8/28/07

(B-D-F)Tuesday B

Lesson Unit/Topic:

RO means "Read and Outline"

    DP means "Do problems"

       CN means "Review class notes"

• First day of class,August,2007  Summer Assignment  RO is due Assignment due first day of class in August 2007:Read 1.1-1.4 also read p.421-426,460-462, Sections 7.1,7.2,7.3 and p.467-468

   

   

Section 2.1: The tangent and velocity problems RO: p. 65-67

Make sure your notebook is organized and you review your style points criteria for all work submissions.

Pack a pile of black low odor expos for board work: NO EXCEPTIONS.

8/30/07

(B-D-F)

Thursday D

Lesson Unit/Topic

• Discussion of the tangent and velocity problems on page 65-67.New class notes on pages 65-69.After class notes are taken and discussion of above topics:

  In class activity:DP problem #1on p.69 for a pass in quiz grade due at end of class: Style Points count +or - 5 points

Chapter 2.1: Instantaneous Velocity:RO p.67-69. This is a definite AP   problem. Study CN on p. 65-69.   DP:answer # 5, 7, and 8 on page69

Have a great weekend!

If you go shopping, pick up red pens, low odor expos and graph paper. 

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9/4/07

(B-D-F)

Tuesday F

Lesson:

First: Review p.69 5,7,8.

Second:The basis of all calculus: the Limit!!!!

Intense class notes and power point s as well as virtual calculus sites and interactive web sites will be explored to arrive at a sense of the serious theory of limits which pervades all of differential and integral calculus. Be ready to take excellent notes and engage in some serious explorations.If you are not a morning person, do something to ensure your complete and utter brain preparation.(Extra sleep Monday night?)

.Bring in red pen for next class and every class hereafter.Bring in sheets of graph paper for next class.

Section 2.2 : The Limit of a Function: RO p.70-79. BE CAREFUL. This theory is the basis of all Calculus. After CN on this section Hand in DP.  P.79 1-4 all.BE SURE TO DATE AND LIST THE SECTION AS THE LEAD TOPIC FOR THE THREE COMPONENTS: Limit of a function: Section 2.2. and write p.79 #1-4 SPC

Quiz on limits next class. Remember precalc end behavior rules with infinite limits.

9/6/07

(B-D-F)

Thursday B

Quiz next class on everything up to but not  including Limit Laws

Lesson Unit/Topic

Review p.79 1-4 all (red ink corrections )pass in for quiz grade.

Start investigating the ever so useful Limit Laws on p.82-89

2.3: Calculating Limits Using Limit Laws: RO p.82-89 . DP p. 89 #1-30 odds and #34 and #55. Hand In p.90 #15,18,20

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9/10/07

(B-D-F)

Monday D

Lesson Unit/Topic

Review p. 89 #1-30 odds and #34-55 as well as red pen check and hand in of p.90 15,18,20 the first 45 minutes. Discuss infinite limits and start Continuity theory

2.4: Infinite Limits: RO p.99-108.DP p.110 1-3 all.   

      2.5: RO p. 109 (The Intermediate Value Theorem) all the way up to P.119. 

             Hand In DP p.111  #45-48 odds.

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9/12/07

(B-D-F)

WednesdayF

Lesson Unit/Topic

• Review p.110 1-3 all. Explore the wonders of the Intermediate Theorem on p.109 Finish continuity

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        2.5:  Continuity: Hand In DP: p.111  #1-6 all; #9,#12

 ECDE EXAM :Go over web site on continuity and Bisection method for finding roots

Also READ how to find the limit using the PRECISE DEFINITION OF LIMIT= ECE EXAM Question

This is on page 92-99.

Friday B

Lesson Unit/Topic

Bisection Method of finding roots

Precise definition of a limit

tangents velocities and other rates of change

Review of:

• Continuity: Three step criteria paralleled with St Thomas Acquinas' 3 step determination of what constitutes a moral human act. (Not kidding... there is a cross-reference real life parallel.)

