MATH 252a - Accelerated Calculus II
|
Office Hours: Ross: Dennis Le (TA): Learning Emporium |
|
| Other useful course resources:
|
|
| Date: | Assignment(s): | Handouts |
| January 8 (M) | Class: Go over syllabus; inverse functions (6.1)
Assignment for Wednesday:
HW from 6.1 will be discussed Wednesday, Jan 17 |
|
| January 10 (W) | Class: Start logs, exponentials (6.1*-6.4*)
Assignment:
|
|
| WebWork:
I would like everyone to try the first assignment, which is called "Orientation"as soon as possible. These are some simple problems you should all be able to do, together with instructions on using the interface. I am not counting your score on this one, but I want to see that you've at least tried a selection of the problems. I will put up a 'real' assignment in the next couple of days. VIDEO TUTORIAL (best viewed in fullscreen mode; use controls to pause or single step) (Note: no sound in the video.) To log in to WebWork, go to https://webwork.oer.hawaii.edu/webwork2/Math_252A_Spring_2024_Ross/ Your login should be either your UH email address, or the part of that address before the @ sign. For example, if your UH email is myname@hawaii.edu, your login should be myname Your initial password is your 8 digit UH ID number. This is a FREE FOR YOU online homework system. As discussed in the syllabus and in class, I will be giving some assignments using it. It isn't hard to use, and will even let you check correctness of your answers before submitting them. |
||
| January 12 (F) | Class: Finish logs, exponentials (6.2*-6.4*).
Assignment:
|
|
| January 15 (M) | MLK Day; NO CLASS. | |
| January 17 (W) | Class: Start inverse trig functions (6.6). NOTE: We are skipping 6.5 until later.
Come with questions on the 6.1*-6.4* HW (though mainly for recitation) Assignment:
|
|
| January 19 (F) | Class: Finish(?) inverse trig. Start l'Hospital's rule (6.8) NOTE: We are skipping 6.7, it will be an extra credit topic. QUIZ on 6.1, 6.2*-6.4* Assignment:
|
|
| January 22 (M) | Class: Finish l'Hospital's rule. Start: Techniques of Integration (Ch. 7) (if time) | |
| January 24 (W) | Class: Techniques of Integration (Ch. 7); discuss HW on 6.6, 6.8 (though mainly in recitation)
Assignment:
|
|
| January 26 (F) | Class: Quiz on 6.6, 6.8 Integrating products and powers of trig functions. | Slides for todays lecture (integration of trig functions) |
| January 29 (M) | Class: Finish products and powers of trig functions. Assignment:
|
Integral of cos^12(x) two ways:
|
| January 31 (W) | NOTE: Last day to drop without a 'W'
Class: Finish trig substitutions. Assignment:
|
|
| February 2 (F) | Class: Quiz on 7.1, 7.2. Start Partial Fractions Decomposition | Formulas I will give you for this quiz. |
| February 5 (M) | Class: Finish Partial Fractions Decomposition. Discuss HW from 7.3
Problems: (not to be turned in)
|
|
| February 7 (W) | Class: Integration strategy (7.5). Exam review. | |
| February 9 (F) | MIDTERM I.
Will cover: 6.1, 6.2*, 6.3*, 6.4*, 6.6, 6.8, 7.1-7.3 |
SOLUTIONS TO MIDTERM 1 |
| February 12 (M) | Class: Finish integration strategy
Problems: (not to be turned in)
|
|
Extra Credit Homework: the Weierstrass "half-angle" substitution(Due March 25 - after Spring break -but it might be easier for you to do it now, especially as there might be other videos to watch over the break.) First, watch THIS VIDEO on the half-angle substitution. (It is only 5 minutes!) Next, do THIS PROBLEM SET using the substitution. You are encouraged to both watch the video and do the problems with classmates, but please do not just copy their answers! |
||
| February 14 (W) | Class: Approximate integration (7.7)
Problems: (not to be turned in)
|
Slides from today's lecture |
| February 16 (F) | Class: Quiz on 7.4, 7.5; Start improper integrals (7.8)
Problems: (not to be turned in)
|
|
| February 19 (M) | President's Day -- NO CLASS | |
Extra Credit Homework: the Hyperbolic functions(Due March 25 - after Spring break - but it might be easier for you to do it now, especially as there might be other videos to watch over the break.) First, watch THIS VIDEO on the hyperbolic functions. (It is only 10 minutes!) (Here are the slides used to make that video.) Next, do the WebWork assignment called HyperbolicTrig You are encouraged to both watch the video and do the problems with classmates, but note that WebWork randomizes questions, so your classmate might have different problems than you do. |
||
| February 21 (W) | Class: Finish improper integrals (7.8)
Problems: (not to be turned in)
|
|
| February 23 (F) | Class: Quiz on 7.7, 7.8 (only the first block of 7.8 problems). Start Chapter 11 (I hope) | Video on sequences.
