MAT 118 Calculus for Business and Social Science

 

Spring 2009

 

Course ID

Room

Unit

Days

Start Time

End Time

MAT 118

A211

5

M,W

1:30 PM

3:55PM

 

 

INSTRUCTOR:

Helen Shen

 

PHONE:

530-541-4660, Extension 364

 

E-MAIL:

shen@ltcc.edu

 

OFFICE:

A204

 

OFFICE HOURS:

Mon. & Wed.  12:30 – 1:30 PM

Tue. & Thur.  3:00 – 4:30 PM

 

LTCC MATH PAGE:

http://www.ltcc.edu/academics.asp?scatID=5&catID=34

 

REQUIRED TEXT:

Applied Calculus, 5e, by Berresford and Rockett

 

RECOMMENDED TEXT

Student Solutions Manual, 5e, by Berresford, Houghton Mifflin Company

 

COUSE DESCRIPTION:

This is a calculus course for students who intend on majoring in business, social science, or for students who have a general interest in calculus and its application. Topics covered include functions, limits, differentiation, integration, and partial derivatives.

 

PREREQUISITE:

A grade of C or better in Math 154A, Math 154AA, or equivalent; or a satisfactory score on Mathematics Assessment Test.

 

CALCULATOR:

You will need a graphing calculator for this course. TI-84 or TI-89 is recommended. You can rent TI-89 from the library.

 

TUTORING:

Tutoring is available at no cost in A201 (Math Success Center) on a drop-in basis. Students will earn 0.5 point toward the total grade for every 10 hours in MSC or DRC. However, if any student misses more than two classes, no lab credit will be granted.

 

STUDENT LEARNING

OUTCOMES:

1. Evaluate limits, derivatives, and integrals for both single variable and

multivariable functions

2. Apply the integral and derivative to analyze functions that arise from business and social science applications.

3. Solve differential equations that arise from business and social science

Applications.

4. Apply analytic geometry to analyze curves and surfaces.

 

GRADING POLICY:

Method of Student Evaluation

Homework (29 sections at 6 points each)                      174 points

Quizzes* (12 at 3 points each)                            36 points

Exams* (Three at 100 points each)                               300 points

Final (Covers entire course content)                              150 points                   

 

Your letter grade will be based on your percentage of the 660 possible points.

             A        90-100%        

             B         80-89%          

             C        70-79%                                  

             D        60-69%

             F         less than 60%

 

CHECKING YOUR GRADE ONLINE:                

To retrieve your grade information online, follow these steps:

Ø   www.gradesource.com

Ø   student reports

Ø   Instructor Name: Shen

Ø   Click on your class: Math 118

Ø   Your secret number is on your Quiz #1

 

EXAM POLICY:

Grading will be based on progress towards the final answer, and the demonstration

of understanding of the concept that is being tested. The more you show me with

steps and detail, the better your chances for partial credit.  You provide me the

communication and detail in your answers; and I will give you the best grade I can

based on that communication and answer. You can use one page of notes, front and

back, for quizzes, exams and the final.

 

MAKE-UP POLICY:

For Chapter Exams, and the Final, make-up is possible if the absence is excused; there is a 10% penalty if the absence is not excused. The make-up test needs to be taken before the next class. The absence is excused for medical emergencies with the doctor’s note. You can take your test early if you know you are going to miss the class.

 

The first five minutes of each class, there will be a quiz that covers the main point from the previous lecture. Quizzes cannot be made up; however, the quiz with the lowest score will be dropped.

 

For Homework, you must show your work to get credit, half credit for

completion and half credit for selected problems. Homework will be accepted late up to one week after it is assigned for half credit. You can turn in your homework early if you know you are going to miss the class. You can consult a classmate, a tutor, your instructor, or anyone for assistance on the homework.

 

COMMUNICATION

POLICY:

You can communicate with me either by coming to class or office hours, sending

an e-mail, or calling on the phone. I will respond to your e-mails in a timely manner, and I will do my best to return your calls (you need to make sure to leave your number clearly). If you miss the class, it is your responsibility to pick up the class handouts or obtain the information either from your classmates or from me during the office hours.

