Calculus
-- Mr.
Tumolo
CLASS EQUIPMENT
You need
to bring the following to class each day
v
Pencil, Textbook, your Graphing
Calculator,
and your Laptop Computer loaded with dyKnow
v
Notebook -- a
loose leaf binder is the most desirable type
CLASS PROCEDURES
v
Take responsibility for your work and your actions
v
Be thoughtful of your classmates
v
Respect all members of the class
v
Raise your hand to respond to questions
v
Have your equipment daily
You
cant borrow equipment for quizzes or tests-
(zero for that material)
HOW IS YOUR GRADE
DETERMINED?
v
Tests always announced, usually 3
or 4 days notice
v
Quizzes
there may be surprise
quizzes, prepare your work daily
v
Homework:
You are not allowed to to make up missed homework assignments
unless you are absent on the day that the assignment is due.
v
Class Work and Group Work
v
Notebook collected once a quarter
1.
Homework and Class notes should be in dated order and refer
to the
section of the text from which the material comes.
2.
Quizzes and Tests in dated order can be kept separately
3.
Technology section
4.
Other handouts
v
HOMEWORK WILL BE COLLECTED EACH DAY
(Hand
the assignment to me as you leave the room)
v
Computer Assignments
GRADING
SYSTEM
Global Goals -- Calculus
1.
Writes clear and concise solution to problems
2.
Uses calculus notation correctly and appropriately
3.
Distinguishes differential calculus problems from integral calculus
problems
4.
Uses calculator and computer technology effectively and appropriately
5.
Applies the ideas of calculus to new situations
6.
Promotes the general learning of the class
- Participates in class discussions
- Asks questions in class
- Answers questions in class
7.
Completes homework assignments on a daily basis
8.
Keeps a comprehensive notebook
Specific Course Goals
- Writes clear and concise solutions to problems using
the correct
mathematical notation (Evaluated on each test or quiz)
- Uses the skills from Pre-Calculus in a correct manner
(Evaluated
on each test or quiz)
·
Algebraic methods
·
Function notation
·
Graphs for the family of functions
·
Trigonometric concepts
- Knows the difference between average and instantaneous
rates
of change
- Uses the definition to find the derivative of
polynomial functions
- Uses the definition to find the derivative of rational
functions
- Knows and uses the derivative notations correctly
- Knows the derivative rules for a large variety of
functions
·
Polynomial
·
Trigonometric
·
Exponential
·
Logarithmic
- Applies the power rule correctly
- Applies the product rule correctly
- Applies the quotient rule correctly
- Applies the chain rule correctly
- Sets up max-min problems correctly
- Solves max-min problems correctly
- Knows the relationship among a function and its first
and
second derivatives
- Knows the relationship among the ideas of position,
velocity and acceleration
- Successfully calculates the second derivative for all
functions under study
- Successfully applies the second derivative to the
concept of concavity
- Successfully applies the second derivative to the
concept to inflection points
- Understands and uses the graphs of a function, its
first
and second derivatives correctly
- Writes the equation of an area function and connects
it
to the anti-derivative
- Evaluates anti-derivatives correctly using
·
polynomials
·
trigonometric functions
·
exponential functions
·
logarithmic functions
·
the chain rule ideas
- Successfully evaluates definite integrals
·
Manually
·
With the calculator
- Successfully uses the Fundamental Theorem of Calculus
- Successfully calculates areas
·
Bounded by the curve and the x-axis
·
Calculates net area
·
Calculates the total area
·
Bounded by two curves
- Successfully calculates volume
·
Rotation about the x-axis
·
Bounded by two curves (has a hole)
- Keeps a useful notebook. (See handout for
requirements)
Grade levels are:
·
Very Competent
·
Competent
·
Satisfactory
·
Needs Improvement
27.
Completes homework assignments on a
daily basis
(This skill counts
5 times each quarter). No late
homework
is accepted.
Also, you have two days to turn in homework
if you are
absent.
- Makes positive contributions to class work
How is the level of understanding of each skill
determined?
Very competent: You answered that skill correctly
90% of the time
Competent: You answered that skill correctly 82% of
the time.
Satisfactory: You answered that skill correctly 74%
of the time.
Needs Improvement: You answered that skill correctly
less than
74% of the time.
On each assessment
question, you score a yes,
possibly or a no.
