Ivan's Math 226 Discussion Plans

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1	Ivan's Math 226 Discussion Plans
2	Ivan's Personal Updates	Date	Week	Session Number	Handout Problems Ivan Plans to Discuss on the Board	Comments (E.g., Any other handout/homework problems Ivan should cover? I recommend other handout problems here, but if you provide a homework problem, I'll try to give you its hint.) *Please provide the problem numbers by 12:30 pm on Tue/Thu so I can prepare and find the best way to cover them.	Feedback or Questions (Is there anything you would like to share with Ivan? Your critical feedback is particularly valued. If you ask a question here, I will answer it during my Email Responding Time (8:30-9pm) each day. Feel free to edit the sheet directly—your responses will remain anonymous.)

3	Best of luck with your final exam! 😺	N/A	Week 16	N/A	N/A
4	Quiz 10 topics: P2: Divergence Theorem, similar to the first problem we discussed today (Example 1 in Week 15a); P1: Spherical Coordinates (refer to "Circle 3 (S)" in today's formula sheet).	11/30	Week 15b (Thursday)	28	Spring 2016 Final P8 in detail + Quiz 10 (The Final Quiz) 🎉	§13.9 18 §Review 32 [Solutions to §13.9 18 and §Review 32 have been uploaded to our Folder. --Ivan]
5	My solutions to §12.7 #42 and §13.9 #24 (common questions), together with our discussion's color guide, are in the Google folder. — Ivan; 8:51PM Sun Nov 26	11/28	Week 15a (Tuesday)	27	(Ex 1 + Ex 3) in detail	§12.7 26, 42 §13.9 10, 14
6	In Conversation with You—Nurturing Academic Success	11/21	Week 14a (Tuesday)	26	Quiz 9 Solutions + Ex 3 in detail + HW questions in the right column	HW §13.7 16 26; HW §13.8 6, 18
7	The solution to "HW 13b - §12.6 Q28" is in our folder now. — Ivan; 8:20PM Thu Nov 16	11/16	Week 13b (Thursday)	25	Ex 2 + Ex 3 + Quiz 9 [Quiz 9 will cover §12.6 and §13.6.]	HW 13b - §12.6 Q28 [I’ll soon write out the solution and post it to our folder. --Ivan]
8	1. The hint of §12.6 Q28 is in the Drive Folder. I'm sorry that I forgot to prepare last Thursday. We'll discuss this question in detial in today's discussion. 2. The quiz rubric hasn't been posted yet, so I'll have to delay quiz grading this week for a while. — Ivan; 6:47PM Sat Nov 11	11/14	Week 13a (Tuesday)	24	Quiz 8 Solutions + Ex 2 + Ex 1 + The right column [The last two Exercises are simpler.]	HW 13b - §12.6 Q28
9	This quiz is challenging. For quiz preparation, please review all Examples in §13.5 (Div and Curl) of the textbook and the first homework problem we discussed on Tuesday.	11/9	Week 12b (Thursday)	23	Ex 1(a)(b) + Ex 2 + Quiz 8 (Setting up the integrals) Delete Ex 3 (which includes an infinite solid, not interesting) [Quiz 8 will cover §12.5 and §13.5.]	HW 13b - §12.6 Q28 [I didn't see this question last time. I'll provide the hint soon. --Ivan]
10	I'm grading Problems 1 and 3 on the exam, and we'll finish grading by Tuesday night. — Ivan; 8:30PM Sat Nov 4	11/7	Week 12a (Tuesday)	22	Ex 3 (a)(b)(d) + HW problems in the right colume	HW §12.5 Q14, 38, 42 HW §13.5 Q24 WITHOUT USING COMPONENTS [The curl of a vector field is defined in terms of its components, and here, I see no alternative but to rely on them. Fortunately, working with components here is not overly difficult. -- Ivan]
11	Correction: On Practice Midterm 2, questions 4 and 5 should correspond to Circles 6' and 6, respectively. (I mixed up the order on my printed handout.)	11/2	Week 11b (Thursday)	21	Review Session II: Questions from the right column	Please provide your questions from these two exams by 12:30 pm on Thursday. Practice Midterm II: #13, #12, #14 Fall 2022 Midterm II: #5 Anything else:
