8/28/07

(B-D-F)

Tuesday

Preliminaries:

Syllabus; class expectations; classroom rules and protocol.Explanation for RO DP CN code language.

Homework concerns

Read and outline: RO

Do problems: DP

Class notes: CN

Style Points

Tardiness

After school sign in book

Lesson Unit/Topic

Why study calculus? What sets calculus apart from all other mathematics?

Page 13:The four representations of a concept will be honored all year: graphically; numerically( p.15 #5); verbally (example #4 on p.15);algebraically

What is a tabular function? See p.14

Discussion of Chapter 1 p3-11.Take excellent notes. (CN)

Chapter I: RO p.11-21 ONLY write down the important definitions in your note book  Read and assimilate the rest.

8/30/07

(B-D-F)

Thursday

Lesson Unit/Topic

Homework concerns

 1.1 Functions and Models:

Discussion on increasing and decreasing functions;domain and range of a function and function notation.

DP: On p.22, DP #1,2,5,7,19,23,27,33,34,37,40.

Remember Style Points count:                                               Hand-In: p.23 #21,22,28,29

9/4/07

(B-D-F)

Tuesday

Lesson Unit/Topic

Homework concerns

Section 2.2-2.3 Limit theory

Pass in  HW: DP p.35-36  #2, 11,  p.46 #3,4 6; p. 46-48  #35,45,50,53.Quiz on Thursday on limits section 2.2-2.3

9/6/07

(B-D-F)

Quiz on limitsLesson Unit/Topic

p.49-53 must be read in class and discussed in detail along with section 2.1:tangent and area problem

2.1 Limits and derivatives

RO section 2.1 area and tangent problem

 DP p.97 #1,5 in notebookHand In p.98 #2,#6

Do Page  54 problems number 17-19 in your notebook.Read and outline RO 1.5 Exponential functions and p.421-426 and p.460-462

9/10/07

(B-D-F)

Lesson Unit/Topic

Squeeze theorem and rest of section 2.3 not covered on the quiz last Thursday

    Two Hand In assignments: Make sure you label your work and use Style Points:

2.2 Limit of a function::DP p.106 #3,5,23 Hand In : p.106 #7

                              2.3:Limit Laws: RO p.108-114

                              2.3: Limit Laws DP p.115,#2, 8,9-22 odds,#25 Hand In p.115#28,10-22 evens

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9/12/07

(B-D-F)

Lesson Unit/Topic

• What are the three conditions of continuity and what are 3 types of discontinuity

2.4:Continuity RO p.117-119 Hand In : Name 3 types of discontinuities, define them and

                                                                                illustrate them using graph paper.

                              2.4: Continuity RO p119-123. DP p.126 #4 Hand In: p.127 25-28

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Lesson:

Discuss and illustrate the Intermediate Value Theorem.

Practice a myriad of limit problems

  2.4 : Intermediate Value Theorem RO p.124-126. DP p.126 #4,7,17-22 all,46,47.

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Lesson Unit/Topic

2.5 Limits involving infinity

Precise Definition of Limit and Bisection Method wiil be covered on the class after the test on Monday

2.5 Limits involving infinity RO p.128 -137   .2.5 Limits involving infinity DP p.137 #3,#11 ,15-32odds Hand In: p.138 16,18,20,22

Go over 2.6 It will be on the test Monday

Lesson Unit/Topic

• 2.6 Tangents, Velocities, and Other Rates of Change

• This will be on the test Monday

.2.6 Tangents, Velocities, and Other Rates of Change.RO p.140-145. Study for test on Monday on Chapter 1-2.6(Chapter 1 is review.Main Topics on test will be from Chapter 2.1-2.6)

Lesson Unit/Topic

 TEST ON CHAPTER 1-2.6

DP144 #5 Hand In P.146 #6,11. Use graph paper and label appropriately.Study Bisection Method Hand-out and visit the website given out in class for bisection method reference

Lesson Unit/Topic

• We will go over the Bisection Method handout and discuss the precise definition of a limit (All ECE test questions for Math 112 Q)

Review notes on Precise Definition of Limit and Bisection Method

This will be on the next test.

Derivative as  rate of change. Quiz on Tuesday on p.139-152 and topics from last test

2.7: Derivative as a rate of change  RO p.148-152

Study for quiz on Tuesday on test topics  and remember that test corrections are due on Thursday.

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Lesson Unit/Topic

Quiz on test topics plus study time to prepare test corrections for hand in on Thursday

  2.7: Derivative as a rate of change DP p.153 1,3,8,13-18 odds.Hand In p153 #7,#13-18even.Test corrections due on Thursday.SPC counts

Lesson Unit/Topic

Derivative as a function. Hand in Test corrections

READ SLOPE OF CURVE PACKET

2.8: Derivative as a Function RO p.155-159.. 2.8: Derivative as a Function RO p.159-165. DP p.165 #1, 19,21. Hand In p.166 # 24

Lesson Unit/Topic

• Continuation of derivative as a function. Review p.155-159 and p.159-165

Review class notes and study for an In class short quiz on slope packet next class.

