The following lists weekly assignments, broken down into one or two days. You'll see Friday HW is often a little longer than other days.
There is significant use of 'flipped learning', wherein you view a video before I teach the material. These are SHORT and HELPFUL. They are never much different from my approach to a topic.
The boldface day indicates the assignment given date. You are expected to have done this HW by the next class meeting. Your preparation is essential to your progress. I will sometimes check HW at desks, so it's a great idea to keep it in a separate notebook or folder.
Wed: Read Ch 1 in Course Notes for Math 220 (Geoghegan and Brewster)
Do p 5 exercises: #1, 2, 7, 8
View first five videos at SUPPLEMENTAL MATERIALS
Fri (weekend) Read Ch 2 in Course Notes for Math 220 (Geoghegan and Brewster) on View: Finding domain of a function
Do p 16 exercises: #9-15
Do rest of Ch 2 exercises, pp 15-16, #1-6
Although I have not done chapter 3 in lecture, please do read it over the weekend and watch the videos.
Monday The first problems in Ch 3 cover the review of lines, whose general form is px + qy + r = 0.
Do Ch 3 p 26 exercises #1-5
At the VIDEOS link, view the first group of videos (Cost, Revenue, Profit)
Wed Do rest of Ch 3 exercises pp 27-28 #6-16
Do pp 43-44 #1-5
Topics for Quiz 1, Friday, covering Ch 2-3: Sketches of essential functions; finding domain of a function, using interval notation, composition of functions, equations of a line, linear cost, revenue, profit functions
Fri Here are some straightforward solving log and exp equation videos, by three different teachers, all fine!
Do exercises pp 43-44, #8 b e f g, 10 a c e f, 11 e f h, 12, 18, 19, 20 a-e, 21 b d f
Mon No classes, Labor Day!
Per webpage – stay caught up on reading. Always read ahead and watch these videos.
There are plenty of videos for solving equations, but people tend to have the most trouble with radicals. Watch these:
Tues DO THIS Solving equations and inequalities worksheet
Read Ch 5; view Compound Interest videos in VIDEOS
Wed Do Ch 5 exercises first set #1-7, and second set #1-4, 6, 7, 9, 10, 12
Hand in worksheet Fri for grade.
Fri Do the Effective Interest Rates exercises if you skipped in Ch 5
Read Ch 6 Limits and view Finding limits from a graph
More techniques for evaluating limits, Ex 3 (gives a little jump on continuity)
YOU CAN DEFINITELY DO first exercise in Ch 6 p 67 #1-12
If you need more help understanding Limits, see “Section 6” (that is, Chapter 6) block of videos in SUPPLEMENTAL MATERIALS
I often choose problems from the Supplemental Materials Worksheets for quizzes and exams.
Mon Finish Ch 6 p 67 Exercises (through #30). My complete solutions are posted here and on solutions page Ch 6 solutions IGNORE #22
Read Ch 7 and view first two videos under Derivatives at VIDEOS
Wed Watch the rest of the videos under Derivatives at VIDEOS
Also, check out these:
Do Ch 7 Exercises p 71 #1 c, d, e, #2 c and Ch 8 Exercises p 77 #1-4
Brief quiz on Friday on Ch 6, 7/8. A few limits as well as eqn of line tangent to curve using limit def of derivative for slope.
Friday Read Ch 10 a couple times. Watch the videos again on derivatives.
Here's Patrick doing Power rule shortcut examples. You can follow his link to other examples if you need to.
Do Exercises in Ch 10 #1-5 and #6 a-d
1. Finish Ch 10: As assigned Friday, you'll have no trouble finishing Worksheet worksheet on //C//', //R//' and //P//'
2. Do Ch 10 #8-13 and #16 d-n
3. Ch 11, watch Chain rule explained by Patrick mjt
Read Ch 11 and view these short example videos:
Wed Do Ch 11 p 96 #1, and in each of the multi-part #2, 3, 4, do every other one. Also #6, 7 and 13 (every other)
Read Ch 12 (we've done the Leibniz notation – since this chapter should go before chain rule, I taught most of it already. A second derivative entails taking the derivative of a derivative. Don't worry about higher than derivatives than second.
Quiz on Friday on derivative computation (no word problems). I will put the 'forms' I talked about today on the overhead as a guide.
1. Re-read Ch 13 Implicit differentiation (ID); read Ch 14 Related rates (RR)
2. View videos, twice if necessary:
3. Do this worksheet, best you can, and see the same plus full solutions under it:
Mon Do Ch 14, #1, 2, 4, 9, 12, 13
Study for Exam 1, which will be on Friday.