 

I have students work together to help each other. Please feel free to ask me directly if you like to work with me one-on-one.

 

·   Please see me if you do not understand my policies.

 

·   Since English is my secondary language, please be sure to ask me if you have any difficulty understanding math due to my accent. I will be happy to clarify.

 

LEARNING

DISABILITIES:

If you have a certified learning disability, be sure to discuss your special needs with me during the first week of class. Learning disabilities will be        accommodated.

 

REGISTRATION:

·   You must register for this class at the Office of Admissions and Records.

·    The last day to drop the class with no record is Friday, May 1.

·    The last day to declare CR/No Credit is Friday, May 1.

·    The last day to drop the class for a “W’ grade is Friday, May 22.

·    After May 22, if you are enrolled, you will receive some kind of grade.

·    It is your responsibility to drop the class in order to avoid a grade. You can choose Credit/Non-Credit for the class before the date specified on the schedule. I will drop a student from the class if the student misses more than four classes and is unable to keep up with the learning.

 

FINANCIAL

ASSISTANCE:

If you need help paying for your books or other expenses, call our financial aid

officer, America Ramirez, at 541-4660 x236, email her at Ramirez@ltcc.edu, or

drop by A100.

 

HOW TO SUCCEED

IN A MATH CLASS:

1)  Read your textbook before class.

2)  Choose to attend all class periods and be on time.

3)  Exchange names and phone number with classmates.

4)  Learn from your mistakes and be patient with yourself.

5)  Don’t be afraid of asking questions.

6)  Know how to get help if you need it.

7)  Organize your class materials.

8)  Do your homework.

9)  Check your work.

10) Hand in assignments on time.

 

 

Tentative Lecture Schedule for Math 118

 

Be sure to use class time, office hours, and the MSC to get all of your questions answered.

For your homework, make sure you separate each section on the different pages and separate each problem on the different lines. There will be one point deduction for each section if the grader cannot read your answers. ALWAYS WRITE THE HOMEWORK # AND SECTION #s FOR EACH HOMEWORK; MAKE SURE TO WRITE THE DATE THAT YOU TURN IN IF YOU TURN IN HOMEWORK LATE.

 

EOO means Every Other Odd (i.e. #1, 5, 9, 13...)

Date

Section  

Topic  

Homework

 

M 4/6

 

 

1.3

1.4

 

Introductions, Discussion of Syllabus

Functions

Functions, continued

 

 

1-33 EOO, 65, 67, 69, (73,) 76, 79

1-13 EOO, 31-45 Odd, 49-55 Odd, 63, 65, 74, 81, 85, (87)

Turn in Homework #1 (Sections 1.3-1.4)

next class

 

W 4/8

 

2.1

2.2

 

Limits and Continuity

Rates of Changes, Slopes, and Derivatives

 

 

1-45 EOO, 81

 

Turn in Homework #2 (Sections 2.1)

next class

 

M 4/13

 

2.2

2.3

 

continue

Some Differentiation Formulas

 

1-39 EOO, 55, 59

1-25 EOO, 31, 33, 45, 47, (50,) 56, (60)

Turn in Homework #3 (Sections 2.2-2.3)

next class

 

W 4/15

 

2.4

2.5

 

The Product and Quotient Rules

Higher-Order Derivatives

 

1-25 EOO, 59, 60, 61, 62, 65, 66, (67)

1a), b), 5a), b), 9a), 13, 15, 17, 21, 33, (40,) 41, 42, 44, (46), 54

Turn in Homework #4 (Sections 2.4-2.5)

next class

 

M 4/20

 

2.6

2.7

 

 

The Chain Rule and the Generalized Power Rule

Nondifferentiable Functions

 

 

1-41 EOO, 53, 58, (59, 62,) 63

1, 5, 9, 15

Turn in Homework #5 (Sections 2.6-2.7)

next class

 

W 4/22

 

