152 syllabus

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MATH& 152 SYLLABUS FALL 2008 TERM JOHN MITCHELL

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CALCULUS 2 SYLLABUS

WELCOME!

Welcome to Calculus 2! Here youll find information on the necessary preparation for the course, the

course content, and course policies that you need to be aware of.

ABOUT THE COURSE

Course Identifiers Math& 152, Section A, Course # 3133.

Location and

Time

Room 001, Bauer Hall. Lectures are at 9.00-9.50 a.m. Monday Friday.

Prerequisites You must have earned a C or better in Calculus 1, or recommending score in theplacement test. Note that a C- does not suffice.

ABOUT YOUR TEACHER

Name John Mitchell, B. Sc., M. Sc. (University College Dublin, Ireland).

Contact

Information

OFFICE LOCATION: BHL (Bauer Hall) Room 006

MAIL BOX: Bauer Hall, Mathematics Dept.

PHONE: (360) 992 2978, or ext 2978 on campus.

E-MAIL: [email protected]

Office Hours 11-11.50 a.m. Monday, Thursday, and 1.10-2.00 p.m. Tuesday, or by appointment.

Please feel free to stop by during these times with any questions on your progress in

the course. However, unfortunately, I cant give private lectures for missed classes.

COURSE MATERIALS AND OTHER RESOURCES

Textbook Calculus: Early Transcendental Functions, 4th

Edition (Larson et al).

StationaryPencil, Ruler, Letter-size ruled paper, graphing paper. Assignments can be submitted

on either paper type, however graphing paper is recommended for, well, graphs.

Online ClassMaterials:

Most of the handouts will also be online in case you missed the class or needadditional copies. Some larger documents will be exclusively online. Make sure you

have a college account, regular access to either your private or a college e-mail

address, and the technical expertise to print online documents when you need to. I

currently post documents to my web site: http://web.clark.edu/jmitchell.

During this term I may move some of my online course material to Blackboardto

take advantage of its features. If this takes place, Ill give you more details as the

term progresses, including in-class demos if necessary.
mailto:[email protected]://web.clark.edu/jmitchellhttp://web.clark.edu/jmitchellmailto:[email protected]

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Graphing

Calculator

A Texas Instruments model (TI-83, 83+, 84+, 86, 89, Voyage 200, Nspire) is required.

Demonstrations in class will normally be done on a TI-84+, so if you have a different

model, then be sure you know how to use it. Please come see me during the first

week of term if you need further clarification on what model to get.

Other Materials In addition to the textbook, there are other supplementary materials that may help

you during the term, such as Solutions Manuals etc. Details are on page xvi of your

text, and on the publishers website:

http://college.hmco.com/mathematics/larson/calculus_early/4e/student_home.html

Theres a wealth of Calculus reference material online. Ive some links on my web

site, but feel free to explore and share your findings with the class.

Computer

Algebra System

MAPLE version 11 (or 12, which has just been released) is recommended (but not

required to purchase) in this course to investigate these topics further, and solve

applied problems that would be difficult or impossible by hand. Maple is installed in

the computer labs in Bauer Hall, or you can purchase your own copy. Well do an

introduction to the package this term, and give you the expertise to take it further in

the future.

Theres an optional text that you may wish to get for the Maple aspects of the

course. Its called: Maple by example, 3rd

edition, by M. Abell. There are copies in the

college bookstore. However I have online tutoring materials that you should find

sufficient to get a solid foundation.

THE COURSE

Description This course is the 2nd course in the standard 4 quarter calculus sequence, and will be

accepted as such by participating colleges in the Pacific Northwest and many other

U.S. colleges. It should also be acceptable for entry to the 2nd

semester of a 3

semester calculus sequence (in fact, you will have already covered some of the 2nd

semester material). However, check with your intended college if youre uncertain of

the transfer requirements.

Contents Well develop the techniques you covered in calculus 1, and apply them to real -world

applications.

Topics covered include:

A brief review of Calculus 1, particularly integration. Further integration techniques (5.8,5.9) Applications of Integration (Chapter 7) Integration Techniques, LHospitals Rule, Indeterminate forms (Chapter 8). Conics, Parametric Equations and Polar Co-ordinates (Chapter 10).