How is your grade determined?
A Grade: You were rated very
competent in at least 85% of
the skills and you do not have a rating on any
skill at Satisfactory or below level.
B Grade: You were rated very
competent in at least 80%
of the skills and less than two skills were rated
Satisfactory and no skill were rated Needs Improvement.
C Grade: You were rated competent or
very competent in at
least 70% of the skills and less than two skills were
rated
Needs Improvement.
D Grade: You were rated competent or
very competent in at
least 60% of the skills and less than 5 skills were
rated
Needs Improvement.
F Grade: Do not meet any of the above
criteria.
Your course grade is determined by:
Each quarter 40%, semester exam 20%
All homework will be given through my website:
Assignments are found at the
end of this page.
http://wwwf.countryday.net/facstf/us/tumolos/
Then, click the assignments
button and locate your class.
HOW TO STUDY FOR
THIS COURSE
v
Stay Current
v
Read the textbook carefully and study the examples
v
Use 3 x 5 cards for key ideas and definitions
v
Do all of your homework doing the homework is crucial
for
success in this course
v
Take good notes and study them nightly
v
Redo homework problems to study for quizzes and tests
EXTRA HELP SESSIONS
v
My free
periods are: A, G and H
v
Your free
periods are:
v
Before and after school let me know you are coming
v
Come for help frequently
IF YOU ARE ABSENT,
YOU MUST
v
Makeup all missed announced quizzes and tests within a reasonable
time
period (less than a week)
v
Get your assignments from a friend or the website
__________________________________________________________________________________
Notebook Details:
- Date all material and relate each entry to a section in
the text
- Identify the question under discussion
- Annotate your notes
- Loose Leaf Binder is the required notebook type
- Sections in the binder for:
- Class Notes and Class Readings
- Homework with a date, and section and page numbers
- Tests and Quizzes
- Activities
Class Work Details and Grade Rubric
Excellent Participation and makes comments that moved the
class forward
Good Participation and thoughtful questions
Little Participation and a few questions were asked
No Participation but on task during class
No Participation and not on task during class
Assignments:
Assignments are due on the given date
Due August 29
Welcome Back to school -- hope you had a great summer and are ready for an
exciting year.
Due August 30
Do Sections 1 and 2 from the worksheet
You will find review material on these topics in Chapters 0, 1, 2 and section
9.1
Due August 31
Go to the following site and install both programs if needed. See me if you
have any problems.
Dyknow has upgraded to version 5.0. Anyone who plans
to use dyknow must upgrade to the newest version. If you received a new
computer this year or have been reimaged in the last 2 weeks, you do not
need to do anything. You have the latest version and are ready to go
If you have an
M400(with internal dvd drive) you need to click here
\\yeiser\install\dyknow\dyknowinstall5063.msi to install dyknow. once
it restarts you are ready to go.
If you have an m200(no
internal dvd drive) you need to
1) install dotnet 2.0
\\yeiser\install\DyKnow\dotnetfx.exe
2) NOW INSTALL dyknow
at \\yeiser\install\dyknow\dyknowinstall5063.msi
and after a restart you are ready to go.
Plus do the following problems
Do Sections 3, 4 and 5 from the worksheet
Due September 3
No School -- Labor Day Holiday
Due September 4
You should have dyKnow ready for class
Do Sections 6, 7 and 8 from the worksheet
Due September 5
In the text read section 3.1. Study the examples carefully. What is
a limit? (See the definition
on page 186). There is an important table on page 191. Read and
study it carefully.
Do the problems on pages 193-194; 1, 3, 4, 8, 15, 19, 23, 27, 31
Due September 6
Quiz on all material covered to date
Due September 7
No Class -- Drop Day
Due September 10
Read Section 3.4 -- Average Rates of Change.
Study the examples carefully. The definition of the average rate of change
is given on pages 213 and 214.
Both definitions are important to know. The table on page 218 is
important.
Do pages 218-224; 1, 4, 9, 13, 19, 21, 26, 39, 46
Due September 11
Read Section 3.4 -- Average Rates of Change.
Study the examples carefully. The definition of the average rate of change
is given on pages 213 and 214.
Both definitions are important to know. The table on page 218 is
important.
Do pages 218-224; 5, 11, 22, 23, 26, 32, 33, 36, 51
Due September 12.