2.8:  Take Home Quiz:

Date due October 15.Use example 1 on p.156 to answer and graph p.165 # 4-11 odds. USE GRAPH PAPER if necessary BE PRECISE. LABEL EVERYTHING

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Lesson Unit/Topic

How do the graphs of f and f' compare? What does each say about the other????

2.9: f and f’:RO p.168-171. Study carefully all of 3.1-3.5

 Take Home Quiz due next class!

In class quiz changed to October 23 Tuesday

Lesson Unit/

Topic :Prepare for ECE midterm that will include chapter 3.1-3.5

Start RO 3.1-3.5 Remember KEY POINTS on paper yet read every example and solution for full understanding!.

You are not responsible for any proofs of theorems.All of the following are practice problems for the midterm. Do them in  your notebook and KNOW that you will most definitely see these types of problems on the midterm.Follow the midterm guide I emailed you.

In notebookpractice: For Friday there is a big hand-in assignment so you have to spread the work out over the next 4 nights. See October 17th HW

p.175 Concept check

P,.191 3-23 odds Check your answers

p.198 3,5,7,10

p.210 #1 very important!!!!!!

p.218 1-10 odds

p.228 7-18 odds

Composites with chain rule: p.228#1-6 odd

Lesson Unit/Topic

No school for seniors but lots of homework

All derivative rules will be on the midterm including quotient rule, product rule and chain rule

3.1 Differentiation Rules  RO p.183-188

                               3.1: Differentiation Rules  RO p.188-190 DP p.191 19-24 odds

Hand In  DP p.190 #3-18 odds check answers

                                                                                                                               3.2: Product and Quotient Rules RO p.193-198

                               3.2: Product and Quotient Rules

 Hand in:DP p.198-199 3-20 odds and #29,31

     3.4: Derivatives of Trig Functions RO p.213 -217

                               3.4: Derivatives of Trig Functions

 Hand in  p.218 1-12 odds.                               

3.5: The Chain Rule  RO p.220-228  

HAnd In : p.228  #7-18 odds

Lesson Unit/Topic

• ECE Midterm =SHA quarter test for October 25th

Study for quiz on Monday October 29th

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.

Review for ECE midterm

Study all class notes and midterm review sheet

Lesson Unit/Topic

• ECE midterm

RO Implicit Differentiation3.6 and study for quiz. See October 19th HW for details

Lesson Unit/Topic

Quiz and implicit differentiation

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 3.6: Implicit Differentiation RO p.233-236. Make special note of class notes on the trick of knowing how and when to implicitly differentiate.

Lesson Unit/Topic

Discussion of quiz and implicit differentiation of inverse sin and inverse tangent functions

3.6: Implicit Differentiation RO p.237-238 Make sure you know how to find the derivative of the inverse sin and tangent function

In  notebook p. 238 3-11 odds; 29,31

Lesson Unit/Topic

• Wrap up of implicit differentiation Section 3.7  derivatives of log functions

.p.245 in notebook 2-8 odds and 27-35 odds

Lesson Unit/Topic

• Test on November 15

• start of logarithmic differentiation

test  on November 15th

 Do page 246 #32-36 in your notebook

Read  and outline 3.8

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Lesson Unit/Topic

• Finish  Chapter 3 topics for test on November 15th

Do page 252 #5,9,15,17 and p.246 #36 in NB

 review for test next class

.

 Use study guide, all class notes and HW problems to prepare for test

Lesson

Test in class on all of Chapter 3

4.1:Applications of Differentiation RO p.263-266.

Due November 27th

PASS IN QUIZ GRADE:DP p.266-267 #1,3,9

Discuss 4.1 Related rates

Hand out packets

Very important theory

Remember p.266-267  #1,3,9 as quiz grade due 11/27

GO OVER ALL PACKET RELATED RATES PROBLEMS

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Lesson Unit/Topic

Start 4.2 Max and minimum values,critical numbers Fermat's Theorem and CIT method

Review of Fab Five

4.2:  Max and Min values  DP Hand In AFTER Thanksgivng November 29th:

First RO 4.2 p.269-274

Hand In

p.274-275 p.274-275 #1-6 all and #24,26,32

.For Thanksgiving weekend: No HW

Lesson Unit/Topic

• 4.2-4.3 Hand out packets on MVT,I/D test,First derivative test,Concavity,Second derivative test,

4.2:  Max and Min values  Hand In November 29th:

Recall assignment given before Thanksgiving:

First RO 4.2 p.269-274

Hand In

p.274-275 p.274-275 #1-6 all and #24,26,32

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Lesson Unit/Topic

• 4.3 plus Lhopital's rule in 4.5 and the beginning of optimization in 4.6

4.3: Derivatives and Shapes of Curves RO  p.278-286 .  Take very careful notes.