We may cover additional topics, time permitting.
http://college.hmco.com/mathematics/larson/calculus_early/4e/student_home.htmlhttp://college.hmco.com/mathematics/larson/calculus_early/4e/student_home.html

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My Teaching

style and

philosophy

During this course, I will do my best to challenge, inspire, and motivate you, and make

this course a worthwhile part of your academic growth. Topics will be presented in

lecture format, and illustrated through worked examples. My preference is to work

through examples live rather than bring canned solutions, so you can see the

reasoning process behind the answer as well as the finished solution. Since the best

way of learning new topics is to try them out, a good deal of class time will be spenton exercises, both individually and in groups.

Getting the most

out of the course

Well be covering a range of new concepts in a relatively short time. Because of this,

well have limited time for revision of prerequisites, or going back over previous

topics. Being successful in the course will require hard work and self-discipline on

your part. Specifically:

Ensure youve mastered the prerequisites! Ill discuss specifics during thefirst week.

Be prepared for each class and attentive during it. Keep current with homework assignments, and make sure that youre

prepared to ask any homework questions at the start of the next class.

Dont fall behind seek help if you need it (see getting help). Since most of the grading is on tests, practice doing examples under test

conditions (timed and closed-book) as much as possible.

COURSE POLICIES

Attendance Attendance is expectedyou should attend class unless theres a serious reason. If

you must miss a class, you do notneed to contact me in advance, unless its a test or

quiz day. However, its your responsibility to find out what you missed (assignments,

lecture notes etc). See your classmates rather than me for this.

If you must miss a test or quiz day, you must contact me in advance and Ill try

wherever possible to schedule a make-up test or other suitable accommodation.

Students who dont get prior permission for an absence will be given a zero grade for

the test or quiz.

Note finally that failure to attend one or more sessions during the first five days of

the quarter may result in you being dropped from the class for non-attendance

please contact me in person or by e-mail if you must be absent during this period.

Attitude and

Conduct:

There is a Student Code of Conduct that you are expected to comply with. See the

College Catalog for details. Ill emphasize some specific conduct areas here. I should

stress that in my experience Clark College students in general display an exceptional

attitude towards learning and conduct themselves with a high degree of

professionalism, both within the classroom and outside. I dont expect to have to

deal with conduct issues this term. Dont let your classmates and me down!

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Attitude and

Conduct

(Continued)

In summary I ask that you come to the class with a positive attitude, and that you are

respectfulof your classmates and me at all times. Behavior that is disruptive to the

learning environment in class will not be tolerated, and may lead to your removal

from the class and further disciplinary action by the college.

Some specific conduct issues to keep in mind:

Be attentive during class, and dont distract others while the class is in session . In

particular, refrain from any side conversations while the class is in progress. This is

disrespectful to those who are trying to concentrate.

Questions on the material are encouraged and Ill regularly prompt for them.

However, make sure that I am facing the class, know you have a question, and am

ready to answer it before asking.

Also, make sure questions and comments to either your classmates or me are

directed in a respectful, non-confrontational manner.

Arrive on time and ready to start the session, with any due assignments ready tohand in and stapled. If you are late for class, ensure that your entrance does not

disturb your classmates.

College regulations allow only registered students to attend classplease dont bring

guests (such as your children).

Exercise academic integrity. If you are caught cheating on an assignment (either in

class or take home) you will be given a zero grade and your name forwarded to

student services. Further action (including expulsion from the college) may be taken

if the circumstances warrant it. To stress this: Cheating has serious consequences for

your academic career. Dont even think about doing it.

Please turn off cell phones before class starts. Any use within class (including texting)

is prohibited.

Withdrawing

from the course

You may drop the class anytime on or before the Friday of the seventh week of

classes without instructor permission. Past this time, drops are notallowed (even with

instruction permission).

COURSE REQUIREMENTS: ASSIGNMENTS, ASSESSMENT, GRADING

Overview Your grade is determined by: take-home assignments (or WORKSHEETS), QUIZZES,

MID-TERM TESTS and a FINAL. However, to do well in these areas, its critical that

you keep current with homework.

Homework Homework will be assigned daily from the textbook. While it wont be collected,

completing homework assignments after each class is crucial to completing the

course successfully. Additionally, the worksheets are based on the textbook

homework, and often develop the ideas in it further, so attempting worksheets

without having done the relevant exercises from the textbook is difficult.