Read Section 3.5 -- The derivative of a function. This is a very important
section.
The definition on page 226 is very important. Distinguish between a
tangent line and a secant line (see
page 229). The formula to calculate the approximate derivative value is on
page 230 and very
important. The formal definition of the derivative is on page 235.
You need to know this definition.
Do pages 238-245; 1, 5, 13, 15, 19, 23, 33, 34, 41, 45
Due September 13
This will be the class work for today.
Read Section 3.5 -- The derivative of a function. This is a very important
section.
The definition on page 226 is very important. Distinguish between a
tangent line and a secant line (see
page 229). The formula to calculate the approximate derivative value is on
page 230 and very
important. The formal definition of the derivative is on page 235.
You need to know this definition.
Do pages 238-245; 11,24, 36, 51, 55, 57, 61, 72, 75, 79
Due September 14
This will be the class work for today.
Get dyKnow working.
Worksheet given in class on sections 3.4 and 3.5
Due September 17
Drop Day
September 18
Test on all material to date; all material since the beginning of the year.
The emphasis is on the material in chapter 3.
September 19
Do pages 238-245; 59 - 64 (all), 76, 83, 89
Read Section 3.6 and study the examples carefully
Do page 253-255; 5, 8, 12, 31, 39, 45
September 20
Test corrections are due on a separate sheet of paper
Read Section 3.6 and study the examples carefully
Do page 253-255; 37, 41, 44, 46, 51
Read Section 3.7 -- Study the examples and learn the rules on page
September 21
Read Section 3.7 and learn the rules
Do page 265- 267; 1, 3, 7, 13, 23, 33,53, 55, 65, 75
September 24
No Homework
September 25
Drop Day
September 26
Chapter Review -- pages 281-284; 1, 4, 5, 9, 17, 22, 23, 25, 29, 31, 40
September 27
Test on the material in chapter 3
September 28
Read Section 4.1 and 4.2 -- The product and quotient rules -- The rules appear
on page 297
Study the examples very carefully.
October 1
Senior College Visit Weekend
October 2
Senior College Visit Weekend
October 3
Drop Day -- no class
October 4
Read Section 4.1 and 4.2 -- The product and quotient rules -- The rules appear
on page 297
Study the examples very carefully.
Do page 304; 21, 22, 25, 26
Do pages 304-305; 25, 26, 33, 40, 57, 59, 65, 77
October 5
Test Corrections
Read Section 4.2 on the Chain Rule. The table on page 309 is very
important.
The examples are important and this is a good time to think about composition of
functions.
Note the alternate forms of the chain rule given on pages 314 and 315.
Finish the problems from pages 304 and 305 that were due
on October 4, if not finished
Do the worksheet given in class
October 8
Read Section 4.2 on the Chain Rule. The table on page 309 is very
important.
The examples are important and this is a good time to think about composition of
functions.
Note the alternate forms of the chain rule given on pages 314 and 315.
Do pages 316-317; 1, 2, 13, 14, 35, 37, 49, 53
October 9
Read Section 4.2 on the Chain Rule. The table on page 309 is very
important.
The examples are important and this is a good time to think about composition of
functions.
Note the alternate forms of the chain rule given on pages 314 and 315.
Do pages 316-317; 4, 15, 19, 38, 43, 54
Read Section 4.3
Do pages 327-328; 2, 8, 9, 15, 45, 46, 78
October 10
Notebooks will be collected
Test -- all material in Chapter 4 and some review material in chapter 3
October 11
No Class -- Drop Day
October 12
No School -- Faculty In-Service Day
October 15
Read Section 4.3 and study the examples
Do pages 327-328; 8, 90, 91
October 16
Read Section 5.1 and learn the vocabulary. The graph on page 352 and the
chart on the top of 353 are very important. The examples are very helpful
and very important.
Do pages 361-363; 1, 7, 10, 16, 20, 31, 38, 51
October 17
Test on all of chapter 4 material
October 18
Review the same homework
Read Section 5.1 and learn the vocabulary. The graph on page 352 and the
chart on the top of 353 are very important. The examples are very helpful
and very important.
Do pages 361-363; 1, 7, 10, 16, 20, 31, 38, 51
October 19
Read Section 5.2. The examples are very important and instructive.
Examples 2, 3 and 4 are very important. You need to know them and their
methods.