TOPICS FOR EXAM 1: Please prepare your questions for review day (Wednesday) accordingly. Come prepared by looking over HW exercises and supplemental worksheets on these items, so you may ask about any you are still unsure of.
BE ABLE TO:
Wed A few things to help you study:
Do Ch 15 pp 129-130 #1, 2, 4 a-i
WEEK 6 to 7 (Rosh Hashana)
1. Read Ch 15, Critical Numbers of a Function
2. View Extrema
3. Enroll in Lumen OHM
Wed You should be reading Ch 15 and Ch 17
Do Ch 15 pp 129-130 #4 a-i (if you have trouble, watch the videos again from Monday).
Do also Critical numbers worksheet
OHM: Do HW 2.5. Watch this for additional information tomorrow.
Fri Read Ch 17
Do Ch 17 p 141 #1, 2 a-m. As in the video and reading:
1. Find all critical numbers of f(x)
2. Put them on a number line
3. Inspect sign of f' in each interval created: does f increase (f' > 0), decrease (f' < 0), or do neither?
Check your work against the posted solutions.
Mon and Wed Read Ch 18
Print and bring to class this Summary of Curve Sketching Polynomials and Root Functions
Do exercises Ch 18 (in this order) #1, 3 a-e, 2 a, b, e, f, h
Do OHM HW 2.6 after watching the videos there, too. There are only 7 problems, so I will count this as an actual mark and not just for effort (which is how I counted the last one).
You will have a short curve-sketching quiz on Friday!
Fri I have covered all the material in Chapters 19-21, so please read those and view the remaining videos.
Ch 19, do exercises #1 a-c, #2 a d i; Ch 20 pp 167-168 #1 a, #3, #4 a-g #5 c d e f; Ch 21 p 174 #1, 2, 3
Mon Study for Exam 2, Chapters 15-22 (there's a simple concept in Ch 16 I will talk about tomorrow that is easy to understand for a concept question). Ch 22 is another simple concept, absolute extreme on a closed interval.
Topics: Concerning the way derivatives (first and second) affect a curve (increasing, decreasing, local and absolute max and min, concavity, inflection: T/F and short answer and sketch a curve that follows the description given; limits at infinity for all kinds of functions (poly, rational, root, exp and log); curve sketching in detail similar to HW and the quiz, following the Ch 21 instructions (same as we did on the quiz on Friday) – see p 171; finding local max and min and absolute max and min if they exist on a closed interval.
MORE CURVE SKETCHING VIDEOS:
Again, please watch:
Tues This last chapter is a great review of the entire unit.
Read Ch 22
Do Ch 22 exercises p 185 #3 ONLY (solutions to #4-8 are posted)
Unit 3 begins: Optimization!
We'll use OHM for this entire unit! Leave your Course Notes text at home.
Links to various components of OHM are given below, so there's no doubt as what is due when and how to find it. HW includes reading, videos, OHM textbook problems (to prepare for class, as usual) and finally the online OHM HW, which you should look at earlier than the Oct 27 pm due date!
Review reading Ch 2.7 Critical numbers & values
View Fence problem 1
For Monday, do #1-3, 9, 10 in OHM Ch 2.9 Optimization
Mon Keep up the reading in Ch 2.9
For Wed, do #4-8, 13, 14 OHM Ch 2.9 Optimization
View Computer software sales and the videos in the OHM for optimization as well (2.9)
Wed Read Elasticity Online Text 2.10
Friday, do only #16, 17, 18 a & b OHM Ch 2.9 Optimization – these are difficult problems, as it turns out, so do your best. I'll explain them in class.
Here are the two worksheets and solutions from the Supplemental Materials:
Second chance on the desk check Friday. Have some work to show. Supplemental sheets are good, too!
Also for Friday–Video HW:
First, view this excellent presentation of overall picture, NO CALCULUS, explained by an economics professor in a highly accessible way, Prof Tarrok's Elasticity of Demand
Second and third, view the OHM videos, linked here, which give the formulas explained and worked problems OHM Elasticity 1 and OHM Elasticity 2. Note the demand function is labeled D(x), but it means the same as q(p), which we use in class.
Fri Complete the OHM HW Ch 2.9 online. Due Sunday at 6 p.m.