.Hand In: p101 number 15-18 all SPC and p.119 #7,8,10 for a quiz grade

Make sure you read Stewart's explanation of what makes a function continuous in 2.5 Besides the Hand In quiz for next class from above use tonight for catch-up study and concept check

Tuesday D

Lesson Unit/Topic: Test date #1

Monday Sept 24th. In class today, massive board practice : intense board review and problem practice.

NEW INSRTUCTIONS

Pretest book problems for review and hand-in grade:+5 on test #1 grade.Assignment is due the class before the test for discussion and on my desk the day of the test for grading.

 Pretest work problems

These are for your benefit so to get the +5 you need to do out every odd problem, check the answer correct everything and pass in all your work.

Style Points count:

 Chapter 1 and Chapter 2.1-2.6:Practice Problems due the class before the test:p.111 #9;p.112 45;p.112 #41;p.121 #1-7 odd; p.122 True-False: 1-14 odds and on bottom of page #1-7 odds Also,p.261 9-32 odds. p.123 #31;p.123 #21;p.120 #17

2.6 Tangents, velocities and rates of change  DP p.119 1-21 odds

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Thursday F

Lesson Unit/Topic

• Pretest red pen check-up and ECE core question practice problems including transcendental functions.

Study for test on Monday Chapter 1 and Chapter 2.1-2.6 including precise definition of limit and bisection method

Monday B

Lesson Unit/Topic

In class test on all work from 8/ 27-9/20

RO 3.1

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Wednesday D

3.1-3.2 introduction

2.6 Tangents, velocities and rates of change :

In class in groups  HAND IN DP:p.121 #2,#5,#7,#8, #26,#27,#36. Everyone must hand in their own paper

Hand in due:next class(time for you to write up your collaborations from class)

Remeber all style points count all year: + or -5

Take home Quiz Due:Thursday October 4th

Hand in problems due for red pen check-up next class

Make sure all the questions below are addressed:

WRITING MATHEMATICS:_______________________

Goal for above assignment: Learning how to write out explanations for :

                               a) Describe several ways a limit fails to exist.

                               b)What does the Squeeze Theorem say?

                               c) What does the Intermediate Value Theorem say?

                               d)Write expressions for tangent lines using slope-point formula and    the concept of the slope as the rate of change.

                               e) Is there a way to write how a function is continuous using limit  notation only? 

Friday F

Lesson Unit/Topic

In class:

 Check up Hand in Problems with red pen check-up:HAND IN DP:p.121 #2,#5,#7,#8, #26,#27,#36.

DERIVATIVES AND RATES OF CHANGE!!!!!!

Section 3.1-3.2

    3.1 : Derivatives  Take Home Test: Hand in RO for Chapter 3.1 according to the following questions. Copy and paste two copies of the following. Staple one in your notebook for the RO component for Chapter 3.1 and pass the other copy in for a take-home test grade.

Do not wait to do this the night before because you will have other homework due on October 9th from class on October 4th 

 Take Home Test:

 Due:Tuesday October 9th

WRITING ABOUT MATHEMATICS 3.1

You must find the answers from the text in the book and quote the exact answer. Then follow up with an explanation in your own words. Style points count most heavily in this assignment. This is a first quarter second test grade that will seriously impact your first quarter grades.

Date Due:_________________________             Name:_______________

Answer the following 17 questions in complete sentences:

                                  1) What is the study of differential calculus concerned with?

                                  2) What is the central concept of differential calculus?

                                  3) Once you master how to calculate derivatives, how can you use them?

                                  4) Define the analytical representation of a derivative of a function f at a number “a”. Explain what each part of the definition means.

                                  5) Draw a Cartesian co-ordinate system  graph that is properly labeled and marked to showcase exactly what the geometric interpretation of a derivative means graphically. Justify your answer by explaining the details of your graph.

                                  6) How is the derivative interpreted as the slope of a tangent line? Explain.