The chart on pages 365-366 to solve max-min problems is very helpful.
Do pages 370-371; 5, 9, 17, 34, 41
October 22
Drop Day -- not class
October 23
Test corrections are due
Read Section 5.2. The examples are very important and instructive.
Examples 2, 3 and 4 are very important. You need to know them and their
methods.
The chart on pages 365-366 to solve max-min problems is very helpful
October 24
Test corrections are due
Finish Hw on section 5.2
Read Section 5.3 on second derivatives and graphs
What is concavity? What is an inflection point?
Study the examples. The chart on the top of page 381 is very useful.
What derivative represents velocity? What derivative represents
acceleration?
October 25
Read Section 5.3 on second derivatives and graphs
What is concavity? What is an inflection point?
Study the examples. The chart on the top of page 381 is very useful.
What derivative represents velocity? What derivative represents
acceleration?
Do pages 385-386; 1, 10, 11, 17, 29, 37, 61, 67
October 26
Test on Chapter 5 Material -- Sections 5.1 and 5.2 only
October 29
Read Section 5.3 on second derivatives and graphs
What is concavity? What is an inflection point?
Study the examples. The chart on the top of page 381 is very useful.
What derivative represents velocity? What derivative represents
acceleration?
Do pages 385-386; 27, 35, 49, 57, 70, 72
October 30
No class -- Drop Day
October 31
NO HW due
We will begin our work with integral calculus; starting with the calculation of
the area of various regions.
November 1
Test corrections are due
November 2
Practice Worksheet given in class
Do page 409-412; 1, 9, 11, 15, 19, 28
November 5
Test on Chapter 5 (max-min, inflection points and
concavity, and word problems)
Study problems from the old test and the practice worksheet
November 6
You will need this website to do the problems
http://www.slu.edu/classes/maymk/Riemann/Riemann.html
November 7
Drop Day -- no class
November 8
Worksheet/problems given in class
Read Section 6.3 in the text and study the examples
November 9
No School -- Parent Conference Day
November 12
What is a Riemann sum? What is the symbol for a summation statement?
Do page 452; 9, 11, 13, 25, 31
Test corrections are due
The two area problems discussed in class
November 13
Read Section 6.3 and study the examples
Do pages 452; 15, 24, 27, 35, 54
November 14
No class -- Community Service day
November 15
Review for the test from previous material and handouts
November 16
Test on area material
November 19
No class -- Drop Day
November 20
Read Section 6.1 on the Indefinite Integral
Study the vocabulary and study examples 1, 2, 3 and 4 and the application on
page 425.
Review your Physics with examples 6 and 7
Do pages 428-429; 17, 18, 19, 22, 54
November 26
No homework
November 27
Read Section 6.2 -- Anti-derivatives by substitution
Study the examples, especially examples 1 to 6
Do pages 437-438; 1, 3, 5, 19, 21, 25, 28
November 28
Read Section 6.2 -- Anti-derivatives by substitution
Study the examples, especially examples 1 to 6
Do pages 437-438; 9, 27, 29, 3854, 60, 69, 76
November 29
Do page 635-636; 1, 2, 9, 10, 22
Tie Up any loose ends and review for the test
November 30
No Class -- Drop Day
December 3
Test on Chapter 6 and areas
December 4
Notebooks are due
Read Section 7.2 -- Areas between curves. Study the examples
Do pages 491-492; 3, 5, 7, 11, 21
December 5
Read Section 7.2 -- Areas between curves. Study the examples
Do pages 491-492; 6, 15, 17
December 6
Volume Material Given in class
December 7
Volume Material Given in class
December 10
No class -- Drop Day
December 11
Volume Material Given in class
December 12
Test on Areas and Volumes
December 13
Exam Review -- The best way to review for the exam is to
redo the problems from the previous tests.
Don't look for problems types that haven't appeared on previous tests.
Here are some problems you should try in addition to reviewing your old
tests.
Pages 281-284; 1, 5, 8, 13, 19, 23, 29
Pages 339-340; 1, 2, 3, 9, 13
December 14
Exam Review Day -- Our exam is scheduled for Wednesday,
December 19 at 8:30 am in room 206
Chapters 6 and Volumes are relatively recent and
should be reviewed on your own.
Here are some review problems from chapter 5
Pages 409-410; 1, 5, 6, 8, 9,15, 17, 28
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