discussion section in which you are enrolled or plan to enroll.


Monday Tuesday Wednesday Thursday Friday
George Schaeffer  Lec. 10:30–11:20 (380-Y)
Lec. 1:30–2:20 (Herrin T195)
O.H. 4:30–5:30 (381-G)
Lec. 10:30–11:20 (380-Y)
Lec. 1:30–2:20 (Herrin T195)
O.H. 2:45–4:15 (381-G)
Lec. 10:30–11:20 (380-Y)
Lec. 1:30–2:20 (Herrin T195)
Pablo Solis  Lec. 9:30–10:20 (380-F)
Lec. 11:30–12:20 (Hewlett TC 101)
O.H. 2:45–4:15 (384-F)
Lec. 9:30–10:20 (380-F)
Lec. 11:30–12:20 (Hewlett TC 101)
O.H. 4:30–5:30 (384-F)
Lec. 9:30–10:20 (380-F)
Lec. 11:30–12:20 (Hewlett TC 101)
Ben Lim Disc. 9:30–10:20 (200-013)
Disc. 10:30–11:20 (460-301)
Disc. 11:30–12:20 (Herrin T195)
O.H. 5:30–7:00 (380-U1) O.H. 3:00–4:30 (380-U1)
Adva Wolf Disc. 10:30–11:20 (STLC 115)
Disc. 11:30–12:20 (STLC 115)
Disc. 12:30–1:20 (STLC 115)
O.H. 2:00–3:30 (381-L)
O.H. 1:00–2:30 (160-B40)
Calista Bernard O.H. 5:30–7:00 (380-R)* Disc. 1:30–3:20 (380-Y)† O.H. 5:30–7:00 (380-R)*

† Calista's discussion sections are reserved for students in the ACE program—you must be enrolled in Math 21A to attend. (You may attend Calista's office hours regardless of your enrollment.)
* Note that in order to enter the first floor of Building 380 after 4:30 PM you may need to use the front entrance (i.e., the one which faces out towards Serra Mall and The Oval).

Homework


Prerequisites


Lectures, Handouts, and Notes

If you're looking for a handout from a lecture that you missed, it should be below.
We (Drs. Schaeffer and Solis) will sometimes upload lecture notes throughout the quarter.
WARNINGS: These notes may not be complete/detailed (since they're for us), may differ from actual lecture material, and are NOT a substitute for attending lecture.
However, they should help you if you have an extended absence, fall behind, or think you missed something!
Finally, our lectures are coordinated to cover the same material, but we may have different 'approaches' to it.

Topics covered Book Schaeffer (Winter 2018) Solis (Winter 2018)
Lecture 1 (1/08) What is Math 21 about? Notes Notes
Lecture 2 (1/10) The central question(s) of Math 21
Evaluating improper integrals
7.6 Notes Notes
Lecture 3 (1/12) Convergence/divergence of improper integrals
Limit comparison for improper integrals to infinity
7.6, 7.7 Handout (Solutions)
Lecture 4 (1/17) Growth and decay of functions
Limit comparison for improper integrals to infinity
7.6, 7.7 Notes Notes
Lecture 5 (1/19) Growth and decay of functions
Limit comparison for improper integrals to infinity
7.6, 7.7 Notes
Lecture 6 (1/22) Improper integrals where the integrand is unbounded
improper integrals with multiple issues
7.6, 7.7 Notes Notes
Lecture 7 (1/24) Direct comparison for improper integrals 7.6, 7.7 Notes
More notes on problem/bystander
Notes
Lecture 8 (1/26) Geometric sums and series 9.2 Notes Notes
Lecture 9 (1/29) Review for midterm Notes Notes
Lecture 10 (1/31) Review for midterm
Lecture 11 (2/02) Sequences and series 9.1, 9.3 Notes Notes
Lecture 12 (2/05) Divergence and integral tests 9.3 Notes Notes
Lecture 13 (2/07) Comparison tests 9.4 Notes Notes
Lecture 14 (2/09) Ratio test 9.4 Notes Notes
Lecture 15 (2/12) Absolute convergence, alternating series test 9.4 Notes Notes
Lecture 16 (2/14) Convergence test overview, which test to use when? 9.4 Notes
20 series' solutions
Notes
Lecture 17 (2/16) Power series, intervals of convergence 9.5 Notes Notes

Midterm 1


Midterm 2


Final Exam


Extra Help


Important Dates