                                  7) How is a derivative interpreted as a Rate of Change?

                                  8) What is instantaneous velocity?

                                  9)What happens to the y-values of a function when the derivative of a function is a large number?

                                  10) What happens to the y-values of a function when the derivative of a function is a small number?

                                  11) What happens if the theory of derivatives is applied to a particular function say s= f(t) called the position function which models the position  of a particle along a straight line at any time t. NOTE: We are simply APPLYING the derivative theory to a PARTICULAR function and asking: what does the derivative mean IN THIS CASE. If t=a, what exactly does f’(a) mean? Be specific and thorough in your explanation.

                                 12) What is the definition of speed of a particle?

                                 13) What is the difference between average rate of change and instantaneous rate of change, and rate of change? How does the derivative relate to these terms?

                                  14) Define a tabular function.

                                  15) List the two different ways you could use to estimate the derivative of a tabular function? Refer to p.118 Example 5 and p.131 ex 6. Discuss in detail exactly how each method could be used, given a tabular function. Make sure you emphasize the importance of the word “Estimation” versus “Actual” result.

                                  16) What are the units for an average rate of change defined by a change in x divided by a change in y?

                                  17) Who was the first person to formulate explicitly the ideas of limits and derivatives?

Lesson Unit/Topic: Derivatives as a function, graphical implications of derivatives and approximations of derivatives

• Sections 3.1 and 3.2 will be covered in class today. We have ECE responsibility to make up for college day October 17th

   3.1:Derivatives:DP p.132 # 1-33 odds and HAND-IN  # 34

   3.2: Derivative as a function:RO p.134-142 . Hand In: “How can a function fail to be differentiable? Draw graphs to explain your answer.”

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Lesson Unit/Topic

Homework red pen review of p.132 1-33 odds and #34 plus collection of 3.2 Hand in

VERY IMPORTANT CLASS NOTES

• Derivative Laws and rules for polynomials and transcendental functions including the inverse trig functions.

• The graphs of f versus f'

3.2:The graphs of f and f’ :Study p.134 Example #1 very carefully then do  DP p.142   # 1,3,5,6,7,13,14 HANDIN:p.143 #2,#15.

Writing Test is due Tuesday

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Lesson Unit/Topic

• Start 3.3-3.6 All these sections will be on the ECE midterm

Start RO on 3.3-3.6 which will be on the ECE midterm.Remember to ONLY write down KEY POINTS but still read every word.

Lesson Unit/Topic

Work on 3.3-3.6 all the way to page 181

  3.3: Differentiation formulae HAND IN DP p.154-155 #1-42 odds, #44

3.5  RO p.169-174.Pay particular attention to #3 on p.173.

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Lesson Unit/Topic

• Work on differentiation formulae and Chain Rule

.In the next few days, watch your email for a study guide topic list for the ECE exam. Right now, concentrate on class notes and conceptual understanding

Study Problem #3 on p. 173.DP p.174 1-16 odds check answers in back of book.

 HAND IN:p.174 #2,12,16,21,35-42 evens

              DP p.181 # 1-42 evens

I will use this assignment as a HW grade for quarter 2 

Lesson Unit/Topic

• no school for seniors

.Study for midterm on Thursday October 25th. Keep an eye out on your email for a study guide topic list.Go over all class notes

3.5  Derivatives of Trigonometric Functions: RO p.169-174.Pay particular attention to #3 on p.173.

3.5: Derivatives of Trigonometric Functions: Study Problem #3 on p. 173.DP p.174 1-16 odds. HAND IN:p.174 #2,12,16,21,35-42 evens

3

Corrections of all evens for in-class knowledge

Lesson Unit/Topic

• Midterm ECE (quarter 2 test for SHA)topics will be discussed an practiced

Quiz on October 29th Monday will be on:Know what makes a function not differentiable. Know how to graph f' from a given graph and equation for f.