      4.3: Derivatives and Shapes of Curves DP p.286-287 #3,4,5,6,7,19,29 Hand In: p.287 #8,#30 IN NOTEBOOK

.

Lesson Unit/Topic Review max and min packets

      4.6: Optimization Problems: RO p.306-311. Be sure you understand what the first derivative says. Hand In

              p.311 #5,#6

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Lesson Unit/Topic

Optimization theory based on the hand-outs for Max and Min theory

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 4.6: Optimization Problems DP p.311 3,9 

Lesson Unit/Topic

ECE topics matched with class notes

Web Quest:find a site address that deals with the calculus applications of growth and decay phenomena.

BRING #2 PENCILS FOR UCONN EVALUATION NEXT CLASS

Lesson Unit/Topic

Presentation of site addresses for growth and decay

IN CLASS UCONN EVALUATION 20 MINUTES

Web Quest: for optimization problems and applications of the Mean Value Theory

Lesson Unit/Topic

SNOW DAY... test moved to Monday! Adjustment per snow day email... check your email!!!

• Discussion and wrap up of all topics and test next class on Chapter 4

Study for test on Chapter four.Check your email for test adjustment!

Lesson Unit/Topic

Test on Chapter 4

No books allowed: open notebook class notes only allowed for this particular test.

Free night. Spend HW time in extra advent reflection and prayer time. What will you be giving Jesus for His birthday this year?

Lesson Unit/Topic

Test returned and corrections as Quiz due after Christmas , first class/

NOTE WELL: WEDNESDAY AND FRIDAY WILL BE DEDICATED TO THE LAST ECE TOPIC:GROWTH AND DECAY P.524-529 Do page 532 #2,3,9 before break

READ AND OUTLINE P.524-529 ECE EXAM TOPIC Must do p.532 2,3,9 before break

Lesson Unit: Wrap up of last ECE topic: WARNING : If for any reason you missed the past two classes you must independently educate yourself on this ECEand SHA exam topic!(p.524-529  and page 532 #2,3,9)

.Have a blessed Christmas. Remember Jesus and His love for you during  this special time of the year.

Lesson Unit/Topic

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Lesson Unit/Topic

Prepare for Final Exam

After your exam, go to web site http://apcalc06.blogspot.com/ and take

a look around and let me know what you think first class back after exams.

1/16/08

(B)

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

• Integration

• slope fields and anti-differentiation

Read and outline 4.9(I know....back-pedaling but for very good reasons)

Do p.330 exercise #5 and then try p.333 #13 and #14 on graph paper for pass in.

Also do p.332,#1,3,5

1/25/08

(B)

Lesson Unit/Topic

• Continuation of slope fields and anti-differentiation as well as Riemann sums, LRS, RRS, and MRS

Chapter 5.2 p. 354-364

READ EVERY LINE!!!!.Make sure you make notes in your notebook of the page and paragraphs that make no sense to you and ask next class!!

1/29/08

(D)

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?)

p.364#1 and #6 and use geometry to solve #31-32.

1/31/08

(F)

Lesson Unit/Topic

• What is the evaluation theorem and the accumulation function?

Read every line of Chapter 5.3 and make special note of the Net Change Theorem on p.371.

2/4/08

(B)

Lesson Unit/Topic

• Net change of position is called displacement for an object moving along a straight line with a specific velocity.

• positive velocity means movement to the right and negative velocity means movement to the left

• speed is the absolute value of velocity

• velocity is speed plus direction

Read and make note of p372 Number 2 and number 3. You are responsible for similar problems to example 7 and example 8

do p.374#1-9 odd,#19,#25.

2/6/08

(D; Paraliturgy)

Lesson Unit/Topic

• Fundamental Theorem of Calculus

• p.377-383

RO 5.4

DP p.383 1,5,#5-6 in notebook,7-9 all, #15(notice the trick you need to use for #15)

2/8/08

(F)

Lesson Unit/Topic

• Start review for test on 4.9 5.1-5.4 ,slope fields and anti-differentiation on Thursday February 14th

Go over all class notes and practice odd problems form 4.9-5.1-5.4 for the test. Collect your questions.

2/12/08

(B; Class Mtg)

Lesson Unit/Topic

• Practice for test next class:4.9-5.4

• Integration by parts was taught and explained

Study and practice for test on 5.1-5.4 including slope fields and antidifferentiation-4.10

2/14/08

(D)

Lesson Unit/Topic

• Test on 4.9,5.1-5.4

.Enjoy your break

2/25/08

(F)

Lesson Unit/Topic

• Review Integration by parts

5.6: Integration by Parts RO p.393-397 up to ex 6.