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Worksheets There will be several (3 are projected) take-home worksheets to be turned in. A set of

guidelines will be handed out prior to the first one. Worksheets should follow these

guidelines, or credit will be reduced. The due date will be specified at assignment

time. Again, late worksheets will not be graded. Exceptions may be made for good

cause on a case-by-case basis. If you anticipate a problem with turning a worksheet in

on time, please contact me in advanceof the due date. If you cant make the class on

an assignment date, you can deposit the worksheet in my mailbox before the start of

the class in which it is due

Tests and

Quizzes

The tests and quizzes during the course assess your understanding of the material and

ability to apply it to mathematical problems. There will be 3 tests during the course,

and a comprehensive final exam on the entire course. See the attached schedule for

projected test dates. There will also be several shorter quizzes during term, which will

be announced in class in advance. Note that not knowing about a quiz day is not an

acceptable excuse for lack of preparation for a quiz, so ensure that you check with

your classmates if you miss a class.

Generally, makeup exams are not possible. Exceptions may be made on a case-by-

case basis for serious reasons; however you must contact me in advance of the test

date to make such an exception.

Grading The projected grading breakdown for the course is:

Quizzes: 16% (4 quizzes projected) Worksheets: 27% (3 worksheets anticipated) Midterm Tests: 30% (3x10%) Final: 27%

The weighted percentage average of your marks on the assignments will be converted

to a letter grade as follows: Note that grading Pass-Fail or credit/no credit is not an

option for this course.

93-100% A 90-92% A-

87-89% B+ 83-86% B 80-82% B-

77-79% C+ 73-76% C 70-72% C-

67-69% D+ 63-66% D 60-62% D-

Less than 60% F

Ill discuss the detailed marking schemes for quizzes, worksheets and tests early in the

term.

Final grades are not for public viewing, and will not be given over the phone, either by

me or by the Mathematics Dept. office. You may access them as soon as they are

listed by phoning 690-4624 and following instructions, using the web, or from the

campus information kiosks. See the section on Grades and Records in the college

catalog for additional college regulations on grades, including topics such as

confidentiality and the appeals procedure.

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GETTING HELP

From Your

Teacher

Ill prompt regularly for any questions during class. If you dont understand what

weve just covered, dont hesitate to ask.

Make an appointment with me if you need additional guidance outside class hours. I

can give you guidance such as: discuss your overall progress and give guidance if

needed, check a take-home assignment to see if its showing the right work, and so

on. However, unfortunately time constraints mean I cant give private lectures for

missed classes.

From the

Mathematics

Department and

the College

There are MATH HELP SESSIONS available to you in BHL107. Ill be there on

Tuesdays and Wednesdays at 11-11.50 a.m. Other staff members can help you as

well - the schedule will be posted on bulletin boards throughout Bauer Hall.

The TUTORING CENTER in Hawkins Hall (and other locations) has tutors available in

many subjects, including mathematics, during posted hours. You can contact them at

360-992-2253.

From your

classmates

Most important, seek help from, and offer help to, each other the best way to

increase your understanding of an idea is to try teaching it to others. The most

successful students are usually those who form study groups with colleagues.

ADA ACCOMODATIONS

What to do If you have emergency medical information which should be shared, or if you require

assistance in case the building should be evacuated, please make an appointment to

see me as soon as possible during the first week of term, during the office hoursindicated. Any student with a disability who may require some consideration or

assistance in order to fully participate in this class should contact the Disability

Support Services Office at 360-992-2314 or360-992-2835 (TTY) or stop by Penguin

Student Union (PSU) room 014.

EMERGENCY AND OTHER IMPORTANT CAMPUS INFORMATION

Inclement

weather or

emergency

information

Go to www.clark.edu or call 360-992-2000 as your first means of getting information.

The College does send notices to radio and television stations, but the Colleges web

site and switchboard are the official platforms for the most accurate information.

Immediate

emergency

communication

alert

To receive immediate notice on emergencies, you can register your cell phone

number to receive text pages and your email address to receive email messages. To

do this, go to www.flashalert.net. Select Subscribe on the left, and follow the

instructions. Mass communication will also be sent to all college employee phones

and computers.
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Fire Alarm Evacuate the building through closest exit; evacuation maps are located in the

hallways. Take personal belongings only if it is safe to do so. Remain at least 50 feet

from the building. Notify others of evacuation. Do not re-enter building until

instructed to do so.