Know how to calculate approximations for dx/dt given an (x,t) graph and how to graph the results,

Know the derivative of any quadratic function,

Know all the derivative short cut laws.

  3.6: The Chain Rule: RO p.175 -181.Pay attention to the mechanical reasoning behind this Rule.

Mandatory:

Plus 5 on Midterm test grade for following work handed in on October 25th

Hand In and show all corrections

 DP p.181 # 1-42 odds.Show all work

Practice for midterm

Study all class notes and practice problems from stewart's book and the study guide.

Lesson Unit/Topic

Hand in +5 work

• ECE Midterm: follow the study guide for a general overview of the test outline.

.Quiz on Monday on:

Know what makes a function not differentiable. Know how to graph f' from a given graph and equation for f.

Know how to calculate approximations for dx/dt given an (x,t) graph and how to graph the results,

Know the derivative of any quadratic function,

Know all the derivative short cut laws.

Homework in notebook: RO 3.6-3.7.

Lesson Unit/Topic

Short quiz in class

Discussion of implicit differentiation and related rates,

 In Notebook:

 3.7: Implicit Differentiation  RO p.184-188. DP p.188-189 5-20 odds.Check your answers

  3.8: Higher Derivatives: RO p.190-195. DP p195 1-20 odd Check all your answers

Lesson Unit/Topic

More implicit differentiation and

Related Rates!

Study class notes on related rates

In notebook:

  3.8: Related Rates

RO p.198-202.

In Notebook:

DP p.202 # 1-6

and

 p.188 6,12,14,and p.190 # 53 Check all odds

Lesson Unit/Topic

related rates theory and the completion of implicit differentiation

revisit 10/31 homework on related rates_______________________

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Lesson Unit/Topic

• related rates

3.9    Related Rates 10 Problems: Take Home Test:  DP p.203 8-23 odds, #36 and #38.

Due date:_November_13__TBA________________

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Lesson Unit/Topic

applications of differentiation

Chapter 3: Study for Test on November 19th on implicit differentiation and related rates and higher derivatives

Writing About Mathematics:

Take Home test Due November 27th

           Applications of Differentiation

Type all answers in complete sentences.Copy and paste all test questions and put your answer AND PAGE NUMBER WHERE THE ANSWER CAME FROM. Be sure to quote Stewart when you find the exact answer in the book.

1) In your own words, how do derivatives affect the shape of a graph of a function?

2) How do derivatives help us locate the maximum and minimum values of a function?

3) What is an optimization problem?

4) What is an absolute maximum for a function and what is an alternative name for it?

5) Can there be an absolute maximum or absolute minimum  at a point of discontinuity?

Justify your answer.

6) If you are asked to find the extreme values for a function, what are you really being asked to do?

7) True or false: local max’s and min’s need to originate from open intervals.

8) What is the difference between a local maximum value for a function and an absolute value for a function?

9) Answer #8 for absolute minimums and absolute maximums.

10) State the Extreme Value Theorem formally and then in your own words.

11) Can you apply the Extreme Value Theorem on a function that has only continuity on an open interval?Give an example to support your answer.

12) Sketch the graph of a function on [-1,2] that is discontinuous but has both an absolute maximum and an absolute minimum.

13) True or false:The Extreme Value Theorem tells us how to find the extremum for a function.

14) When would an absolute maximum not be a local maximum?

15) True or false: All functions have extreme values.

16) State Fermat’s Theorem

17) Give an example from Honors PreCalc library of functions of a function that has 

        f’(0)=0 BUT the function has no max or min value at x=0.

18) True or false: Can you find extreme values simply by setting f’(x)=0 and solving for x?

19) What is a critical number?

20) If you have a continuous function on a closed interval, where are the only two places an absolute max or absolute min can occur?

