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Section 1, 2, 3 of text

Wed Aug 23 Read Sec 1 and Sec 2; do problems Sec 1, pp 5: 1, 2, 7, 8;

Fri Aug 25 Read Sec2; do problems Sec 2, pp 15-16: 1-13

View Break even problem 1, Break even problem 2 Use derivative to find eqn of tangent line Ex 1 and Ex 2

Mon Aug 28 Quiz on Sec 1, 2 will be Tuesday. Read Sec 3 and Sec 4; do problems Sec 3, pp 26-27

Wed Aug 30 Read Sec 4 again. Some helpful videos.

Solving exponential equations without and with logs

3 examples of solving exponential equations

Example solving logarithmic equations

Another example solving logarithmic equations

Do Problems pp 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

Tue Sep 05 Read Chapter 5 and view comprehensive video lecture on compound interest problems:

Compound interest problems

The value of a loan or investment over time can be given by P(t) or A(t). Both stress functionality with respect to time.

Do Chapter 5 p 56 #1-7

An interesting video is Understanding the number e (exponential growth).

Wed Sep 06 Read Sec 6 Limits and go to math220_videos to view the video on limits.

After looking over Today's notes and rereading Chapter 6, do Problems Chapter 6 p 66 #1-12 all and #16-30 even. These videos are helpful.

Basic ideas of limits

Finding limits from a graph

Evaluate limits using properties, Ex 1 and Ex 2

More techniques for evaluating limits, Ex 1, Ex 2, Ex 3

Infinite limits in which a function goes to positive infinity or negative infinity as x approaches a.

Mon Sep 11 Read Chapter 7 and Chapter 8. Go to math220_videos and view all for this section. Many examples fully worked. Do Sec 7 pp72 #1, 2, 3; and Chapter 8, pp78 #1, 2, 3, 4

Fri Sep 15 Here is a very good reading material for understanding marginal analysis in business and economics. marginal_analysis_from_alternate_text.pdf. Read this chapter from an alternate text.

Read Chapter 9. View all three math220_videos on continuity. Do Chapter 9 pp 84-85 #1 a-e, 2 a-d, 4, 5, 6

Read Sec 10. Do pp 92 #1-6, #8-10

Mon Sep 25 Read Sec 11; do pp 97-98 #1, 2 b c f g l m, 3 a-d, f l m, n, #4 a, #6, pp 98-99 #7, 13 c e f g h j m (This set of homework is due next Tuesday.)

Mon Oct 02 Do problems in Sec 12 p 107 #2, 4, 5

Read Sec 13. Do Sec 13 #1, 2, 3, 4, 8

Read Sec 14 (related rates) and view the related rate videos (read my synopsis on the Video page).

Related rates 1: Area of circle and changing radius rate

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

Fri Oct 06 Exam 2 is scheduled on Oct 25th. Contains Chapter 12-22.

Related rates 3: Ladder sliding down the wall problem

Read Sec 14 again and videos again. Add Cost and profit with respect to time

Do pp 121-122 #1, 2, 4, 5, 6, 9, 12, 14

Read Sec 15.

View:Finding critical numbers of a fcn

Do pp 129-130 #2, 4 a-i

Tue Oct 10 Read Sec 16 and view short videos on these theorems (not included on test but need to start them to be on schedule, since we have an extra day before the test than two other sections).

Intermediate value thm

Rolle's and mean value thms

Do p 136 #1, 2

Also, try this Implicit and critical number practice quiz.

Oct 13-17 Read Sec 17 and 18, and Kathy's notes:

A summary of 1st and 2nd derivative tests, extremes, inflection, and concavity---with paradigm examples

Do Sec 17, p 141 #1, #2a-m

Read over this Notes on First and Second Derivative Tests

Read Sec 18; get to work on Sec 18 pp 148-149 (Do #3 before #2) #1, 3 a-e, 2 a, b, e, f, h

Read Secs 19-21.

Mon Oct 23

View Sketching rational functions and Sketching another rational function

Read Sketching rational function notes

Read some of Kathy's older notes on Curve-sketching book examples

and More curve-sketching book examples (These contain some Sec 18 HW problems, so see the solutions link, too)

View Sketching a polynomial with FDT and SDT and Sketching a more involved rational function with FDT and SDT

Sec 19-22 HW cover the skills we have now discussed fully.

For example: Limits at infinity, which relate to horizontal asymptotes (including "tricks" at 6:16) and Detailed examples of first and second derivative for graphing a function

Do Sec 19 #1 a, b, c, #2 a, b

Do Sec 20 pp 167-168 #1 a, b, c, #3, #4 a-g, #5 c, d, e, f

Read How to find absolute extrema of a function on a closed interval

Tue Oct 24 Here's a supplementary worksheet for the Thms in Chapter 16.MVT,EVT,IVT and Rolles Thm Extra Worksheet

Wed Nov 1 Read Sec 23


Optimization problem (instructive)

The fence problem

The box problem

Do p 192 #2-5, 6, 9, 10, 12, 15, 16

Read Sec 24, Elasticity

Do p 199 #1-5. Read over Kathy's summary here. Summary of Elasticity

Mon Nov 6 Do p 199 #6-9

Prepare questions on any of the topics in the covered chapters.

Exam 3 is on Tues Nov 14. The test covers Sec 23-24, 27-29.

Here is an old quiz Kathy gave on the D test, all worked out. Write the question and try it on your own, comparing your answers to the one on the quiz key.

Quiz and solution on extremes in 3-space

Here are some partial differentiation practice and elasticity practice from Kathy:Partial differentiation practice

Elasticity problems and Elasticity solutions

Final Exam is scheduled on Monday, Dec 11, 8:00 - 10:00 in SW 331. Here is the link:

Fri Nov 10 Read Sec 26 (Functions of Two Variables) and Sec 27 (Partial Derivatives)

View Partial derivatives

Do Sec 26 p 212 #1-4, #6-8

Do Sec 27 p 212 #1 a-c, e, f, i

View Second order partial derivatives

Read Sec 29. View Optimization via Lagrange multiplier

Do problems p 233 #2 a b c e, 4, 6, 7

Here's Kathy's Notes and Detailed Example Sec 28 in which she explains why the criteria of the SDT using D(x,y) makes sense.


More examples local max, min and saddle point by analyzing D value

Local extremes and saddle points of multivariate function

Do p 226 #1 a-e,i #2

Mon Nov 13 Here's an extra problem set on Lagrange Multiplier.

Soln to Quiz 9 is here! Soln to Quiz 9

people/grads/fang/hwassignments.txt · Last modified: 2017/11/13 16:39 by fang