         5.6: Integration by Parts DP p.398 #1,2,8,9,18

2/27/08

(B; Noon)

Lesson Unit/Topic

• Area between curves

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 6.1:Area between Curves RO p.441-445.DP p.446 #1-7 odds Hand In : p.446 #2,#4

2/29/08

(D)

Lesson Unit/Topic

• Average value for a function

  6.4: Average Value for a Function.RO p. 467-469. DP p.469 1-12 odds Hand In p.469 #6

3/4/08

(F)

Lesson Unit/Topic

• Area between curves Section 6.1

.HW p. 446 # 1-4 all

3/6/08

(B)

Lesson Unit/Topic

• 6.2 Volumes of solids of revolution

.Read all of 6.2 and do p.449-455 exploration exercise:

Write out and draw each of Stewarts EIGHT examples and work out yourself the solutions. Then write in red what you may have left out and Stewart put in. This assignment is a take home quiz grade.

3/10/08

(D)

Lesson Unit/Topic

Take Home Quiz assignment due.

TAKE HOME TEST HANDOUT DUE TUESDAY

March 18th

• Volumes of solids that are not solids of revolution... rather solids with known cross sections. You will need to take notes on class from the APCD smartboard demo

.Read p.449 Do p.458 #32 for a quiz grade(volume of solid with a known cross section)

and p.457 ##1,3,!0,11

3/12/08

(F)

Lesson Unit/Topic

Volumes of solids that are:

right solids

right circular solids

NOT right solids (like the ham in the book or a loaf of bread)

Volumes of solids and wedges that have known cross sections (Think of the APCD computer program from class)

You need to master the analysis  of all four different types of solids to compute the volume of these solids. Try to master the conditions for each situation described to the left.

QUIZ QUESTION FOR PASS IN NEXT CLASS MArch 14th

1)When is a solid approximated by cross sections with constant area?

2) What is a limit of Riemann sums called?

3) p.457  #2and #4 draw pictures and show all your work. Make sure you draw a fully labeled representative slice.

3/14/08

(B)

Lesson Unit/Topic

• Quiz is due

Take Home test due March 18th Tuesday

Grades close for this class on Wednesday March 19th so make sure your test for this quarter is passed in tomorrow.

3/18/08

(D)

Lesson Unit/Topic

Take home test is due

• practice finding volumes of solids of revolution with known cross sections

Notes today on WORK:

p.471-479!!!

Work is scheduled for the ECE exam so come prepared to investigate this interesting application. Also, fourth quarter quiz grade: Quiz and test corrections due next class.

3/20/08

(F; Noon)

Lesson Unit/Topic

• Recap of volumes of solids of revolution with shells, disks and washers as well as finding volumes of solids with known cross sections

Happy Easter!

3/25/08

(B; Grades Close)

Lesson Unit/Topic

• .Drill work on Volumes of solids of revolution and the physics concept of Work in preparation for your 4th quarter test on both topics.

There will be a handout on WORK in class.

Review Work notes form class. Remember that Work =FxD when force is constant. You need integration for an accumulation of work for varia ble force. Read Stewart.

3/27/08

(D)

Lesson Unit/Topic

• Where does ln6 come from?

Work on April 4th two test grade take home that is due next week. STYLE POINTS COUNT!

Highlight Work Handouts for next class

3/31/08

(F)

Lesson Unit/Topic

Review Work packet that you highlighted last evening.

• Collection of test for quarter 4 will occur on April 4th

• Review of all main topics concerning Logarithms: do you recall how you can write ln6 as an accumulation function?

Review class notes on ln 6 and how to write lnx as an accumulation function.

Remember to meet me in the GYM on Wednesday at break with a copy of your email.

4/2/08

(B)

Lesson Unit/Topic:

GYM at break.

Final group work on test packet due on Friday.

Test practice for ECE

Prepare test for final submission due April 4th.Style points count

4/4/08

(D; First Friday)

Lesson Unit/Topic

• Test packet is due: Style points count

• Practice for ECE exam

Take the weekend off. You deserve it.

4/8/08

(F)

Lesson Unit/Topic

ECE problem practice for exam

Practice by solving the free response sheet. Allot 15 minutes per problem.

4/10/08

(B)

Lesson Unit/Topic

Major free response practice problems

Happy spring break!!!!!.

4/21/08

(D)

Lesson Unit/Topic

• Improper Integrals chapter 5.10 the last ECE topic!!!!!

• ECE exam is May 9TH

Do problems p.431 5,7,9,13 for pass in on Wednesday.

4/23/08

(F; Health Day)

Lesson Unit/Topic

• Review for ECE