21) State the Closed Interval Method

22) Study example 8 on page 228 and then do problem #46 on page 231

End of Test

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Lesson Unit/Topic

• start 4.1

• Maximum and minimum

 Applications of Differentiation .Section 4.1 RO p.223-229

Lesson Unit/Topic

• The Mean Value Theorem

• Give out packets on critical numbers and concavity

4.1.Maximum and Minimum Values DP p.229, #1-6 all, #31-43 odds;47-53 odd

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Lesson Unit/Topic

4.2-4.3 continuation

Pass out of D&S Workbooks.You will need this book to prepare for ECE and SHA midterm

4.2  How Derivatives Affect the Shape of Graphs?    RO p.240- 247  HAND IN QUIZ: p.247 1-18 odds

Start looking at the topics in D&S gray book and trying problems on topics we have already covered.

Lesson Unit/Topic

• Mean Value Theorem analytically and graphically and how MVT is applied to describe increasing and decreasing  functions.

4.2  The Mean Value Theorem  RO p.234-238.

Hand In: Due Date_November 29th. This will be on the 11/29th test________________

A)Write out the Mean Value Theorem and explain it in your own words.

B)Where is the limit notation?

C)How does the MVT relate average rate of change with instantaneous rate of change? 

D)  Do problem #11-14 all on p.239

Lesson Unit/Topic

Review  for test November 29th

study for test on November 29th

Lesson Unit/Topic

Test

Make sure you RO chapter 4.3

4.2  How Derivatives Affect the Shape of Graphs?    RO p.240- 247  HAND IN QUIZ: p.247 1-18 odds

Lesson Unit/Topic

• Limits at infinity

Limits at infinity:RO p.249-257 and skip to p.260. Make sure you know L’Hopital’s rule.Hand In Quiz:DP #9-32 odds on p.261

Lesson Unit/Topic

• Review of 4.5-4.6 and the beginning of 4.7

4.5-4.6 Graphing with Calculus and Calculators.Read study and review (RO) p.263-p.276 for a good prep for no-calculator section of AP exam. Practice on p.277 1-8 odds in your notebook and correct.

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Lesson Unit/Topic

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4.7:  Optimization Problems:Have p.278- 283 outlined and redo in your notebook the procedures of examples 1-5 on p.278-283. Make sure you can do each TYPE of problem.Hand-in: p.285#36

DP: P.283 1-5 odds Remember: You are responsible for Example 1-5 on

  p.278-283.

Lesson Unit/Topic

• Chapter 4 test next class

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4.8  Derivative Applications to Business and Economics RO p.289-292. Hand in AFTER correcting  p. 293 1,5,19,20 Test on chapter 4

Lesson Unit/Topic

• Chapter 4 test changed to Monday

.

TAke ECE Core Topics Sheet and start organizing your study sheets. Take the gray books from D&S and match the ECE topics with the index in the back of the book....write down all the problem numbers that match the topics and make sure you do all of them from the gray book to prepare for both the ECE and the SHA midterm

Lesson Unit/Topic

Test Today changed from Thursday

Over break:

TAke ECE Core Topics Sheet and start organizing your study sheets. Take the gray books from D&S and match the ECE topics with the index in the back of the book....write down all the problem numbers that match the topics and make sure you do all of them from the gray book to prepare for both the ECE and the SHA midterm.

For Wednesday:last ECE topic

a) Make sure you read page 647-653 and RO all important points.

b)Look up as a webquest  the application of calculus to growth and decay phenomena .

Bring web site addresses.Write down on a data sheet the site addresses only for pass-in.

Lesson Unit/Topic:

In class : LAST ECE topic: growth and decay problems. Before break we must completep.647-653 and problems #3 and #9 for pass-in.

If time permits:

a)Practice optimization problems,related rates  and the Mean Value Theorem.

b)In class presentations (simple show and tell)of webquests on growth and decay phenomena

If not finished in class: homework is page 647-653 and on page 656 #3 and # 9 must be done for red pen checkup and homework grade.

Look up as a webquest a site on optimization problems and present next class.(Simple show and tell)Have sheets of site addresses ready to pass in.

