Transcript MAT1225

MAT 1236

Calculus III

Spring 2015

http://myhome.spu.edu/lauw

Today

 Course Info

Dr. Wai W. Lau

 Dr. Lau  Wai

Dr. Wai W. Lau

 Dr. Lau  Wai =

Dr. Wai W. Lau

 Dr. Lau  Wai = =

Dr. Wai W. Lau

 Dr. Lau  Wai = =  It is the “wai” in “

Hawaii

” and “

Waikiki

5 minutes…

 The differences of 7 minutes…  Can all of you come 5 minutes earlier?

 Can all of you stay for another 2 minutes, if needed on TRF?

 Be punctual!

Course Web Page

http://myhome.spu.edu/lauw Link to this document and other course information

Office Hours

 See course web page  By Appointment

Prerequisites

 MAT 1235

Prerequisites

 MAT 1235  Actually know the materials covered in Calculus II, NOW ! ( including Maple )  Review HW tonight 13 problems (86 min.)

How to success in this class?

 have good skills in algebra, differentiation, and integration.

 work hard.

 do the homework as soon as possible.

How to success in this class?

 Follow instructions on using • Standard Notations • Standard Presentation  Follow instructions on solutions steps

Course Materials

 Textbook: (required)

Calculus

7 ed. by James Stewart  Access card for Enhanced WebAssign (required)  A copy of

Maple 17

computer for use on your own

Text

Stewart, Calculus, 7th ed.

Access card for Enhanced WebAssign

Your access code card will look like this or this

Textbook Bundle

 We have also negotiated a substantial discount from the publisher for the course materials if you buy the package (textbook + WebAssign Access Card) directly from the publisher or from the SPU bookstore.

• Publisher http://www.cengagebrain.com/micro/1-1L21N5N • The direct price for the package from the publisher is $175.10 with Free Shipping.

• SPU bookstore The price for the package should be $212.80.

Maple 18

 Computer Algebraic System  Buy a discounted copy ($74.25 Compare to Commercial License $2275 ) at https://webstore.maplesoft.com.  (I do not have a code...)

Objectives

 (Refer to the syllabus)

Expectations - Handouts

 You are expected to print and bring your handout to class.

 Fail to have your HO repeatedly will negatively impact your grade.

Expectations - Solutions

 Sufficient and precise solution steps are expected.

 Do not skip steps.

 Pay attention to instructions given to you in class, handout, and feedback from quizzes.

Expectations - Tutoring

Expectations - Tutoring

 Do not “ask” the tutors to do your HW.

 Eventually, you need to know how to do all the HW on your own .

 Able to redo the same HW problems in the textbook.

 Keep your voice down .

 (Hand out Bonus Point Record Sheet)

Expectations - WebAssign

 Write out full solutions. Do not skip steps and details.

  The point is not just to finish your HW, but also understand how to do the HW.

Do not use “illegal” means to get to the answer.

 Correct answers do not mean correct solutions (especially in section 11).

Exams

 2 Mid-term Exams and a Final Exam.

Homework Assignments

 Homework problems will be assigned daily by using the online homework system WebAssign .

Homework Assignments

 All assignments are due 1:50 pm the next school day.

 CAUTION : This site is not at SPU & you should give yourself plenty of time for submitting answers – sometimes the network can be slow or down.

Quizzes

 Each quiz covers homework problems from the last 2 or 3 class meetings.

 Quizzes problems will be based on homework problems.

Class Participation

 You can get class participation points by answering questions in class.  There are small group classwork almost everyday.

Class Participation

 At the end of the quarter, your grades on class participation will be determined by the above activities and other observations by the instructor.

Class Participation

 Please respect your instructor and classmates.

 Do not talk during the lecture. There will be time for you to talk.

 Disruptive and disturbing behavior will not be tolerated.

Class Participation

 No text messaging, web surfing, email sending,……  Turn off your phone before you enter the classroom *** .

Class Participation

 Annoying behaviors will reduce the maximum participation points that you can get.

Points Distribution

Exam 1 Exam 2 Final Quizzes Homework Lab Reports Class Participation 60 points 60 points 80 points 125 points 50 points 10 points 15 points

Final Class Grade

90% 80% 70% 60% Below 60% A Range B Range C Range D Range E

Missing Classes

 You are responsible to catch up all the materials if you miss classes for whatever reasons (sickness, family issues, family Hawaii vacation, etc).  The instructor will not "re-teach" the lecture in any form including special appointments.

Make-Up Policies

NO

makeups for classworks and quizzes.

 If a student has a

documented conflict

that will prevent him or her from taking an exam at the scheduled time, he/she must arrange

IN ADVANCE

with the instructor to take the exam early.

Study Hints

Studying in groups is an efficient way to learn mathematics.

Pre-class Reading (2.5 hours) Class Post-class Study, homework (6-8 hours)

 There are tutorials in the CD-ROM comes with the textbook.

Study Hints

Studying in groups is an efficient way to learn mathematics.

Pre-class Reading (30 min.) Class Post-class Study, homework (1-n hours)

Study Hints

Studying in groups is an efficient way to learn mathematics.

Pre-class Reading (30 min.) Class Post-class Study, homework (1-n hours)

 You need to have a study group by next Monday!!

Help!!

 Free Math tutoring available starting today.

 Location: OMH 249

Help!!

 Talk to me . I am available during office hours and other times.

MAT 1236

Calculus III

Bad Habits

http://myhome.spu.edu/lauw

Bad Habits #1

 4

y

2

dy dx

  4

x

2

dy dx

  4

x

2  4

y

2 

x

2

y

2

Bad Habits #1

 4

y

2

dy dx

  4

x

2

dy dx

  4

x

2  4

y

2 

x

2

y

2  4 2

y dy

 4 2

y dx

  4

x

2  4

y

2

dy dx

x

2

y

2

Bad Habits #2, 3

2 1 

x x

2  1

dx

Summary

 Must change the upper and lower limits.

  Do not change back to the original variable.

For those of you who learned the wrong way , you can blame your past calculus teachers. But it is your responsibility to do the right things from now on.

Bad Habits #4

x

lim  1

x

Bad Habits #4

x

lim  1

x

  “∞” is not a number. It is a concept. You cannot use it to do arithmetic – which is defined for numbers and numbers only.

MAT 1236

Calculus III

WebAssign

http://myhome.spu.edu/lauw

Where Do I Log In?

 Go to the Blackboard and login with your SPU user name and password.

 Find the WebAssign link.

 Note - I synced the roster last Monday. If you registered after that date, I need to sync the roster again.

How Do I Pay for WebAssign?

After logging in you may see a notice that includes Grace Period payment options.

information and

How Do I Pay for WebAssign?

 You can register • a code number if you have an Access Code card -or • you can buy an Access Code online with a credit card.

 After the Grace Period you will see the payment options and not be able to continue without entering an Access Code.

How Do I Pay for WebAssign?

 The general advise is to wait for a few days to enter the code .

 Once the code is entered, it is not transferable.

Number of Submissions

   Expressions – 5 Multiple Choices – 1 Matching – 2

Today’s Homework

 Homework 0.0 (13 problems, 86 min.)  It consists of a few questions to make sure you actually remember your calculus II  Target time: 5-7 minutes per question  Do it carefully the first time  Good study habit: Do your HW ASAP  Free tutoring is available today

Reminder

 Improper integrals are defined limits Type I: 3   1

dx x

t

lim  3

t

 1

dx x

Type II: 2 1  1 2 

x dx

t

lim  2 

t

1  1 2 

x dx