It is very short (only 5 minutes!) but contains quite a lot of material. Try to watch it by Friday, but I will certainly expect you to have watched it by Monday. |
| February 26 (M) | Class: Continue sequences (11.1). Start series? (11.2)
Problems: (not to be turned in)
There will also be a WebWork assignment on these |
Slides on sequences (from class lecture) |
| February 28 (W) | Class: Intro to Series (11.2)
Problems: (not to be turned in)
|
Slides on series (from class lecture) |
| March 1 (F) | Class: |
Video intro to series (essentially highlights of what we're doing in class) |
| March 3 (M) | Class: Finish 11.2. Start Integral test (11.3).
Problems: (not to be turned in)
|
|
| March 5 (W) | Class: Comparison tests (11.4) (Recitation session with Dennis should begin midterm review) |
|
| March 8 (F) | Midterm review Continue 11.4(?) |
|
| March 11 (M) | MIDTERM II
Will cover: 7.4, 7.5, 7.7, 7.8, 11.1, 11.2 Information on the exam (including some review problems) Here are some more (trig) integrals you can try. (Some of them are really more 7.3-type problems) |
TABLE OF INTEGRALS
(I will give you this during the exam) |
| March 13 (W) | Class: Continue comparison tests (11.4) . Alternating series and absolute convergence (11.5, a little of 11.6)
Problems: (not to be turned in)
|
|
| March 15 (F) | Class: Alternating series and absolute convergence (11.5, a little of 11.6). (Hopefully) return exam.
Problems: (not to be turned in)
|
|
| March 18-22 | SPRING BREAK | |
| March 25 (M) | Class: Discuss homework. If time, start root and ratio tests | |
| March 27 (W) | Class: Root and ratio tests.
Quiz on 11.3, 11.4 (during recitation section) Problems: (not to be turned in)
|
Lecture notes on Absolute Convergence and Root and Ratio Tests |
| March 29 (F) | GOOD FRIDAY -- NO CLASS | |
| April 1 (M) | Class: Rearrangements. Start power series (11.8).
Problems: (not to be turned in)
|
Lecture notes on power series (11.8-11.10)
(Doesn't include introductory lectures on finding IOC/ROC) |
| April 3 (W) | Class: Continue power series (11.8).
Problems: (not to be turned in)
|
|
| April 5 (F) | Quiz on 11.5, 6 | IOC example that I messed up in class. |
| April 8 (M) | Class: Continue power series (11.9). Start Taylor Series (11.10)
Problems: (not to be turned in)
|
|
| April 10 (W) | Class:Continue Taylor Series (11.10).
Problems: (not to be turned in)
|
Video deriving the formulas for the remainder estimates for power series.
(While this is optional, anyone thinking of majoring in math or physics or astro or EE should definitely watch it, and for anyone else, it is a nice application of IBP.) |
| April 12 (F) | Class: Quiz on 11.7-8. Discuss 11.9 HW. Finish Taylor Series. | Handout on complex numbers
(I might post a video at some point to go with this!) |
| April 15 (M) | Class: Exam Review. Start ODEs. | |
| April 17 (W) | MIDTERM III | SOLUTIONS TO MIDTERM 3 PART A |
| April 19 (F) | Class: ODEs. Mainly done by video. Sections 9.1, 9.2; Existence/Uniqueness Theorems (not in book); Binomial Theorem
Problems: (not to be turned in)
|
Videos:
1. Introduction to ODEs (12 minutes) This video introduces the terms: Ordinary differential equation, Initial value problem, Initial condition, order of a differential equation, particular solution, general solution. You should watch at least the first 4 minutes of this video before class on Friday, April 19 (the rest before Monday) 2. Separation of Variables (23 minutes) You should watch this one before Monday. Sorry about the sound on these, I just used my terrible laptop microphone for them. ----- Added April 19: |
| April 22 (M) | Class: ODEs: Separation of variables. Watch the first 2 videos to prep for class.
Problems: (not to be turned in)
|
Video:
3. First order Linear ODEs (16 minutes) Watch before Wednesday |
| April 24 (W) | Class: Finish ODEs. (Watch the 3rd ODE video to prepare for class.) Start Polar coordinates.
Problems: (not to be turned in)
|
Videos on Polar Coordinates. We're covering 10.3 and 10.4 (just areas) in the text (which should be doable without 10.1-10.2, which we do in more generality in Math 253a) |
| April 26 (F) | Class: Polar coordinates
Problems: (not to be turned in)
Quiz on 11.10, 9.1, 9.2, 9.3 |
Some 11.10 solutions, by request |
| April 29 (M) | Class: Polar coordinates | |
| May 1 (W) | LAST DAY OF CLASS
Class: Polar coordinates |
|
| May 2 (Th) | MATH JAM
9am to 2pm Keller 3rd and 4th floors |
|
| May 9 (Th) | REVIEW SESSION (optional)
Keller 414, 4:00 - 6:00 pm. |
|
Last Extra Credit Assignment: Series Solutions to Differential EquationsHere it is.Read the posted chapter (also the two more examples I attached after the chapter), then do the circled problems. Due Wednesday, May 8 at midnight (I'll put a link at laulima for uploading it) |
||
| May 10 (F) | FINAL EXAM
Keller 402 (usual room), 12-2 Some review materials: Some past common Math 242 finals. Note these are a subset of what you can expect: no polar coordinates, and fewer theory/hard problems! |
|