3.1

 

 

Graphing Using the First Derivative

Review for Exam 1

 

1-4 all, 11, 13, 17, 33, (65,) 71

Turn in Homework #6 (Sections 3.1) on Apr. 29

 

M 4/27

 

 

Exam 1 (Section 2.1~2.7)

 

 

W 4/29

 

3.2

3.3

 

Graphing using the First and Second Derivatives

Optimization

 

1,5, 9, 13, 41, 47, 49, 51, 52, (60,) 66

1-17 EOO, 26, 28, 30, 31, 32, 37, 41, 56

Turn in Homework #7 (Sections 3.2-3.3)

next class

 

M 5/5

 

3.4

3.5

 

 

Further Applications of Optimization

Optimizing Lot Size and Harvest Size

 

 

1, 3, 8, 14, (16)

1, 5, 9, 13, 18

Turn in Homework #8 (Sections 3.4-3.5)

next class

 

W 5/6

 

4.1

4.2

 

Exponential Functions

Logarithmic Functions

 

1-9 odd, 12, 13, 27, 28, 33, (36,) 37, 43, 49

1, 3, 5, 7, 15, 17, 25, 36, 43, 47

Turn in Homework #9 (Sections 4.1-4.2)

next class

 

M 5/11

 

4.3

4.4

 

 

 

Differentiation of Logarithmic and Exponential Functions

Two applications to Economics: Relative Rates and Elasticity if Demands

 

1-55 Multiple of 5, 69, 70, 77, 81, 82

 

1-33 EOO, 35

Turn in Homework #10 (Sections 4.3-4.4) next class

 

W 5/13

 

5.1

 

 

Antiderivatives and Indefinite Integrals

Review

 

1-37 EOO, 43,45, (50,) 52

Turn in Homework #11 (Sections 5.1) on May 20

 

M 5/18

 

 

Exam 2 (Section 3.1~3.5 & 4.1~4.4)

 

 

W 5/20

 

5.2

 

5.3

 

Integration Using Logarithmic and Exponential Functions

Define Integrals and Area

 

 

 

1-33 EOO, 35, 39, 43, (48,) 51, 53

 

1-61 EOO (skip 13, 17), 75, 76, 81, 84, 85, 90

Turn in Homework #12 (Sections 5.2-5.3) next class

 

M 5/25

 

 

MEMORIAL DAY HOLIDAY

 

 

W 5/27

 

5.4

 

5.5

 

Further Applications of Defined Integrals: Average Value and Area between Curves

Two Applications to Economics: Consumer’s

Surplus and Income Distribution

 

1-21 EOO, 27, 33, 37-53 EOO, 63, 67

 

1-29 EOO, 31

Turn in Homework #13 (Sections 5.4-5.5) next class

 

M 6/1

 

5.6

6.1

 

Integration by substitution

Integration by Parts

 

1-49 EOO, 51-59 EOO, 65, 69, (71)

1-41 EOO, 53, 54, 55

Turn in Homework #14 (Sections 5.6-6.1) next class

 

W 6/3

 

7.1

7.2

 

Functions of Several variables

Partial Derivatives

 

 

1-21 EOO, 23, 27, 33

1-41 EOO, 45, 50, (52)

Turn in Homework #15 (Sections 7.1-7.2) next class

 

M 6/8

 

7.3

 

Optimizing Functions of Several Variables

Review

 

1-17 EOO, 21, 23, (24,) 29, 30

Turn in Homework #16 (Sections 7.3) on Jun. 15

 

W 6/10

 

 

 

Exam 3 (Section 5.1~5.6, 6.1, & 7.1~7.2)

 

 

 

M 6/15

 

7.5

 

 

 

Lagrange Multipliers and Constrained Optimization

 

 

1-21 EOO, 25, 31, 32

 

Turn in Homework #17 (Sections 7.5)  next class

 

W 6/17

 

 

Review for Final

 

 

M 6/22

 

 

Cumulative Final Exam

 (2:00-3:50pm)     Noted time