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people:mckenzie:math_220_hw

Scan of Chapters 1, 2, 3 of text

The date (in bold) refers to the day the assignment is given, not when it is due.

Doing homework daily (making an honest effort and using anything at your disposal) is the only way to succeed in the course. I will occasionally collect a set of problems, which I will announce ahead of time. Usually, though, a collected assignment is a separate problem I hand out.


Week 1


Tues-Wed Jan 16-17 Read Sec 1 and Sec 2; problems Ch 1, p 5, #1, 2, 7, 8; problems Ch 2, pp 15-16, #1-13

Study your notes on graph sketches to know.

The math 220 Video page is mainly for calculus. But, if you need to brush up on exponents and radicals, or on domain of a function, check out Math 108 video link. The first couple of links there are for exponents and radicals. Scroll down a little way to find the link for finding domain of a function.

Fri-weekend Jan 19-21 Read Sec 3 and Sec 4; do problems Sec 3, pp 26-27

View Break even problem 1, Break even problem 2

Go to SUPPLEMENTAL MATERIALS and do Worksheets 3, 4, and 8 (exercise 1 only) for more practice on exponents, domain and composition of functions.


Week 2


Mon Jan 22 Here are thumbnails of the Essential function sketches. The last several all a little faint. I will repost some day.

Finish Sec 3 problems if you have not done so.

Read Sec 4 again. View these helpful videos:

Solving exponential equations without and with logs

Examples of solving exponential equations

Example solving logarithmic equations

Another example solving logarithmic equations

Try to do these before lecture. Sec 4, p 43 #1-5, 8 b e f g, 10 a c e f, 11 e f h, 12, 14 b, 17 a, 20 d e, 21 b d f

Tues Jan 23 The main skills needed are solving for the variable (say, t) when it is in an exponent. All attendant properties of exps and logs that are needed.

Read Sec 5 Compound Interest

View Where does e come from?

Understanding the number e (exponential growth).

Compound interest, present and future value problems

Wed-Thurs Jan 24-25 Do Sec 5 problems p 57 #1-7 ONLY!

Here's a Summary of log and exp properties, the new handout

And here is the summary of Sec 5, today's Lecture on compound interest

Fri/weekend Jan 26-28 8-O Study for Quiz 1. See Summary Sections 1-5

Read Sec 6. View the following intro video on limits.

Basic ideas of limits

Then go to Videos to view first 6 Limits videos.

After looking at the videos and the examples in the reading, do p. 67 #1-12, #16-30 even.


Week 3


Heads up: Our first exam is Wednesday Feb 7. It covers Sec 1-9.

New HW:

Mon Jan 30 Finish Sec 6, p 67 problems. (HW Solutions are posted.)

Read Sec 7. Go to Derviatives section of Videos, read my intro there and watch the videos under the first section, Instantaneous rate of change of a function at point via the difference quotient (DQ)

Tues Jan 30 Do Sec 7 p 72 #1, 2, 3 a-d

Read Sec 8 and view Finding equation of tangent line to the curve

Also, check out the

Sec 8 p 78 #1, 2, 3, 4 using the derivative formulas

Wed-Thurs Jan 31-Feb 1 Read "The derivative function and marginal analysis (of cost, revenue and profit)"

Read Sec 9. View all three Videos on Continuity

8-O Short quiz on Friday on Limits!

Fri-Sun Feb 2-4 Do Sec 9 pp 84-85 #1 a-e, 2 a-d, 4, 5, 6

Study only to end of p. 207 "The derivative function and marginal analysis (of cost, revenue and profit)". This is a reading from an alternate text.


Week 4


Mon-Tues Feb 5-6 Study for Exam 1, Sections 1-9.

FOCUS PROBLEMS:

Besides HW problems, these, which will put you in a good place for the next unit as well. We can't test everything on every test, but eventually you see something from all the concepts and skills. See SUPPLEMENTAL MATERIALS for worksheets named below:


Sec 1-3. Domain, C, R, P linear functions, interval notation

Supplemental Worksheet 2 Exercise 3

Supplemental Worksheet 1, Exercises 1, 2, 3

Supplemental Worksheet 4, Exercise 1c, d, f, 2a-f

p. 28 #4 a-g, #6-14

Sec 4. Logs and exps

p. 43 #4, 58 e, f, g

Sec 5. Compound interest formulas; approx value of e

Supplemental Worksheet 7 Exercises 1, 2, D1-D4, D6, D7

Sec 6. Limits: In the reading Examples 6.2, 6.3, 6.4, theorem on p 63 on properties of limits; Examples 6.8, 6.9, 6.12, 6.13

Supplemental Worksheet 10/11 Exercises 1, 2, 4, 5

Sec 7 and 8: Derivative (Slope of tangent to a curve)

Supplemental Worksheet 13, Exercise 21, 3a, 3b

Supplemental Worksheet 8 Exercises 4d, 4

Topics: domain of a function (use interval notation); limits; continuity; linear cost, revenue, profit problem; compound interest problem; find derivative using limit of DQ process; find equation of line tangent to function at given point.


Wed-Thurs Feb 7-8 Read Sec 10 and view relevant videos.

Read again Sec 10 (product, quotient, and exponential rules).

Read Sec 11 (chain rule).

Fri-Sun Feb 9-11 Do Derivative extra practice. #18 and #20 on this sheet might bother you a little.

Refer to the Essential formulas handout and the videos:

Product rule examples

Quotient rule examples

You should be able to start problems in Sec 10: #1-6, 8-10, 11, 12, 13


WEEK 5


Mon Feb 12 Do Sec 10 problems #1-6, 8-10, 11-13

Read Sec 11, Chain Rule.

For help, go to the Videos link and scroll down to :-D for videos of clear, intermediate level examples.

See the Essential formulas handout

Tues Feb 13 8-O I drew on these videos for my worked applications today of Marginal cost, revenue, profit: Ex 1

and Ex 2

Sec 11 problems on chain rule: #1, 2 b c f g l m, 3 a-d, f l m n, 4 a, 6

Handout given in class today (Cost Revenue Profit analysis), to be collected Friday.

Read Sec. 12.

Wed-Thurs Feb 14-15 Study problems in Sec 10 and 11, for Friday quiz on derivative rules and chain rule. Good questions to study are those on Derivative extra practice, though it lacks practice of log function differentiation and chain rule.

Fri-Sun Feb 16-18 Read Sec 12 and Sec 13.

Do Sec 12 problems on d/dx notation: p 107 #2, 4, 5.

See my synopsis of Implicit Differentiation (ID) on the video page and watch the video there.


WEEK 6


Mon Feb 19 Do Sec 13 #1, 2, 3, 4, 8. Solutions posted simultaneous to assignment.

View related rate videos (but first and then after, read my synopsis on Video page):

Related rates 1: Area of circle and changing radius rate

Related rates 2: Area of triangle and changing side length rate

Related rates 3: Ladder sliding down the wall problem

Read corresponding section, Sec 14.

Tues Feb 20 Do Sec 14 pp 121-122 #1, 2, 4, 5, 6, 9, 12, 14

people/mckenzie/math_220_hw.txt · Last modified: 2018/02/16 20:08 by mckenzie