Lesson Unit/Topic

Presentation of optimization applications and wrap up class work on HW assignment on growth and decay if not finished from Wednesday.

Merry Christmas....happy and holy!!!!.

Lesson Unit/Topic

Exam topics review

Study for ECE exam January 8th.Use UCONN hand-out for topic review and make sure you practice every topic.

Lesson Unit/Topic

Exam for ECE

Prepare for Final Exam for SHA Use all problems in gray book for practice and all class notes as well as old tests and quizzes.Go to web site  http://apcalc06.blogspot.com/

and take a look around . Let me know next class what you think.

1/16/08

(B)

Lesson Unit/Topic

• exams

Assignment

1/18/08

(D)

Lesson Unit/Topic

Comprehensive sweep of topics starting with the  I/D test, Closed Interval Method, Concavity, relative max and min of functions and the innate danger of inadvertently using algebraic rules and ruining your answers to calculus based questions concerning relative extrema. Sign box methods were reviewed as well as the proper verbal representation of sign box results.

Read and outline chapter 5.1.

1/23/08

(F;1:10)

Lesson Unit/Topic

• Antiderivatie and slope fields as well as the beginning of Riemann Sums

.RO 4.10 and p.300-305

In your notebook for check-up:

 Do p.305 1-9 odd

#17-24 odds amd p.306 #52 on graph paper and p.324 #1

1/25/08

(B)

Lesson Unit/Topic

• Continuation of 5.1-5.2

In your notebook for checkup

5.1  The Distance Problem RO p.322-324. DP p.325 11,13,17,#22 part a and #23 part a

P.324 #2,#3 #15,#16 AND every slope field problem in the gray workbook!.

1/29/08     Continuation of slope fields and anti-differentiation as well as Riemann sums, LRS, RRS, and MRS

(D)

Chapter 5.2 p. 326-336

READ EVERY LINE!!!!Do page p.336 35,37,39 all in your notebook.Do the worksheet on slope fields first then prepare your slope field sheet for hand-in.Make sure you make notes in your notebook of any questions you may have and ask next class!!

1/31/08

(F)

Lesson Unit/Topic

• Definite Integrals are numbers

  Indefinite integrals are families of functions!

  Evaluating definite integrals with Riemann Sums

  Approximations to an integral is best found by using the sample point to be the midpoint of the interval : Use the Midpoint Rule also called MRS

  Every Riemann sum is an approximation to an integral. Only a limit can provide a precise answer.(Do you remember the difference between the average rate of change and the rate of change?)

5.2  The Definite Integral  RO p.326- 332. Hand-In:What is the difference between the area under a curve and the net area?

5.2The Midpoint Rule:RO p.332-336. HAND IN:DP 336 1,3,5,7

You  must read 5.3 before Monday

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2/4/08

(B)

Lesson Unit: FTC!!!!!

The evaluation theorem and the accumulation function of the FTC: the backbone of integration theory

Study for 20 minute quiz at end of class on Wednesday: Topics to be announced in class Monday

FIRST:

5.2 Geometric Interpretation of an Integral  DP p.338 35-49 odds, 55-60 odds.

SECOND:Outline 5.3 What is the area under a velocity curve called? interpret the area under a velocity curve using the FTC

Do p348 #10,11 Pass in for HW grade

2/6/08

(D; Paraliturgy)

Lesson Unit/Topic

If f is not a positive function the Riemann sum does not represent a sum of area of rectangles. The integral can not be interpreted as an area IF function f takes on both positive and negative values.

In class we discussed particle motion along a straight line and displacement and total distance traveled using integrals.

Handouts on concavity and the trapezoidal rule were given out.

A quiz and extra credit problem were administered at the end of the class,

A)Carefully study all the properties of integrals starting on p.333.

B)Read and outline 5.4

What is the integral interpretation for total distance traveled and dsplacement?