Parking Lot

Identifiers

New parking lot identifiers using colors and numbers have been assigned to all Clark

parking lots. To help emergency or security personnel locate you, please refer to

these identifying features.

Security Escorts Security Officers are available for escorts: please call 360-992-2133.

STUDENT LEARNING OUTCOMES

Overview This section describes the skills you will develop during this course and how they will

be assessed. Before discussing the details, some background information on the

framework that Clark College uses to describe learning outcomes and assessment ingeneral may help.

Details Firstly, of the six campus-wide abilities the main skills that are emphasized in this

course are critical thinking/problem solving and communication. In this course you

will develop your abilities to (a) analyze and solve calculus problems using a range of

mathematical techniques (developing your critical thinking and problem solving

ability), and (b) explain your problem-solving strategy in both oral and written form

(developing your communication ability).

Clark College has identified that quantitative disciplines (such as Mathematics) have a

set of overall Student Learning Outcomes associated with them, namely:

Comprehend the content and evaluate the quality of quantitativeinformation.

Use appropriate vocabulary and notation of quantitative methods. Analyze and solve quantitative problems using appropriate methods. Interpret and explain solutions to quantitative problems. Perform accurate mathematical operations appropriate to the disciplines

and/or the occupation.

Each course has a set of detailed Course Outcomes that fall in to one of the above

categories. The spreadsheet on the following pages gives the details of the outcomes

that well be assessing in this course, what Learning Outcome they pertain to, andwhat ability they relate to. Ive illustrated the course outcomes with examples. If you

dont understand it fully, dont worry. It wont be on a test!

A Summary The main lesson to take from this section is that youre not just learning a random set

of mathematics topics this term. Youre developing a range of problem solving and

communication skills that will benefit you in future courses, as well as other parts of

your personal and professional life.

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STUDENT LEARNING OUTCOMES TABLE

The table below relates the 5 student outcomes listed in the previous section to how they will be assessed

in the course.

STUDENT LEARNING

OUTCOMES

COURSE OUTCOMES EXAMPLES (WHERE NECESSARY) ASSESSED BY CAMPUS WIDE

- ABILITY

Comprehend the

content of and

evaluate the quality of

quantitative

information

Develop the ability to

identify the set of calculus

techniques a problem

pertains to.

Know that in a physics work problem

where the work done is a function of

distance, you will need to set up an

integralto determine the work done.

Quizzes/Tests

Worksheets

Problem

solving/Critical

Thinking

Assess what tools are

necessary to solve a calculus

problem (by hand, graphs,

computer algebra systems,

etc.)

Given an integral, determine if it can

be done using an algebra technique

(e.g. substitution) or must be done

using either a computer algebra

system or tables.

Quizzes/Tests

Worksheets

Problem

solving/Critical

Thinking

Develop a feel for howhard a calculus problem is

whether it requires many

steps or few.

Deciding if an integral is easy just a

few steps to write down the answer

or hard, requiring a harder

technique such as integration by parts

or partial fractions

Quizzes/Tests

Worksheets

Problem

solving/Critical

Thinking

Assess when a rough

estimate of the answer can

be obtained without

detailed calculation, and

provide the estimate in this

case.

Estimating the arc length of a

parametrized curve, before finding it.

Quizzes/Tests

Worksheets

Problem

solving/Critical

Thinking

Use appropriate

vocabulary and

notation of

quantitative methods

Use and interpret calculus

mathematical notationappropriately in problem

solution.

Using integral notation aspects

correctly, including knowing when anintegral is a well formed expression

and when its not (e.g. its missing a

differential part).

Quizzes/Tests

Worksheets

Communication

Comprehend basic calculus

terms (parameterized curve,

etc) and describe them in

your own words.

Describing in your own words and

pictures the essential difference

between finding volumes using the

diskmethod and the shellmethod.