Mon Do Supp Mat'ls elasticity exercises on Elasticity worksheet
and OHM Homework 2.10 (note, I have deleted the first two problems; there are only 5 problems or so)
Quiz Wed in class on Optimization / Elasticity
Tues Due to my absence Monday, the quiz will be on Friday.
Optimization problems to hand in are due Wed (instead of Mon)
Wed Read Ch 4.1 Lumen OHM text Ch 4 pp 234-239
Do in same Exercises #1-6 on p 249 and #11, 13, 19, 21, 23 on p 250
STUDY FOR QUIZ FRIDAY:
1. Practice problems for quiz–Notice #5 is not constrained by volume, but simply by minimizing cost. If it had a volume it had to hold, it would be more like #6. I won't give you exactly these problems, as the numbers will be different.
Optimization practice problem solutions (first two are at end of scan)
2. Ch 24, p 199 #1-9 in Course Notes
Thurs Watch this or you will be lost tomorrow, as I am not spending loads of time on computation of partials:
You might have missed this one on Lumen: Lumen video 1 Functions of 2 variables
The OHM for this is not due till Friday 10 pm, but you could do it sooner
Fri through Wednesday Lagrange Multiplier Method–solving a constrained optimization problem
1. HEADS UP–Last OHM online till next unit: OHM Online HW: 4.1 due Friday 10 pm and 4.2 due Mon 10 pm
2. Partial derivatives reading: Course Notes Ch 27, and OHM text p 255, Examples 3 and 4 on pp 258-259
3. Do Course Notes p 219 Exercises #1 a b c e f i, 2, 3, 4
4. Do 4.2 OHM Online (due Monday night)
5. Reading on Lagrange multiplier method: Course Notes Ch 29 and //Bittinger// pp 579-58
Mon Do Lagrange method exercises in Bittinger pp 587, #1-13 odd and #17-21 and #25
and in Course Notes Ch 29 exercises
Study for Exam 3–Optimization, including Supplemental worksheets on Lagrange method (these are mostly the same as in Course Notes)
Wed Study for Exam 3, all types of optimization, including elasticity, maximizing revenue, etc, constraints using Lagrange multiplier method, derivatives and partial derivatives. Interpreting partial derivatices, for example, the Cobbs-Douglas function problem
Studying for Exam 3 Any of the above materials are good. A good way to review theory is to read Ch 24, 26, 27 and 29. Also, the OHM readings and HW you submitted.
I will suggest some focus-type problems, but don't conclude these are the exam questions. THEY ARE NOT. They are merely a guide.
The topics are derivatives, partial derivatives (pure first and second partials only, no mixed), interpretation of partials in terms of multivariable functions. Geometric and non-geometric optimization (one to be done with Lagrange and taken form among Alternate text. A Cobbs-Douglas function, to calculate partials, evaluate, and interpret as in the video I showed in class Here's a similar one. An elasticity function similar to Ch 24 and supplemental worksheet problems and videos. A hot-dog-type optimization as well as a straightforward single variable business, where you will be expected to form the functions from givens. And, some kind of synthesis to show you have absorbed the material.
Fri Read pp 372-376 of Ch 5 Integration in TEXT, Hoffman et al.
Mon Read again, pp 372-376 of Ch 5 Integration in TEXT, Hoffman et al.
Do #1-25 on p 381 of TEXT, Hoffman and Bradley
Do Ch 30 #3-8 all; note error in wording on #5, it should say MC is cost to produce (x + 1)th item (Solutions are posted)
UPDATE: OHM HW 3.3 is due Thursday, but I removed definite integral problems
Fri OHM HW 3.4 is due Sunday night; Do Ch 31 #1 a b c f h k l, # 2-5 pp 248-249
Mon-Tues TOPICS: u-Substitution; Area Under a Curve
Do u-substitution exercises in Hoffman et al. pp 394-395 #3-25 and #51-55 (you can read section before it if you still need to see examples of u-substitution)
View the complementary videos, which are foundational to this unit. Plan to spend about 30 minutes watching them over the course of the two days. The function called the antiderivative needs more thought than what was needed to understand derivative. Watch these over the next two days.
Start OHM HW 3.1 (due Thursday)
Also, practice from Supplemental Materials: Definite integration including with u-sub, #1-7 only
Helpful video: Interpreting meaning of area under f(x)
Tomorrow, there is an in-class quiz on u-substitution and definite integral, including word problem
Mon View Integration by parts
Read Ch 32 ofCourse Notes on Integration by Parts and OHM Text Ch 3.5 Integration by Parts