12	1. My hints for Practice Midterm 2 and Fall 2022 Exam 2 are in our Google folder. 2. Happy Ha∫∫oween, everyone! May your pumpkins be as round as unit spheres! 🎃 May you reach the global maximum of your candy function! 🍬 May your night be as smooth as a gradient vector field, always pointing you to the candy! — Ivan; 7:30PM Sun Oct 29	10/31	Week 11a (Tuesday)	20	Review Session: Quiz 7 Solutions + Fall 2022 Exam II: P4 (a) + Practice Midterm II: 1(a)~(d)	Classwork questions 1-4	Please use more analolgies in your discussions. I find it incredibly helpful to first understand the "picture" (as Einstein put it) of the problem. For example, relating vector fields to water in a stream, or describing a shape as a pumpkin. You get the idea. Reply: Awesome suggestion! I love the idea of making things more relatable through analogies. Expect to see vector fields as streams and shapes as pumpkins in future classes. Thanks a lot for the tip! -- Ivan :)
13	For quiz preparation, I recommend reviewing the first two homework problems (#6 and #10) from Section 13.2 that we discussed last time. Also, practice some typical problems related to Green's theorem.	10/26	Week 10b (Thursday)	19	Ex 1 + Ex 2 + Quiz 7 [Quiz 7 will cover §13.1-13.4]	13.4 Question 8	When going through a problem, can you please go through every step needed in a problem? Many of the minute, specific computations are glossed over during discussion. Knowing the minutae helps me better understand a problem. For example, you sometimes skip over u-substitution or use some other shortcut that I'm not aware of, so writing it all out really helps a lot. Reply: Certainly, thank you for your fantastic suggestion! There’s always a balance I strive to strike between covering enough detail in one problem and covering enough number of problems in your handout. I’ll make sure to cover every detail while preserving my easy-to-understand teaching style down the road, and never let it go. -- Ivan :)
14	In Conversation with You — My Oath as a Math Educator	10/24	Week 10a (Tuesday)	18	Quiz 6 Solutions + Ex 1 (a)(b)(c)(d) convert them into Calc I integrals + Ex 2 (a)(b) in detail	13.2 #6, #10, #46; 13.4 #8, #18, #20. 13.3 #12 (I didn't see the last one (13.3 #12) you put; I'll write the hint for this one and put it in the Google folder soon. -- Ivan; 6:42 PM, Oct 24. It's there now. -- Ivan)
15	All Suggestions Received from the Survey and My Responses: -------------------------------------------------------- "Is there any way to give the solutions of each question on separate pages so it's not all squished together and easier to read?" -- Absolutely, that's a fantastic suggestion! I'll make sure to implement it going forward. -------------------------------------------------------- "...If anything, I might suggest continuing to print out the formulas you write on the boards. To me, your notes are really helpful and it's easier to remember the formulas when I have a physical copy rather than have to go on my computer for them..." -- Of course, thank you for the praise! I'll make it a point to print out the formulas each time. -------------------------------------------------------- Besides suggestions, I also greatly appreciate other kind comments with approval and encouragement. I've read all of them and I thank you for your heartfelt support!	10/19	Week 9b (Thursday)	17	Ex 1 (a)(b)(c)(d) + Quiz 6 [Quiz 6 will focus on §11.8 and §12.2-4, it will not include §13.1.]