Quizzes/Tests

Worksheets

Communication

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STUDENT LEARNING

OUTCOMES

COURSE OUTCOMES EXAMPLES (WHERE NECESSAR Y) ASSESSED BY CAMPUS WIDE

- ABILITY

Analyze and solve

quantitative problems

using appropriate

methods

Analyze and solve drill

problems using basic calculus

methods

Finding the value of23

1

xxe dx by

hand, using substitution and showing

work.

Tests/Quizzes,

Homework

Problem

solving/Critical

Thinking

Solve applied problems (e.g.in physics, engineering) using

the techniques from algebra

and calculus

Finding the pressure on the portholeof a submarine, using calculus.

Worksheets Problemsolving/Critical

Thinking

Apply technical tools

(graphical calculators,

computer algebra systems

such as MAPLE) as

appropriate in solutions

Using MAPLE or your graphing

calculator to find the value of an

integral which cant be done

algebraically such as23

1

xe dx .

Worksheets

(MAPLE)

Tests (graphical

calculators)

Problem

solving/Critical

Thinking

Information

technology

Perform accurate

mathematical

operations

appropriate to the

disciplines and/or the

occupation

Perform by hand calculus 2

operations.Finding sinx x dx using

integration by parts.

Tests/Quizzes

and worksheets

Problem

solving/Critical

Thinking

Perform calculus 2 operations

using the appropriate

computational tool (e..g

MAPLE).

Determining the area between two

graphs using your graphing calculator.Tests/Quizzes

and worksheets

Problem

solving/Critical

Thinking

Interpret and explain

solutions to

quantitative problems

Develop good structure

habits for longer problems, or

those with many parts.

For a long problem such as

integration using partial fractions,

organizing your work so the narrative

is clear.

Worksheets Communication

Interpret applied results

using appropriate units in

plain English.

Using correct units (either imperial or

metric) for the work done in a work

problem.

Worksheets Communication

TENTATIVE COURSE SCHEDULE

A projected schedule is on the next page note that the dates and topics are tentative and may change

based on class needs. Homework assignments for each topic and other details will be handed out later.

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MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY

1

22 September

Course Overview

Review

23

Review

24

5.7 Review,

substitution.

25

5.8 Inverse Trig

function

26

5.9 Hyperbolics

Intro to MAPLE

2

29

5.9 Hyperbolics7.1 Areas between

curves

30

7.1 Areas betweencurves

1October

7.2 Volumes diskmethod

2

7.2 Volumes diskmethod

3

7.3 Volumes shellmethod

3

6

7.3 Volumes shell

method

7

7.4 Arc length,

Surfaces of

Revolution

8

7.5 Work

Review

9

211 Test 1

10

Faculty Workday

4

13

7.5 Work

14

7.6 Moments

15

7.6 Centers of mass,

centroids

16

7.7 Fluid force and

pressure

17

7.7 Fluid force and

pressure

5

208.1 Basic Integration

rules

218.1 Basic Integration

rules

228.2 Integration by

parts

238.2 Integration by

parts

248.3 Trigonometric

Integrals

6

27

8.3 Trigonometric

Integrals

28

8.4 Trigonometric

Substitution

29

8.4 Trigonometric

Substitution

Review

30

221 Test 1

31

8.5 Partial Fractions

7

3November

8.5 Partial Fractions

4

8.6 Tables

Maple Lab Session or

tutorial

5

8.7 Limits review.

Indeterminate forms

6

8.7 Limits review.

Indeterminate forms

7

8.8 Improper

Integrals

Last Day to

Withdraw

8

10

8.8 Improper

Integrals

11

Veterans Day

Holiday

12

10.1 Conics

13

10.1 Conics

14

10.2 Plane Curves

9

17

10.2 Plane Curves

18

10.3 Parametric

Equations and

calculus

19

Review

20

211 Test 3

21

10.3 Parametric

Equations and

calculus

10

24

10.4 Polar Co-

ordinates

25

10.4 Polar Co-

ordinates

26

Faculty Workday

27

Thanksgiving

Holiday

28

Thanksgiving

Holiday

11

1December

10.5 Area, arc length

in Polars

2

10.5 Area, arc length

in Polars

3

10.6 Polar Equations

of conics

4

10.6 Polar Equations

of conics

5

Review

12 8Finals

9

Finals

10Final: 8-9.50 a.m.

11

Finals

12

Faculty Workday

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152 syllabus

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