C) Do p.356-357 ,17-25 odd 45-48 for hand-in

D)Also, highlight the concavity packet, look up the trapezoidal rule in Stewart and work his examples for practice before Friday

2/8/08

(F)

Lesson Unit/Topic

Test on February 14th on 4.10 and 5.1-5.4

Fundamental Theorem of Calculus: The Evaluation and the "Area So Far" function as well as Trapezoidal Rule and U substitution will be discussed. Make sure your notes have the issue with limits of integration value changes due to U-substitution!

Read and outline 5.5 U substitution(when do you change the limits of integration?) and make sure you work Stewart's examples.Test Thursday on 4.10- 5.1-5.5(all of chapter5 and 4.10))

HOMEWORK:

5.1  The Substitution Rule RO 5.5.DP p.365 1-6 all. Also on p.357 If we did not do these in class try#43, 45, 47,49,51,53. Otherwise review your notes.

5.5 Integrals of Symmetric Functions Quiz: Theorem 6 and do  p.366   #46, 57  These two problems count as a  quiz grade.MARK THE TOP OF YOUR ASSIGNMENT"QUIZ" BEFORE PASSING IT IN

2/12/08

(B; Class Mtg)

Lesson Unit/Topic

• Review for test on Feb 14th AFTER discussion of Chapter 6 and are between curves and volumes of solid of revolution.

Study for test.(4.10-5.5)

2/14/08

(D)

Lesson Unit/Topic

• Test on 4.10-5.5

.Enjoy your break.If you have time: study volumes of solid of revolution and the start of chapter 6 and try some of the gray book problems everyday. You will be so glad you did.(30-45 minutes per day)

2/25/08

(F)

Lesson Unit/Topic

TRIG SUBSTITUTION(know all three cases and all three substitutions) AND PARTIAL FRACTION DECOMPOSITION(be sure you can do the cases including quadratics in the denominator and at least be able to set up the more complicatede ones)

• Test return (corrections for quiz grade due March 4th)

• Chapter 6 Areas between curves and the volumes of solid of revolution.

Review your class notes on Trig Substitution and Partial Fractions. RO all notes form both topics

FOR FRIDAY:6.1 Applications of Integration.RO p.375-380. The problem on p.380 was on the AP exam 2 years ago. PASS IN HW: DP p.380 1-4 all.

2/27/08

(B; Noon)

Lesson Unit/Topic

• Volumes of solids and area between curves as well as average value for a function

.Hand in p.380 1-4 all on Friday with the answer to this question:

What is the difference between a right circular cylinder solid and a right cylinder solid?

6.1-6.2: RO p.375-390 DO THIS HW FOR THE NEXT 4 HW evenings. Read and reread this material until it starts to make sense. Make sure you are very diligent about every sentence the author uses. For instance:A cylinder solid does not imply that the base HAS to be a circle. Only right circular cylinders have cylindrical bases. ALL A RIGHT CYLINDER SOLID NEEDS TO BE A RIGHT CYLINDER SOLID is to be a solid bounded by a plane region as a base and a CONGRUENT plane region in a parallel plane. That is why the big slabs of ham on p.383 are actually right cylindrical cross sections. And remember : B means the AREA of the base!!!! Whatever that base shape is!Mr Stewart needs to clarify p.384: “ Notice that….He should say ,  “Notice that for a RIGHT CIRCULAR CYLINDER, the cross-sectional areas are constant”

2/29/08

(D)

Lesson Unit/TopicReview of integration by parts and trig integrals

Problem set  for  Quiz grade due:March 4th

Please label each set separately and correct the odd problems.

8.1: Integration by Parts RO p.511-516. Hand In: p.516 #3,7,15,25

8.2-8.3 Trig Integrals Hand in:p.524 #1 only and p.530 #4,9,13

8.4-hand in p.540 #4(notice instructions carefully) and 8,1011,17,19

3/4/08

(F)

Lesson Unit/Topic

Hand in Quiz homework