16	It happens when the homework problems are numerous and challenging, and the deadline is looming. It's natural to have complaints. As a student myself, I can certainly relate to that. However, I've always encouraged you to do your best and view each homework assignment as an opportunity to excel in your studies. When you navigate the gear of your academic journey well, the journey can be enjoyable. It all depends on how you view and feel about it. Having a large volume of homework can be an excellent opportunity for you to integrate the concepts and formulas you’ve learned into your mathematical toolbox, enabling you to know not just when, but also how deeply to apply them—making them a part of you. This will give you a deep understanding of what’s going on, which is essential for doing well in this course in a way that can positively influence your life. -- Ivan	10/17	Week 9a (Tuesday)	16	Ex 2 hint + (Ex 3 + Ex 4) in detail	12.3 31b
17	Remember my message: I never judge you based on your scores. Regardless of your performance on the midterm, you are still the best. Have a great break!	10/10	Week 8a (Tuesday)	15	Ex 6 + Ex 3 [Handout 8a Typo: In Ex 7, change the lower limit of the inner integral from \sqrt{y} to \sqrt{x}.]	§11.8 40,42 and §12.2 44
18	The midterm has been graded but Emerson will determine when to publish scores. This week's quiz will be graded once the rubric has been published.	10/5	Week 7b (Thursday)	14	Ex 1 (a)(b) + Quiz 5 [Quiz 5 will cover §11.6-11.7]	§11.7 24,26 & §12.1 30,34
19	Happy October! 😺	10/3	Week 7a (Tuesday)	13	Ex 1 (a)(b)(d)(f)	Homework 7a: §11.6 #16, #26(ab)c How to find the angle? §11.5 #22, #38, #42 (how to find the second order?)
20	This Saturday, I'll be occupied with my Email Responding Time (8:30–9:00 pm), so I'll shift it to 1:00–1:30 pm earlier that day.	9/28	Week 6b (Thursday)	12	Practice Midterm I: 4(c) + 9(d)(g) [Midterm I will cover §10.1-7, §11.1, and §11.3-4.]	Please provide your questions from these two exams by 12:30 pm on Thursday. Practice Midterm I: answer on all (#1, 3b, 4, 6a please) Fall 2022 Midterm I: Anything else: #5 on 10-review
21	In my "Week 6a Review Session Formulas" handout, I made a typo in Formula ⑤: the seocnd component of the last line should be -(a_1b_3-a_3b_1). Sorry for that. --Ivan	9/26	Week 6a (Tuesday)	11	Quiz 2 Solutions + Midterm Review Session
22		9/21	Week 5b (Thursday)	10	Week 5a Handout Review + Week 5b: Ex 1(a) in detail + Quiz 4 [Quiz 4 will cover §11.3-4.]	§11.4: #28, Week 5a Exercise 1e.
23		9/19	Week 5a (Tuesday)	9	Quiz 3 Solutions + Ex 1 (a), (b)[f=0 case], (c), (d)[f_x part], (e)[f_xx part] + Ex 2 (Implicit Differentiation) in detail	§11.3: #50, #68
24		9/14	Week 4b (Thursday)	8	Week 4a Handout Review + Week 4b: Ex 1 (b) + Quiz 3 [Quiz 3 will basically cover §10.7 (Vector Functions and Space Curves).]	Chapter 10 Review #34 (hw 4b)
25	The discussion will be back in person. -- Ivan	9/12	Week 4a (Tuesday)	7	Ex 2 + Ex 3 (a)(b)(c)(d)	Section 10.7 Problem #24 - how to graph it?
26	The discussion will be still online. -- Ivan	9/7	Week 3b (Thursday)	6	Tuesday's Handout 3a: Ex 1 (a)(b) + Today's Handout 3b: Ex 1 (a)(b)(c)(d)
27	Today's Discussion Online! -- Ivan	9/5	Week 3a (Tuesday)	5	Ex 2 + Ex 3 (b)(c) [Handout 3a Typo: In Ex 1 change the last component of the second vector to 13-2t]	10.5 14 and 18
28		8/31	Week 2b (Thursday)	4	Ex 1(b)(c)(d) in detail + Quiz 1	10.2 #28; 10.4 #30
29		8/29	Week 2a (Tuesday)	3	Ex 1 + Ex 4(a)(b)(c)(d) + Ex 5 all in detail	10.4 #40) torque problem (how to get angle?)
30		8/24	Week 1b (Thursday)	2	Ex 12 + Ex 18 + Ex 19 all in detail
31		8/22	Week 1a (Tuesday)	1	Calculus Review: Ex 3(a) + Ex 8
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