Math 21B (Calculus, second course) - Winter 2006

Instructor: Dr. Duane Kouba
MAIN Course Homepage: Dr. Kouba's 21B page
Your TA: Eddie Kim

My Office Hours Mondays from 12:10p - 1:30p and Wednesdays from 1:10p - 2:30p and by appointment (just send me an e-mail) in 3217 Mathematical Sciences Building

Contact me E-mail address: Feel free to send me an AOL instant message:

E-mail List

I maintain an e-mail list for my discussions (the subject always starts with [21B], if you wanted to add an e-mail filter or something), with information about review sessions or tentative plans for section and whatnot. If you'd like to be added to the list, please send me an e-mail (address is above).

Basic Course Info

The registrar's office maintains the official calendar regarding deadlines for dropping, adding, or changing the grading option for courses. Please pay close attention to these dates. If you don't, it will only lead to tears and bloodshed.

Lectures:
MWF 11:00 - 11:50A in Wellman 202

My Discussion Sections:
Wellman 103; Tuesdays 05:10 - 06:00P      (Section B02, CRN: 60623)
Wellman 103; Tuesdays 06:10 - 07:00P      (Section B03, CRN: 60624)

Other Resources and Advice

Consider tutoring: The Learning Skills Center offers free tutoring for UCD students. If you'd rather go the paid route, the math department website maintains a list of tutors for hire. Come to office hours. If you can't make them, e-mail me about setting up an alternate appointment. I really appreciate the chance to be able to explain a problem one-on-one, and I will go out of my way (time-wise) in being accessible to you. Dr. Kouba's calculus tips really apply to any math class. Look up solutions to problems whenever you can. Don't just do the HW, verify your work with posted online solutions, with a friend who does well in the class, with the professor, or with a TA.

Discussion Sheet Solutions

• Discussion sheet 2 partial solutions and hints
• Discussion sheet 4 solutions
• Discussion sheet 7 solutions - In the PDF, I made an error in the solution of Question 1, Part H. When I split up the intrgal, I copied the second integral's denominator incorrectly, so the integral that I calculated is correct, but is not the one I want. You can still make a v-substitution that looks like the choice I made and complete the problem.
• Discussion sheet 8 solutions - Somewhat thorough. Just take some points off for incompleteness. ;-)
• Discussion sheet 8 solutions (page 2) - The scanner is acting up and not feeding my papers correctly. Here's 1 parts C, D, and E on a single PDF.
• Discussion sheet 9 solutions - Revised edition.
• Discussion sheet 10 solutions

Final Exam Review

I will hold a review session on Thursday March 16th, at 4-6 pm in 202 Wellman Hall (the room where lecture occurs). If you have any specific types of problems you want to go over, or specific homework and/or discussion sheet questions, let me know in advance if possible. Otherwise, I'll prepare some problems. The final exam is happening on Saturday March 18 in 202 Wellman from 4:00 to 6:00 pm. You won't want to miss it. Other office hours are:

• Monday 3.13, 12:10 pm - 1:30 pm, 3217 Mathematical Sciences Building (MSB)
• Wednesday 3.15, 1:10 pm - 2:30 pm, 3217 MSB
• Thursday 3.16, 1:30 pm - 3:30 pm, Outdoors at the MU, see map below
• Friday 3.17, 10 am to 1:30 pm, 3217 MSB

Here's a map with an approximate red dot of where Thursday afternoon's office hours will be:

Third Midterm Review

I will hold all the additional hours listed below ahead of next Wed's midterm:

1. Friday, March 3rd - 3 pm to as late as you want (but I think the math building is locked at 6 pm), in my office

2. Saturday, March 4th - 1 pm to 4pm at the coverd benches in the overhang just south of the MU. (See map below)

(On Monday, I will hold my usual 12:10 to 1:30 pm office hour)

3. Additionally, I'll hold another 3pm to whenever office hour on Monday the 6th.

4. Tuesday, I will arrive extra early and stay late for discussion.

5. Earlier in the day on Tuesday the 7th, I will hold office hours in my office from 1 pm to 3 pm.

Here's a map with an approximate red dot of where Saturday's office hours will be:

Second Midterm Review

I will hold a review session. Wednesday Feb 8th, at 5-7 pm in 204 Art Building. Please come with questions prepared or specific problems. Also expect that if the problem is particularly hard, I may get stuck doing the problem in front of 60 people. If you'd like to e-mail or slip a note to me on Tuesday discussion with any warnings for really hard questions you might ask for Wednesday, that would be much appreciated. Hope to see you at the review session.

EXTRA OFFICE HOUR: The day after (Thursday the 9th), I'll hold an extra office hour (in 3217 MSB) from 4-5pm. Note that I still have my usual Monday and Wednesday office hours in this first full week of February.

First Midterm Review

To prep for midterm 1, I will have extra office hours:

Jan 20th (Friday) 2p-4p
Location: 3217 Mathematical Sciences Building

Jan 21st (Saturday) 10a-noon & 2p-5p
Location: The covered outdoor tables near the MU flagpole

Here's a map with an approximate red dot of where I think I'm saying I'll be:

The Princpial of Mathematical Induction

On the first discussion sheet, there was a problem about calculating a formula for the sum of the first n square numbers. The proof of such a thing is done through the "principle of mathematical induction". The book explains it better in print than I could, so I'll defer to it: see appendix A.1, which is on what would be page number 1213. I don't know if an induction question would show up on the midterm or not, so don't spend forever on it, but don't spend zero time on it either. If the book's explanation doesn't make sense, drop by my office hours.